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 | 10^{th} week | 20% |
Final exam | 18^{th} 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 |