Functions and Limits

Select a chapter above and press 'Show Content'. Click a video topic below to view.

    Chapter 2 Functions and Limits ( 63 videos)  (Practice Test)

      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
      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 and Discontinuity of a Function at a Point in an Interval
    6. Problem-Test Continuity and 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