Math | Class 12

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    Chapter 1 Introduction to Symbolic Package: Maple (16 videos) (Practice Test)

      1.1: Introduction to Maple Environment (Practice Test)
      Introduction to Maple Environment
    1. Introduction to Maple Environment
      2. More on Introduction to Maple Environment
    2. More on Introduction to Maple Environment
      3. Document Mode Vs Worksheet Mode
    3. Document Mode Vs Worksheet Mode
      4. List of Basic Commands or Operators
    4. List of Basic Commands or Operators
      5. Recognise Maple as a Calculator-1
    5. Recognise Maple as a Calculator-1
      6. Recognise Maple as a Calculator-2
    6. Recognise Maple as a Calculator-2
      1.2: Polynomials (Practice Test)
      Introduction to Maple Polynomials
    1. Introduction to Maple Polynomials
      2. Factorization of a Polynomials in a Maple
    2. Factorization of a Polynomials in a Maple
      3. Simplifying and Expanding Polynomials Commands in a Maple
    3. Simplifying and Expanding Polynomials Commands in a Maple
      4. Simplifying and Substitution Commands in a Maple
    4. Simplifying and Substitution Commands in a Maple
      1.3: Graphics (Practice Test)
      Two Dimensional Plot Command
    1. Two Dimensional Plot Command
      1.4: Matrices (Practice Test)
      Introduction to Matrix Command in Maple
    1. Introduction to Matrix Command in Maple
      2. Matrices Addition and Subtraction Commands in Maple
    2. Matrices Addition and Subtraction Commands in Maple
      3. Matrices Multiplication in Maple
    3. Matrices Multiplication in Maple
      4. Matrices Inverse in Maple
    4. Matrices Inverse in Maple
      5. Transpose and determinant of a Matrix Command in Maple
    5. Transpose and determinant of a Matrix Command in Maple

    Chapter 2 Functions and Limits (63 videos) (Practice Test) (Exercises Exercise Answers)

      2.1: Functions (Practice Test)
      Introduction to Function
    1. Introduction to Function
      33866 views
      2. More on Introduction to Functions
    2. More on Introduction to Functions
      11149 views
      3. Domain & Range of Binary Relation
    3. Domain & Range of Binary Relation
      16264 views
      4. Graphs of Algebraic Functions
    4. Graphs of Algebraic Functions
      3532 views
      5. Graph of Functions Defined Piece-wise
    5. Graph of Functions Defined Piece-wise
      3167 views
      2.2: Composition of Functions (Practice Test)
      Composition of a Functions
    1. Composition of a Functions
      4293 views
      2. Problem-Composition of Functions
    2. Problem-Composition of Functions
      1735 views
      2.3: Inverse of Composition of Functions (Practice Test)
      Inverse of Composition of Functions
    1. Inverse of Composition of Functions
      2. Problem-Inverse of Composition of Functions
    2. Problem-Inverse of Composition of Functions
      2.4: Trascendental Functions (Practice Test)
      Algebraic Functions
    1. Algebraic Functions
      9511 views
      2. Exponential Functions
    2. Exponential Functions
      2470 views
      3. Trigonometric Functions
    3. Trigonometric Functions
      4057 views
      4. Inverse Trigonometric Functions
    4. Inverse Trigonometric Functions
      3827 views
      5. More on Inverse Trigonometric Functions
    5. More on Inverse Trigonometric Functions
      2162 views
      6. Further to Inverse Trignometric Functions
    6. Further to Inverse Trignometric Functions
      1465 views
      7. Logarithmic Function
    7. Logarithmic Function
      2142 views
      8. More on Logarithmic Function
    8. More on Logarithmic Function
      1434 views
      9. Hyperbolic Functions
    9. Hyperbolic Functions
      10. Problem-Hyperbolic Functions
    10. Problem-Hyperbolic Functions
      11. Explicit and Implicit Functions
    11. Explicit and Implicit Functions
      4467 views
      12. Parametric Functions
    12. Parametric Functions
      1938 views
      13. Problem-Parametric Functions
    13. Problem-Parametric Functions
      2.5: Graphical Representations (Practice Test)
      Graph of the Exponential Function
    1. Graph of the Exponential Function
      1482 views
      2. Problem1-Graph of the Exponential Function
    2. Problem1-Graph of the Exponential Function
      788 views
      3. More on Graph of Exponential Function
    3. More on Graph of Exponential Function
      698 views
      4. Problem1-More on Graph of Exponential Function
    4. Problem1-More on Graph of Exponential Function
      602 views
      5. Graph of Common Logarithmic Function
    5. Graph of Common Logarithmic Function
      771 views
      6. Problem1-Graph of Common Logarithmic Function
    6. Problem1-Graph of Common Logarithmic Function
      573 views
      7. Graph of Natural Logarithmic Function
    7. Graph of Natural Logarithmic Function
      636 views
      8. Problem1-Graph of Natural Logarithmic Function
    8. Problem1-Graph of Natural Logarithmic Function
      500 views
      9. Graphs of Implicit Functions-Circle
    9. Graphs of Implicit Functions-Circle
      732 views
      10. Problem1-Graphs of Implicit Functions-Circle
    10. Problem1-Graphs of Implicit Functions-Circle
      522 views
      11. Graphs of Implicit Functions-Ellipse
    11. Graphs of Implicit Functions-Ellipse
      604 views
      12. Graph of Parametric Equations
    12. Graph of Parametric Equations
      832 views
      13. Problem1-Graph of Parametric Equations
    13. Problem1-Graph of Parametric Equations
      631 views
      14. Graphs of Discontinuous Functions
    14. Graphs of Discontinuous Functions
      807 views
      15. Problem1-Graphs of Discontinuous Functions
    15. Problem1-Graphs of Discontinuous Functions
      567 views
      16. Graphical Solution of the Equation
    16. Graphical Solution of the Equation
      796 views
      17. Use Maple Graphic Commands for Two Dimensional Plot a Circle
    17. Use Maple Graphic Commands for Two Dimensional Plot a Circle
      2.6: Limit of a Function (Practice Test)
      Meaning of the Phrase 'x' Approaches zero, Infinity
    1. Meaning of the Phrase 'x' Approaches zero, Infinity
      2801 views
      2. Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
    2. Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
      1672 views
      3. Defining Interval
    3. Defining Interval
      3091 views
      4. Defining Closed, Open, Half Open and Half Closed Interval
    4. Defining Closed, Open, Half Open and Half Closed Interval
      3797 views
      5. Introduction to Neighbourhood in Intervals
    5. Introduction to Neighbourhood in Intervals
      7506 views
      6. Deducting Formulae at Limit Approaches to 0 and infinity
    6. Deducting Formulae at Limit Approaches to 0 and infinity
      2093 views
      7. Problem-Deducting Formulae at Limit Approaches to 0 and infinity
    7. Problem-Deducting Formulae at Limit Approaches to 0 and infinity
      1263 views
      8. Limit at Infinity
    8. Limit at Infinity
      3065 views
      9. Method for Evaluating the Limits at Infinity
    9. Method for Evaluating the Limits at Infinity
      2669 views
      10. Problem-Method for Evaluating the Limits at Infinity
    10. Problem-Method for Evaluating the Limits at Infinity
      1474 views
      11. Defining Sequence and Limit of Sequence
    11. Defining Sequence and Limit of Sequence
      2217 views
      12. Concept of a Limit of a Function
    12. Concept of a Limit of a Function
      4475 views
      13. Problem-Concept of Limit of a Function
    13. Problem-Concept of Limit of a Function
      2035 views
      14. Theorems on Limit of Functions
    14. Theorems on Limit of Functions
      2.7: Important Limits (Practice Test)
      The Sandwitch Theorem
    1. The Sandwitch Theorem
      2442 views
      2. Evaluate Limits of Different Algebraic, Exponential and Trigonometric Functions
    2. Evaluate Limits of Different Algebraic, Exponential and Trigonometric Functions
      3. Maple Command to Evaluate the Limit of a Function
    3. Maple Command to Evaluate the Limit of a Function
      2.8: Continous and Discontinuous Functions (Practice Test)
      One-Sided Limits
    1. One-Sided Limits
      2112 views
      2. Criterion for Existence of Limit of a Function
    2. Criterion for Existence of Limit of a Function
      1874 views
      3. Problem1-Criterion for Existence of Limit of a Function
    3. Problem1-Criterion for Existence of Limit of a Function
      1501 views
      4. Continuity of a Function at a Number
    4. Continuity of a Function at a Number
      2146 views
      5. Test Continuity and Discontinuity of a Function at a Point in an Interval
    5. Test Continuity and Discontinuity of a Function at a Point in an Interval
      6. Problem-Test Continuity & Discontinuity of a Function at a Point in an Interval
    6. Problem-Test Continuity & Discontinuity of a Function at a Point in an Interval
      7. Maple Command for Continuous and Discountinuous Functions
    7. Maple Command for Continuous and Discountinuous Functions

