Functions and Limits

Balochistan Board > Class 12 > Math (Total Videos: 567)

Show Content

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)
  1. Introduction to Function
  2. More on Introduction to Functions
  3. Domain & Range of Binary Relation
  4. Graphs of Algebraic Functions
  5. Graph of Functions Defined Piece-wise
2.2: Composition of Functions
  1. Composition of a Functions
  2. Problem-Composition of Functions
2.3: Inverse of Composition of Functions  (Practice Test)
  1. Inverse of Composition of Functions
  2. Problem-Inverse of Composition of Functions
2.4: Trascendental Functions  (Practice Test)
  1. Algebraic Functions
  2. Operations on Residue Classes Modulo n
  3. Trigonometric Functions
  4. Introduction to Binary Operations
  5. More on Inverse Trigonometric Functions
  6. Further to Inverse Trignometric Functions
  7. Properties of Binary Operations
  8. More on Logarithmic Functions
  9. Hyperbolic Functions
  10. Problem-Hyperbolic Functions
  11. Explicit and Implicit Functions
  12. Parametric Functions
  13. Problem-Parametric Functions
2.5: Graphical Representations  (Practice Test)
  1. Graph of the Exponential Function
  2. Problem1-Graph of the Exponential Function
  3. More on Graph of Exponential Function
  4. Problem1-More on Graph of Exponential Function
  5. Graph of Common Logarithmic Function
  6. Problem1-Graph of Common Logarithmic Function
  7. Graph of Natural Logarithmic Function
  8. Problem1-Graph of Natural Logarithmic Function
  9. Graphs of Implicit Functions-Circle
  10. Problem1-Graphs of Implicit Functions-Circle
  11. Graphs of Implicit Functions-Ellipse
  12. Graph of Parametric Equations
  13. Problem1-Graph of Parametric Equations
  14. Graphs of Discontinuous Functions
  15. Problem1-Graphs of Discontinuous Functions
  16. Graphical Solution of the Equation
  17. Use Maple Graphic Commands for Two Dimensional Plot a Circle
2.6: Limit of a Function  (Practice Test)
  1. Meaning of the Phrase 'x' Approaches zero, Infinity
  2. Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
  3. Defining Interval
  4. Defining Closed, Open, Half Open and Half Closed Interval
  5. Introduction to Neighbourhood in Intervals
  6. Deducting Formulae at Limit Approaches to 0 and infinity
  7. Problem-Deducting Formulae at Limit Approaches to 0 and infinity
  8. Limit at Infinity
  9. Method for Evaluating the Limits at Infinity
  10. Problem-Method for Evaluating the Limits at Infinity
  11. Defining Sequence and Limit of Sequence
  12. Concept of a Limit of a Function
  13. Problem-Concept of Limit of a Function
  14. Theorems on Limit of Functions
2.7: Important Limits  (Practice Test)
  1. The Sandwitch Theorem
  2. Evaluate Limits of Different Algebraic, Exponential & Trigonometric F
  3. Maple Command to Evaluate the Limit of a Function
2.8: Continous and Discontinuous Functions  (Practice Test)
  1. One-Sided Limits
  2. Criterion for Existence of Limit of a Function
  3. Problem1-Criterion for Existence of Limit of a Function
  4. Continuity of a Function at a Number
  5. Test Continuity and Discontinuity of a Function at a Point in an Inte
  6. Problem-Test Continuity & Discontinuity of Function at a Point
  7. Maple Command for Continuous and Discountinuous Functions