CCBC Essex Mathematics and Science Division

MATH 163 College Algebra Section: EMB

CLASSROOM LOCATION: F201 Semester: Spring 2008

TEXT(S): Math 163/165 Custom Edition for CCBC Essex Sullivan & Sullivan

Pearson/Prentice Hall Publishers

Instructor: Xianghao Cui Meeting times: TR 11:00 – 12:35

Phone: (410)780-6359 Email: xcui@ccbcmd.edu Office: F421

WEBPAGE: http://faculty.ccbcmd.edu/~xcui/xcui.html

Office hours: M 10:00 – 11:00, 1:00 – 2:00

T 10:00 – 11:00

W 10:00 – 11:00, 1:00 – 2:00

AND BY APPOINTMENT

Course Pre-requisites:. Prerequisites: (Rdng 052 or LVR2) and (Engl 052 or LVE 2) or (ESOL 052 or LVE 2) and Algebra I and II in high school and a satisfactory score on the placement exam; or (Math 083 or LVM 3) or consent of instructor.

COURSE DESCRIPTION

Explores the nature and scope of college mathematics through the study of functions. Topics include the study of polynomial, rational, radical, piece-wise defined, and absolute value functions and their graphs and applications as well as modeling with these functions. Additional topics include complex numbers, the binomial theorem, inverse functions, operations with functions, exponential and logarithmic functions and their graphs and applications.

Exam: There will be three one-hour exams during the semester (TBA), in addition to the final. Make-up Exams will not be given except under very unusual circumstances.

Quizzes: Quizzes will be given every Thursday. Quizzes are based on the homework assignments. The lowest of quiz grades will be dropped. There will be no quiz make-ups.

Homework: The list of assignments is an overall guideline for the course. Although homeworks will

not be collected, it is extremely important that you keep pace with the assignments. Try

to solve problems as many as you can.

Attendance: You are expected to attend all scheduled classes. It is extremely important that you come to class in order keep up with the material and to understand my expectations.

Grades: Quizzes 15%

Three hourly exams 60% (20% for each exam)

Final 25%

90 – 100 A

80 – 89 B

70 – 79 C

60 – 69 D

Under 60 F

CALENDAR:

Classes BEGIN	January 28
50% refund ends	February 15
Last day to withdraw with “W” or change to audit	April 16
SPRING RECESS - NO CLASSES	March 21-28
Last day of Spring Semester Classes	May 10
FINAL EXAMS	May 11-17

Math 163 EMB Homework Spring 2008

Ideally, you should attempt every problem after the corresponding section was covered. Although homework will not be collected, it is extremely important that you keep pace with the assignments, try to solve as many problems as you can.

(eoo = every other odd)

1.1 35, 37, 39, 55, 57, 59, 71 – 77 odd, 79 – 89 odd (find the x and y intercepts only)

1.2 9 – 15 odd, 29, 31, 37, 39, 43, 57, 61, 65, 69

1.3 11, 15, 19, 23, 29, 31, 33, 35, 39, 45, 49, 53, 55, 63, 69, 73, 75, 77, 79

1.4 9, 11, 19, 21, 23, 27, 31, 53, 55, 57, 59, 63, 65

1.5 11, 13, 15, 17, 25, 31, 39, 49, 55, 79 – 87 odd, 97

1.6 7 – 15 odd, 21, 23, 25, 27

1.7 11, 13, 15, 23 – 37 odd, 53 – 101 eoo

1.8 7, 11, 19, 23, 25, 33, 41, 45, 53, 61, 65, 73

2.1 7, 9, 15 – 27 odd, 33 – 47 odd

2.2 15 – 23 odd, 39, 41, 51, 55, 57, 61, 65

2.3 9 – 23 odd

2.4 11 – 27 odd, 33, 35, 53, 55

TEST 1

2.5 31, 41, 51, 53, 55

2.6 9 – 16, 25 – 31 odd, 45

2.7 7 – 19, 21 – 29 odd, 35 – 61 odd

2.8 3, 5

3.1 11 – 18, 35, 37, 39, 41, 43, 53, 55

3.2 11 – 25 odd, 35 – 55 odd, 57 – 77 eoo (a- c only)

3.3 11 – 23 odd, 41 – 51 odd

3.4 7 – 25 odd

3.5 3 – 27 odd, 35 – 51 odd

3.6 11 – 31 odd, 39 – 45 odd

3.7 7 – 27 odd, 31, 33

TEST 2

4.1 29 – 41 odd

4.2 9 – 51 odd

4.3 11 – 19 odd, 29 -36, 75 – 79 odd

4.4 9 – 47 odd, 111 – 117 odd

4.5 7 – 21 odd, 31 - 43 odd, 51 – 71 odd

4.6 5 – 15 odd, 23, 25, 29, 35

4.7 3, 5, 7, 13, 15, 17, 27, 29, 33, 35, 39

4.8 1 – 11 odd

TEST 3

REVIEW and Final Exam

COURSE OBJECTIVES

Upon successfully completing the course students will be able to:

1. Produce and compare graphs of absolute value and piecewise-defined functions;
2. Solve inequalities in one and two variables;
3. Solve absolute value inequalities in one variable;
4. Identify domain and range of functions;
5. Produce and compare graphs of functions, using translations, symmetry, end behavior, and asymptotes;
6. Combine two or more functions using addition, subtraction, multiplication, division, or functional composition;
7. Identify the inverse of a given function;
8. Identify the function, given information about the function;

9. Model numerical data using quadratic functions to further analyze data and predict values;

10. Perform operations with functions;
11. Produce and compare graphs of exponential and logarithmic functions;
12. Solve problems using exponential and logarithmic functions;
13. Produce and compare graphs of polynomial functions;
14. Identify the zeros of polynomial functions; apply the Fundamental Theorem of Algebra;
15. Identify the equation of a polynomial using the Theory of Equations and given sufficient information about its zeroes;
16. Apply the Binomial Theorem to determine the coefficients of a polynomial;
17. Solve rational equations;
18. Produce graphs of rational functions;
19. Construct a solution to real world problems using problem methods individually and in groups;
20. Examine the mathematical contributions made by people from diverse cultures throughout history. (V, 5)
21. Articulate a solution to mathematical problems; and
22. Apply appropriate technology to the solution of mathematical problems.

