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.)