    Chapter 3 Differentiation (53 videos) (Practice Test) (Exercises Exercise Answers)

      3.1: Derivative of a Function (Practice Test)
      Introducing Dependent and Independent Variables
    1. Introducing Dependent and Independent Variables
      10317 views
      2. Average Rate of Change
    2. Average Rate of Change
      5517 views
      3. Derivative of a Function
    3. Derivative of a Function
      10366 views
      4. More on Derivative of a Function
    4. More on Derivative of a Function
      5075 views
      5. Notation for Derivative
    5. Notation for Derivative
      3686 views
      6. Geometrical Interpretation of a Derivative
    6. Geometrical Interpretation of a Derivative
      5746 views
      7. More on Geometrical Interpretation of Derivative
    7. More on Geometrical Interpretation of Derivative
      2818 views
      8. Derivative by First Principle
    8. Derivative by First Principle
      6497 views
      9. More on Derivative by First Principle
    9. More on Derivative by First Principle
      2915 views
      10. Problem1-Derivative by First Principle
    10. Problem1-Derivative by First Principle
      3768 views
      11. Problem2-Derivative by First Principle
    11. Problem2-Derivative by First Principle
      2709 views
      3.2: Theorems on Differentiation (Practice Test)
      Derivative of a Constant Function
    1. Derivative of a Constant Function
      3467 views
      2. Power Rule for Differentiation
    2. Power Rule for Differentiation
      2573 views
      3. More on Power Rule for Differentiation
    3. More on Power Rule for Differentiation
      1523 views
      4. Problem-Power Rule for Differentiation
    4. Problem-Power Rule for Differentiation
      1972 views
      5. Problem1-Power Rule for Differentiation
    5. Problem1-Power Rule for Differentiation
      1653 views
      6. Derivative of a sum or Difference of Functions
    6. Derivative of a sum or Difference of Functions
      1646 views
      7. Problem1-Derivative of a sum or Difference of Functions
    7. Problem1-Derivative of a sum or Difference of Functions
      1408 views
      8. Derivative of Product
    8. Derivative of Product
      1589 views
      9. Problem1-Derivative of Product
    9. Problem1-Derivative of Product
      1458 views
      10. Derivative of a Quotient
    10. Derivative of a Quotient
      1529 views
      11. More on Derivative of a Quotient
    11. More on Derivative of a Quotient
      1153 views
      3.3: Chain Rule (Practice Test)
      Differentiation by Chain Rule
    1. Differentiation by Chain Rule
      4515 views
      2. More on Differentiation by Chain Rule
    2. More on Differentiation by Chain Rule
      1970 views
      3. Problem1-Differentiation by Chain Rule
    3. Problem1-Differentiation by Chain Rule
      1824 views
      4. Problem2a-Differentiation by Chain Rule
    4. Problem2a-Differentiation by Chain Rule
      1349 views
      5. Implicit Differentiations
    5. Implicit Differentiations
      2072 views
      6. Problem-Implicit Differentiations
    6. Problem-Implicit Differentiations
      1263 views
      7. More on Problem-Implicit Differentiations
    7. More on Problem-Implicit Differentiations
      912 views
      3.4: Differentiation of Trigonometric and Inverase Trigonometric Functions (Practice Test)
      Derivative of Trigonometric Functions
    1. Derivative of Trigonometric Functions
      2286 views
      2. More on Derivative of Trigonometric Functions
    2. More on Derivative of Trigonometric Functions
      1413 views
      3. More stuff on Derivative of Trigonometric Functions
    3. More stuff on Derivative of Trigonometric Functions
      1087 views
      4. Problem1-Derivative of Trigonometric Functions
    4. Problem1-Derivative of Trigonometric Functions
      1464 views
      5. Problem2-Derivative of Trigonometric Functions
    5. Problem2-Derivative of Trigonometric Functions
      930 views
      6. Problem3-Derivative of Trigonometric Functions
    6. Problem3-Derivative of Trigonometric Functions
      903 views
      7. Derivative of Inverse Functions
    7. Derivative of Inverse Functions
      2104 views
      8. Derivative of Inverse Trigonometric Functions
    8. Derivative of Inverse Trigonometric Functions
      1543 views
      9. More on Derivative of Inverse Trigonometric Functions
    9. More on Derivative of Inverse Trigonometric Functions
      960 views
      10. Problem1-Derivative of Inverse Trigonometric Functions
    10. Problem1-Derivative of Inverse Trigonometric Functions
      938 views
      11. Problem2-Derivative of Inverse Trigonometric Functions
    11. Problem2-Derivative of Inverse Trigonometric Functions
      760 views
      12. Problem3-Derivative of Inverse Trigonometric Functions
    12. Problem3-Derivative of Inverse Trigonometric Functions
      711 views
      3.6: Derivative of Exponential and Logarithmic Functions (Practice Test)
      Derivative of Exponential Functions
    1. Derivative of Exponential Functions
      1722 views
      2. Problem1-Derivative of Exponential Functions
    2. Problem1-Derivative of Exponential Functions
      1166 views
      3. Derivative of Logarithmic Functions
    3. Derivative of Logarithmic Functions
      1501 views
      4. Problem1-Derivative of Logarithmic Functions
    4. Problem1-Derivative of Logarithmic Functions
      1007 views
      5. Problem Solving-Logarithmic Functions
    5. Problem Solving-Logarithmic Functions
      1011 views
      3.7: Differentiation of Hyperbolic and Inverse Hyperbolic Functions (Practice Test)
      Derivative of Hyperbolic Functions
    1. Derivative of Hyperbolic Functions
      1186 views
      2. More on Derivative of Hyperbolic Functions
    2. More on Derivative of Hyperbolic Functions
      719 views
      3. Problem1-Derivative of Hyperbolic Functions
    3. Problem1-Derivative of Hyperbolic Functions
      542 views
      4. Derivatives of the Inverse Hyperbolic Functions
    4. Derivatives of the Inverse Hyperbolic Functions
      811 views
      5. More on Derivatives of the Inverse Hyperbolic Functions
    5. More on Derivatives of the Inverse Hyperbolic Functions
      527 views
      6. Problem1-Derivatives of the Inverse Hyperbolic Functions
    6. Problem1-Derivatives of the Inverse Hyperbolic Functions
      618 views
      7. Use MAPLE Command Diff to Differentiate a Function
    7. Use MAPLE Command Diff to Differentiate a Function

    Chapter 4 Higher Order Derivatives and Applications (50 videos) (Practice Test) (Exercises Exercise Answers)

