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 140, MATH&141, or MATH&146. Graphing calculator required. Prerequisite: MATH 080 or equivalent with a grade of 2.0 or higher, or appropriate score on Math Placement Test.

Course-level Learning Objectives (CLOs)
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]