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.
Week Lecture Topics Supplemental Problems Reading Assignment
1
 Course Overview
0.1-0.2: Precalculus Review		 Sec. 0.1: 1-33 (odd)
Sec. 0.2: 1-49, 61-75 (odd)		 Read Sections 0.1-0.5
2
 1.1: The Tangent Problem
1.2: Limit Concepts
1.3: Limit Computation		 Sec. 1.1: 1, 5, 7
Sec. 1.2: 1-7, 23-33 (odd)
Sec. 1.3: 1-51, 57, 59, 63-67 (odd) 		Read Sections 1.1-1.3
3
 1.4: Continuity
1.5: Limits Involving Infinity
1.6: Formal Definition of the Limit		 Sec. 1.4: 1-37, 45-49 (odd)
Sec. 1.5: 1-29 (odd)
Sec. 1.6: 1, 9, 11		 Read Sections 1.4-1.6
4
 2.1: Tangent Lines and Velocity Sec. 2.1: 5-11, 17-23, 31-41 (odd) Read Sections 2.1
EXAM
 Exam 1 is on Wednesday, September 17: The exam will cover Sections 0.1-0.2 and 1.1-1.5 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 0 and 1
5
 2.2: The Derivative
2.3: Computation of Derivatives: Power Rule
2.4: Product and Quotient Rules		 Sec. 2.2: 1-29 (odd)
Sec. 2.3: 1-15, 33-39 (odd)
Sec. 2.4: 1-33 (odd)
 Read Sections 2.2-2.4
6
 2.3: Higher-Order Derivatives
2.5: The Chain Rule
2.6: Derivatives of Trig Functions
2.7: Implicit Differentiation		 Sec. 2.3: 17-31, 41-45 (odd)
Sec. 2.5: 1-37 (odd)
Sec. 2.6: 1-19, 25-33, 37, 38, 43, 44 (odd)
Sec. 2.7: 1-15, 23-27 (odd)		 Read Sections 2.5-2.7
7
 2.8: The Mean Value Theorem
Various Applications		 Sec. 2.8: 1-7, 8, 9-19 (odd)
 Read Sections 2.7-2.8
EXAM
 Exam 2 is on Friday, October 10: The exam will cover Sections 2.1-2.8 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 Wednesday. Read Chapter 2
8
 Fall Break: No Classes on Monday and Tuesday, Oct. 13-14
3.1: Linear Approximation and Newton's Method		 Sec. 3.1: 1-9, 17-29, 33-37 (odd) Read Sections 3.1
9
 3.2: Maximum and Minimum Values
3.3: Increasing and Decreasing
3.4: Concavity
3.5: Curve Sketching		 Sec. 3.2: 1-33 (odd)
Sec. 3.3: 1-15, 29, 31 (odd)
Sec. 3.4: 1-21, 31-43 (odd)
Sec. 3.5: 1-15 (odd)
 Read Sections 3.2-3.5
10
 3.6: Optimization
3.7: Related Rates
3.8: Applied Rates of Change
4.1: Antiderivatives		 Sec. 3.6: 3-21, 31-43, 47 (odd)
Sec. 3.7: 5-17, 23-27, 31 (odd)
Sec. 3.8: 1-9, 15 (odd) 		Read Sections 3.6-3.8
EXAM
 Exam 3 is on Friday, November 7: 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 Wednesday. Read Chapter 3
11
 4.1: Antiderivatives
4.2: Summation Notation		 Sec. 4.1: 1-27, 33-49, 57 (odd)
Sec. 4.2: 1-21, 35 (odd)		 Read Sections 4.1-4.2
12
 4.3: Area
4.4: The Definite Integral		 Sec. 4.3: 5-9, 15-25, 29 (odd)
(Just do left and right endpoints, not midpoints.)
Sec. 4.4: 5-27, 41, 43, 47, 53-57 (odd)		 Read Sections 4.3-4.4
13
 4.5: The Fundamental Theorem of Calculus
4.6: Integration by Substitution		 Sec. 4.5: 1-15, 23-39 (odd)
Sec. 4.6: 1-35 (odd)		 Read Sections 4.5-4.6
14
 5.1: Area Between Curves Sec. 5.1: 1-11, 17-21 (odd) Read Sections 5.1
Thanksgiving Break: No classes, November 26-28.
STUDY ALL WEEK.....Yeah right!
Have a great and safe break!
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Tuesday, December 9
15
 5.2: Volume by Slicing
5.3: Volume by Cylindrical Shells
5.4: Arc Length and Surface Area
5.5: Projectile Motion		 Sec. 5.2: 1-9, 17-27 (odd)
Sec. 5.3: 1-31 (odd)
Sec. 5.4: 5-23, 29-33, 43 (odd)
Sec. 5.5: 1-17 (odd)		 Read Sections 5.2-5.5
Final
Exam
*** Final Exam ***
SECTION 5: Monday, December 15, 8:00-11:00 am, in class (Sturges 113)
SECTION 6: Friday, December 12, 8:00-11:00 am, in class (Sturges 106)

The Final Exam will only be partially cumulative. The only material from the midterm exams will be optimization, related rates, and graphing. The majority of the exam will be based on material that we learned after the third midterm exam. The sections covered on the final are 3.2-3.7, 4.1-4.6, and 5.1-5.5 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 Monday, December 8.
Read Chapters 3, 4, 5