      4.1: Higher Order Derivatives (Practice Test)
      Introducing Higher Order Differentiation
    1. Introducing Higher Order Differentiation
      1752 views
      2. Problem1-Introducing Higher Order Differentiation
    2. Problem1-Introducing Higher Order Differentiation
      1278 views
      3. Problem2-Introducing Higher Order Differentiation
    3. Problem2-Introducing Higher Order Differentiation
      906 views
      4. Problem3-Introducing Higher Order Differentiation
    4. Problem3-Introducing Higher Order Differentiation
      799 views
      5. Problem4-Introducing Higher Order Differentiation
    5. Problem4-Introducing Higher Order Differentiation
      807 views
      6. Problem5-Introducing Higher Order Differentiation
    6. Problem5-Introducing Higher Order Differentiation
      7. Find the Second Derivatives of Implicit and Inverse Trignometric Functions
    7. Find the Second Derivatives of Implicit and Inverse Trignometric Functions
      8. Use MAPLE Command Diff Repeatedly to Find the Higher Deerivatives of a Function
    8. Use MAPLE Command Diff Repeatedly to Find the Higher Deerivatives of a Function
      4.2: Maclaurin's and Taylor's Expansions (Practice Test)
      Introducing Maclaurin's Theorem
    1. Introducing Maclaurin's Theorem
      2337 views
      2. More on Maclaurin's Theorem
    2. More on Maclaurin's Theorem
      1132 views
      3. Problem1-Introducing Maclaurin's Theorem
    3. Problem1-Introducing Maclaurin's Theorem
      1020 views
      4. Problem2-Introducing Maclaurin's Theorem
    4. Problem2-Introducing Maclaurin's Theorem
      659 views
      5. Tailor's Theorem
    5. Tailor's Theorem
      1612 views
      6. Taylor Series Expension of Cosx
    6. Taylor Series Expension of Cosx
      7. More on Tailor's Theorem
    7. More on Tailor's Theorem
      952 views
      8. Problem1a-Tailor's Theorem
    8. Problem1a-Tailor's Theorem
      867 views
      9. Problem1b-Tailor's Theorem
    9. Problem1b-Tailor's Theorem
      10. Problem2-Tailor's Theorem
    10. Problem2-Tailor's Theorem
      795 views
      11. Maple Command for Maclaurin's and Taylor's Expansions
    11. Maple Command for Maclaurin's and Taylor's Expansions
      4.3: Applications of Derivatives (Practice Test)
      Geometrical Interpretation of a Derivative
    1. Geometrical Interpretation of a Derivative
      5746 views
      2. More on Geometrical Interpretation of Derivative
    2. More on Geometrical Interpretation of Derivative
      2818 views
      3. Equation of Tangent Line to Parabola at Given Point
    3. Equation of Tangent Line to Parabola at Given Point
      2522 views
      4. More on Equation of Tangent Line to Parabola at Given Point
    4. More on Equation of Tangent Line to Parabola at Given Point
      232 views
      5. Problem-Equation of Tangent Line to Parabola at Given Point
    5. Problem-Equation of Tangent Line to Parabola at Given Point
      750 views
      6. Equation of Normal Line to Parabola at Given Point
    6. Equation of Normal Line to Parabola at Given Point
      914 views
      7. Problem1-Equation of Normal Line to Parabola at Given Point
    7. Problem1-Equation of Normal Line to Parabola at Given Point
      453 views
      8. Intersection of Two Conics
    8. Intersection of Two Conics
      809 views
      9. More on Intersection of Two Conics
    9. More on Intersection of Two Conics
      144 views
      10. Problem1a-Intersection of Two Conics
    10. Problem1a-Intersection of Two Conics
      218 views
      11. Problem1b-Intersection of Two Conics
    11. Problem1b-Intersection of Two Conics
      111 views
      12. Angle of Intersection of Two Curves
    12. Angle of Intersection of Two Curves
      13. Find the Point on a Curve Where the Tangent is Parallel to the Given Line
    13. Find the Point on a Curve Where the Tangent is Parallel to the Given Line
      4.4: Maxima and Minima (Practice Test)
      Increasing and Decreasing Functions
    1. Increasing and Decreasing Functions
      3460 views
      2. More on Increasing and Decreasing Functions
    2. More on Increasing and Decreasing Functions
      2179 views
      3. Problem1-Increasing and Decreasing Functions
    3. Problem1-Increasing and Decreasing Functions
      1992 views
      4. Introducing Relative Extrema
    4. Introducing Relative Extrema
      2038 views
      5. Problem1-Introducing Relative Extrema
    5. Problem1-Introducing Relative Extrema
      1496 views
      6. Relative Maxima and Minima
    6. Relative Maxima and Minima
      2145 views
      7. Problem2-Relative Maxima and Minima
    7. Problem2-Relative Maxima and Minima
      1179 views
      8. Critical Values and Critical Points
    8. Critical Values and Critical Points
      1868 views
      9. Point of Inflexion
    9. Point of Inflexion
      1364 views
      10. Second Derivative Test and Concavity
    10. Second Derivative Test and Concavity
      990 views
      11. More on Second Derivative Test and Concavity
    11. More on Second Derivative Test and Concavity
      719 views
      12. Problem Solving-Second Derivative Test and Concavity
    12. Problem Solving-Second Derivative Test and Concavity
      736 views
      13. Point on the Curve Closest to Given Point
    13. Point on the Curve Closest to Given Point
      1009 views
      14. More on Point on the Curve Closest to Given Point
    14. More on Point on the Curve Closest to Given Point
      15. Problem1a-Second Derivative and Its Applications
    15. Problem1a-Second Derivative and Its Applications
      834 views
      16. Problem2a-Second Derivative and Its Applications
    16. Problem2a-Second Derivative and Its Applications
      631 views
      17. Problem3a-Second Derivative and Its Applications
    17. Problem3a-Second Derivative and Its Applications
      628 views
      18. Problem3b-Second Derivative and Its Applications
    18. Problem3b-Second Derivative and Its Applications
      19. Use MAPLE Command maximize to Compute Maximum Value of a Function
    19. Use MAPLE Command maximize to Compute Maximum Value of a Function

    Chapter 5 Differentiation of Vector Functions (26 videos) (Practice Test) (Exercises Exercise Answers)

      5.1: Scalar and Vector Functions (Practice Test)
      Definition of Scalar and Vector Function
    1. Definition of Scalar and Vector Function
      3122 views
      2. More on Definition of Scalar and Vector Function
    2. More on Definition of Scalar and Vector Function
      1706 views
      3. Domain and Range of Vector Function
    3. Domain and Range of Vector Function
      884 views
      4. Problem-Domain and Range of Vector Function
    4. Problem-Domain and Range of Vector Function
      426 views
      5.2: Limit and Continuity (Practice Test)
      Limit of Vector Function
    1. Limit of Vector Function
      1634 views
      2. Problem-Limit of Vector Function
    2. Problem-Limit of Vector Function
      291 views
      3. Rules for Vector Limits
    3. Rules for Vector Limits
      238 views
      4. Problem-Rules for Vector Limits
    4. Problem-Rules for Vector Limits
      193 views
      5. Continuity of Vector Function
    5. Continuity of Vector Function
      2323 views
      6. Problem-Continuity of Vector Function
    6. Problem-Continuity of Vector Function
      909 views
      5.3: Derivative of a Vector Function (Practice Test)
      Derivative of Vector Function
    1. Derivative of Vector Function
      538 views
      2. More on Derivative of Vector Function
    2. More on Derivative of Vector Function
      340 views
      3. Problem-Derivative of Vector Function
    3. Problem-Derivative of Vector Function
      181 views
      4. How to Check Differentiability of Vector Function
    4. How to Check Differentiability of Vector Function
      606 views
      5.4: Vector Differentiation (Practice Test)
      Consant and Linearity Rule for Vector Functions
    1. Consant and Linearity Rule for Vector Functions
      203 views
      2. Problem-Constant and Linearity Rule for Vector Functions
    2. Problem-Constant and Linearity Rule for Vector Functions
      156 views
      3. Scalar Multiple and Quotient Rule for Vector Functions
    3. Scalar Multiple and Quotient Rule for Vector Functions
      210 views
      4. Dot Product and Cross Product Rule for Vector Functions
    4. Dot Product and Cross Product Rule for Vector Functions
      187 views
      5. More on Dot Product and Cross Product Rule for Vector Functions
    5. More on Dot Product and Cross Product Rule for Vector Functions
      241 views
      6. More on Dot Product and Cross Product Rule for Vector Functions 1
    6. More on Dot Product and Cross Product Rule for Vector Functions 1
      150 views
      7. Problem-Dot Product and Cross Product Rule for Vector Functions
    7. Problem-Dot Product and Cross Product Rule for Vector Functions
      163 views
      8. Chain Rule for Vector Function
    8. Chain Rule for Vector Function
      258 views
      9. Problem-Chain Rule for Vector Function
    9. Problem-Chain Rule for Vector Function
      164 views
      10. Differentiation of Position Vector, Velocity and Acceleration
    10. Differentiation of Position Vector, Velocity and Acceleration
      305 views
      11. Problem-Differentiation of Position Vector, Velocity and Acceleration
    11. Problem-Differentiation of Position Vector, Velocity and Acceleration
      234 views
      12. More on Problem-Differentiation of Position Vector, Velocity and Acceleration
    12. More on Problem-Differentiation of Position Vector, Velocity and Acceleration
      213 views

    Chapter 6 Integration (75 videos) (Practice Test) (Exercises Exercise Answers)

