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
1
Course Overview
Review of Inequalities, Functions, and Trigonometry
Read Sections 1.1-1.3
2
Exponential and Logarithmic Functions
Inverse Functions
Limits of Functions
Read Sections 1.4-1.5, 2.2-2.3
3
Continuity
Limits Involving Infinity
Read Sections 2.1, 2.4, and 4.6
4
Tangent Lines
Definition of the Derivative
Read Sections 3.1-3.2
5
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.
Read Chapters 1-2 and
Sections 3.1-3.2 and 4.6
Differentiation Rules
Read Sections 3.3
6
Rates of Change
Derivatives of Exponential and Trig Functions
Read Sections 3.4-3.5
7
Higher-Order Derivatives
The Chain Rule
Implicit Differentiation
Various Applications
Read Sections 3.6, 3.8
8
Derivatives of Inverse and Log Functions
Read Section 3.7, 3.9
9
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.
Read Chapter 3
Related Rates
Extreme Values
Mean Value Theorem
Read Sections 4.1,4.3-4.4
10
Increasing and Decreasing
Concavity and Curve Sketching
Read Sections 4.5-4.6, 4.8
11
Optimization
Linear Approximation
Read Sections 4.2, 4.7, 4.9
12
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.
Read Chapter 4
Antiderivatives
Read Sections 4.10
13
Area and Finite Sums
Summation Notation
The Definite Integral
Read Sections 5.1-5.2
14
The Fundamental Theorem of Calculus
Read Sections 5.3-5.4
15
Integration by Substitution
Area Between Curves
Read Sections 5.5-5.7 and 6.1
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Final
Exam
*** Final Exam ***
Read Chapters 1-5, 6.1