Calculus

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    Chapter 5 Calculus (109 videos) (Practice Test)

      5.1: Informal ideas of limit and convergence. (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
      5.2: Limit notation. (Practice Test)
      Concept of a Limit of a Function
    1. Concept of a Limit of a Function
      4475 views
      2. Problem-Concept of Limit of a Function
    2. Problem-Concept of Limit of a Function
      2035 views
      5.3: Definition of derivative from first principles (Practice Test)
      Derivative by First Principle
    1. Derivative by First Principle
      6497 views
      2. More on Derivative by First Principle
    2. More on Derivative by First Principle
      2915 views
      3. Problem1-Derivative by First Principle
    3. Problem1-Derivative by First Principle
      3768 views
      4. Problem2-Derivative by First Principle
    4. Problem2-Derivative by First Principle
      2709 views
      5.4: Derivative as gradient function and as rate of change. (Practice Test)
      Average Rate of Change
    1. Average Rate of Change
      5517 views
      2. Derivative of a Function
    2. Derivative of a Function
      10366 views
      3. More on Derivative of a Function
    3. More on Derivative of a Function
      5075 views
      4. Notation for Derivative
    4. Notation for Derivative
      3686 views
      5. Geometrical Interpretation of a Derivative
    5. Geometrical Interpretation of a Derivative
      5746 views
      6. More on Geometrical Interpretation of Derivative
    6. More on Geometrical Interpretation of Derivative
      2818 views
      5.5: Derivative of x^n (Practice Test)
      Power Rule for Differentiation
    1. Power Rule for Differentiation
      2573 views
      2. More on Power Rule for Differentiation
    2. More on Power Rule for Differentiation
      1523 views
      3. Problem-Power Rule for Differentiation
    3. Problem-Power Rule for Differentiation
      1972 views
      4. Problem1-Power Rule for Differentiation
    4. Problem1-Power Rule for Differentiation
      1653 views
      5. Derivative of Trigonometric Functions
    5. Derivative of Trigonometric Functions
      2286 views
      6. More on Derivative of Trigonometric Functions
    6. More on Derivative of Trigonometric Functions
      1413 views
      7. More stuff on Derivative of Trigonometric Functions
    7. More stuff on Derivative of Trigonometric Functions
      1087 views
      8. Problem1-Derivative of Trigonometric Functions
    8. Problem1-Derivative of Trigonometric Functions
      1464 views
      9. Problem2-Derivative of Trigonometric Functions
    9. Problem2-Derivative of Trigonometric Functions
      930 views
      10. Problem3-Derivative of Trigonometric Functions
    10. Problem3-Derivative of Trigonometric Functions
      903 views
      11. Derivative of Exponential Functions
    11. Derivative of Exponential Functions
      1722 views
      12. Problem1-Derivative of Exponential Functions
    12. Problem1-Derivative of Exponential Functions
      1166 views
      13. Derivative of Logarithmic Functions
    13. Derivative of Logarithmic Functions
      1501 views
      14. Problem1-Derivative of Logarithmic Functions
    14. Problem1-Derivative of Logarithmic Functions
      1007 views
      15. Problem2-Derivative of Logarithmic Functions
    15. Problem2-Derivative of Logarithmic Functions
      16. Problem3-Derivative of Logarithmic Functions
    16. Problem3-Derivative of Logarithmic Functions
      17. Problem Solving-Logarithmic Functions
    17. Problem Solving-Logarithmic Functions
      1011 views
      18. Derivative of a sum or Difference of Functions
    18. Derivative of a sum or Difference of Functions
      1646 views
      19. Problem1-Derivative of a sum or Difference of Functions
    19. Problem1-Derivative of a sum or Difference of Functions
      1408 views
      5.6: The chain rule for composite functions. (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. Problem2b-Differentiation by Chain Rule
    5. Problem2b-Differentiation by Chain Rule
      5.7: The product and quotient rules. (Practice Test)
      Derivative of Product
    1. Derivative of Product
      1589 views
      2. Problem1-Derivative of Product
    2. Problem1-Derivative of Product
      1458 views
      3. Derivative of a Quotient
    3. Derivative of a Quotient
      1529 views
      4. More on Derivative of a Quotient
    4. More on Derivative of a Quotient
      1153 views
      5. Problem1b-Derivative of Quotient
