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# MATH 135: Precalculus: Elementary Functions (3 credits)

## Course Description

An analysis of elementary functions. A study of polynomial, rational, exponential and logarithmic functions. Topics also include graphing techniques, transformations, applications and related topics. Emphasis is placed on topics which will prove useful to students planning to take calculus and also to those who are interested in pursuing math-related careers. (3 hours lecture)

Pre-Requisite(s): Grade of “C” or better in MATH 103 or equivalent, satisfactory math placement test score, or consent of instructor.

## Student Learning Outcomes

Upon completion of the course, the student will be able to:

• Demonstrate proficiency in writing math expressions into different forms and finding the solutions to an equation and inequality using complex numbers where appropriate, by applying formal rules or algorithms.
• Use appropriate symbolic techniques (such as algebraic techniques) to analyze and solve applied problems, and in the critical evaluation of evidence.
• Interpret equations geometrically and use geometrical information to obtain the equation of lines and circles.
• Utilize function concepts.
• Draw the graphs of functions utilizing behavior information and/or transformations.
• Utilize precise mathematical language and symbols to effectively communicate mathematics in written and/or oral form and in the presentation of evidence.
• Traverse the bridge from theory to practice by using theorems related to polynomial functions and demonstrate proficiency in working with polynomial functions.
• Apply concepts and properties of the logarithm functions.
• Understand the concept of proof as a chain of inferences by doing some proofs.

## Degrees and Certificates

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