MATH 221: Schedule and Supplemental Problems

The purpose of this page is to give you a tentative schedule and a list of supplemental problems.

  • The schedule may change and is meant to be used as a rough guide of topics to be covered.
  • The supplemental problems are completely optional and you will NOT hand them in. However, you are encouraged to work through as many of them as you can. You should work through them with other students. These are the exact problems I have assigned in some previous semesters, and they provide a good example of problems that will be on the exams.
  • Your homework grade will be based on the Webwork Assignments, not the supplemental exercises.
  • Reading the textbook is required, NOT optional. Your chances of getting a good grade in this course are infinitesimally small unless you read the textbook in addition to attending lectures.
UPDATED: Saturday, November 19, 2011 at 13:41
Week Lecture Topics Supplemental Problems Reading Assignment
1
 Course Overview
Chapter 1: Precalculus Review		 Sec. A.1: 3-23 (odd)
Sec. A.3: 1-17 (odd)
Sec. 1.1: 1-35, 47-57, 63, 65 (odd)
Sec. 1.2: 1-33, 55-73 (odd)
Sec. 1.3: 1-49 (odd)
Read Appendix 1 and 3
and Sections 1.1-1.4
2
 2.1: The Tangent Problem/Rates of Change
2.2-2.4: Limits of Functions		 Sec. 2.1: 1-15 (odd)
Sec. 2.2: 1-73 (odd)
Sec. 2.4: 1-39 (odd)
Read Sections 2.1-2.4
3
 2.5: Continuity
2.6: Limits Involving Infinity		 Sec. 2.5: 1-45 (odd)
Sec. 2.6: 1-75, 81-85 (odd)
Read Sections 2.5-2.6
4
 Exam 1 is on Friday, September 23: The exam will cover Sections A.1, A.3, 1.1-1.3, and 2.1-2.6 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Wednesday.
Read Appendices 1 and 3
and Chapters 1 and 2
3.1: Tangent Lines and Derivatives Sec. 3.1: 5-31 (odd)
Read Sections 3.1
5
 3.2: The Derivative
3.3: Differentiation Rules
3.4: Rates of Change		 Sec. 3.2: 1-21, 27-47 (odd)
Sec. 3.3: 1-41, 45-51 (odd)
Sec. 3.4: 1-9, 13-17, 21-25 (odd)
Read Sections 3.2-3.4
6
 3.3: Higher-Order Derivatives
3.5: Derivatives of Trig Functions
3.6: The Chain Rule
3.7: Implicit Differentiation
Various Applications		 Sec. 3.5: 1-33 (odd)
Sec. 3.6: 1-63 (odd)
Sec. 3.7: 1-27 (odd)
Read Sections 3.5-3.7
7
 Fall Break: No Classes on Monday and Tuesday, Oct. 10-11
3.8: Related Rates		 Sec. 3.8: 1-43 (odd)
Read Sections 3.8
8
 4.1: Extreme Values
4.2: Mean Value Theorem		 Sec. 4.1: 1-67 (odd)
Sec. 4.2: 1-53 (odd)
Read Sections 4.1-4.2
Exam 2 is on Wednesday, October 19: The exam will cover Sections 3.1-3.8 of the textbook. It will be similar to the homework. To practice for the exam, review the WeBWorK problems, do some of the supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Tuesday.
Read Chapter 3
9
 4.3: Increasing and Decreasing
4.4: Concavity and Curve Sketching		 Sec. 4.3: 1-69 (odd)
Sec. 4.4: 1-111 (odd)
Read Sections 4.3-4.4
10
 4.5: Optimization
3.9: Linear Approximation
4.6: Newton's Method
4.7: Antiderivatives		 Sec. 4.5: 1-15, 19, 23, 29-39 (odd)
Sec. 3.9: 1-15 (odd)
Sec. 4.6: 1-23 (odd)
Sec. 4.7: 1-65 (odd)
Read Sections 3.9, 4.5-4.7
11
 4.7: Initial Value Problems
5.2: Summation Notation		 Sec. 4.7: 67-89, 95-101 (odd)
Sec. 5.2: 1-35, 39-45 (odd)
Read Sections 5.1-5.2
Exam 3 is on Friday, November 11: The exam will cover Section 3.9 and 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 supplemental problems listed above, and know all of the definitions and useful theorems. We will have a review in class on Wednesday.
Read Chapter 4
12
 5.1: Area and Finite Sums
5.3: The Definite Integral		 Sec. 5.1: 1-3, 9-19 (odd)
Sec. 5.3: 1-69 (odd)
Read Sections 5.1-5.3
13
 5.4: The Fundamental Theorem of Calculus Sec. 5.4: 1-47 (odd)
Read Sections 5.4
Thanksgiving Break: No classes, November 23-25.
STUDY ALL WEEK.....Yeah right!
Have a great and safe break!
14
 5.5: Integration by Substitution
5.6: Area Between Curves		 Sec. 5.5: 1-49, 55-63 (odd)
Sec. 5.6: 1-69 (odd)
Read Sections 5.5-5.6
SOFI's
Student Opinion of Faculty Instruction
Log into KnightWeb to complete your SOFIs
Surveys must be completed by Tuesday, December 13
15
 6.1: Volume by Slicing
6.2: Volume by Cylindrical Shells
6.3: Arc Length
6.4: Surface Area		 Sec. 6.1: 1-49 (odd)
Sec. 6.2: 1-41 (odd)
Sec. 6.3: 1-23 (odd)
Sec. 6.4: 1-21 (odd)
Read Sections 6.1-6.4
Final
Exam
*** Final Exam ***
SECTION 4: Wednesday, December 14, 12:00-3:00 pm, in class (Fraser 202A)
SECTION 5: Wednesday, December 14, 3:30-6:30 pm, in class (Fraser 202A)
Read Chapters 1-6