MATH 095 - Liberal Arts Intermediate Algebra

5.0 Credits
Applications and algebraic techniques related to linear, quadratic, rational, and exponential functions. Not for students planning to take MATH 131, 140, or 240. Graphing calculator required. Prerequisite: MATH 080 or equivalent with a grade of 2.0 or higher, or appropriate score on math placement test.

Course Objectives
Upon successful completion of this course, students will be able to:

Recognize functional relationships presented in words, tables, graphs, and symbols. [REASON]
Represent linear, exponential, and quadratic functions and piecewise-defined functions using words, tables, graphs, or symbols. [REASON]
Model relationships using linear, exponential, and quadratic functions and piecewise-defined functions. [REASON]
Analyze a situation and describe the problem(s) to be solved. [REASON]
Formulate a plan for solving the problem. [REASON]
Use logical reasoning and mathematical knowledge to obtain and justify correct solutions. [REASON]
Summarize and interpret mathematical information which may be in oral or written formats. [REASON]
Use symbols, diagrams, graphs, and words to clearly communicate mathematical ideas, reasoning, and their implications. [COMMUNICATE]
Produce mathematically valid oral, written, and/or symbolic arguments to support a position or conclusion, using both mathematical and everyday language. [COMMUNICATE]
Use mathematical ideas and strategies to analyze relationships within mathematics and in other disciplines and real life situations. [REASON]
Transfer mathematical vocabulary and concepts to other disciplinary contexts and the real world. [COMMUNICATE]
Make connections by using multiple representations, e.g., analytic, numeric, and graphic. [REASON]
Construct mathematical models from word problems and applications. [REASON]
Accurately and efficiently perform computations with real numbers in all forms, including rational exponents (focus on square and cube roots) and scientific notation. [REASON]
Apply estimation strategies using real numbers. [REASON]
Develop and evaluate the suitability of linear models for a data set. [REASON]
Recognize and use appropriate concepts, procedures, definitions, and properties to simplify expressions and solve equations. [REASON]
Combine and simplify algebraic expressions that contain polynomials, rational expressions, radicals, or rational exponents. [REASON]
Solve various types of equations and inequalities numerically, graphically, and algebraically; interpret solutions algebraically and in the context of the problem; distinguish between exact and approximate answers. [REASON]