Math 224: Calculus II
Spring 2018
Section 01, CRN 991

Schedule:
MWF 11:00am-11:50am
H 11:30-12:20

Location:
Fitzelle Hall 131

Text: Calculus Early Transcendentals, by Stewart (8th edition).
Read the book!

Professor: Jonathan Brown
Office: Fitzelle Hall 260
Email: jonathan.brown@oneonta.edu
Phone: 436-3720
Office Hours: Monday 1:00-1:50, Thursday 12:30-1:20, Friday 1:00-1:50 or by appointment
Website: http://employees.oneonta.edu/brownjs/

Catalog Description: MATH 223 and 224 constitute the first two-thirds of the standard 12-credit calculus sequence, 223-224-276. Topics include functions and their graphs, limits, differentiation, integration, derivatives and integrals of the elementary functions, polar coordinates, parametric equations, infinite series.

Prerequisite: Pass Math 223 with a C or better.

Course Goals and Objectives: Math 224 continues the introduction to the Calculus of one variable. The course has two primary goals: (1) to explore the integral together with application of integration, integrability with techniques of integration, representation of functions through infinite series, polar coordinates and parametric equations; and (2) to demonstrate an understanding of the application of the derivative and the integral in exponential growth and decay problems, calculating surface area and arc length, and approximation techniques for the values of definite integrals.

Course content: We will cover Section 5.5, Chapters 6 - 8, and Chapters 10 and 11.

Grades:
Homework: 10%
Quizzes: 15%
3 in class exams: 15% each
Final: 30%

Your letter grade will be determined from the following heuristic:
A : 93 - 100
A-: 90 - 92.99
B+: 87 - 89.99
B : 83 - 86.99
B-: 80 - 82.99
C+: 77 - 79.99
C :73 - 76.99
C-: 70 - 72.99
D+: 67 - 69.99
D : 63 - 66.99
D-: 60 - 62.99
E : 0 - 59.99

Quizzes: There will be a quiz during the last 10 minutes of class on most Fridays. I will drop your lowest quiz score.

Homework: Each week I will assign two types of homework in the course: practice problems from the text, and WeBWork problems.
WebWork: Your homework grade is completely determined by WebWork problems. Here is the link the WebWork website for this course: https://webwork.oneonta.edu/webwork2/224-01-s18/
Your login id for WeBWork is your oneonta.edu username with all lowercase letters, that is the part of your email address before the '@' sign.
Your initial password is your A number (with a capital A).
Recommended Practice Problems: The practice problems will be from the text, and they will not be collected or graded. The list of practice problems can be found below. Note that the odd numbered problems have answers in the back of the book. I don't expect you to do all of the assigned problems, instead do problems from each subsection until you are completely confident that you can do the rest with little effort, accounting for the fact that the later problems are usually harder. It is essential that you do these problems in addition to the WeBWork problems. Learning, development, and growth require time and sustained effort. Most of the knowledge and skills you obtain from this course will come from the time you spend with these problems. Furthermore the quiz problems will often closely resemble (or even be copied from) the problems from the text.

Tentative Exam Schedule:
Exam 1: 2/16
Exam 2: 3/23
Exam 3: 4/20

Final Exam:
The final exam will take place Friday May 4, 11:00am - 1:30pm.
The final exam is cumulative.

Calculators: While calculators may occasionally be useful while doing the homework, they are not allowed to be used during quizzes and exams (unless you have a note from Student Disability Services).

Attendance Policy: Missing class is a very bad idea. Anyone who misses more than 25% of classes starting in week 2 may be removed from the course.

Getting Help
You are expected to spend anywhere between 6 and 12 hours per week outside of class on the material. The amount of time necessary to pass, or obtain the grade you expect, depends heavily from person to person. Typically, a student spending less than 6 hours per week outside the class should expect to earn a "C" or worse.

If you are struggling with the material, be aware that you have options:
Read the book!
(1) Struggle a bit. Part of the learning process is the internal struggle of trying to understand how all of the pieces fit together. It can be frustrating, but it can also be rewarding. If you make progress, however slow, then it is time well spent. If you feel that your time is not productive, then you should talk to me, or other students, about how you can make better use of your study time.
(2) Visit my office hours. It is part of my job to be available to help you understand the material. There is not enough time in the classroom to get everything across, and you are not expected to do it all on your own.
(3) Find alternate instructional material online. Different people have different styles, and while you might have found my way of discussing something to be confusing, there may be someone else out there who can discuss it in a away that makes sense to you. There are a number of free text books, lessons, and video lectures available online. Feel free to ask me about other sources.
(4) Visit the tutors in CADE. They have drop in tutoring for this course 3 nights a week.
(5) Talk to your fellow students who are taking or who have taken the class. Learning is a social activity; you are not expected to do it all on your own.
(6) If after availing yourself of the above options, you still find that you are struggling regularly to understand the material, find a regular tutor. If you are in this situation, you will likely have to spend significant extra time on the material to ensure a passing grade.