      6.1: Introduction (Practice Test)
      Antidifferentiation and Indefinite Integral
    1. Antidifferentiation and Indefinite Integral
      9618 views
      2. Differentials of Variables
    2. Differentials of Variables
      5001 views
      3. Integral Language and Notation
    3. Integral Language and Notation
      3226 views
      4. Difference between Delta y and dy
    4. Difference between Delta y and dy
      5118 views
      5. Problem1-Difference between Delta y and dy
    5. Problem1-Difference between Delta y and dy
      2349 views
      6.2: Rules of Integration (Practice Test)
      Theorems on Anti-derivative
    1. Theorems on Anti-derivative
      3295 views
      2. Problem1-Theorems on Anti-derivative
    2. Problem1-Theorems on Anti-derivative
      2945 views
      3. Problem2-Theorems on Anti-derivative
    3. Problem2-Theorems on Anti-derivative
      2069 views
      4. Problem3-Theorems on Anti-derivative
    4. Problem3-Theorems on Anti-derivative
      1802 views
      5. Problem4-Theorems on Anti-derivative
    5. Problem4-Theorems on Anti-derivative
      1630 views
      6. To Integrate x Raise to Power n
    6. To Integrate x Raise to Power n
      2955 views
      7. Problem1-To Integrate x Raise to Power n
    7. Problem1-To Integrate x Raise to Power n
      1439 views
      8. To Integrate Sine Functions
    8. To Integrate Sine Functions
      1765 views
      9. To Integrate Cosine Functions
    9. To Integrate Cosine Functions
      1116 views
      10. To Integrate Secant Squared Fucntions
    10. To Integrate Secant Squared Fucntions
      1156 views
      11. To Integrate secx.tanx
    11. To Integrate secx.tanx
      7242 views
      12. To Integrate Cosecant.Cotangent Functions
    12. To Integrate Cosecant.Cotangent Functions
      911 views
      13. Integrating Exponential Functions
    13. Integrating Exponential Functions
      1071 views
      14. To Integrate 1 by x
    14. To Integrate 1 by x
      976 views
      15. To Integrate Tangent Functions
    15. To Integrate Tangent Functions
      910 views
      16. To Integrate Cotangent Functions
    16. To Integrate Cotangent Functions
      693 views
      17. To Integrate Cosecant Functions
    17. To Integrate Cosecant Functions
      699 views
      18. Integrating Power Functions with Given Derivatives
    18. Integrating Power Functions with Given Derivatives
      1291 views
      19. More on Integrating Power Functions with Given Derivatives
    19. More on Integrating Power Functions with Given Derivatives
      900 views
      6.3: Integration By Substitution (Practice Test)
      Integration by Substitution
    1. Integration by Substitution
      4475 views
      2. Some Useful Substitutions in Integration
    2. Some Useful Substitutions in Integration
      2615 views
      3. More on Some Useful Substitions in Integration
    3. More on Some Useful Substitions in Integration
      1388 views
      4. Some More Useful Substitions in Integration
    4. Some More Useful Substitions in Integration
      1171 views
      5. Problem-Integration by Useful Substitution
    5. Problem-Integration by Useful Substitution
      1392 views
      6. Problem2-Some More Useful Substitions in Integration
    6. Problem2-Some More Useful Substitions in Integration
      1111 views
      7. Prolem3-Some More Useful Substitions in Integration
    7. Prolem3-Some More Useful Substitions in Integration
      885 views
      8. Prolem4-Some More Useful Substitions in Integration
    8. Prolem4-Some More Useful Substitions in Integration
      828 views
      9. Prolem5-Some More Useful Substitions in Integration
    9. Prolem5-Some More Useful Substitions in Integration
      890 views
      6.4: Integration By Parts (Practice Test)
      Integration by Parts
    1. Integration by Parts
      3611 views
      2. More on Integration by Parts
    2. More on Integration by Parts
      1852 views
      3. Problem1-Integration by Parts
    3. Problem1-Integration by Parts
      1727 views
      4. Problem2-Integration by Parts
    4. Problem2-Integration by Parts
      1187 views
      5. Problem2b-Integration by Parts
    5. Problem2b-Integration by Parts
      1000 views
      6. Integration by Parts of Trigonometric Functions
    6. Integration by Parts of Trigonometric Functions
      1432 views
      7. More on Integration by Parts of Trigonometric Functions
    7. More on Integration by Parts of Trigonometric Functions
      1028 views
      6.5: Integration Using Partial Fractions (Practice Test)
      Integrating Partial Fractions with Non-repeated Factors
    1. Integrating Partial Fractions with Non-repeated Factors
      1764 views
      2. Problem1-Integrating Partial Fractions with Non-repeated Factors
    2. Problem1-Integrating Partial Fractions with Non-repeated Factors
      1131 views
      3. Problem1a-Integrating Partial Fractions with Non-repeated Factors
    3. Problem1a-Integrating Partial Fractions with Non-repeated Factors
      796 views
      4. More on Integrating Partial Fractions with Non-repeated Factors
    4. More on Integrating Partial Fractions with Non-repeated Factors
      740 views
      5. Integrating Partial Fractions with repeated Linear Factors
    5. Integrating Partial Fractions with repeated Linear Factors
      763 views
      6. Problem-Integrating Partial Fractions with Non-repeated Linear Factors
    6. Problem-Integrating Partial Fractions with Non-repeated Linear Factors
      607 views
      7. Problem1a-Integrating Partial Fractions with Non-repeated Linear Factors
    7. Problem1a-Integrating Partial Fractions with Non-repeated Linear Factors
      592 views
      8. More on Integrating Partial Fractions with repeated Factors
    8. More on Integrating Partial Fractions with repeated Factors
      611 views
      9. Integrating Partial Fractions with Non-Repeated Quadratic Factors
    9. Integrating Partial Fractions with Non-Repeated Quadratic Factors
      924 views
      10. Problem1-Integrating Partial Fractions with Non-Repeated Quadratic Factors
    10. Problem1-Integrating Partial Fractions with Non-Repeated Quadratic Factors
      688 views
      11. Problem1a-Integrating Partial Fractions with Non-Repeated Quadratic Factors
    11. Problem1a-Integrating Partial Fractions with Non-Repeated Quadratic Factors
      595 views
      12. More on Integrating Partial Fractions with Non-Repeated Quadratic Factors
    12. More on Integrating Partial Fractions with Non-Repeated Quadratic Factors
      602 views
      13. Further to Integrating Partial Fractions with Non-Repeated Quadratic Factors
    13. Further to Integrating Partial Fractions with Non-Repeated Quadratic Factors
      655 views
      6.6: Definite Integrals (Practice Test)
      The Definite Integral
    1. The Definite Integral
      1871 views
      2. Problem1-The Definite Integral
    2. Problem1-The Definite Integral
      1431 views
      3. Problem2-The Definite Integral
    3. Problem2-The Definite Integral
      851 views
      4. Problem2a-The Definite Integral
    4. Problem2a-The Definite Integral
      735 views
      5. Area Under the Curve
    5. Area Under the Curve
      1057 views
      6. Problem1-Area Under the Curve
    6. Problem1-Area Under the Curve
      900 views
      7. Problem2-Area Under the Curve
    7. Problem2-Area Under the Curve
      585 views
      8. More on Area Under the Curve
    8. More on Area Under the Curve
      640 views
      9. Negative Area by Definite Integral
    9. Negative Area by Definite Integral
      643 views
      10. negative Area by Definite Integral
    10. negative Area by Definite Integral
      11. Symmetrical Area by Integration
    11. Symmetrical Area by Integration
      542 views
      12. Area Bounded by Two Curves by Integration
    12. Area Bounded by Two Curves by Integration
      563 views
      13. To Deal with Negative and Positive Areas in Integation
    13. To Deal with Negative and Positive Areas in Integation
      482 views
      14. Area Bounded by Two Curves Above and Below x-axis
    14. Area Bounded by Two Curves Above and Below x-axis
      564 views
      15. Application of Definite Integral
    15. Application of Definite Integral
      964 views
      16. More on Application of Definite Integral
    16. More on Application of Definite Integral
      551 views
      17. Problem1-Application of Definite Integral
    17. Problem1-Application of Definite Integral
      538 views
      18. Problem2-Application of Definite Integral
    18. Problem2-Application of Definite Integral
      437 views
      19. Problem2a-Application of Definite Integral
    19. Problem2a-Application of Definite Integral
      417 views
      20. Problem3-Application of Definite Integral
    20. Problem3-Application of Definite Integral
      435 views
      21. Problem3a-Application of Definite Integral
    21. Problem3a-Application of Definite Integral
      441 views
      22. Maple Command for Integration
    22. Maple Command for Integration

    Chapter 7 Plane Analytic Geometry - Straight Line (89 videos) (Practice Test) (Exercises Exercise Answers)

