Course Outline

New Stuff 2025

Chapter 1: Limits and Their Properties

• Lecture Notes
• Assignment Questions
• Answer Key

Chapter 2: Differentiation

• Lecture Notes
• Assignment Questions
• Answer Key

Chapter 3: Applications of Differentiation

• Lecture Notes
• Assignment Questions
• Answer Key

Chapter 4: Integration

• Lecture Notes
• Assignment Questions

• Answer Key

Chapter 5: Logs, Exponentials, Transcendentals

• Lecture Notes
• Assignment Questions
• Answer Key

Chapter 6: Differential Equations

• Lecture Notes
• Assignment Questions
• Answer Key

Chapter 7: Applications of Integration

• Lecture Notes
• Assignment Questions
• Answer Key

Chapter 8: Integration Techniques

• Lecture Notes
• Assignment Questions

• Answer Key

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Class Notes

Section 1 - Limits and Rates of Change​

• 1.R - Review and Preview
• 1.1 Linear Functions and the Tangent
• 1.2 The Limit of a Function
• 1.3 One-Sided Limits
• 1.4 Using Limits to find Tangents
• 1.5 Velocity and Rates of Change
• 1.6 Infinite Sequences
• 1.7 Infinite Series​​​​

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Section 2 - Derivatives

• 2.R Review and Preview
• 2.1 Derivatives
• 2.2 The Power Rule
• 2.3 The Sum and Difference Rules
• 2.4 The Product Rule
• 2.5 The Quotient Rule
• 2.6 The Chain Rule
• 2.7 Implicit Differentiation
• 2.8 Higher Derivatives

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Section 3 - Applications of Derivatives

• 3.1 Velocity
• 3.2 Acceleration
• 3.3 Rates of Change in Natural Science
• 3.4 Rates of Change in Social Sciences
• 3.5 Related Rates​​

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Section 4 - Extreme Values

• 4 - Review and Preview
• 4.1 - Increasing/Decreasing Functions
• 4.2 - Maximum and Minimum Value
• 4.3 - The First Derivative Test
• 4.4 - Applied Max/Min Problems
• 4.5 - Applied Problems in Economics

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Section 5 - Curve Sketching

• 5.R1 - Review and Preview
• 5.R2 - Reveiw and Preview 2
• 5.1 - Vertical Asymptotes
• 5.2 - Horizontal Asymptotes
• 5.3 - Concavity and Inflection Points
• 5.4 - The Second Derivative Test
• 5.5 - Procedure for Curve Sketching
• 5.6 - Slant Asymptotes

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Section 7 and 8

• Section 7.2 - Sine and Cosine Derivatives
• Section 7.3 - Other Trig Derivatives
• Section 8.2 - Derivatives of Exponentials
• Section 8.4 - Derivatives of Logarithms

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Section 9 and 10

• Section 9.1 - Antiderivatives
• Section 10. R - Review and Preview
• Section 10.1 - Area Under a Curve
• Section 10.2 - Area Between Two Curves
• Section 10.3 - Natural Logarithm as an Area
• Section 10.4 - Area as Limits 

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Section 11

• Section 11.1 - The Definite Integral
• Section 11.2 - The Fundamental Theorem of Calculus
• Section 11.3 - The Substitution Rule
• Section 11.4 - Integration by Parts​

Answer Keys 

Section 1

• 1.R
• 1.1
• 1.2
• 1.3
• 1.4
• 1.5
• 1.6
• 1.7​​

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Section 2

• 2.R
• 2.1
• 2.2
• 2.3
• 2.4
• 2.5
• 2.6
• 2.7
• 2.8​

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Section 3

• 3.1
• 3.2
• 3.3
• 3.4
• 3.5​​

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Section 4

• 4.R
• 4.1
• 4.2
• 4.3
• 4.4
• 4.5

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Section 5

• 5.R1
• 5.R2
• 5.1
• 5.2
• 5.3
• 5.4
• 5.5
• 5.6

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Section 7 and 8

• 7.2
• 7.3
• 8.2
• 8.4

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Section 9 and 10

• 9.1
• 10.R
• 10.1
• 10.2
• 10.3
• 10.4

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Section 11

• 11.1
• 11.2
• 11.3
• 11.4

E-Lessons

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