CCBC Essex
Science, Mathematics and Information Technology Division
MATH 163 College Algebra for
Calculus
Section: DB1
CLASSROOM LOCATION: TA310
INSTRUCTOR: BARBARA LEITHERER
SEMESTER: Sp 2003
PHONE: (410) 780-6434
EMAIL: bleitherer@ccbcmd.edu
WEBPAGE: http://faculty.ccbc.cc.md.us/~bleither/index.htm
OFFICE: S 412
OFFICE HOURS: Mon 10-11am, Tues 9:30–10:30am and 12:00–12:30pm,
Thurs 2:10-2:40pm, Fri 8:30-9am and 10:00-10:30am
COURSE PRE-REQUISITES: ENGL 052 or LVE 2) or (ESOL 052 or LVE
2) and (RDNG 052 or LVR 2); two years of high school algebra and one year
of high school geometry and a satisfactory score on the placement exam;
or (MATH 083 or LVM 3); or MATH 101 or consent of instructor)
COURSE DESCRIPTION:
Prepares students for pre-calculus and calculus; covers factoring,
rational expressions and equations, graphs of linear equations, systems
of linear equations, matrix operations, exponential notation, radicals,
quadratic equations, inequalities, absolute value, calculator applications,
introduction to exponential and logarithmic functions, and an introduction
to right angle trigonometry.
REQUIREMENTS:
| 3 tests at a total of 275 points |
55 percent |
| Projects/quizzes/homework at a total of 100 points |
20 percent |
| FINAL (comprehensive) at a total of 125 points |
25 percent |
| Total of 500 points |
100 percent |
GRADING POLICY:
|
Grade in Percent
|
Letter Grade
|
|
90 – 100
|
A
|
|
80 - under 90
|
B
|
|
70 - under 80
|
C
|
|
60 - under 70
|
D
|
|
Below 60
|
F
|
ATTENDANCE POLICY FOR THIS COURSE: Students are expected
to attend ALL scheduled classes from the beginning through the end. Without
excellent attendance it will be extremely unlikely to successfully complete
the course. Any material missed is your own responsibility. Make-up tests
will be provided for serious matters only (serious illness, religious holidays,
or participation in official college functions). I may ask for documentation
from an employer or physician, including a phone number for verification.
If you must miss a test, you must notify me before the scheduled test,
and any make-up test must be taken within 5 working days after the original
test date to assure student progress in the course. If these conditions
are not met, your score on the test will be zero.
EQUIPMENT: TI-83, TI-83+, OR TI 89 GRAPHING CALCULATOR RECOMMENDED
TEXT: Algebra & Trig Enhanced with Graphing Utilities
by Sullivan Edition 2
Prentice Hall publisher
SPECIAL SERVICES: Students, don't wait till the last minute to
ask for help, if your grades show that you need help. There is some student
and faculty tutoring available. Interested in online tutoring? Directly
link to ELMO from my web site or follow the instructions from the attached
pages.
COMMENTS: Pagers and cell phones must be turned off during class!
(Not just set to vibrating mode)
NETWORKING:
Name of Contact:
Phone:
e-mail:
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
CALENDAR:
| Friday
Feb. 21 |
50% Refund Period Ends |
| Monday April
7 |
Last day to withdraw with W grade or Audit on transcript |
| Mon-Tues. April 14-21 |
CCBC Essex closed--Spring Break |
| Friday
May 16 |
Last day of classes |
TENTATIVE LIST OF DATED ASSIGNMENTS:
|
TIME
|
SECTIONS and CRITICAL DATES
|
| 02/03 through 02/14 |
1.5 - 1.6 and 2.1 - 2.4 |
| 12/17 through 02/28 |
4.5 and 3.1 - 3.3 |
| March 3 |
Exam 1 |
| 03/04 through 03/25 |
3.4, 4.1 - 4.4 and 4.6 - 4.8 |
| March 10 |
Project due |
| 03/27 through 04/07 |
5.1 - 5.4 |
| April 8 |
Exam 2 |
| 04/10 through 04/22 |
5.5, 5.6 (short) and 5.7 |
| 04/24 through 05/02 |
7.1, 7.2, 7.3 and 7.4 |
| April 29 |
Project due |
| May 5 |
Exam 3 |
| 05/06 through 05/13 |
6.1 - 6.5 |
| May 15 and 16 |
Review days for Final |
FINAL:
May 20, 8-10am Comprehensive Final, Section
DB1
COURSE OBJECTIVES:
Upon successfully completing the course students will be able to:
1. Produce and compare graphs of absolute value and piecewise-defined
functions. (I, IV, 1,3, 4)
2. Perform matrix operations. (I, IV, 1, 3, 4, 5)
3. Solve systems of linear equations using matrices. (I,
IV, 1, 2, 4, 6, 7)
4. Solve inequalities in one and two variables. (I, IV,
1, 4)
5. Solve absolute value inequalities in one variable. (I,
IV, 1, 4)
6. Model numerical data using quadratic functions to further
analyze data and predict values.