      7.1: Division of Line Segment (Practice Test)
      Cartesian Coordinate System & Cartesian Plane
    1. Cartesian Coordinate System & Cartesian Plane
      8577 views
      2. Derivation of Distance formula
    2. Derivation of Distance formula
      11702 views
      3. Use of Distance formula
    3. Use of Distance formula
      5389 views
      4. Problem1-Use of Distance formula
    4. Problem1-Use of Distance formula
      3710 views
      5. Points Dividing the Join of Two Points in Given Ratio
    5. Points Dividing the Join of Two Points in Given Ratio
      3635 views
      6. More on Points Dividing Join of Two Points in Given Ratio
    6. More on Points Dividing Join of Two Points in Given Ratio
      2090 views
      7. Problem1a-Points Dividing the Join of Two Points in Given Ratio
    7. Problem1a-Points Dividing the Join of Two Points in Given Ratio
      1691 views
      8. Problem1b-Points Dividing the Join of Two Points in Given Ratio
    8. Problem1b-Points Dividing the Join of Two Points in Given Ratio
      1471 views
      9. Theorem on Medians of a Triangle
    9. Theorem on Medians of a Triangle
      1912 views
      10. Problem-All Medians of Triangle Trisect Each Other
    10. Problem-All Medians of Triangle Trisect Each Other
      710 views
      11. Theorem on Angle Bisectors of a Triangle
    11. Theorem on Angle Bisectors of a Triangle
      3192 views
      12. Problem1-Angle Bisectors of Triangle are Concurrent
    12. Problem1-Angle Bisectors of Triangle are Concurrent
      808 views
      13. Problem1-Angle Bisectors of Triangle are Concurrent
    13. Problem1-Angle Bisectors of Triangle are Concurrent
      752 views
      7.2: Slope of a Straight Line (Practice Test)
      Inclination of Line
    1. Inclination of Line
      2614 views
      2. Problem1-Inclination of Line
    2. Problem1-Inclination of Line
      749 views
      3. Slope or Gradient of a Line
    3. Slope or Gradient of a Line
      2503 views
      4. Gradient of a Straight Line Joining Two Points
    4. Gradient of a Straight Line Joining Two Points
      1737 views
      5. Slope of Parallel Lines
    5. Slope of Parallel Lines
      911 views
      6. Problem1-Slope of Parallel Lines
    6. Problem1-Slope of Parallel Lines
      673 views
      7. Problem2-Slope of Parallel Lines
    7. Problem2-Slope of Parallel Lines
      535 views
      8. Perpendicular, Parallel lines
    8. Perpendicular, Parallel lines
      9. Problem-Perpendicular, Parallel lines
    9. Problem-Perpendicular, Parallel lines
      130 views
      7.3: Equation of a Straight Line Parallel to Co-ordinate Axes (Practice Test)
      Equations of a Straight Line
    1. Equations of a Straight Line
      1381 views
      2. More on Equations of Straight Line
    2. More on Equations of Straight Line
      890 views
      3. Problem1-Equations of a Straight Line
    3. Problem1-Equations of a Straight Line
      865 views
      7.4: Standard Form of Equation of a Straight Line (Practice Test)
      Derivation of Slope Intercept form
    1. Derivation of Slope Intercept form
      1258 views
      2. Problem1-Derivation of Slope Intercept form
    2. Problem1-Derivation of Slope Intercept form
      680 views
      3. Deriving Point-slope Form of Equation of Straight Line
    3. Deriving Point-slope Form of Equation of Straight Line
      982 views
      4. Problem1-Deriving Point-slope Form of Equation of Straight Line
    4. Problem1-Deriving Point-slope Form of Equation of Straight Line
      603 views
      5. Two Point form of Equation of Straight Line
    5. Two Point form of Equation of Straight Line
      835 views
      6. Problem1-Two Point form of Equation of Straight Line
    6. Problem1-Two Point form of Equation of Straight Line
      513 views
      7. Intercept Form of Equation of Straight Line
    7. Intercept Form of Equation of Straight Line
      795 views
      8. Problem1-Intercept Form of Equation of Straight Line
    8. Problem1-Intercept Form of Equation of Straight Line
      490 views
      9. Symmetric Form of Equation of Straight Line
    9. Symmetric Form of Equation of Straight Line
      2055 views
      10. Problem1-Symmetric Form of Equation of Straight Line
    10. Problem1-Symmetric Form of Equation of Straight Line
      755 views
      11. Normal Form of Equation of Straight Line
    11. Normal Form of Equation of Straight Line
      1522 views
      12. Problem1-Normal Form of Equation of Straight Line
    12. Problem1-Normal Form of Equation of Straight Line
      653 views
      13. How 2 Variabled Linear Equation Represent Straight Line
    13. How 2 Variabled Linear Equation Represent Straight Line
      1940 views
      14. Problem1-How 2 Variabled Linear Equation Represent Straight Line
    14. Problem1-How 2 Variabled Linear Equation Represent Straight Line
      947 views
      15. Transforming General Linear Equation to Standard Forms
    15. Transforming General Linear Equation to Standard Forms
      775 views
      16. Problem2-Transforming General Linear Equation to Standard Forms
    16. Problem2-Transforming General Linear Equation to Standard Forms
      348 views
      17. Transforming General Equation to Slope Intercept Form
    17. Transforming General Equation to Slope Intercept Form
      374 views
      18. Problem1-Transforming General Equation to Slope Intercept Form
    18. Problem1-Transforming General Equation to Slope Intercept Form
      296 views
      19. Transforming General Form of Equation to Point Slope Form
    19. Transforming General Form of Equation to Point Slope Form
      287 views
      20. Problem1-Transforming General Form of Equation to Point Slope Form
    20. Problem1-Transforming General Form of Equation to Point Slope Form
      254 views
      21. Transforming General Form of Equation to Intercept Form
    21. Transforming General Form of Equation to Intercept Form
      339 views
      22. Problem1-Transforming General Form of Equation to Intercept Form
    22. Problem1-Transforming General Form of Equation to Intercept Form
      274 views
      23. Transforming General Form of Equation to Symmetric Form
    23. Transforming General Form of Equation to Symmetric Form
      495 views
      24. Problem1-Transforming General Form of Equation to Symmetric Form
    24. Problem1-Transforming General Form of Equation to Symmetric Form
      309 views
      25. Transforming General Form of Equation to Normal Form
    25. Transforming General Form of Equation to Normal Form
      850 views
      26. Problem1-Transforming General Form of Equation to Normal Form
    26. Problem1-Transforming General Form of Equation to Normal Form
      374 views
      7.5: Distance of a Point From a Line (Practice Test)
      Position of Point with Respect to Line
    1. Position of Point with Respect to Line
      1736 views
      2. More on Position of Point with Respect to Line
    2. More on Position of Point with Respect to Line
      552 views
      3. Problem1-Position of Point with Respect to Line
    3. Problem1-Position of Point with Respect to Line
      614 views
      4. Distance of Point From Line
    4. Distance of Point From Line
      1039 views
      5. Problem1-Distance of Point From Line
    5. Problem1-Distance of Point From Line
      547 views
      6. Problem2-Distance of Point From Line
    6. Problem2-Distance of Point From Line
      778 views
      7. Problem1-Distance between Two Parallel Lines
    7. Problem1-Distance between Two Parallel Lines
      535 views
      7.6: Angle Between Lines (Practice Test)
      Angle Between Two Lines
    1. Angle Between Two Lines
      1455 views
      2. Problem1-Angle Between Two Lines
    2. Problem1-Angle Between Two Lines
      872 views
      3. Problem2-Angle Between Two Lines
    3. Problem2-Angle Between Two Lines
      716 views
      4. Equation of Lines Through Point of Intersecting 2 Lines
    4. Equation of Lines Through Point of Intersecting 2 Lines
      2408 views
      5. Problem1-Equation of Lines Through Point of Intersecting 2 Lines
    5. Problem1-Equation of Lines Through Point of Intersecting 2 Lines
      652 views
      6. Angles of a triangle using slope
    6. Angles of a triangle using slope
      7.7: Concurrency of Straight Lines (Practice Test)
      Condition of Concurrency of Three Straight Lines
    1. Condition of Concurrency of Three Straight Lines
      1193 views
      2. More on Condition of Concurrency of Three Straight Lines
    2. More on Condition of Concurrency of Three Straight Lines
      701 views
      3. Problem1-Condition of Concurrency of Three Straight Lines
    3. Problem1-Condition of Concurrency of Three Straight Lines
      619 views
      4. Equations of Median, Altitude and Right Bisectors
    4. Equations of Median, Altitude and Right Bisectors
      5. Condition that Altitudes of Triangle are Concurrent
    5. Condition that Altitudes of Triangle are Concurrent
      1198 views
      6. More on Condition that Altitudes of Triangle are Concurrent
    6. More on Condition that Altitudes of Triangle are Concurrent
      487 views
      7. Problem1-Condition that Altitudes of Triangle are Concurrent
    7. Problem1-Condition that Altitudes of Triangle are Concurrent
      417 views
      8. Condition that Right Bisectors of Triangle are Concurrent
    8. Condition that Right Bisectors of Triangle are Concurrent
      616 views
      9. More on Condition that Right Bisectors of Triangle Concurrent
    9. More on Condition that Right Bisectors of Triangle Concurrent
      359 views
      10. Problem1-Condition that Right Bisectors of Triangle are Concurrent
    10. Problem1-Condition that Right Bisectors of Triangle are Concurrent
      358 views
      7.8: Area of a Triangular Region (Practice Test)
      Area of Triangular Region With Given Vertices
    1. Area of Triangular Region With Given Vertices
      975 views
      2. More on Area of Triangular Region With Given Vertices
    2. More on Area of Triangular Region With Given Vertices
      548 views
      3. Problem1-Area of Triangular Region With Given Vertices
    3. Problem1-Area of Triangular Region With Given Vertices
      476 views
      7.9: Homogeneous Equation (Practice Test)
      Homogeneous Equation of Second Degree in Two Variables
    1. Homogeneous Equation of Second Degree in Two Variables
      1507 views
      2. More on Homogeneous Equation of 2nd Degree in 2 Variables
    2. More on Homogeneous Equation of 2nd Degree in 2 Variables
      946 views
      3. Acute Angle Between Two Lines Which Forms a 2nd Degree Homogeneous Equation
    3. Acute Angle Between Two Lines Which Forms a 2nd Degree Homogeneous Equation
      4. Homogeneous Equation of Degree 'n'
    4. Homogeneous Equation of Degree 'n'
      984 views
      5. More on Homogeneous Equation of Degree 'n'
    5. More on Homogeneous Equation of Degree 'n'
      574 views
      6. Problem1-Homogeneous Equation of Degree 'n'
    6. Problem1-Homogeneous Equation of Degree 'n'
      568 views
      7. Problem2-Homogeneous Equation of Degree 'n'
    7. Problem2-Homogeneous Equation of Degree 'n'
      440 views
      8. Problem2-More on Homogeneous Equation of Degree 'n'
    8. Problem2-More on Homogeneous Equation of Degree 'n'
      432 views
      9. Problem3-Homogeneous Equation of Degree 'n'
    9. Problem3-Homogeneous Equation of Degree 'n'
      469 views
      10. Angle Between Two Lines
    10. Angle Between Two Lines
      1455 views
      11. Problem1-Angle Between Two Lines
    11. Problem1-Angle Between Two Lines
      872 views
      12. Problem2-Angle Between Two Lines
    12. Problem2-Angle Between Two Lines
      716 views

