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AP Calculus AB
Welcome!
What To Expect
How To Optimize Your Learning In This Course
The Discussion Board: General Questions
Unit 0: Precalculus
Read: Is This Optional?
Exponents (4:56)
Logarithms (17:13)
Fractional Decomposition (8:56)
Conic Section: Circles and Ellipses (27:42)
Trigonometry (49:43)
Unit 0 Test: Precalculus Overview
Unit 1: Limits & Continuity
Limits By Direct Evaluation (4:43)
Limits at Jump Discontinuities and Kinks (18:41)
Evaluating Limits at Removable Discontinuities (24:40)
Evaluating Limits at Removable Discontinuities with Trigonometry (7:20)
Evaluating Limits at Essential (Infinite) Discontinuities (12:14)
Limits at Infinity (12:18)
Continuity (9:38)
Unit 1 Test: Limits and Continuity
Unit 2: Differentiation - Definition and Fundamental Properties
Average Rates of Change (4:59)
Definition of the Derivative (10:08)
Instantaneous Rates of Change (4:12)
Power, Constant, and Sum Rules (5:11)
Higher Order Derivatives
Product Rule (14:27)
Quotient Rule
Chain Rule (43:23)
Differentiation Rules with Tables (3:50)
Chain Rule with Trig (5:42)
Chain Rule with Inverse Trig (3:31)
Chain Rule with Natural Logarithms and Exponentials
Chain Rule with Other Base Logs and Exponentials (5:55)
Logarithmic Differentiation (12:30)
Implicit Differentiation (13:40)
Derivatives of Inverse Functions (4:48)
Unit 2 Test (3 Parts)
Unit 3: Applications of Differentiation
Slope at a Value (4:37)
Derivative at a Value
Tangent Lines (11:36)
Normal Lines
Points of Horizontal Tangents (6:12)
Mean Value Theorem (10:35)
Rolle's Theorem
Intervals of Increase and Decrease (9:23)
Intervals of Concavity (5:08)
Relative Extrema (9:32)
Absolute Extrema (10:51)
Optimization (22:58)
Curve Sketching (8:49)
Comparing a Function and its Derivatives (10:34)
Motion Along a Line (7:52)
Related Rates (21:17)
Differentials (12:42)
L'Hopital's Rule (14:01)
Unit 3 Test (4 Parts)
Unit 4: Indefinite Integration
Power Rule (4:25)
Logarithmic Rule and Exponentials (2:53)
Trigonometric Functions (4:09)
Inverse Trigonometric Forms (7:08)
Substitution with Power Rule (10:55)
Substitution with Logarithms and Exponentials (8:04)
Substitution with Trigonometric Functions (8:01)
Substitution with Inverse Trigonometric Forms (7:08)
Bonus: Integration by Parts (BC) (11:37)
Unit 4 Test
Unit 5: Definite Integration
Approximating Area Under a Curve (12:58)
Area Under a Curve by Limit of Sums (22:34)
Riemann Sum Tables (4:29)
First Fundamental Theorem of Calculus (4:33)
Substitution for Definite Integrals (4:57)
Mean Value Theorem for Integrals (6:06)
Second Fundamental Theorem of Calculus (6:08)
Unit 5 Test (3 Parts)
Unit 6: Applications of Integration
Area Under a Curve (5:44)
Area Between Curves (5:44)
Volume by Slicing - Washers and Disks (13:49)
Volume by Cylinder Method (12:09)
Volume Using Known Cross Sections (9:07)
Motion Along a Line Revisited (7:52)
Unit 6 Test
Unit 7: Differential Equations
Slope Fields (6:49)
Introduction to Differential Equations (7:22)
Separable Equations (5:04)
Exponential Growth and Decay (11:48)
Unit 7 Test
Formula Sheets
Formula Sheet Part 1
Formula Sheet Part 2
5 AP Calculus AB Practice Exams (with Answer Keys)
Practice Exam 1
Practice Exam 2
Practice Exam 3
Practice Exam 4
Practice Exam 5
More Practice Questions
AP Score Calculator
Relative Extrema
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