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Mathematics & Statistics

# MAC 1105 — College Algebra — Syllabus

Prerequisites: C (2.0) or better in MAT 1033, or SAT Math score of 490 or better (2015 or earlier), or SAT Math score of 520 or better (2016 or later), or ACT Math score of 21 or better, or MTH Basic Algebra placement test score of 12 or better, or Elementary Algebra CPT score of 90 or better, or College-Level Math CPT score of 40 or better.

Course Description: The course follows the Math Emporium model: Students meet twice a week for 50-minute overview sessions and must spend 2 hours per week in the SMART Lab. Successful completion of the course merits 3 semester hours of credit and provides sufficient background for either Precalculus or non-trigonometric Calculus. There are four tests plus an optional final exam.

Foundations of Knowledge & Learning: This course is part of the University of South Florida's Foundations of Knowledge and Learning (FKL) Core Curriculum. It is certified for Mathematics and Quantitative Reasoning and will meet the following four dimensions: Critical Thinking, Inquiry-based Learning, Scientific Processes, and Quantitative Literacy. Students enrolled in this course will be expected to participate in the USF General Education assessment effort. This might involve answering questions that measure quantitative reasoning skills (but are not directly related to the course), responding to surveys, or participating in other measurements designed to assess the FKL Core Curriculum learning outcomes.

Text: Precalculus: A Unit Circle Approach, 3rd Edition, by Ratti, McWaters, and Skrzypek

Course Content

1. Graphs and Functions (4 weeks)
1.1 Graphs of Equations
1.2 Lines
1.3 Functions
1.4 A Library of Functions
1.5 Transformations of Functions
1.6 Combining Functions; Composite Functions
1.7 Inverse Functions

2. Polynomial and Rational Functions (4 weeks)
2.2 Polynomial Functions
2.3 Dividing Polynomials and the Rational Zeros Test
2.4 Rational Functions
2.5 Polynomial and Rational Inequalities
2.6 Zeros of a Polynomial Function (omit)
2.7 Variation

3. Exponential and Logarithmic Functions (4 weeks)
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Rules of Logarithms
3.4 Exponential and Logarithmic Equations and Inequalities
3.5 Logarithmic Scales; Modeling (omit)

7. Systems of Equations and Inequalities (2 weeks)
7.1 Systems of Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables (omit)
7.3 Systems of Inequalities
7.4 Matrices and Systems of Equations (omit)
7.5 Determinants and Cramer's Rule (omit)
7.6 Partial-Fraction Decomposition (omit)
7.7 Matrix Algebra (omit)
7.8 The Matrix Inverse (omit)