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Lecture Notes
Quarter 1
UNIT 1
1-1 Review of Lines
1-2 Functions and Graphs
1-3/1-5 Exponential/Logarithmic Functions
1-6 Trig Review
UNIT 2
2-1 Limits
2-2 Limits to Infinity
2-3 Continuity
2-4 Rates of Change
UNIT 3
3-1 The Derivative
3-2 Differentiability
3-3 Rules of Differentiation
3-4 Rates of Change
3.5 Trig Derivatives
Quarter 2
UNIT 4
3.6 Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Inverse Functions
3.9 Log and exponential derivatives
UNIT 5
4.1 Extreme Values
4.2 Mean Value Theorem (MVT)
4.3.1 Derivative Tests
4.3.2 Derivative Tests
4.4.1 Optimization
4.4.2 Optimization
UNIT 6
4.5/4.2 Differentials
4.6.1 Related Rates
4.6.2 Related Rates
Quarter 3
UNIT 7
5.1 Reimann Sums
5.2 Definite Integrals
5.3.1 Integral Rules
5.3.2 Average Value of a Function
5.4 Fundamental Theorem of Calculus
UNIT 8
5.5 Trapezoidal Rule
6.1.1 Initial Value Problems
6.1.2 Slope Fields
6.2 U-Substitution
6.4.1 More Initial Value
UNIT 9
6.4.2 Exponential Growth
7.1 Net Change
7.2 Area Between Two Curves
7.3.1/7.3.2 Solids of Revolutions
7.3.3 Cross-Sections
AP Review
Related Rates Review
Area and Volume Review
Analyzing Graphs Review
Differential Equations Review
Practice Exam MC Answers
Practice Exam FR Answers