College Algebra | |||
COLL ALGEBRA | |||
CLASS CODE: | MATH 110 | CREDITS: 3 | |
DIVISION: | PHYSICAL SCIENCE & ENGINEERING | ||
DEPARTMENT: | MATHEMATICS | ||
GENERAL EDUCATION: | This course fulfills a General Education - Math requirement. | ||
DESCRIPTION: | Functions, polynomials, theory of equations, exponential and logarithmic functions, matrices, systems of linear equations, sequences & series. This class may be taken in the same semester with Math 111. | ||
TAUGHT: | Winter, Summer, Fall | ||
CONTENT AND TOPICS: | Basic Concepts: Properties of the real-number system, manipulations of algebraic expressions, the solution of equations and inequalities, and the solution of applied problems. Functions: Representation of functions using graphical, numerical, and algebraic methods. Function notation, domains, ranges, symmetry, translations, and modeling application problems. Types of functions such as polynomial, rational, logarithmic, and exponential. Systems of Equations: Writing and solving simple linear and non-linear systems Additional Concepts - - Additional topics are treated at the discretion of each instructor depending on the time available. These topics include but are not limited to: matrix algebra, conic sections, and combinatorics. |
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GOALS AND OBJECTIVES: | 1. Review the basic skills needed to solve linear, quadratic and absolute value equations. 2. Graph linear, quadratic and absolute value functions. 3. Solve rational and polynomial inequalities, make the connection between graphs of functions and solutions in interval notation. 4. Show proficiency with polynomials (degree, coefficients, and roots or zeros) and demonstrate confidence using synthetic division. 5. Graph rational functions. 6. Understand the rules of logarithms and use them to solve equations, to graph logarithmic functions, and to solve exponential growth or decay problems. 7. Understand matrix operations, and use matrices to solve systems of equations. 8. Develop skill with sequences and series. Emphasize the Binomial Series. |
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REQUIREMENTS: | Students are required to purchase their own text and a graphing calculator. Students must attend class, complete homework, take written examinations, participate in student board work, write lesson plans, and complete other assignments as determined by their instructor. | ||
PREREQUISITES: | Two years of high school algebra or Math 101 with a grade of "B" or higher. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra II and will be offered during the first week of class. A practice exam is available on the web. | ||
OTHER: | Instructors use calculators in varying degrees. Some demonstrate with them each day while others refer to them only occasionally. All instructors expect students to know how to process the math by hand as well as with the calculator. | ||
EFFECTIVE DATE: | August 1986 |