MATH 091 - Essentials of Intermediate Algebra 5 Credits An intermediate algebra course that develops understanding of functions (linear, exponential, and quadratic) as well as proficiency with simplifying expressions involving integer exponents, solving linear inequalities, and solving linear equations in two variables. GRAPHING CALCULATOR REQUIRED: TI-84 recommended.
Pre-requisite(s) MATH 081 min 2.0 Placement Eligibility Math 091 or higher Course Note Graphing Calculator Required; TI-84 recommended Fees
Quarters Typically Offered Summer Day, Evening, Online Fall Day, Evening, Online Winter Day, Evening, Online Spring Day, Evening, Online
Designed to Serve Students needing algebraic skills such as graphing formulas, using and analyzing function relationships. Active Date 20170622T08:38:34
Grading System Decimal Grade Class Limit 32 Shared Learning Environment Yes Contact Hours: Lecture 55 Lab 0 Worksite 0 Clinical 0 Other 0 Total Contact Hours 55 Degree Distributions: Course Outline
- Solving linear equations in one variable having many terms, fractional coefficients, and distributing
- Solving linear inequalities in one variable, and expressing results with graphs and interval notation
- Concept and notation of functions, domain, and range, including exposure to absolute value and piecewise functions
- Features of functions (max/min, increasing/decreasing, positive/negative, intercepts, rates of change), including using compound inequalities and interval notation to describe them
- Linear functions (concept, intercepts, slope, slope-intercept form, constructing from pairs of points, linear regression)
- Solving systems of equations in two variables by graphical estimation and the elimination method
- Exponential functions (concept, intercepts, asymptotes)
- Simplifying expressions involving integer exponents
- Division of polynomials by monomials.
- Quadratic functions (concept, constructing graphs using intercepts, vertex, and concavity, finding intercepts using the quadratic formula)
- The Pythagorean Theorem and distance formulas, including estimating and computing roots of numbers
- Emphasis on applying concepts and skills learned to situations in everyday life and other college coursework
- Emphasis on developing quantitative reasoning ability and symbolic reasoning ability
- Training in use of graphing calculator throughout course to evaluate, graph, trace, zoom, change window, and perform regression
Student Learning Outcomes Complete a variety of algebraic tasks: calculate with radicals, simplify exponential expressions, and solve linear equations, inequalities, systems of linear equations and quadratic equations.
Define the concepts of function, domain, and range, then compute and describe features of a variety of functions with an 80% accuracy.
Define,describe and compute features of linear functions and their graphs, including slope, intercepts, and slope-intercept form with an 80% accuracy.
Define, describe, and compute features of exponential functions and their graphs.
Define,describe and compute features of quadratic functions and their graphs.
Use linear, quadratic, and exponential functions to model and make statements about realistic situations.
Use a graphing calculator to graph and evaluate a varity of functions, as well as generate regression functions.
Describe and use techniques that improve learning. (This could involve organization, review strategies, notetaking, time management, etc.)
Describe reasoning on a task as well as patterns in errors..
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