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# MATH 11011 - College Algebra

Level of difficulty between that of MATH 10005 and 12001. Includes factoring, equations,
inequalities, functions, graphs, exponential and logarithmic functions. This course may be
used to satisfy the LERs.

Prerequisite: A grade of C (2.0) or better in either of MATH 10005 or MATH 10035, or
appropriate placement test score; and no credit for MATH 11010 or MATH 12001.

Text: College Algebra, by Stewart, Redlin, and Watson.

Review and Extension of Basic Skills (9 days)
· Integer exponents
· Polynomials (vocabulary, addition, subtraction, multiplication)
· Factoring polynomials (2)
· Rational Expressions (2)
· Rational exponents
· 1 day for catch-up/review/preparation for GATEWAY Exam

Equations and Inequalities (10 days)
· Linear equations (can be assigned as independent/reading assignment)
· Linear applications (2)
· Linear inequalities
· Absolute value equations and inequalities (1.5)
· 1 day for catch-up/review

Graphs (5 days)
· Rectangular coordinates
· Graphs of equations (intercepts, symmetry)
· The straight line (2)
· Parallel and perpendicular lines
· Variation

Functions and their Graphs (8 days)
· Functions in general (definition, domain and range, notation, increasing/decreasing, basic graphs) (4)
· Graphing techniques (transformations) (1.5)
· Operations on functions (one full day on composition)
· Mathematical modeling
· Review/catch-up (.5)

Polynomial Functions (5 days)
· Polynomial functions (power functions, basic graphs, end behavior, multiplicities)
· Synthetic division
· Real zeros of polynomials (2)

Exponential and Logarithmic Functions (12 days)
· One-to-one functions and inverses (2)
· Exponential functions
· Logarithmic functions (2)
· Properties of logarithms
· Logarithmic and exponential equations (2)
· Applications (3)
· Review

The above schedule allows for 5 in-class exams and 2 days review for the final exam.
(Total = 56 days for fall semester.)