Anne Arundel Community College

Calculus and Analytic Geometry II

MAT192 Section 004 – Spring 2015

 

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.  Some work on a computer using Maple is required in this course.  Computers are available in both the Mathematics Building and in the Library. 

 

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:  You cannot receive an "A" for the course if you do not do the homework.)

 

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. Do NOT use your cell phone during a test.

 

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

 

Dec 10 (Thu)            Final Examination (19:15 - 21:15?)

 

Sep 12                       Last day to drop with full refund

Nov 26-27                 Thanksgiving

Nov 20                       Last day to withdraw   

 

 

MAT192 - Homework Assignments

 

Homework assignments to be submitted for grading include only some of the 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             5.5 (Substitution): 1-43 eto, 89

 

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