Calculus
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Table of Contents
Derivatives
Unit 0 - Calc Prerequisites
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0.1 Things to Know for Calc
0.2 Summer Packet
0.3 Calculator Skillz
Unit 1 - Limits
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1.1 Limits Graphically
1.2 Limits Analytically
1.3 Asymptotes
1.4 Continuity
Review - Unit 1
Unit 2 - The Derivative
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2.1 Average Rate of Change
2.2 Definition of the Derivative
2.3 Differentiability
Review - NOT READY
Unit 3 - Basic Differentiation
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3.1 Power Rule
3.2 Product & Quotient Rule
3.3 Velocity/Rates of Change
3.4 Chain Rule
3.5 Trig Derivatives
Unit 3 Review
Unit 4 - More Derivatives
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4.1 Exp and Log Derivatives
4.2 Inverse Derivatives
4.3 L'Hopitals Rule
Unit 5 - Curve Sketching
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5.1 Extreme Values
5.2 First Derivative Test
5.3 Second Derivative Test
Unit 5 Review
Unit 6 - Implicit Differentiation
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6.1 Implicit Differentiation
6.2 Related Rates
6.3 Optimization
SEMESTER EXAM
Integrals
Unit 7 - Approximation Methods
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7.1 Rectangular Approximation
7.2 Trapezoidal Approximation
Unit 8 - Integration
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8.1 Definite Integral
8.2 First Fundamental Theorem of Calculus
8.3 Antiderivatives
Unit 8 Review
Unit 9 - FTC Part 2
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9.1 The 2nd FTC
9.2 Trig Integrals
9.3 Average Value
9.4 Net Change
Unit 10 - More Integrals
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10.1 Slope Fields
10.2 u Sub Indefinite Integral
10.3 u Sub Definite Integral
10.4 Separation of Variables
Unit 10 Review
Unit 11 - Area and Volume
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11.1 Area Between Curves
11.2 Solids of Revolution (Discs)
11.3 Solids of Revolution (Washers)
11.4 Perpendicular Cross Sections
Unit 11 Review
Pacing Guide
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