Anne Arundel Community College

Calculus and Analytic Geometry I

MAT191 Sections 400 – Spring 2016

 

Class: TTh@19:00-21:00 in Math-102

Professor: James Freeman

Office: Mathematics 231-I

Office Hours: MW@16:00-17:00  &  TTh@16:00-19:00

Phone: (410) 777-2557

Email: jsfreeman@aacc.edu

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

 

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

a) Analyzing, graphing and modeling applications with functions;

b) limits and continuity of functions (Intermediate and Mean Value Theorems);

c) tangents, rates of change, and derivatives of functions;

d) techniques and applications of differentiation;

e) area, Riemann Sums and integrals of functions;

f) the Fundamental Theorem of Calculus.

Content will include problem solving techniques using calculators and/or computers, including an introduction to Maple, a sophisticated mathematical programming language with symbolic manipulation as well as computational capabilities.

 

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

(i) calculate limits, derivatives and integrals algebraically, graphically and numerically;

(ii) differentiate functions built from power, exponential, logarithmic and trigonometric functions;

(iii) integrate some functions built from power, exponential, logarithmic and trigonometric functions;

(iv) graph, analyze and interpret functions and their derivatives and antiderivatives;

(v) model certain applications and solve optimization and area problems.

 

Text: "(Single Variable) Calculus (Early Transcendentals)" (7th edition) by James Stewart, Brooks/Cole, 2012.  The text is often packaged with WebAssign and a Student's Solution Manual, neither of which is required for the course.

 

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

 

Computer/Calculator: Some work on a computer using Excel or Maple is optional in this course.  Computers are available in both the Mathematics building and in the library.  A graphing calculator is required for the course - a TI-84+ or TI-84-Inspire is recommended (A TI-84 or TI-83+ will suffice.).  Calculators which perform symbolic manipulation, such as the TI-89 and -92, may NOT be used on tests.

 

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 the online version of this syllabus on my website with any changes in 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.  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 the material is covered in class to allow an opportunity for questions.

 

Attendance will comprise 1% of your grade.

 

Homework assignments will comprise 12% of your grade.

(NOTICE:  You CANNOT receive an "A" if you do NO homework.)

 

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

The four tests will comprise 57% of your grade - 19% each.

 

The final will comprise 30% 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. 

 

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 the Library.

 

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 learning experience.

 

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. 

 

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: Place cell phones OUT OF SIGHT during class.  Cell phones visible during class MAY be confiscated.  If you must make or receive a call, I trust that you will leave the room to do so.  Do not use your cell phone during a test - such use may be construed as a form of academic dishonesty. 

 

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.

 

Course Schedule (All dates are tentative.)

Dates                Assignments     

 

Jan 21               First class.

Jan 28               Review Homework Due (A MUST)

Feb 04              Chapter 1 Homework Due

Feb 18              Chapter 2 Homework Due

Mar 01             Examination on Chapters 1 & 2

 

Apr 05              Chapter 3 Homework Due

Apr 07              Examination on Chapter 3

 

Apr 19               Chapter 4 Homework Due

May 03             Chapter 5 Homework Due

May 05             Examination on Chapters 4 & 5

 

                          Review and additional topics as time allows

 

May 19 (Thurs)   Final Examination (19:00-21:00)

 

Jan 26               Last day to drop with full refund

Apr 20               Last day to withdraw

Homework Assignments (odd means odd numbers only;  eoo means every other odd;  eto means every third odd)

Pre-Calculus Review, Handout from MAT-151

This MUST be submitted on time. 

 

Chapter 1: Functions and Models

1.1: 1, 3, 5, 13, 15, 23, 43, 45                         1.2: 13, 17, 23

1.3: 21, 27, 39, 45, 49                                     1.4: 13, 35

1.5: 1-5, 19, 21, 25                                          1.6: 35-37, 47, 51-54, 63-67

1.Problems(pg 80): 1, 3, 7, 16, 19

 

Chapter 2: Limits and Rates of Change

2.1: 1, 3, 5                                                       2.2: 1-9 odd, 19, 29-39 odd

2.3: 1-9 odd, 13-29 odd, 47, 54                      2.4: 1, 15, 17, 25

2.5: 1-9 odd, 17-22, 43, 44, 63                       2.6: 1, 3, 15-29 odd, 57

2.7: 1, 3, 15, 27-32                                         2.8: 1-11 odd, 21-31 odd, 35

 

Chapter 3: Derivatives and Slopes

3.1: 1-35 odd, 43, 77                                      3.2: 1-9 odd, 17, 21, 31, 33, 51

3.3: 1-19 odd, 25, 29, 31, 35, 39, 45. 55        3.4: 1-19 odd, 43, 45, 55, 69, 83

3.5: 1-19 odd, 27, 37, 47, 65, 67, 75              3.6: 1-21 odd, 27, 39

3.7: 1, 11, 15, 19, 21, 23                                3.8: 1-9 odd, 13, 19

3.9: 1, 3, 11, 21,35                                         3.10: 1, 3, 5, 11, 13, 35

3.11: 1-11 odd, 17, 31-41 odd, 51

 

Chapter 4: Applications of Differentiation

4.1: 1-9 odd, 29-39 odd, 49-59 odd                4.2: 1, 3, 9, 11, 17, 19, 31

4.3: 1-19 odd, 29-53 odd, 61                          4.4: 1-25 odd, 45, 49, 57, 76

4.5: 15-43 odd, 55                                          4.6: 1-11 odd

4.7: 5, 21, 23, 27, 29, 43, 67                          4.8: 1, 5, 17, 21

4.9: 1-49 eoo, 51                                             

 

Chapter 5: Integrals and Area

5.1: 1, 5, 13, 19                                               5.2: 1, 3, 21-27 odd

(5.1&2 May use Excel or programmable calculator or hand calculations)

5.3: 1, 7-47 odd, 64, 66                                   5.4: 1-49 odd, 71

5.5: 1-49 odd, 89