College Algebra (Part I)

Math 103A Fall, 2008

Tuesday/Thursday 10:00 – 11:50

Room: E106 4 units

INSTRUCTOR: Colleen McDonough

REQUIRED TEXT: Precalculus, 4^th Edition, Sullivan & Sullivan III.

COURSE DESCRIPTION: This course provides an in-depth coverage of functions: polynomial and rational functions, their graphs, and finding solutions and zeros of polynomial functions. Special emphasis will be placed on applications problems and the use of calculators.

STUDENT LEARNING OUTCOMES:

1. Produce and interpret graphs of functions and relations.

2. Apply techniques to solve polynomial and rational equations and inequalities.

3. Model real life situations using algebraic methods.

4. Simplify algebraic expressions using skills obtained in the course.

Academic Dishonesty: Academic dishonesty of any form will not be tolerated. Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.

CALCULATOR: A graphing calculator is required for this class. I will be demonstrating with Texas Instrument-89. I will do my best to assist with other models. TI-84 Plus SE is a good model if you have one.

PREREQUISITE: A grade of C or better in Math 154 or equivalent or appropriate skills demonstrated through the math assessment process.

MAKE-UP POLICY:

Exams and Final: Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. Without a proven medical excuse, a 10% per day penalty will be given for each day the exam is taken late. Make-up is possible if the instructor is contacted in advance and the absence is excused.

Quizzes: There are no make-ups, however, if the absence is excused, you will receive the same percentage grade on the quiz as you earn on the exam, which covers the same material.

Homework: Late homework will be accepted for partial credit up to one week from assigned date. A cumulative 20% penalty will be assessed for each day late.

GRADING POLICY:

Homework* 150 points

Quizzes 150 points

Exam #1 150 points

Exam #2 150 points

Exam #3 150 points

Final 250 points

* I will drop the lowest homework score.

Your letter grade will be based on your percentage of the 1000 possible points.

A 90-100%

B 80-89%

C 70-79%

D 60-69%

F less than 60%

LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with me. Learning disabilities will be accommodated.

REGISTRATION:

Ø You must register for this class at the Office of Admissions and

Records.

Ø The last day to drop the class with no record is Friday, October 17.

Ø The last day to drop the class for a "W" grade is Friday, November 7.

Ø After November 7, if you are enrolled you will receive some kind of

grade.

In this class, it is your responsibility to drop the class in order to avoid a grade.

TUTORING: Tutoring is available in the Math Success Center located

In A201. Tutoring hours are posted in your classroom.

The final comprehensive exam is on December 9.

Tentative Lecture Schedule for Math 103A

Date Section Topic

9/23 Introductions, Discussion of Syllabus

1.1 Rectangular Coordinates; Graphing Utilities

1.2 Graphing Equations in Two Variable

9/25 1.2 Continue

1.3 Solving Equations in One Variable Using a

Graphing Utility

1.4 Lines and Slope

9/30 1.5 Circles

2.1 Functions

Þ HW1: 1.1, 1.2, 1.3, 1.4

10/2 2.2 The Graph of a Function

Quiz #1 (Sections 1.1 - 1.5)

10/7 2.3 Properties of Functions

2.4 Linear Functions and Models

Þ HW2: 1.5, 2.1, 2.2

10/9 2.4 Linear Functions and Models (continued)

Review

10/14 Exam #1 (Sections 1.1 - 1.5, 2.1 – 2.4)

Þ HW3: 2.3, 2.4

10/16 2.5 Library of Functions, Piecewise defined

Functions

10/21 2.6 Graphing Techniques, Transformations

10/23 2.7 Mathematical Models: Constructing Functions

Þ HW4: 2.5, 2.6

10/28 3.1 Quadratic Functions and Models

Quiz #2 (Sections 2.5 – 2.7)

Tentative Lecture Schedule for Math 103A (continued)

Date Section Topic

10/30 3.2 Polynomial Functions and Models

Þ HW5: 2.7, 3.1

11/4 3.3 Properties of Rational Functions

Review for Exam #2

11/6 Exam #2 (Sections 2.5 – 2.7, & 3.1 - 3.2)

Þ HW6: 3.2, 3.3

11/11 3.4 Graphs of a Rational Functions, Variation

A4 Polynomial Division, Synthetic Division

11/13 3.5 Polynomial and Rational Inequalities

Þ HW7: 3.4, A4

11/18 3.6 The Real Zeros of a Polynomial Function

3.7 Complex Zeros: Fundamental Theorem of Algebra

Quiz #3 (Sections 3.4, A4, 3.5)

11/20 3.7 Continue

Review for Exam #3

Þ HW8: 3.5, 3.6

11/25 Exam #3 (Sections 3.4 – 3.7)

11/27 HOLIDAY

12/2 Review for Final Exam

Þ HW9: 3.7

12/4 Review for Final Exam

12/9 FINAL 11:00 am – 12:50 pm

Congratulation!! You have just completed Math 103A.

Homework Problems

Section Problems

1.1 # 40~43, 53, 60, 63, 66, 69, 74, 77, 79, 82

1.2 #11, 16, 27~38, 42, 49, 51, 58, 59, 67~69, 72, 83

1.3 #11, 13, 24, 34, 36

1.4 #35~37, 40, 44, 49, 54, 61, 67, 74, 77, 78, 110, 112

1.5 #6, 7, 12, 17, 21, 24, 25, 32, 53

2.1 #39, 41, 51, 53, 58, 60, 61, 68, 73, 78, 80, 83, 91, 98

2.2 #10, 12~18, 38, 41

2.3 #24~27, 29~32, 33, 41, 48, 63, 67

2.4 #19~24, 28, 32, 39, 41, 45, 50, 52

2.5 #9~16, 25, 26, 31, 34, 42, 45, 53, 65

2.6 #7~18, 27, 30~34, 42, 55, 56

2.7 #9, 15, 17, 18, 21, 28, 31

3.1 #14~17, 39~42, 54~57, 67, 69, 77, 87, 89

3.2 #11, 15, 24, 25, 27, 32, 34, 35, 37, 40~43, 49, 50, 53, 56, 67~69,

73, 78, 80, 91, 94

3.3 #13, 16, 20, 21, 23~28, 4343, 44, 47-49

3.4 #10, 11, 21, 25, 34, 52, 53, 55, 57, 63

3.5 #14, 22, 24, 33, 39, 43, 48, 52, 61, 65

A4 #6, 11, 16, 17, 24, 25, 30, 31, 33, 34, 36, 37, 40, 41, 43

3.6 #11, 14~16, 26~31, 33~36, 42, 45, 52, 55, 67, 70, 73, 76, 82, 83

3.7 #7, 10, 11, 16, 19~22, 25, 30, 34, 37, 42