Anne Arundel Community College

Introductory Analysis (Pre-Calculus)

MAT151 Section 003 – Spring 2016

 

Class: TTh@12:30-14:15 in Math-200

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 preparatory course for the calculus. The topics include:

 a) real & complex numbers, operations of arithmetic, the laws of algebra;

 b) plane analytic (coordinate or Cartesian) geometry,

 c) solving and graphing equations, inequalities and systems of equations;

 d) analysis of functions - rates of change, combinations, transformations;

 e) properties of five families of functions:  polynomial and rational functions; exponential and logarithmic functions; trigonometric functions;

 f) the classic conic sections and general quadratic equation;

 g) the concept of inductive mathematical proof and the binomial theorem.

Content will include problem solving techniques using calculators and/or computers.

 

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

(i) perform algebraic manipulations upon real and complex numbers;

(ii) solve and graph equations and inequalities;

(iii) graph and analyze elementary, composite and transformed functions;

(iv) model certain applications  and solve problems using functions;

(v) use technology to visualize functions and solve problems.

 

Text: "Precalculus" (6th Edition) by Stewart, Redlin and Watson.  It need not be the AACC customized edition available in the book store.  A supplemental CD-ROM tutorial and solutions manual is available with the textbook, although neither  is required for the course.

 

Computer/Calculator: A graphing calculator is required for the course - a TI-83+ or TI-84 is recommended.  Calculators that perform symbol manipulation, such as the TI-89 or TI-92, may NOT be used during examinations Some work on a computer is optional in this course.  Computers are available in both the Mathematics Building and 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.  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.  Do the relevant homework as soon as possible after the material is covered in class to allow time 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 not do the homework.)

 

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

The three 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)

 

Date                             Assignments

 

Jan 21                         First Class

Feb 11                         Chapter 1 & 12 Review Homework Due

Feb 25                         Chapter 2  Homework Due (Chapter 11 HW due whenever you get it done.)

Mar 01                        Examination on Chapters 1 & 2 (not 11 & 12)

           

Mar 15                      Chapter 3 Homework Due

Apr 05                       Chapter 4 Homework Due

Apr 07                       Examination on Chapters 3 & 4

 

Apr 14                        Chapters 6.1, 6.2, 6.3 Homework Due

Apr 28                        Chapters 5 & 6 All Homework Due

May 03                       Chapter 7 Homework Due

May 05                       Examination on Chapters 5  & 6 & 7

 

                                  Review Handout and Additional Topics (more Chapter 11 & 12)

 

May 19 (Thurs)        Final Examination (12:30 - 14:30)

 

Jan 26                        Last day to drop with full refund

Apr 20                        Last day to withdraw

 

Homework Assignments (Do odd numbers only for ranges from the text.)

 

Chapter 1: Fundamentals: Real Numbers and Coordinate Geometry

        1.1: 41 - 61 eoo                                                          1.2: 15 - 55 eoo

        1.3: 1 - 71 eto 101,103                                               1.4: 13 - 73 eto

        1.5: 11 - 29 odd                                                          1.6: 1, 13, 19, 51, 53, 63

        1.7: 35 - 45 odd, 117                                                  1.8: 13, 21, 31, 39, 89, 101, 103

        1.9: 1 - 49 eoo                                                            1.10: 13, 15, 25, 37, 63

 

Chapter 11: Conic Sections (extension of graphing quadratic equations)

       11.1: 1,2,3, 11-21 odd                                                 11.2: 1,2,3, 11-21

       11.3: 1,2,3, 11-21 odd

 

Chapter 12: Binomial Theorem (extension of factoring)

       12.6: 1, 5, 11-21 odd

 

Chapter 2: Functions

        2.1: 5, 15, 21, 29, 35, 39, 41, 47                                 2.2: 5, 9, 11, 17, 23, 29, 33, 43, 45, 51-55

        2.3: 21, 43, 51                                                             2.4: 1, 3, 9, 13, 17, 25, 29

        2.5: 21 - 53 eoo                                                           2.6: 5 - 13 odd, 33 - 41 odd

        2.7: 5, 7, 11, 17, 19, 21, 29, 33, 37, 41, 47, 61            Read p.218-222: 5, 13, 15, 17, 27, 29, 31

 

Chapter 3: Polynomial and Rational Functions

        3.1: 11, 15, 17, 23 - 31, 49, 53, 59, 67, 75                  3.2: 1-73 eto

        3.3: 9-23 odd, 53, 55, 59, 61                                       3.5: 15 - 55 eoo, 69, 79

        3.6: 5 - 15 odd, 35, 41, 55 - 61                                    3.7: 11 - 31 odd, 47 - 67 odd, 87

 

Chapter 4: Exponential and Logarithmic Functions

        4.1: 3 - 17 odd, 25 - 35 odd, 47 - 57 odd                     4.2: 1 - 17 odd, 21, 23, 31, 37

        4.3: 1 - 37 odd, 53 - 73 odd, 81, 83, 87                       4.4: 1 - 61 eto, 69

        4.5: 1 - 67 eto, 79, 87                                                  4.6: 1, 11, 17, 23, 27, 29, 35, 41

 

Chapter 6: Trigonometric Functions of Triangles (Degrees)

        6.1: 1 - 67 eto, 71, 73, 75                                             6.2: 1 - 45 eoo, 49, 61, 63

        6.3: 1 - 33 eoo, 45 - 61 eoo, 71                                    6.4: 1 - 25 eoo, 43

        6.5: 13 - 31 eoo, 43                                                      6.6: 1 -37 eoo, 45

 

Chapter 5: Trigonometric Functions of Circles (Radians)

        5.1: 1 - 55 eto                                                               5.2: 1 - 43 eto

        5.3: 1 - 49 eoo, 67 - 75, 77                                           5.4: 1 - 55 eto, 57

        5.5: 1 -45 eoo                                                               5.6: 31, 33, 39, 47

 

Chapter 7: Analytic Trigonometry (Radians)

        7.1: 1 - 73 eto, 91, 101                                                7.2: 1 - 49 eto, 69, 37

        7.3: 1 - 91 eto, 107                                                      7.4: 7 - 55 eto, 59  

        7.5: 1 - 61 eto, 65