    Chapter 8 Conics-I (36 videos) (Practice Test) (Exercises Exercise Answers)

      8.1: Introduction (Practice Test)
      Introduction to Conic Section
    1. Introduction to Conic Section
      7473 views
      2. More on Introduction to Conic Section
    2. More on Introduction to Conic Section
      3999 views
      8.2: Circle (Practice Test)
      Standard Form of Equation of Circle
    1. Standard Form of Equation of Circle
      4317 views
      2. General Form of Equation of Circle
    2. General Form of Equation of Circle
      5516 views
      3. More on General Form of Equation of Circle
    3. More on General Form of Equation of Circle
      2846 views
      4. Equation of Circle Passing Though Three Non-Collinear Points
    4. Equation of Circle Passing Though Three Non-Collinear Points
      2102 views
      5. More on Equation of Circle Passing Through 3 Non-Collinear Points
    5. More on Equation of Circle Passing Through 3 Non-Collinear Points
      1460 views
      6. Equation of Circle Passing Through 2 Points and its Centre on Line
    6. Equation of Circle Passing Through 2 Points and its Centre on Line
      2842 views
      7. Equation-Circle Passing Though 2 Points with 1 Tangential Point
    7. Equation-Circle Passing Though 2 Points with 1 Tangential Point
      2326 views
      8. Equation-Circle Passing Though 2 Points with 1 Tangential Point-1
    8. Equation-Circle Passing Though 2 Points with 1 Tangential Point-1
      1626 views
      9. Equation-Circle Passing Through 2 Points and Line
    9. Equation-Circle Passing Through 2 Points and Line
      2456 views
      10. Equation-Circle Passing Through 2 Points and Line
    10. Equation-Circle Passing Through 2 Points and Line
      1897 views
      8.3: Tangents and Normals (Practice Test)
      Equation of Tangent to Circle
    1. Equation of Tangent to Circle
      4675 views
      2. More on Equation of Tangent to Circle
    2. More on Equation of Tangent to Circle
      2047 views
      3. Problem1- Equation of Tangent to Circle
    3. Problem1- Equation of Tangent to Circle
      1691 views
      4. Problem2a-Equation of Tangent to Circle
    4. Problem2a-Equation of Tangent to Circle
      1112 views
      5. Problem2b-Equation of Tangent to Circle
    5. Problem2b-Equation of Tangent to Circle
      935 views
      6. Equation of Normal to Circle
    6. Equation of Normal to Circle
      1823 views
      7. Line Intersects Circle at Most 2 Points
    7. Line Intersects Circle at Most 2 Points
      1094 views
      8. Condition that Line may be Tangent to Circle
    8. Condition that Line may be Tangent to Circle
      1591 views
      9. Proof-2 Tangents can be Drawn to Circle from Point
    9. Proof-2 Tangents can be Drawn to Circle from Point
      1036 views
      10. More on Proof-2 Tangents can be Drawn to Circle from Point
    10. More on Proof-2 Tangents can be Drawn to Circle from Point
      780 views
      11. Length of Tangent to Circle
    11. Length of Tangent to Circle
      2201 views
      12. To Prove Circles Diameter is 2 Times its Radius
    12. To Prove Circles Diameter is 2 Times its Radius
      773 views
      8.4: Properties of Circle (Practice Test)
      Chords Perpendicular Passes Centre of Circle
    1. Chords Perpendicular Passes Centre of Circle
      905 views
      2. More on Chords Perpendicular Passes Centre of Circle
    2. More on Chords Perpendicular Passes Centre of Circle
      695 views
      3. Line From Centre and Midpoint of Chord is Perp to it
    3. Line From Centre and Midpoint of Chord is Perp to it
      552 views
      4. More on Line From Centre and Midpoint of Chord is Perp to it
    4. More on Line From Centre and Midpoint of Chord is Perp to it
      451 views
      5. Congruent Chords are Equidistance from Centre of Circle
    5. Congruent Chords are Equidistance from Centre of Circle
      580 views
      6. More on Congruent Chords are Equidistance from Centre of Circle
    6. More on Congruent Chords are Equidistance from Centre of Circle
      467 views
      7. Theorem on Circle Angle of Minor Arc
    7. Theorem on Circle Angle of Minor Arc
      3939 views
      8. Angle in Semi-Circle is Right Angle
    8. Angle in Semi-Circle is Right Angle
      723 views
      9. More on Angle in Semi-Circle is Right Angle
    9. More on Angle in Semi-Circle is Right Angle
      490 views
      10. Perpendicular Radial Segment is Tangent to Circle
    10. Perpendicular Radial Segment is Tangent to Circle
      747 views
      11. More on Perpendicular Radial Segment is Tangent to Circle
    11. More on Perpendicular Radial Segment is Tangent to Circle
      463 views
      12. Tangent to Circle is Perpendicular to Radial Segment
    12. Tangent to Circle is Perpendicular to Radial Segment
      538 views

    Chapter 9 Conics-II (106 videos) (Practice Test) (Exercises Exercise Answers)

