**Anne Arundel
Community College**

**Calculus and
Analytic Geometry II**

**Class:**** MWF @ 19:00-21:10 in
Math-204**

**Professor:** James
Freeman

**Office:**
Mathematics-231-I

**Office Hours:****
MW
@ 16:00-19:00 & TTh @ 15:00-16:00 **

**Phone:** (410)
777-2557

**Email:**
jsfreeman@aacc.edu

**Website:**
http://ola4.aacc.edu/jsfreeman/

**Course
Description:** This is a second course in the calculus. The topics include:

a) Differentiation and integration of the classical elementary functions;

b) Techniques and applications of integration;

c) Numerical integration and improper integrals;

d) Separable differential equations;

e) Infinite series, Taylor expansions and analytic functions;

f) Polar coordinates and parametric equations.

Content will include problem solving techniques using calculators and computers, including an introduction to Maple.

**
Learning Objectives:** Upon completion of this course, the student will be
able to:

(i) compute derivatives and integrals of complicated functions;

(ii) use advanced integration techniques (parts, partial fractions, substitutions);

(iii) compute numeric approximations for integrals (with error-bars);

(iv) evaluate improper integrals;

(v) solve separable differential equations;

(vi) determine convergence/divergence of infinite sequences and series;

(vii) use Taylor polynomials to approximate functions;

(viii) apply calculus to parametric and polar equations;

(ix) model phenomena with integrals and differential equations;

(x)
solve problems analytically, numerically and graphically.

**Text:** "**(Single Variable) Calculus (Early Transcendentals)**" (7th edition) by James
Stewart, Brooks/Cole, 2011/2.** **
It need not be the loose-leaf
edition available in the book store. The "Single Variable" edition (11
chapter) is all the is required for MAT-191&192. The complete 17 chapter
edition is recommended if MAT-201 is also to be taken.

**Other References: "Calculus of One Variable" by J.W. Kitchen.**
The classic text with all the proofs.

**Computer/Calculator:**
A graphing calculator is
required for the course - a TI-83+ or TI-84 recommended.
Calculators that perform symbolic manipulation, such as the TI-89 or
TI-92, may NOT be used during examinations.

**Attendance Policy:
**Regular class attendance is expected and will be recorded.
If you are absent, it is your responsibility to find out what occurred
with respect to both announcements and course work.
If you email me, I will respond with that information.
I will maintain an online version of this syllabus on my website with any changes to dates or
homework assignments.
But even one absence means a lost opportunity to learn.

**Class Activity:**
Prepare for class by reading the text (either before or after we cover the
material). If you do not understand
something, ask questions in class.
Ask questions even if it concerns material from a prior class or chapter.
Asking and answering questions is the main purpose of class.
During class we will review the major points in each chapter and solve
sample problems.

**Homework:**
Homework will consist of selected problems from the end of each chapter
section in the text. You are encouraged to do other problems for extra practice
and to ask questions about any problem with which you have difficulty.
The homework will be collected and graded.
Late homework loses 10% credit.
Your homework problem solutions should be neatly prepared (they need not
be typed), with multiple pages either stapled or otherwise bound together.
Answers to the homework are in the back of the book, so there is no reason for a
wrong answer. There is also the
Student’s Solution Manual, with explanations of the answers.
The homework will not be graded in detail, but will be reviewed for
completeness. **You must show your
work and not just give the answer.**
If you cannot do or do not understand a homework problem, ask about it in
class. Some homework may require
Maple or Excel. Do the relevant homework as soon as possible after it is
discussed in class to allow time for questions.

**Attendance will comprise
5% of your grade.**

**
Homework assignments will comprise
15% of your grade.**

**
(Notice:
**

**Examinations: **There will be three
mostly chapter specific tests and a cumulative final exam.

**The three tests will comprise 45% of your grade - 15% each.**

**The final will comprise 35% of your grade.**

The tests may not be made up (without prior approval).
If you miss a test, the total possible points that the test was worth
will be added to the total possible points that the final is worth.
Thus, if you miss a test, your final exam will be worth a larger
proportion of your course grade. I give generous partial credit when I grade, but you must show your work neatly
to earn it. It is your
responsibility to show me what you know in a neat and orderly fashion.**Do not leave the classroom
without permission during a test.**
If you do, I will collect your test and grade it based upon what you
have already finished. **Do NOT use your
cell phone during a test.**

**Grading Scale: **
90 - 100% A; 80-89% B; 70 - 79% C; 60 - 69% D; below 60% F.

**Additional Help:**
Do not hesitate to visit me during my office hours.
If my hours conflict with your free time, I will gladly arrange
additional times to meet with you. I
am in my office other times during the week so you can always stop by to see if
I am in. Additionally, free tutoring
is available in Library 111.

