Comprehensive Guide to AP Calculus: Limits, Derivatives & Integrals
Master Calculus Concepts: From Limits to Integrals and Beyond! Unlock essential skills in Riemann Sums, Derivatives, Series, and more with RH Mathematics. Transform your understanding and excel in Calculus!
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What you'll learn
Understand and apply the concept and properties of limits to various functions
Analyze the relationship between derivatives and rates of change in real-world contexts
Apply integration techniques to solve problems related to areas and volumes
Use series and convergence tests to evaluate the behavior of infinite series
This course includes
26.5 hours of video
Certificate of completion
Access on mobile and TV
Course content
1 modules
• 81 lessons
• 26.5 hours of video
Comprehensive Guide to AP Calculus: Limits, Derivatives & Integrals
81 lessons
• 26.5 hours
▶
Definition of a Limit18:21
Limit Properties07:12
The Connection Between Limits and Asymptotes28:48
Continuous Functions18:21
Intermediate Value Theorem05:21
Average Rate of Change05:41
Instantaneous Rate of Change and The Derivative20:44
Mean Value Theorem07:52
Elementary Derivative Rules41:19
Product and Quotient Rules21:21
The Chain Rule15:01
Derivatives of Inverse Functions13:59
Applications of the First Derivative46:46
Concavity and Inflection Points13:53
Absolute Extrema17:49
AP Calculus Topic 3.2: Implicit Differentiation29:29
Logarithmic Differentiation09:18
Linear Approximation22:50
Related Rates26:27
More Related Rates25:18
Slope Fields21:12
Antidifferentiation27:27
Separation of Variables22:57
L'Hospital's Rule: Determining Limits of Indeterminate Forms17:19
Other Indeterminate Forms12:34
Euler's Method17:31
Logistic Differential Equation14:57
Riemann Sums28:52
The Fundamental Theorem of Calculus21:22
U-Substitution27:56
Distance and Displacement25:41
Writing an Integral as a Limit of a Riemann Sum10:01
How to Compute Definite Integrals with a TI-8302:53
The Second Fundamental Theorem of Calculus26:14
Revisiting the Fundamental Theorem of Calculus24:31
Rate In - Rate Out20:16
Area Between Two Curves19:31
AP Calculus Topic 8.5: Finding the Area Between Curves Expressed as Functions of y09:52
Arclength06:48
Volumes with Disks12:49
Volume of Solids with Known Cross Sections19:40
Volume with Washers22:02
Justifying Our Answers in AP Calculus33:07
What We Must Know for Calculus AB18:48
Things We May Have Forgotten From Calculus AB11:59
Integral of a Product16:35
Integral of a Quotient18:33
Improper Integrals18:56
Integration by Completing the Square16:04
Parametric Equations21:17
Why do you divide by dx/dt when determining the concavity of a parametric curve?05:12
Solving Motion Problems Using Parametric and Vector-Valued Functions: AP Calculus Topic 9.625:54
Polar Curves28:25
Motion Along a Polar Curve09:23
The Basics of Series13:04
Infinite Series22:59
Tests for Convergence16:04
Alternating Series10:01
Absolute and Conditional Convergence05:46
Alternating Series Error Bound12:51
Alternating Series Test: Why do the terms need to decrease in magnitude?04:14
Ratio Test11:36
Interval and Radius of Convergence13:39
Developing Maclaurin Polynomials18:28
Finding Taylor Series17:11
Extracting Information from a Taylor Polynomial09:14
Lagrange Error Bound20:52
Taylor Series Free Response Questions28:00
AP Calculus All Topic Multiple Choice Review01:48:55
Definition of a Limit17:51
Limits Involving Infinity33:24
Continuity22:52
Definition of the Derivative30:40
Chain Rule30:05
Implicit Differentiation39:46
Enclosed Areas22:25
Parametric Free Response Questions19:47
The Integral Test11:33
Top 5 Tips for Using Desmos on the AP Calculus Exam13:30
Calculating Derivatives Using Desmos04:02
"Speeding Up" and "Slowing Down" in AP Calculus09:01