      9.1: Parabola (Practice Test)
      Introduction to Parabola
    1. Introduction to Parabola
      4709 views
      2. More on Introduction to Parabola
    2. More on Introduction to Parabola
      2502 views
      3. Terms Related to Parabola
    3. Terms Related to Parabola
      2339 views
      4. General Form of Equation of Parabola
    4. General Form of Equation of Parabola
      2789 views
      5. Other Standard Parabola
    5. Other Standard Parabola
      1311 views
      6. Graph of Parabola Facing Upward
    6. Graph of Parabola Facing Upward
      1179 views
      7. Graph of Parabola Facing Downward
    7. Graph of Parabola Facing Downward
      1064 views
      8. Graph of Parabola Facing Rightward
    8. Graph of Parabola Facing Rightward
      601 views
      9. Graph of Parabola Facing Leftward
    9. Graph of Parabola Facing Leftward
      570 views
      10. Problem Related with Parabola
    10. Problem Related with Parabola
      1328 views
      11. Parabola with Vertex not at Origin
    11. Parabola with Vertex not at Origin
      1822 views
      12. More on Parabola with Vertex not at Origin
    12. More on Parabola with Vertex not at Origin
      881 views
      13. Problem-Parabola with Vertex not at Origin
    13. Problem-Parabola with Vertex not at Origin
      879 views
      14. Graphing Parabola with Vertex not at Origin
    14. Graphing Parabola with Vertex not at Origin
      886 views
      15. More on Graphing Parabola with Vertex not at Origin
    15. More on Graphing Parabola with Vertex not at Origin
      580 views
      16. Finding Equation of Parabola with Focus and Vertex
    16. Finding Equation of Parabola with Focus and Vertex
      1498 views
      17. Finding Equation of Parabola with Directrix and Vertex
    17. Finding Equation of Parabola with Directrix and Vertex
      1108 views
      18. Problem1-Finding Equation of Parabola with Focus and Vertex
    18. Problem1-Finding Equation of Parabola with Focus and Vertex
      966 views
      19. Problem2-Finding Equation of Parabola with Vertex and Directrix
    19. Problem2-Finding Equation of Parabola with Vertex and Directrix
      576 views
      20. Problem3-Finding Equation of Parabola with Focus and Directrix
    20. Problem3-Finding Equation of Parabola with Focus and Directrix
      608 views
      21. Intersection of Line and Parabola
    21. Intersection of Line and Parabola
      1171 views
      22. More on Intersection of Line and Parabola
    22. More on Intersection of Line and Parabola
      505 views
      23. Equation of Tangent Line to Parabola in Slope Form
    23. Equation of Tangent Line to Parabola in Slope Form
      755 views
      24. Equation of Tangent Line to Parabola at Given Point
    24. Equation of Tangent Line to Parabola at Given Point
      2522 views
      25. More on Equation of Tangent Line to Parabola at Given Point
    25. More on Equation of Tangent Line to Parabola at Given Point
      232 views
      26. Problem-Equation of Tangent Line to Parabola at Given Point
    26. Problem-Equation of Tangent Line to Parabola at Given Point
      750 views
      27. Equation of Normal Line to Parabola at Given Point
    27. Equation of Normal Line to Parabola at Given Point
      914 views
      28. Problem1-Equation of Normal Line to Parabola at Given Point
    28. Problem1-Equation of Normal Line to Parabola at Given Point
      453 views
      29. Application of Parabola-Suspension Related Problem
    29. Application of Parabola-Suspension Related Problem
      442 views
      30. Reflecting Property of Parabola
    30. Reflecting Property of Parabola
      891 views
      31. Use of Parabola on Everyday Life-Problem
    31. Use of Parabola on Everyday Life-Problem
      453 views
      9.2: Ellipse (Practice Test)
      Obtaining Standard Equation of Ellipse
    1. Obtaining Standard Equation of Ellipse
      2481 views
      2. More on Obtaining Standard Equation of Ellipse-1
    2. More on Obtaining Standard Equation of Ellipse-1
      1573 views
      3. More on Obtaining Standard Equation of Ellipse-2
    3. More on Obtaining Standard Equation of Ellipse-2
      1104 views
      4. More on Obtaining Standard Equation of Ellipse-3
    4. More on Obtaining Standard Equation of Ellipse-3
      853 views
      5. Circle as Special Case of Ellipse
    5. Circle as Special Case of Ellipse
      935 views
      6. Basic Terms Associated with Ellipse
    6. Basic Terms Associated with Ellipse
      970 views
      7. More on Basic Terms Associated with Ellipse
    7. More on Basic Terms Associated with Ellipse
      577 views
      8. Standard Form of Vertical and Horizontal Ellipses
    8. Standard Form of Vertical and Horizontal Ellipses
      826 views
      9. Problem1-Standard Form of Vertical and Horizontal Ellipses
    9. Problem1-Standard Form of Vertical and Horizontal Ellipses
      577 views
      10. Translation of Horizontal Ellipse
    10. Translation of Horizontal Ellipse
      719 views
      11. Translation of Vertical Ellipse
    11. Translation of Vertical Ellipse
      482 views
      12. More on Translation of Vertical Ellipse
    12. More on Translation of Vertical Ellipse
      373 views
      13. Equation of Ellipse with Foci and Vertices
    13. Equation of Ellipse with Foci and Vertices
      578 views
      14. Problem1-Equation of Ellipse with Foci and Vertices
    14. Problem1-Equation of Ellipse with Foci and Vertices
      600 views
      15. Problem3-Equation of Ellipse with Foci and Vertices
    15. Problem3-Equation of Ellipse with Foci and Vertices
      491 views
      16. Ellipse Equation with Centre and Length of Axes
    16. Ellipse Equation with Centre and Length of Axes
      471 views
      17. Ellipse Equation with Centre and Given Point
    17. Ellipse Equation with Centre and Given Point
      460 views
      18. More on Ellipse Equation with Centre and Given Point
    18. More on Ellipse Equation with Centre and Given Point
      388 views
      19. Ellipse Equation with Vertices and Eccentricity
    19. Ellipse Equation with Vertices and Eccentricity
      228 views
      20. Ellipse Equation with Vertices & Length of Semi-minor Axis
    20. Ellipse Equation with Vertices & Length of Semi-minor Axis
      233 views
      21. Points of Intersection of Line and Ellipse
    21. Points of Intersection of Line and Ellipse
      845 views
      22. More on Points of Intersection of Line and Ellipse
    22. More on Points of Intersection of Line and Ellipse
      403 views
      23. Condition of Tangency of Line to Ellipse
    23. Condition of Tangency of Line to Ellipse
      1006 views
      24. Equation of Tangent to Ellipse at Point
    24. Equation of Tangent to Ellipse at Point
      1090 views
      25. More on Equation of Tangent to Ellipse at Point
    25. More on Equation of Tangent to Ellipse at Point
      378 views
      26. Equation of Normal to Ellipse at Point
    26. Equation of Normal to Ellipse at Point
      866 views
      27. More on Equation of Normal to Ellipse at Point
    27. More on Equation of Normal to Ellipse at Point
      589 views
      28. Problem1a-Equation of Normal to Ellipse at Point
    28. Problem1a-Equation of Normal to Ellipse at Point
      349 views
      29. Problem1b-Equation of Normal to Ellipse at Point
    29. Problem1b-Equation of Normal to Ellipse at Point
      295 views
      30. Graph of Ellipse
    30. Graph of Ellipse
      290 views
      31. More on Graph of Ellipse
    31. More on Graph of Ellipse
      233 views
      9.3: Hyperbola (Practice Test)
      Defining Hyperbola
    1. Defining Hyperbola
      1381 views
      2. Standard Form of Equation of Hyperbola
    2. Standard Form of Equation of Hyperbola
      3123 views
      3. More on Standard Form of Equation of Hyperbola
    3. More on Standard Form of Equation of Hyperbola
      806 views
      4. More on Standard Form of Equation of Hyperbola
    4. More on Standard Form of Equation of Hyperbola
      694 views
      5. Asymptotes of Hyperbola
    5. Asymptotes of Hyperbola
      1921 views
      6. Foci of Hyperbola
    6. Foci of Hyperbola
      596 views
      7. More on Foci of Hyperbola
    7. More on Foci of Hyperbola
      411 views
      8. Problem1-Foci of Hyperbola
    8. Problem1-Foci of Hyperbola
      424 views
      9. Horizontal Hyperbola
    9. Horizontal Hyperbola
      449 views
      10. More on Horizontal Hyperbola
    10. More on Horizontal Hyperbola
      473 views
      11. Rectangular Hyperbola
    11. Rectangular Hyperbola
      1699 views
      12. Graphing Hyperbola
    12. Graphing Hyperbola
      396 views
      13. More on Graphing Hyperbola
    13. More on Graphing Hyperbola
      310 views
      14. Problem1-Graphing Hyperbola
    14. Problem1-Graphing Hyperbola
      307 views
      15. More on Problem1-Graphing Hyperbola
    15. More on Problem1-Graphing Hyperbola
      288 views
      16. Hyperbola with Focus and Eccentricity
    16. Hyperbola with Focus and Eccentricity
      483 views
      17. Graphing Hyperbola with Eccentricity and Latus Rectum
    17. Graphing Hyperbola with Eccentricity and Latus Rectum
      743 views
      18. Graphing Hyperbola with Focus and Directrix
    18. Graphing Hyperbola with Focus and Directrix
      470 views
      19. Point of Intersection of Line with Hyperbola
    19. Point of Intersection of Line with Hyperbola
      729 views
      20. Condition of Tangency of Line to Hyperbola
    20. Condition of Tangency of Line to Hyperbola
      532 views
      21. Problem- Condition of Tangency of Line to Hyperbola
    21. Problem- Condition of Tangency of Line to Hyperbola
      398 views
      22. Equation of Tangent Line to Hyperbola at Point
    22. Equation of Tangent Line to Hyperbola at Point
      1289 views
      23. More on Equation of Tangent Line to Hyperbola at Point
    23. More on Equation of Tangent Line to Hyperbola at Point
      556 views
      24. Problem- Equation of Tangent Line to Hyperbola at Point
    24. Problem- Equation of Tangent Line to Hyperbola at Point
      604 views
      25. Equation of Normal Line to Hyperbola at Point
    25. Equation of Normal Line to Hyperbola at Point
      734 views
      26. More on Equation of Normal Line to Hyperbola at Point
    26. More on Equation of Normal Line to Hyperbola at Point
      263 views
      27. Translation of Hyperbola with Horizontally
    27. Translation of Hyperbola with Horizontally
      360 views
      28. More on Translation of Hyperbola with Horizontally
    28. More on Translation of Hyperbola with Horizontally
      269 views
      29. Translation of Vertical Hyperbola
    29. Translation of Vertical Hyperbola
      332 views
      30. More on Translation of Vertical Hyperbola
    30. More on Translation of Vertical Hyperbola
      131 views
      9.4: Translation and Rotation of Axes (Practice Test)
      Translation of Axes
    1. Translation of Axes
      4016 views
      2. Problem1-Translation of Axes
    2. Problem1-Translation of Axes
      898 views
      3. Problem2-Translation of Axes
    3. Problem2-Translation of Axes
      281 views
      4. Translation of Axes
    4. Translation of Axes
      1826 views
      5. Problem1-Translation of Axes
    5. Problem1-Translation of Axes
      629 views
      6. Problem2-Translation of Axes
    6. Problem2-Translation of Axes
      479 views
      7. Rotation of Axes
    7. Rotation of Axes
      4128 views
      8. Problem1-Rotation of Axes
    8. Problem1-Rotation of Axes
      471 views
      9. More on Rotation of Axes
    9. More on Rotation of Axes
      272 views
      10. Rotation of Axes
    10. Rotation of Axes
      1666 views
      11. Problem1-Rotation of Axes
    11. Problem1-Rotation of Axes
      502 views
      12. Problem2-Rotation of Axes
    12. Problem2-Rotation of Axes
      408 views
      13. Reflections
    13. Reflections
      14. Problem-Reflections
    14. Problem-Reflections
      19 views