(I, III, IV, VI, 1, 2, 4, 6, 7)
7. Perform operations with functions. (I, IV,
1,3, 4)
8. Produce and compare graphs of exponential and logarithmic
functions. (I, IV, 1, 4)
9. Solve problems using exponential and logarithmic functions.
(I, III, IV, V, VI, 1, 2, 3, 4, 6, 7)
10. Produce and compare graphs of polynomial functions. (I, IV,
1, 4)
11. Identify the zeros of polynomial functions; apply the Fundamental
Theorem of Algebra. (I, IV, 1, 3, 4, 5)
12. Apply the Binomial Theorem to determine the coefficients of a polynomial.
(I, IV, 1, 3, 4, 5)
13. Solve rational equations. (I, IV, 1, 4)
14. Produce graphs of rational functions. (I, IV, 4)
15. Determine the sin, cos, tan, cot, sec, and csc of angles measured
in degrees. (I, IV, 1, 4, 5)
16. Solve right triangles and apply the methods to solve real-world
problems. (I, IV, V, VI, 1, 3, 4, 5, 6, 7)
17. Determine arc length and radian measurements of angles. (I,
IV, 1, 3, 4, 5)
18. Construct a solution to real world problems using problem
methods individually and in groups. (II, III, V, VI, 2, 3, 7)
19. Examine the mathematical contributions made by people from
diverse cultures throughout history. (V, 5)
20. Articulate a solution to mathematical problems. (II, 2)
21. Apply appropriate technology to the solution of mathematical
problems (IV, 4, 5);
MAJOR TOPICS:
I. Linear Functions
A. Slopes and Equations of a Line (Review)
B. Function Notation (Review)
C. Domain and Range
D. Absolute-value and Piecewise-defined Functions
II. Matrices and Systems of Linear Equations
A. Introduction to Matrices
B. Multiplication of Matrices
C. Inverses of Matrices
D. Solutions of Systems of Linear Equations in Two Variables Using
Matrices
E. Linear Systems in Three or More Variables
III. Inequalities in One and Two Variables
A. Inequalities in One Variable (Review)
B. Compound Inequalities in One Variable
C. Absolute Value Equations and Inequalities in One Variable
D. Linear Inequalities in Two Variables
E. Systems of Linear Inequalities in Two Variables
IV. Quadratic Functions
A. Quadratic Functions, Function Notation, and Their Zeros (Review)
B. Mathematical Models
C. Roots of Quadratic Equations (including Complex Roots)
V. Functions
A. Operations on Functions; Composite Functions; One-to-One Functions
B. Inverse Functions; Square Root Function
VI. Exponential and Logarithmic Functions
A. Exponential Functions
B. Applications of Exponential Functions
C. Logarithmic Functions
D. Modeling with Exponential and Logarithmic Functions
VII. Polynomial Functions
A. Power Functions
B. Polynomial Functions and Their Zeros
C. Fundamental Theorem of Algebra
D. Binomial Theorem
VIII. Rational Functions
A. Solving Rational Equations
B. Graphing Rational Functions
IX. Right Triangle Trigonometry
A. Pythagorean Theorem, Degree Measure, Special Triangles (30, 45,
60)
B. Sine, Cosine, & Tangent for Right Triangles
C. Solving Right Triangles
D. Arc Length and Radians
RATIONALE:
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.
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COLLEGE POLICIES FOR COURSE
SYLLABI
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