MATH 222: 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.

Here is a printer-friendly version of the schedule.

Week Lecture Topics Supplemental Problems Reading Assignment
1
 Course Introduction
6.1: Natural Logarithm		 Sec. 6.1: 1, 3, 11-33, 39-49, 53 (odd) Read Sections 6.1-6.2
2
 6.2: Inverse Functions
6.3: Exponential Functions
6.4: Inverse Trig Functions		 Sec. 6.2: 1-21, 27-45 (odd)
Sec. 6.3: 1-13, 19-41, 45-59 (odd)
Sec. 6.4: 1-35 (odd) 		Read Sections 6.3-6.5
3
 6.5: Calculus of Inverse Trig Functions
6.6: Hyperbolic Functions		 Sec. 6.5: 1-29 (odd)
Sec. 6.6: 1-37 (odd)		 Read Sections 6.6-7.1
Exam 1 is on Friday, September 18: The exam will cover Sections 6.1-6.5 of the textbook and also will review some basic material from Calculus I. 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 have learned. We will have a review in class on Thursday.
Read Chapter 6
4
 7.1: Review of Integration
7.2: Integration by Parts
7.3: Trigonometric Techniques		 Sec. 7.1: 1-39 (odd)
Sec. 7.2: 1-37 (odd)
Sec. 7.3: 1-31 (odd)		 Read Sections 7.2-7.3
5
 7.4: Partial Fractions
Summary of Integration Techniques		 Sec. 7.4: 1-35 (odd)
Chapter 7 Review: 1-49 (odd)		 Read Sections 7.4
6
 7.6: Indeterminant Forms
7.7: Improper Integrals		 Sec. 7.6: 1-41 (odd)
Sec. 7.7: 1-33, 39-55 (odd)		 Read Sections 7.6-7.7
7
 Fall Break: No Classes on Monday and Tuesday, Oct. 12-13
9.1: Sequences		 Sec. 9.1: 1-41 (odd) Read Sections 9.1
Exam 2 is on Thursday, October 15: The exam will cover Sections 7.1-7.4 and 7.6-7.7 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 have learned. The majority of this exam is integration, but I will NOT be telling you which method to use on any given problem. To practice choosing which method of integration to use, do problems from the Chapter Review at the end of Chapter 7. They don't tell you what to do, so you will need to figure out what works best. We will have a review in class on Wednesday.
Read Chapter 7
8
 9.2: Infinite Series
9.3: Integral Test		 Sec. 9.2: 1-21 (odd), 27, 33-36, 43-45
Sec. 9.3: 1-35 (odd), 41, 43, 55-58		 Read Sections 9.2-9.3
9
 9.3: Comparison Tests
9.4: Alternating Series		 Sec. 9.4: 1-41 (odd) Read Sections 9.3-9.4
10
 9.5: Absolute Convergence and Ratio Test
Summary of Convergence Tests
9.6: Power Series		 Sec. 9.5: 1-37 (odd)
Sec. 9.6: 1-39 (odd)		 Read Sections 9.5-9.6
11
 9.7: Taylor Series Sec. 9.7: 1-37 (odd) Read Sections 9.7
12
 9.8: Applications Sec. 9.8: 1-17 (odd) Read Sections 9.8
Exam 3 is on Friday, November 20: The exam will cover Sections 9.1-9.8 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 have learned. Here is a Series Review Sheet to help you. We will have a review in class on Thursday.
Read Chapter 9
13
 10.1: Parametric Equations Sec. 10.1: 1-19, 25-47 (odd) Read Sections 10.1
Thanksgiving Break: No classes, November 25-27.
STUDY ALL WEEK.....Yeah right!
Have a great and safe break!
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Tuesday, December 15
14
 10.1: Parametric Equations
10.2: Calculus of Parametric Equations		 Sec. 10.1: 1-19, 25-47 (odd)
Sec. 10.2: 1-27 (odd)		 Read Sections 10.1-10.2
15
 10.3: Arc Length and Surface Area
10.4: Polar Coordinates
10.5: Calculus in Polar Coordinates		 Sec. 10.3: 1-25 (odd)
Sec. 10.4: 1-49 (odd), 52, 57-61
Sec. 10.5: 1-9, 15-43 (odd)		 Read Sections 10.3-10.5
Final
Exam
*** Final Exam ***
SECTION 2: Friday, December 18, 8:00-11:00 am, in class
SECTION 5: Friday, December 18, 12:00-3:00 pm, in class