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MATH 10 - COLLEGE MATHEMATICS

CATALOG DESCRIPTION:
Elementary algebra: fundamental algebraic concepts and operations, number bases, linear equations and
inequalities, functions, graphing. Intermediate algebra: study of algebra including exponents and radical,
polynomials, geometric series, rational expressions, quadratic equations, and logarithms. (3 units)

LEARNING OBJECTIVES:
The students will review the basic concepts and techniques of elementary and intermediate algebra, get
complete coverage of the function and graph concepts, and learn how to apply them. The goal is to
introduce students to problem solving and mathematical modeling using algebra and to build a solid
foundation in the principles of mathematical thinking.

INSTRUCTIONAL METHODS:
Lecture method is used in combination with the practical use of a calculator, the Internet and business
software to solve application problems. The emphasis will be on learning by doing. Every student must
participate in an intensive classroom activity. Reading, writing, and problem solving assignments will be
made throughout the course

TOPICAL OUTLINE OF THE COURSE: daily schedule of topics is attached

REQUIREMENTS:
All students are required to attend the class. Continuous assessment is emphasized. Written or oral
quizzes will be given every week. Students must complete all assignments and take all quizzes, midterm
exam and final exam ON THE DATES DUE. Plagiarism will result in the grade “F” and a report
to the administration. No computers or cellular phones will be allowed to use during tests.

GRADING:

Classroom activities every week 10%
Quizzes every week 10%
Assignments every week 30%
Mid-term exam 10th week 20%
Final exam 18th week 30%

Less than 60% total is an "F"; 75% total is "C+". Other grades will be calculated "on the curve" from the
scores above.

SPRING 2009 SCHEDULE OF TOPICS

Week
#

Topics

Chapter
#
1
1/12/09
Real Numbers. Algebra Essentials. Geometry Essentials. Polynomials.
Factoring Polynomials. Rational Expressions.
R
2
1/19/09
Martin Luther King Jr. Birthday (Holiday)  
3
1/26/09
nth Roots; Rational Exponents. R
4
2/02/09
Linear Equations. Quadratic Equations. Radical Equations; Equations Quadratic
in Form; Factorable Equations. Solving Inequalities. Equations and Inequalities
Involving Absolute Value.
1
5
2/09/09
The Distance and Midpoint Formulas. Graphs of Equations in Two Variables;
Intercepts; Symmetry. Lines. Circles. Variation.
2
6
2/16/09
President’s Day (Holiday)  
7
2/23/09
Functions. The Graph of a Function. Properties of Functions. Library of
Functions; Piecewise-defined Functions.
3
8
3/02/09
Graphing Techniques: Transformations. Mathematical Models: Building
Functions. Linear Functions and Their Properties. Building Linear Functions
from Data.
3 - 4
9
3/09/09
Quadratic Functions and Their Properties. Quadratic Models.
Inequalities Involving Quadratic Functions.
4
10
3/16/09
Review.
MIDTERM EXAM
R, 1 - 4
11
3/23/09
Polynomial Functions and Models. Properties of Rational Functions.
The Graph of a Rational Function. Polynomial and Rational Inequalities.
5
12
3/30/09
Composite Functions. One-to-One Functions; Inverse Functions.
Exponential Functions. Exponential Equations.
6
13
4/06/09
Logarithmic Functions. Properties of Logarithms. Logarithmic Equations. 6
14
4/13/09
Compound Interest. Exponential Growth and Decay Models; Newton’s Law;
Logistic Growth and Decay Models. Building Exponential, Logarithmic, and
Logistic Functions from Data.
6
15
4/20/09
Systems of Linear Equations: Substitution and Elimination. Systems of Nonlinear
Equations. Systems of Inequalities.
8
16
4/27/09
Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. 9
17
5/04/09
Review. 1 - 9
18
5/11/09
COMPREHENSIVE FINAL EXAM 1 - 9