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:
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:
Chapter 1
Functions, Graphs and Limits
Chapter 1 Cover Sheet
1.1 Functions
1.2 Graph of a Function
1.3 Linear Functions
1.4 Functional Models
1.1-1.4 Quiz Review
1.5 Limits
1.6 Continuity
Chapter 2
Differentiation: Basic Concepts
Chapter 2 Cover Sheet
2.1 The Derivative
2.2 Techniques of Deriving
2.3 Product and Quotient Rules
2.4 Chain Rule
2.1-2.4 Quiz Review
2.5 Chain Rule (Continued)
2.6 Implicit Differentiation & Related Rates
2.7 The Second Derivative
2.8 Derivatives of Trigonometric Functions
Chapter 5
Integration
Chapter 5 Cover Sheet
5.1 Antidifferentiation, The Indefinite Integral
5.2 Integration by Substitution
5.1-5.2 Review
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 7
AP Calculus AB Prep
See AP Calculus AB Page
Chapter 8
Multivariable Calculus Preview
8.1 3D Coordinate System
8.2 Partial Derivatives
8.3 Double (Multiple) Integrals
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