Table of Contents
Review
Factoring
Derivative by definition
Calendar
Semester 1
1 - Limits & Continuity
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1.1 Limits by Tables
1.2 Limits by Substitution
1.3 One Sided Limits & Graphing
1.4 Continuity
1.5 Derivative by Definition
Chapter 1 Review
2 - Basic Derivative Rules
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2.1 Power Rule
2.2 Power Rule Applications
2.3 Product Rule
2.4 Quotient Rule
2.5 e & ln
Chapter 2 Review
3 - Derivative Applications
>
3.1 Marginals
3.2 Average & Marginals
3.3 Higher Order Derivatives
3.4 Distance, Velocity & Acceleration
3.5 Interpretations
Review Chapter 3
4 - Advanced Derivatives
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4.1 The Chain Rule
4.2 Trig Derivatives
4.3 Differentiating Using Two Rules
4.4 Nondifferentiable Functions
Review Chapter 4
Cumulative Review Chapters 1 - 4
5 - Graphing & Optimization
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5.1 Graphing Using Derivatives
5.2 Optimization
5.3 Maximizing Profit
Review Chapter 5
6 - Advanced Techniques
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6.1 Maximizing With a Reduction
6.2 More Maximizing Applications
6.3 Explicit Vs Implicit Differentiation
6.4 Related Rates
Review Chapter 6
Semester Review
Semester 2
7 - Basic Integration
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7.1 Indefinite Integrals
7.2 Logarithms & Exponentials
7.3 Trig Functions
7.4 Definite Integrals
Review Chapter 7
8 - Integration Applications
>
8.1 Fundamental Theorem of Integral Calculus
8.2 Average Value
8.3 Area Between Curves
Review Chapter 8
9 - The U
>
9.1 Substitution
9.2 Substitution & Trig
Review Chapter 9
Cumulative Review
10 - Complex Techniques
>
10.1 Integration By Parts
10.2 Integration By Complex Formulas
10.3 Reduction Formulas & Subst
10.4 Definite Complex Integrals
Review Chapter 10
11 - Integrating to Infinity
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11.1 Special Limits for Sine/Cosine
11.2 Limits Approaching Infinity
11.3 Improper Integrals to + Infinity
11.4 Improper Integrals to - Infinity
11.5 Improper Integrals to +/- Infinity
Chapter 11 Review
12 - Approximations
>
12.1 Numerical Integraion
12.2 Differnintial Equations
Final Review
Courses
Calculus
PreCalculus
ACT Prep
Principles of Engineering
Table of Contents
Review
Factoring
Derivative by definition
Calendar
Semester 1
1 - Limits & Continuity
>
1.1 Limits by Tables
1.2 Limits by Substitution
1.3 One Sided Limits & Graphing
1.4 Continuity
1.5 Derivative by Definition
Chapter 1 Review
2 - Basic Derivative Rules
>
2.1 Power Rule
2.2 Power Rule Applications
2.3 Product Rule
2.4 Quotient Rule
2.5 e & ln
Chapter 2 Review
3 - Derivative Applications
>
3.1 Marginals
3.2 Average & Marginals
3.3 Higher Order Derivatives
3.4 Distance, Velocity & Acceleration
3.5 Interpretations
Review Chapter 3
4 - Advanced Derivatives
>
4.1 The Chain Rule
4.2 Trig Derivatives
4.3 Differentiating Using Two Rules
4.4 Nondifferentiable Functions
Review Chapter 4
Cumulative Review Chapters 1 - 4
5 - Graphing & Optimization
>
5.1 Graphing Using Derivatives
5.2 Optimization
5.3 Maximizing Profit
Review Chapter 5
6 - Advanced Techniques
>
6.1 Maximizing With a Reduction
6.2 More Maximizing Applications
6.3 Explicit Vs Implicit Differentiation
6.4 Related Rates
Review Chapter 6
Semester Review
Semester 2
7 - Basic Integration
>
7.1 Indefinite Integrals
7.2 Logarithms & Exponentials
7.3 Trig Functions
7.4 Definite Integrals
Review Chapter 7
8 - Integration Applications
>
8.1 Fundamental Theorem of Integral Calculus
8.2 Average Value
8.3 Area Between Curves
Review Chapter 8
9 - The U
>
9.1 Substitution
9.2 Substitution & Trig
Review Chapter 9
Cumulative Review
10 - Complex Techniques
>
10.1 Integration By Parts
10.2 Integration By Complex Formulas
10.3 Reduction Formulas & Subst
10.4 Definite Complex Integrals
Review Chapter 10
11 - Integrating to Infinity
>
11.1 Special Limits for Sine/Cosine
11.2 Limits Approaching Infinity
11.3 Improper Integrals to + Infinity
11.4 Improper Integrals to - Infinity
11.5 Improper Integrals to +/- Infinity
Chapter 11 Review
12 - Approximations
>
12.1 Numerical Integraion
12.2 Differnintial Equations
Final Review
Courses
Calculus
PreCalculus
ACT Prep
Principles of Engineering
Calculus
3.2 Average & Marginals
Notes 3.2
Notes Key
Homework 3.2
Homework Key