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Calculus Filled-out Lecture Notes
The following scanned lecture notes have been prepared for you to use as a reference while you are going through your Calculus learning journey, as well as to prepare for the AP Calculus Exam (should you decide to take this exam):
Chapter 2
Differentiation: Basic Concepts
Chapter 2 Cover Sheet
2.1 The Derivative
2.2 Techniques of Deriving
2.1-2.2 Quiz Answer Key
2.3 Product and Quotient Rules
2.1-2.3 Quiz Review
2.1-2.3 Quiz Answer Key
2.4 Chain Rule
2.4 Review
2.5 Chain Rule (Continued)
2.6 Implicit Differentiation & Related Rates
2.7 The Second Derivative
2.8 Derivatives of Trigonometric Functions
Chapter 2 Test Answer Key
Chapter 4
Exponential and Logarithmic Functions
Chapter 4 Cover Sheet
4.1 Exponential Functions
4.2 Logarithms
4.3 Derivatives of Logs and e
4.4 Applications of Exponential Models
4.1-4.4 Quiz Review
4.1-4.4 Quiz Answer Key
4.5 Other Derivatives
4.6 Linear Approximations
4.7 L'Hospital's Rule
Chapter 4 Test Answer Key
Chapter 5
Integration
Chapter 5 Cover Sheet
5.1 Antidifferentiation, The Indefinite Integral
5.2 Integration by Substitution
5.1-5.2 Review
5.1-5.2 Quiz Answer Key
5.3 Riemann Sums
5.3 Definite Integration, FTC Part 2
5.4 Area Between Two Curves
5.4 Average Value of a Function
5.5 Trig Integrals
5.6 Inverse Trig Integrals
5.7 FTC Part 1
Chapter 5 Test Answer Key
Chapter 7
AP Calculus AB Prep
Chapter 8
Multivariable Calculus Preview