# MATH 11011 - College Algebra

**Catalog Information:**

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)

· Square roots, radicals

· 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)

· Quadratic equations (2)

· Other types of equations (quadratic type, radical, higher degree factorable)

· Linear inequalities

· Quadratic inequalities (1.5)

· 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)

· Quadratic functions

· 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.)