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

## Course Description

Investigates linear, quadratic, polynomial, rational, exponential, logarithmic functions, and related topics. This course is the first part of the precalculus sequence. (3 hours lecture)

Pre-Requisite(s): Grade of āCā 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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