Mastering Calculus: Limits, Derivatives, and Integrals
Unlock the Secrets of Calculus: Master Limits, Derivatives, and Integrals with Expert Guidance!
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125 learners
What you'll learn
Understand and apply limit laws to evaluate limits effectively
Identify and analyze vertical and horizontal asymptotes in functions
Calculate derivatives using various rules and determine their practical applications
Solve problems involving integrals and apply the Fundamental Theorem of Calculus
This course includes
11 hours of video
Certificate of completion
Access on mobile and TV
Course content
1 modules
• 40 lessons
• 11 hours of video
Mastering Calculus: Limits, Derivatives, and Integrals
40 lessons
• 11 hours
▶
Introduction to Limits35:14
Limits Laws and Evaluating Limits21:46
Infinite Limits and Vertical Asymptotes22:29
Finding Vertical Asymptotes06:43
Limits at Infinity and Horizontal Asymptotes19:55
Continuity12:20
Introduction to Derivatives21:59
Basic Derivative Properties and Examples21:12
How to Find the Equation of the Tangent Line05:23
Is the Function Differentiable?04:53
Derivatives: The Power Rule and Simplifying18:26
Average Rate of Change09:57
Instantaneous Rate of Change03:40
Position and Velocity11:37
Marginal Analysis15:49
Derivatives of e^x and ln(x)11:19
Derivatives of Logarithms and Exponential Functions11:57
The Product and Quotient Rules for Derivatives18:24
The Chain Rule19:32
Implicit Differentiation29:49
Higher Order Derivatives15:13
Related Rates21:21
More Related Rates Problems28:38
Derivatives and Graphs15:35
First Derivative Test08:11
Concavity15:45
How to Graph the Derivative05:45
The Extreme Value Theorem, and Absolute Extrema20:08
Applied Optimization20:09
Applied Optimization part 214:55
Indefinite Integrals (Antiderivatives)20:23
Integrals Involving e^x and 1/x08:05
u-substitution36:05
Definite vs Indefinite Integrals24:04
Average Value of a Function + The Fundamental Theorem of Calculus10:04
