MATH 221: Schedule
The purpose of this page is to give you a tentative schedule. The schedule may change and is meant to be used as a rough guide of topics to be covered.
Week | Lecture Topics | Reading Assignment |
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Course Overview Review of Inequalities, Functions, and Trigonometry |
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Exponential and Logarithmic Functions Inverse Functions Limits of Functions |
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Continuity Limits Involving Infinity |
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Tangent Lines Definition of the Derivative |
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Exam 1: The exam will cover Chapters 1-2 and Sections 3.1-3.2 and 4.6 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the problems from the book, and know all of the definitions and useful theorems. | Sections 3.1-3.2 and 4.6 |
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Differentiation Rules | ||
Rates of Change Derivatives of Exponential and Trig Functions |
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Higher-Order Derivatives The Chain Rule Implicit Differentiation Various Applications |
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Derivatives of Inverse and Log Functions | ||
Exam 2: The exam will cover Chapter 3 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the problems from the book, and know all of the definitions and useful theorems. | ||
Related Rates Extreme Values Mean Value Theorem |
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Increasing and Decreasing Concavity and Curve Sketching |
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Optimization Linear Approximation |
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Exam 3: The exam will cover Chapter 4 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the problems from the book, and know all of the definitions and useful theorems. | ||
Antiderivatives | ||
Area and Finite Sums Summation Notation The Definite Integral |
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The Fundamental Theorem of Calculus | ||
Integration by Substitution Area Between Curves |
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Exam |