MA 16100
Calculus I
Spring 2022
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Lesson 0 1.1 Review of Functions and 1.2 Representing Functions
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Lesson 1 1.3 Exponential and Logarithmic Functions
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Lesson 2 1.4 Trigonometric Functions and Their Inverses
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Lesson 3 2.1 The Idea of Limits and 2.2 Definition of Limits
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Lesson 4 2.3 Techniques for Computing Limits
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Lesson 5 2.4 Infinite Limits
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Lesson 6 2.5 Limits at Infinity
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Lesson 7 2.6 Continuity
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Lesson 8 3.1 Introducing the Derivative
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Lesson 9 3.2 The Derivative as a Function
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Lesson 10 3.3 Rules of Differentiation
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Lesson 11 3.4 The Product and Quotient Rules
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Lesson 12 3.5 Derivatives of Trigonometric Functions
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Lesson 13 3.6 Derivatives as Rates of Change and 3.7 The Chain Rule, part 1
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Lesson 14 3.7 The Chain Rule, part 2
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Lesson 15 3.8 Implicit Differentiation
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Lesson 16 3.9 Derivatives of Logarithmic and Exponential Functions
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Lesson 17 3.10 Derivatives of Inverse Trigonometric Functions
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Lesson 18 3.11 Related Rates, part 1
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Lesson 19 3.11 Related Rates, part 2
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Lesson 20 4.1 Maxima and Minima
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Lesson 21 4.2 The Mean Value Theorem and 4.3 What Derivatives Tell us, part 1
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Lesson 22 4.3 What Derivatives Tell us, part 2
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Lesson 23 4.4 Graphing Functions, part 1
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Lesson 24 4.4 Graphing Functions, part 2
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Lesson 25 4.5 Optimization Problems, part 1
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Lesson 26 4.5 Optimization Problems, part 2
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Lesson 27 4.6 Linear Approximation
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Lesson 28 4.7 l'Hospital's Rule
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Lesson 29 4.9 Antiderivatives
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Lesson 30 5.1 Approximating Areas Under Curves
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Lesson 31 5.2 Definite Integrals
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Lesson 32 5.3 Fundamental Theorem of Calculus
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Lesson 33 5.4 + 5.5-1 Working with Integrals and Substitution Rule
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Lesson 34 5.5-2 Substitution Rule, part 2
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Lesson 35 7.2 Exponential Growth and Decay
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Exam 1 Review
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Exam 2 Review
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Exam 3 Review
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Final Exam Review, Part 1
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Final Exam Review, Part 2
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Final Exam Review, Part 3