Ucale

### 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 Rolles theorem 00:11:35 Lagranges 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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