# MATH 143 College Algebra*

This course includes fundamental concepts of Algebra; equations and inequalities; functions and graphs; polynomial, rational, exponential and logarithmic functions; systems of equations and inequalities; the Binomial Theorem. Credit hours are not granted in both MATH 143 and MATH 147.

### Credits

### Prerequisite

CSI Self Placement Completion### General Education Competency

GEM Mathematical Ways of Knowing## MATH 143College Algebra*

Please note: This is not a course syllabus. A course syllabus is unique to a particular section of a course by instructor. This curriculum guide provides general information about a course.

## I. General Information

### Department

Mathematics & Engineering

## II. Course Specification

### Course Type

### General Education Competency

### Credit Hours Narrative

### Prerequisite Narrative

### Grading Method

### Repeatable

## III. Catalog Course Description

This course includes fundamental concepts of Algebra; equations and inequalities; functions and graphs; polynomial, rational, exponential and logarithmic functions; systems of equations and inequalities; the Binomial Theorem. Credit hours are not granted in both MATH 143 and MATH 147.

## IV. Student Learning Outcomes

Upon completion of this course, a student will be able to:

- Analyze real-world questions and mathematically structure strategies to model the questions.
- Correctly provide solutions to the models of the questions
- Communicate the solutions to the questions when analyzed and solved mathematically.

## V. Topical Outline (Course Content)

Linear equations (solve all types, simple to complex, model data and solve application problems) Formulas (solve problems using formulas, isolate a specified variable) Quadratic equations (solve by factoring, by taking square roots, by completing the square, using the quadratic formula, solve application problems) Solve other types of equations (polynomial, radical, absolute value, equations that are quadratic in form, equations with rational exponents) Inequalities with one variable (graph and solve linear, compound, absolute value, quadratic and rational inequalities) Lines (find slope, graph, write equation, model data, use idea of parallel and perpendicular) Circles (equation, center, radius, graph, convert equation to standard form) Functions (definition, domain, range, zeros, use vertical line test, evaluate, intervals for increasing and decreasing, odd, even, symmetry, model data) Graph and analyze common functions (quadratic, cubic, square root, absolute value, reciprocal, piece-wise, greatest integer) Transformations and combinations of functions (vertical shifts, horizontal shifts, reflections, vertical stretching and shrinking, add, subtract, multiply, divide, composition, inverse) Quadratic functions (graph, standard form, vertex, intercepts, model data, solve application problems) Polynomial functions (end behavior, leading coefficient test, graph, Remainder Theorem, Factor Theorem, find all zeros) Rational functions (vertical asymptotes, horizontal asymptotes, slant asymptotes, intercepts, graph, solve application problems) Variations (direct, inverse, joint, combined) Conic sections (analyze and graph ellipses, hyperbolas and parabolas, find vertices, foci, axis of symmetry, directrix, eccentricity, and asymptotes as applicable, model data and solve application problems) Exponential functions and equations (evaluate, graph, transform, solve equations, model data and solve application problems) Logarithmic functions and equations (log notation, properties of logs, evaluate, graph, solve log equations, change bases, model data and solve application problems) Systems of equations (linear equations in two variables, linear equations in three variables, nonlinear equations in two variables, application problems) Systems of inequalities (linear, nonlinear, linear programming) Binomial theorem (expand binomial raised to a power, find one specified term)