    5. Problem1b-Derivative of Quotient
      1210 views
      5.8: Extension to higher 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
      5.9: Local maximum and minimum points (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
      5.10: Testing for maximum or minimum. (Practice Test)
      Second Derivative Test and Concavity
    1. Second Derivative Test and Concavity
      990 views
      2. More on Second Derivative Test and Concavity
    2. More on Second Derivative Test and Concavity
      719 views
      3. Problem Solving-Second Derivative Test and Concavity
    3. Problem Solving-Second Derivative Test and Concavity
      736 views
      4. Problem1a-Second Derivative and Its Applications
    4. Problem1a-Second Derivative and Its Applications
      834 views
      5. Problem1b-Second Derivative and Its Applications
    5. Problem1b-Second Derivative and Its Applications
      6. Problem2a-Second Derivative and Its Applications
    6. Problem2a-Second Derivative and Its Applications
      631 views
      7. Problem2b-Second Derivative and Its Applications
    7. Problem2b-Second Derivative and Its Applications
      8. Problem3a-Second Derivative and Its Applications
    8. Problem3a-Second Derivative and Its Applications
      628 views
      9. Problem3b-Second Derivative and Its Applications
    9. Problem3b-Second Derivative and Its Applications
      10. Point of Inflexion
    10. Point of Inflexion
      1364 views
      5.11: Applications (Practice Test)
      Differential-Application to Economics
    1. Differential-Application to Economics
      2. Differential-Application to Kinematics
    2. Differential-Application to Kinematics
      681 views
      3. Point on the Curve Closest to Given Point
    3. Point on the Curve Closest to Given Point
      1009 views
      4. More on Point on the Curve Closest to Given Point
    4. More on Point on the Curve Closest to Given Point
      5.12: Indefinite integration (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
      5.13: Indefinite integral of x^n (Practice Test)
      To Integrate x Raise to Power n
    1. To Integrate x Raise to Power n
      2955 views
      2. Problem1-To Integrate x Raise to Power n
    2. Problem1-To Integrate x Raise to Power n
      1439 views
      3. Theorems on Anti-derivative
    3. Theorems on Anti-derivative
      3295 views
      5.14: 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
      10. Integration by Completing Square
    10. Integration by Completing Square
      1186 views
      11. More on Integration by Completing Square
    11. More on Integration by Completing Square
      550 views
      5.15: Boundary Value Problem (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
      5.16: Areas under curves (Practice Test)
      Area Under the Curve
    1. Area Under the Curve
      1057 views
      2. Problem1-Area Under the Curve
    2. Problem1-Area Under the Curve
      900 views
      3. Problem2-Area Under the Curve
    3. Problem2-Area Under the Curve
      585 views
      4. More on Area Under the Curve
    4. More on Area Under the Curve
      640 views
      5. Negative Area by Definite Integral
    5. Negative Area by Definite Integral
      643 views
      6. Symmetrical Area by Integration
    6. Symmetrical Area by Integration
      542 views
      7. Area Bounded by Two Curves by Integration
    7. Area Bounded by Two Curves by Integration
      563 views
      8. To Deal with Negative and Positive Areas in Integation
    8. To Deal with Negative and Positive Areas in Integation
      482 views
      9. Area Bounded by Two Curves Above and Below x-axis
    9. Area Bounded by Two Curves Above and Below x-axis
      564 views
      5.17: Areas between curves (Practice Test)
      Application of Definite Integral
    1. Application of Definite Integral
      964 views
      2. More on Application of Definite Integral
    2. More on Application of Definite Integral
      551 views
      3. Problem1-Application of Definite Integral
    3. Problem1-Application of Definite Integral
      538 views
      4. Problem2-Application of Definite Integral
    4. Problem2-Application of Definite Integral
      437 views
      5. Problem2a-Application of Definite Integral
    5. Problem2a-Application of Definite Integral
      417 views
      6. Problem3-Application of Definite Integral
    6. Problem3-Application of Definite Integral
      435 views
      7. Problem3a-Application of Definite Integral
    7. Problem3a-Application of Definite Integral
      441 views