**Academic Integrity:
**The Anne Arundel Community College Catalog states, "All students are
required to exhibit academic honesty in all academic exercises and assignments."
This includes cheating, fabrication, facilitating academic dishonesty, and
plagiarism. The instructor has the
right and obligation to impose a reasonable academic sanction including, but not
limited to, the following:

A) Assign a failing grade for the assignment;

B) Assign a grade reduction for the course;

C) Assign a failing grade for the course;

D) Assign an alternative assessment.

I will choose ** A ** for most situations involving academic
dishonesty. Do not leave the classroom without permission during a test.
If you do, I will collect your test and grade it based upon what you have
already finished.** **
**Do NOT use your
cell phone during a test.**

**Student Conduct: **
The Anne Arundel Community College Catalog states; "All students while engaged
in college activities shall comply with all college policies and procedures.
Students shall conduct themselves in accordance with accepted standards of
behavior, respect the rights of others, refrain from conduct or activity which
obstructs the work of the college and is damaging to the welfare of the college
community or the college." It continues to describe Acts of Misconduct.

**Cell Phones: **
Put cell phones on a silent mode during class.
If you take a call, leave the room to talk.

**
Notice of Nondiscrimination:** AACC is an
equal opportunity, affirmative action, Title IX, ADA Title 504 compliant
institution. Call Disability Support Services, 410-777-2306 or Maryland Relay
711, 72 hours in advance to request most
accommodations. Requests for sign language interpreters, alternative format
books or assistive technology require 30 days' notice. For information on Anne Arundel Community College's
compliance and complaints concerning discrimination or harassment, call Kelly
Koermer, J.D., AACC's federal compliance officer, at 410-777-2607 or Maryland Relay
711.

**Schedule (All dates are tentative)
**

__Date
Assignments__

**Sep 08 First Class
(Review and Maple)**

**Sep 15 Review HW Due (A Must)**

**Sep 17
Chapter 6 Homework Due**

**Oct 06
Chapter 7 Homework Due (thru 7.4)**

**Oct 08
Examination on Chapter 6 & 7 **

** **

**Oct 27
Chapter 8 Homework Due**

**Nov 03
Chapter 9 Homework Due**

**Nov 05**** ****Examination on Chapters 8 & 9**

**Nov 17
Chapter 10 Homework Due**

**Nov 24
Chapter 11 Homework Due (Take Home)**

**
Nov 24
Examination on Chapters 10 & 11**

**
Review as time allows**

**Nov 26-27
Thanksgiving**

**Nov 20
Last day to withdraw**

**
MAT192 - Homework Assignments**

**odd numbered exercises**.
The abbreviation "eoo" stands for "every other odd" and "eto" stands for
"every third odd". For example,
"13-33 eoo" means do problems 13, 17, 21, 25, 29, 33;
"13-49 eto" means do problems 13, 19, 25, 31, 37, 43, 49.

**Calculus-I Review****Handout from MAT-191**

**The handout MUST be submitted on time. It is like an
open book test but will be graded like homework. If you need extra
practice on Calc-I problems, try doing these:**

**3.4 (Chain Rule): 7****-43 eto,
55, 69, 83**

**Applications of Integration**

**6.1: 1-43 eto****
6****.2: 1-29 eoo, 41, 57, 61**

**6.3: 1-13 eoo****,
31
6****.4: 1-13 eoo, 29 (Optional)**

**6.5: 1-7, 17 **
** **

** **

**Techniques of
Integration**

**7.1: 1-61 eto****
7****.2: 1-61 eto**

**7.3: 1-29 eoo, 35, 43****
7****.4: 1-29 eoo, 67**

**7.5: 1-61 eto****
7****.6: 1-29 eoo**

**7.7: 7-19 eoo (Excel OK)****
7****.8: 1-61 eto**

** **

**Applications of
Integration**

**8.1: 1-19 odd, 35**
**
8****.2: 1-29 eto**

**8.3:****
13, 19 (Optional)
**
**
8****.5: 1-9, 19**

** **

**Elementary
Differential Equations**

**9.1: 1-15 odd****
**
** 9.2: 1-9 odd, 27 (Excel OK)**

**9.3: 1-17 odd, 33, 39, 43****
**
** 9.4: ** **TBD**

**Maple Assignment (Handout - Optional)**

**Parametric Equations
and Polar Coordinates**

**10.1: 1-21 eoo****,
35, 43
**
**10.2: 1-25 eoo, 31, 69**

**10.3: 1-11 odd, 29-45 eoo****, 67, 69
**
**10.4: 1-21 eoo, 45, 47**

**10.5: ** **TBD**** **

** **

**Infinite Sequences,
Series and Taylor Series**

**11.1: 1-61 eto, 79, 81****
**
**11.2: 1-55 eto, 73, 77**

**11.3: 1-31 eto****
**
** 11.4: 1-31 eto **

**11.5: 1-17 eoo, 33**** ****11.6: 1-29 eoo,
35**

** **
** 11.8: 1-31 eto**

**11.9: 1-25 eoo****
**
** ****11.10: 1-49 eto**** **