ADA (American with Disabilities Act): Students Diagnosed with a Disability, all individuals who are diagnosed with a disability are protected under the Americans with Disabilities Act, and Section 504 of the Rehabilitation Act of 1973. As such, you may be entitled to certain accommodations within this class. If you are diagnosed with a disability, please make and appointment to meet with Student Disability Services, 209 Alumni Hall, ext. 2137. All students with the necessary supporting documentation will be provided appropriate accommodations as determined by the SDS Office.

Emergency Evacuation Procedures: In the event of an emergency evacuation, classes meeting in this building are directed to reassemble in the IRC Lobby so that all persons can be accounted for. Complete details of the College's emergency evacuation, shelter-in-place, and other emergency procedures can be found at http://www.oneonta.edu/security/.

Tentative Schedule
Date Section Topic Suggested Textbook Problems for each Section
1/17 Introduction/Review Exercises from any section (through 5.4) for which you are rusty
1/18
1/19
5.5 Integration by substitution #1-17odd, 21-27odd, 53-59odd, 67, 69, 73, 77
1/22 6.1 Area between curves #1-13odd, 17, 19, 21, 23
1/24
1/25
6.2 Volumes #1- 11odd, 15, 17, 31, 39, 41
1/26
1/29
6.3 Volumes: the shell method #3-11odd, 15, 17, 29, 31, 37, 39
1/31 6.5 Average value of a function #1- 9odd, 13, 15, 17
2/1
2/2
7.1 Integration by parts #1, 3, 5, 9-19odd, 23, 27, 29, 57, 65
2/5
2/7
7.2 Trigonometric integrals #1-11odd, 17, 21-31odd, 55, 57, 61
2/8
2/9
7.3 Trigonometric substitution #1, 5, 9, 11, 13, 17, 19, 21, 33, 37
2/12
2/14
2/15
7.4 Partial fraction decomposition #1-11odd, 15-23odd, 29, 39, 47 49, 53
2/16 Exam 1
2/19 7.5 Strategy for integration #1, 3, 7-13odd, 25, 37, 43-51odd
2/21
2/22
7.8 Improper integrals #1, 5-13odd, 21, 27, 31, 33, 35, 41
2/23 8.1 Arc length #1, 7-15odd
2/26
2/28
8.2 Surface areas of revolution #5-13odd
3/1 11.1 Sequences #1-7odd, 13, 15, 17, 23-37odd, 53, 55, 71, 73, 75, 77
3/2
3/12
11.2 Series/geometric series #1-7odd, 15-23odd, 27-33odd, 43,45, 47, 51-57odd, 61, 81
3/14
3/15
11.3 The integral test/estimating series #3-13odd, 17-23odd
3/16
3/19
11.4 Comparison tests #1, 2, 3, 5, 7, 11, 15, 21, 25
3/21 11.5 Alternating series #1-19odd, 33
3/22
3/26
11.6 Absolute convergence/ratio and root tests #1-9odd, 13, 21, 23, 25, 35, 43
3/23 Exam 2
3/28
3/29
11.7 Strategy for testing series #1-15odd, 21, 23
3/30
4/2
11.8 Power series #1, 2, 3-15odd, 23
4/4 11.9 Representing functions as power series #3-17odd, 25
4/5
4/6
11.10 Taylor series #3-25odd, 35, 41, 53
4/9 11.11 Applications of Taylor polynomials #3-9odd
4/11
4/12
10.1 Parametric equations #1-15odd, 24, 28
4/13
4/16
10.2 Calculus with parametric curves #1-7odd, 11-19odd, 33, 37-43odd, 61
4/18
4/19
10.3 Polar coordinates #1-11odd, 15, 17, 21, 23, 29-39odd, 43, 45, 54, 55, 57, 59, 61
4/20 Exam 3
4/23 10.4 Areas and lengths in polar coordinates #1-11odd, 17-35odd, 45, 47
4/25 10.5 Conic sections #1-29odd, 33, 41, 45
4/26 10.6 Conic sections in polar coordinates #1-15odd
4/27 6.4 Work #1,5,9,11,15,19, 23, 25