Major Topics

I. Absolute value equations and inequalities

a. Absolute value equations

b. Absolute value inequalities

II. Functions

c. Review domain, range, functional notation

d. Modeling data with linear regression function

e. Review quadratic functions and their graphs

f. Graphing techniques using shifting/stretching techniques

g. Absolute value and piecewise defined functions and their graphs

III. Polynomial Functions

h. Graphs of polynomial functions

i. Zeros of polynomial functions

j. Complex numbers and theory of equations

k. Fundamental Theorem of Algebra

l. Modeling with polynomial functions

IV. Binomial Theorem

m. Expanding a binomial

n. Finding a term in a binomial expansion

V. Rational Functions and Radical Functions

o. Graphs of rational functions

p. Graphs of radical functions

q. Equations and inequalities of rational and radical functions

VI. Combinations of Functions

r. Arithmetic operations on functions

s. Composition of functions

t. One-to-one functions

u. Inverse functions

VII. Exponential and Logarithmic Functions

v. Definition and graphs of exponential functions

w. Definition and graphs of logarithmic functions

x. Properties of logarithms

y. Solving exponential and logarithmic equations

z. Applications of exponential and logarithmic functions

aa.

Rationale (Instructor’s statement relating course content to student’s personal and academic growth, etc.)

College Algebra for Calculus is the first course in the Calculus track. The students will be introduced to the basics of linear and quadratic equations and inequalities, basic polynomial and rational functions, transcendental functions, systems of equations and basic matrix operations. This course is a pre-requisite for Pre-Calculus and will lay the ground work for the more intensive topics covered in that course.

Attendance policy

Attendance at each class and lab is essential. Please be on time. Students with a legitimate problem about attendance should discuss the situation with their instructor.

NOTE: The deadline for withdrawing from a course or changing to an audit for the Spring 2006 semester is April 19, 2006. Failure to officially withdraw from a class you have stopped attending may result in an "F" grade.

COURSE REPEAT POLICY

Policy on Repeated Courses, page 194 of the 2004-2006 CCBC catalog states, “Students may repeat a course only once without permission. When a student repeats a course, only the higher grade is computed into the Quality Point Average (QPA). All grades will remain on the student’s transcript. Before a student is permitted to register for the course for a third time, the student must have the permission of the academic dean responsible for the course. Before a student may repeat a developmental course that he or she has failed twice, the student’s record must be reviewed by a support team which will make recommendations regarding enrollment.” Please note: The instructor does not have the authority to grant permission to register for a third attempt at the course.

Disabled Students

In accordance with the Americans with Disabilities Act, CCBC is committed to providing an environment that is conducive to learning for all students. Any student who is disabled and requires special accommodation should contact the appropriate campus as follows:

Campus:	Office:	Room:	Phone:
Catonsville	Office of Disabilities Support Services	K-200	410-455-4382
Dundalk	Office of Career and Life Planning	A-100	410-285-9774
Essex	Office of Special Services	A-210	410-780-6878

Code of Academic Integrity For the College to make its maximum contribution as an institution of high learning, the entire college community must uphold high standards of integrity, honesty, and ethical behavior. In seeking the truth, in learning to think critically, and in preparing for a life of constructive service, honesty is imperative. Each student has a responsibility to submit work that is uniquely his or her own, or to provide clear and complete acknowledgement of the use of work attributable to others. To these ends, the following actions are expected of students:

· Complete all work on exams without assistance.

· Follow the professor’s instructions when completing all class assignments.

· Ask for clarification when instructions are not clear.

· Report to the instructor any unauthorized information related to an exam.

· Provide proper credit when quoting or paraphrasing.

· Submit only one’s own work.

Students who do not accept responsibility for the integrity of their own work will experience sanctions, including a written reprimand, failure of the assignment, failure of the course, and/or dismissal from the program. For repeat and extreme offenses, the College reserves the right to suspend or expel students.

Writing Policy

The College recognizes that clear, correct, and concise use of language is characteristic of an educated person. Therefore, whenever possible, faculty members in all disciplines should require written assignments in their courses in order to encourage effective writing by their students. Also, instructors should consider the quality of writing in determining a grade for a written assignment. Poor writing can be a sufficient cause for a failing grade on a paper and, in extreme cases, a failing grade in a course.

TUTORING SERVICES

Students are encouraged to seek help from their instructors whenever they encounter academic difficulty (either during scheduled office hours or by appointment). In addition, each campus offers free academic support services.  For more information, contact:

Campus:	Office:	Room:	Phone:
Catonsville	Tutoring Services	F-200	410-455-4420
Dundalk	Tutoring Services	CAR-530	410-285-9877
Essex	Student Success Center	A-307	410-780-6820

CIVILITY AND COMMUNITY BUILDING EXPECTATIONS

As members of the CCBC community of learners, we are expected to act with respect, honesty, responsibility and accountability. Each of us is expected to be aware of the impact our behavior has on the community. CCBC wishes to each learner to commit to the following actions:

• Become an active and engaged learner

• Celebrate the richness of our diversity

• Respect the campus and its code of conduct

• Practice empathy and compassion

• Promote the empowerment of others