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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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Functions
Understand the different mathematical functions and their properties.
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