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Course Curriculum

Indeterminate Forms
What is indeterminate form 00:12:42
Indeterminate form in real world Unlimited
Quiz 1: Indeterminate Form Unlimited
Limits
Introduction to Limits 00:20:05
Why Limits Unlimited
When to Solve Limits 00:10:26
Finding Tendency: Question 1 Unlimited
Finding Tendency: Question 2 Unlimited
Finding Tendency: Question 3 Unlimited
Finding Tendency: Question 4 Unlimited
Solving Limits
Evaluating Left Hand and Right Hand Limit Unlimited
Finding LHL and RHL: 1 Unlimited
Finding LHL and RHL: 2 Unlimited
Finding LHL and RHL: 3 Unlimited
Finding LHL and RHL: 4 Unlimited
Limits Form 1
Limits Form 1: Zero by Zero 00:10:26
Limits Rationalization Method 00:12:44
Limits Form 1 – Algebraic Limits Factorization and Rationalization Method Unlimited
Algebraic Limits
Algebraic Limits 00:10:35
Example1: Algebraic Limits Using Some Standard Results 00:09:05
Limits Form 2: Infinity by Infinity
Limits Form 2: Infinity by Infinity 00:13:11
Limits Form 2 – Algebraic Limits Factorization and Rationalization Method Unlimited
Quiz 2: Algebraic Limits Unlimited
Limits Form 3: Trigonometrical Limits
Trigonometrical Limits 00:14:09
Some Important Results of Trigonometrical Limits Unlimited
Example 1: Limits Form 3 (Trigonometrical Limits) 00:03:38
Example 2: Limits Form 3 (Trigonometrical Limits) 00:05:26
Example 3: Limits Form 3 (Trigonometrical Limits) 00:05:32
Quiz 3: Trigonometrical Limits Unlimited
Limits Form 4: Logarithmic Limits
Some Useful Expansions Unlimited
Logarithmic Limits 00:04:00
Evaluation of Logarithmic Limits Unlimited
Example 1: Logarithmic Limits Unlimited
Example 2: Logarithmic Limits Unlimited
Example 3: Logarithmic Limits Unlimited
Quiz 4: Logarithmic Limits Unlimited
Limits Form 5: Exponential Limits
Exponential Limits 00:05:30
Example 1: Exponential Limits 00:03:20
Example 2: Exponential Limits 00:04:53
Exponential Limits: Result 2 00:04:51
Example 1: Exponential Limits Result 2 00:03:21
Quiz 5: Exponential Limits Unlimited
Exponential Limits of the Form One to the Power Infinity
Exponential Limits of the Form One to the Power Infinity 2 years, 2 months
Example 1: Exponential Limits of the Form One to the Power Infinity 00:07:06
Example 2: Exponential Limits of the Form One to the Power Infinity 00:05:23
Example 3: Exponential Limits of the Form One to the Power Infinity 00:04:46
L-Hospital's Rule
L-Hospital’s Rule 00:08:03
Example 1: L-Hospital’s Rule 00:05:27
Continuity of a Function
Introduction to Continuity 00:09:48
Continuity of a Function 00:06:21
Equation of a Continuous Function Unlimited
Discontinuity of Function Unlimited
Example 1: Continuity of a Function 00:05:18
Finding the Continuity: 1 Unlimited
Example 2: Continuity of a Function 00:15:51
Example 3: Continuity of a Function 00:06:43
Understanding the Continuity Unlimited
Quiz 6: Continuity of Function Unlimited
Continuity of a Function at End Points
Continuity at End Points 00:05:46
Continuity at End Points Example 1 00:09:03
Continuity of a Function on an Interval Example 1 00:11:33
Differentiation: Definition of Differentiation
What is Differentiation? 00:08:52
Differentiation from Limits Unlimited
Differentiability of a Function 00:17:40
Differentiation from Graphical Point of View Unlimited
Differentiate by Applying Limits 1 Unlimited
Quiz 7: Differentiation by Applying Limits Unlimited
Differentiation of Some General Functions 00:14:50
Some Important Differentiation of General Functions Unlimited
Differentiation of Sum and Difference of Two Functions
Derivative of Sum and Difference of Two Functions 00:08:06
