MATH 096C - Intermediate Algebra C
An examination of algebraic skills and concepts intended to prepare students for MATH 130 , MATH 150 , and MATH 165 . Algebraic, graphical, numerical, and verbal approaches are used in working with a variety of functions and their applications, including linear, polynomial, exponential, logarithmic, rational, and radical functions. Solve systems of equations. This self-paced course has no lecture and incorporates independent computer use: in order to advance through course topics, students must achieve required level of mastery. This course is intended for continuing MATH 096 self-paced students who have made suitable progress in the previous semester. Department permission is required. PREREQUISITE(S): MATH 080 with a minimum grade of C or appropriate score on the mathematics assessment test and consent of department. Assessment Level(s): AELW 940 / ELAI 990 , READ 120 , or AELR 930 / ELAR 980 . Two hours class each week.
2 semester hours
TWO EQUIVALENT CREDIT HOURS. NOT APPLICABLE TO A DEGREE OR CERTIFICATE. MAY NOT BE USED TO SATISFY DEGREE REQUIREMENTS. NOT INCLUDED IN GPA CALCULATION.
Upon completion of this course a student will be able to:
- Represent functions, including linear, quadratic, polynomial, rational, radical, exponential, and logarithmic functions, in verbal, numerical, graphical and algebraic forms.
- Use the numerical or graphical representation of a relation to determine whether the relation is a function.
- Identify and state the domain and range of a given function in both interval notation and set-builder notation.
- Apply knowledge of one-to-one functions to find inverse of a function and recognize the relationship between a function and its inverse in terms of domains, ranges, and graphs.
- Find an inverse of linear, exponential, and logarithmic functions.
- Identify linear, quadratic, exponential, and logarithmic functions, and systems of equations from their graphs.
- Solve linear, quadratic, rational, exponential, and simple radical equations, as well as systems of equations using appropriate algebraic techniques.
- Simplify rational, radical, exponential, and simple logarithmic expressions using appropriate properties.
- Graph linear, quadratic, exponential, and logarithmic functions, and systems of equations.
- Find and identify the vertex, axis of symmetry, minimum or maximum, x-intercepts, and y-intercept of a quadratic function from its symbolic representation or its graph.
- Construct solutions for real world applications using linear, quadratic, rational, logarithmic, exponential functions, and systems of linear equations.
- Use a graphing calculator to enter and graph linear, quadratic, radical, exponential, and logarithmic functions, and systems of equations and interpret and analyze the graph.
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