MATH 10 - COLLEGE MATHEMATICS
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)
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.
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
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.
|Classroom activities||every week||10%|
|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
SPRING 2009 SCHEDULE OF TOPICS
|Real Numbers. Algebra Essentials. Geometry
Factoring Polynomials. Rational Expressions.
|Martin Luther King Jr. Birthday (Holiday)|
|nth Roots; Rational Exponents.||R|
|Linear Equations. Quadratic Equations. Radical
Equations; Equations Quadratic
in Form; Factorable Equations. Solving Inequalities. Equations and Inequalities
Involving Absolute Value.
|The Distance and Midpoint Formulas. Graphs of
Equations in Two Variables;
Intercepts; Symmetry. Lines. Circles. Variation.
|President’s Day (Holiday)|
|Functions. The Graph of a Function. Properties of
Functions. Library of
Functions; Piecewise-defined Functions.
|Graphing Techniques: Transformations.
Mathematical Models: Building
Functions. Linear Functions and Their Properties. Building Linear Functions
|3 - 4|
|Quadratic Functions and Their Properties.
Inequalities Involving Quadratic Functions.
|R, 1 - 4|
|Polynomial Functions and Models. Properties of
The Graph of a Rational Function. Polynomial and Rational Inequalities.
|Composite Functions. One-to-One Functions;
Exponential Functions. Exponential Equations.
|Logarithmic Functions. Properties of Logarithms. Logarithmic Equations.||6|
|Compound Interest. Exponential Growth and Decay
Models; Newton’s Law;
Logistic Growth and Decay Models. Building Exponential, Logarithmic, and
Logistic Functions from Data.
|Systems of Linear Equations: Substitution and
Elimination. Systems of Nonlinear
Equations. Systems of Inequalities.
|Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series.||9|
|Review.||1 - 9|
|COMPREHENSIVE FINAL EXAM||1 - 9|