Example 1: Derivative of Sum and Difference of Functions 00:03:15
Example 2: Derivative of Sum and Difference of Functions 00:04:07
Quiz 8: Differentiation of Sum of Functions Unlimited
Differentiation of Product of Two Functions
Derivative of Product of Two Functions 00:06:22
Example 1: Derivative of Product of Two Functions 00:04:07
Example 2: Derivative of Product of Two Functions 00:03:40
Derivative of Product of Three or More Functions 00:07:20
Example 1: Derivative of Product of Three or More Functions 00:11:44
Example 2: Derivative of Product of Three or More Functions 00:07:40
Quiz 9: Differentiation of Product of Functions Unlimited
Differentiation Quotient Rule: Derivative of f(x)/g(x)
Quotient Rule: Differentiation of f(x) by g(x) 00:04:46
Example 1: Differentiation of Function in the form f(x)/g(x) 00:04:55
Example 2: Differentiation of Function in the form f(x)/g(x) 00:05:52
Quiz 10: Differentiation of the Ratio of Two Functions Unlimited
Differentiation by Chain Rule
Differentiation by Chain Rule 00:08:37
Examples Differentiation by Chain Rule 00:09:31
Differentiation by Applying all Rules 00:18:14
Differentiation of Implicit Function
Differentiation of Implicit Functions 00:08:38
Quiz 12: Differentiation of Implicit Function Unlimited
Differentiation of Logarithmic Function
Differentiation of Logarithmic Function 00:09:52
Example Set 1: Logarithmic Differentiation 00:08:23
Example Set 2: Logarithmic Differentiation 00:13:21
Differentiation of Infinite Series
Differentiation of Infinite Series 00:06:02
Differentiation of a Function w.r.t another Function
Differentiation of a Function w.r.t Another Function 00:07:24
Differentiation of Function of Function Unlimited
Example: Differentiation of a Function w.r.t. another Function 00:03:40
Quiz 11: Differentiation of Function of Function Unlimited
Differentiation of Parametric Function
Differentiation of Parametric Function 00:07:12
Example Set 1: Differentiation of Parametric Functions 00:06:44
Example Set 2: Differentiation of Parametric Functions 00:04:22
Higher Order Derivative
Higher Order Derivative 00:09:35
Example 1: Higher Order Derivatives 00:03:29
Example 2: Higher Order Derivatives 00:09:06
Application of Derivative
Derivative as a Rate Measure 00:06:17
Example 1: Derivative as a rate measure 00:06:54
Example 2: Derivative as a rate measure 00:05:14
Example 3: Derivative as a Rate Measure 00:07:15
Velocity of an object Unlimited
Acceleration of an object Unlimited
Rate of change of volume w.r.t radius Unlimited
Rate of change of surface area w.r.t radius Unlimited
Quiz 13: Applying Differentiation in real world Unlimited
Rolle’s Theorem 00:13:40
How to verify Rolle`s theorem 00:11:35
Lagrange`s Mean Value Theorem 00:05:46
How to verify Lagrange`s Mean Value Theorem 00:04:58
Tangents and Normals
Slope (Gradient) of a line 00:06:44
Slopes of the Tangent and the Normal 00:08:04
Example Set 1: Tangents and Normals 00:08:10
Example Set 2: Tangents and Normals 00:04:49
Equations of the Tangents and the Normals 00:09:05
Tangent on a curve Unlimited
Normal on a curve Unlimited
Example Set 1: Equation of the Tangent and the Normals 00:08:29
Example Set 2: Equation of the Tangent and the Normals 00:09:54
Quiz 14: Tangents and Normals Unlimited
Increasing and Decreasing Function
Increasing Function 00:12:03
Decreasing Function 00:10:33
How to Find the Intervals Where a Function is Increasing or Decreasing 00:05:28
Wavy Curve Method or sign Scheme for Rational Functions 00:10:49
Example Set 1: Increasing and Decreasing Function 00:12:33
Example Set 2: Increasing and Decreasing Function 00:06:21
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