    Chapter 10 Differential Equations (20 videos) (Practice Test) (Exercises Exercise Answers)

      10.1: Introduction (Practice Test)
      Introduction to Differential Equation
    1. Introduction to Differential Equation
      1591 views
      2. More on Introduction to Differential Equation
    2. More on Introduction to Differential Equation
      871 views
      3. Degree and Order of Differential Equation
    3. Degree and Order of Differential Equation
      493 views
      4. Classification of Differential Equation
    4. Classification of Differential Equation
      1499 views
      5. More on Classification of Differnetial Equation
    5. More on Classification of Differnetial Equation
      722 views
      10.2: Formation of Differential Equations (Practice Test)
      Formation of Differential Equation
    1. Formation of Differential Equation
      518 views
      10.3: Solution of Differential Equation (Practice Test)
      Solving First Order Differential Equation
    1. Solving First Order Differential Equation
      985 views
      2. More on Solving First Order Differential Equation
    2. More on Solving First Order Differential Equation
      648 views
      3. Problem1-Solving First Order Differential Equation
    3. Problem1-Solving First Order Differential Equation
      676 views
      4. Problem2-Solving First Order Differential Equation
    4. Problem2-Solving First Order Differential Equation
      514 views
      5. Solving First Order Differential Equation by Initial Conditions
    5. Solving First Order Differential Equation by Initial Conditions
      525 views
      6. P1-Solving First Order Differential Equation by Initial Conditions
    6. P1-Solving First Order Differential Equation by Initial Conditions
      510 views
      7. P2-Solving First Order Differential Equation by Initial Conditions
    7. P2-Solving First Order Differential Equation by Initial Conditions
      410 views
      8. P3-Solving First Order Differential Equation by Initial Conditions
    8. P3-Solving First Order Differential Equation by Initial Conditions
      413 views
      9. Homogeneous Differential Equation
    9. Homogeneous Differential Equation
      712 views
      10. Differential Equation Reducible to Homogeneous Differential Equation
    10. Differential Equation Reducible to Homogeneous Differential Equation
      815 views
      11. Application of Differential Equations
    11. Application of Differential Equations
      596 views
      12. More on Application of Differential Equations
    12. More on Application of Differential Equations
      409 views
      10.4: Orthogonal Trajectories (Practice Test)
      Differential Equation of Orthogonal Trajectories
    1. Differential Equation of Orthogonal Trajectories
      1440 views
      2. More on Differential Equation of Orthogonal Trajectories
    2. More on Differential Equation of Orthogonal Trajectories
      641 views

    Chapter 11 Partial Differentiation (9 videos) (Practice Test)

      11.1: Differentiation of Function of Two Variables (Practice Test)
      Introducing Partial Differentiation
    1. Introducing Partial Differentiation
      720 views
      2. More on Introducing Partial Differentiation
    2. More on Introducing Partial Differentiation
      389 views
      3. Problem-Partial Differentiation
    3. Problem-Partial Differentiation
      379 views
      11.2: Euler's Theorem (Practice Test)
      Euler'sTheorem
    1. Euler'sTheorem
      448 views
      2. Homogeneous Functions
    2. Homogeneous Functions
      827 views
      3. Showing Given Function is Homogeneous
    3. Showing Given Function is Homogeneous
      303 views
      4. Verifiction of Eulers Theorem
    4. Verifiction of Eulers Theorem
      327 views
      5. Problem- Eulers Theorem
    5. Problem- Eulers Theorem
      361 views
      6. Maple Command for Partial Differentiation
    6. Maple Command for Partial Differentiation

    Chapter 12 Introduction to Numerical Methods (24 videos) (Practice Test) (Exercises Exercise Answers)

      12.1: Numerical Solution of Non-Linear Equations (Practice Test)
      Calculating Roots of Non-Linear Equation By Bisection Method
    1. Calculating Roots of Non-Linear Equation By Bisection Method
      741 views
      2. More on Calculating Roots of Non-Linear Equation By Bisection Method
    2. More on Calculating Roots of Non-Linear Equation By Bisection Method
      461 views
      3. Problem-Calculating Roots by Bisection Method
    3. Problem-Calculating Roots by Bisection Method
      364 views
      4. Calculating Roots of Non-Linear Equation By Regula-Falsi Method
    4. Calculating Roots of Non-Linear Equation By Regula-Falsi Method
      538 views
      5. More on Calculating Roots By Regula-Falsi Method
    5. More on Calculating Roots By Regula-Falsi Method
      421 views
      6. Calculating Roots of Non-Linear Equation by Newton-Raphson Method
    6. Calculating Roots of Non-Linear Equation by Newton-Raphson Method
      618 views
      7. More on Calculating Roots by Newton-Raphson Method
    7. More on Calculating Roots by Newton-Raphson Method
      281 views
      8. Problem1-Calculating Roots by Newton-Raphson Method
    8. Problem1-Calculating Roots by Newton-Raphson Method
      226 views
      9. Problem2-Calculating Roots by Newton-Raphson Method
    9. Problem2-Calculating Roots by Newton-Raphson Method
      177 views
      10. Problem3-Calculating Roots by Newton-Raphson Method
    10. Problem3-Calculating Roots by Newton-Raphson Method
      182 views
      12.2: Numerical Quadrature (Practice Test)
      Defining Numerical Quadrature
    1. Defining Numerical Quadrature
      589 views
      2. Approximating Area by Rectangles
    2. Approximating Area by Rectangles
      235 views
      3. Approximating Area by Trapezoidal Rule
    3. Approximating Area by Trapezoidal Rule
      244 views
      4. More on Approximating Area by Trapezoidal Rule
    4. More on Approximating Area by Trapezoidal Rule
      226 views
      5. Problem-Approximating Area by Trapezoidal Rule
    5. Problem-Approximating Area by Trapezoidal Rule
      6. More on Problem-Approximating Area by Trapezoidal Rule                
    6. More on Problem-Approximating Area by Trapezoidal Rule                
      7. Simpson’s Rule for Approximating Integral
    7. Simpson’s Rule for Approximating Integral
      324 views
      8. More on Simpson’s Rule for Approximating Integral
    8. More on Simpson’s Rule for Approximating Integral
      259 views
      9. 2-More on Simpson’s Rule for Approximating Integral             
    9. 2-More on Simpson’s Rule for Approximating Integral             
      212 views
      10. Problem1-Simpson’s Rule for Approximating Integral
    10. Problem1-Simpson’s Rule for Approximating Integral
      11. More on Problem1-Simpson’s Rule for Approximating Integral  
    11. More on Problem1-Simpson’s Rule for Approximating Integral  
      12. Problem2-Simpson’s Rule for Approximating Integral
    12. Problem2-Simpson’s Rule for Approximating Integral
      13. More on Problem2-Simpson’s Rule for Approximating Integral   
    13. More on Problem2-Simpson’s Rule for Approximating Integral   
      14. Maple Command for Numerical Quadrature
    14. Maple Command for Numerical Quadrature