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Mathematics & Statistics

MGF 1106 — Finite Mathematics — Syllabus

Prerequisites: C (2.0) or better in MAT 1033, or SAT Math score of 480 or better, or ACT Math score of 19 or better, or Elementary Algebra CPT score of 72 or better.

Course Description: The course follows the Math Emporium model: Students meet twice a week for 50-minute lectures and must spend 2 hours per week in the SMART Lab. The course is intended for students who do not need to take calculus as part of their major degree program. The course fulfills 3 semester hours of the Gordon Rule Computation requirement, provided a grade of C-minus or better is achieved. There are four tests plus a final exam. The final exam is cumulative and all multiple choice.

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.

[textbook]

Text: Topics in Contemporary Mathematics, 10th Edition, by Bello, Britton, and Kaul

Course Content

1. Problem Solving (optional)
1.1 Inductive Reasoning
1.2 Estimation: A Problem-Solving Tool (omit)
1.3 Graph Interpretation: A Problem-Solving Tool (optional)

2. Sets (3 weeks)
2.1 Sets: A Problem-Solving Tool
2.2 Set Operations
2.3 Venn Diagrams
2.4 The Number of Elements in a Set: A Problem-Solving Tool
2.5 Infinite Sets (omit)

3. Logic (2 weeks)
3.1 Statements
3.2 Truth Tables: A Problem-Solving Tool
3.3 The Conditional and Biconditional
3.4 Variations of the Conditional and Implications
3.5 Euler Diagrams: A Problem-Solving Tool
3.6 Truth Tables and Validity of Arguments

8. Geometry (self-guided study)
8.1 Points, Lines, Planes, and Angles (omit)
8.2 Triangles and Other Polygons
8.3 Perimeter and Circumference
8.4 Area Measure and the Pythagorean Theorem
8.5 Volume and Surface Area
8.6 Networks, Non-Euclidean Geometry, and Topology (omit)
8.7 Right Triangle Trigonometry (omit)
8.8 Chaos and Fractals (omit)

10. Counting Techniques (1 week)
10.1 The Sequential Counting Principle: A Problem-Solving Tool
10.2 Permutations
10.3 Combinations
10.4 Miscellaneous Counting Methods (omit)

11. Probability (2.5 weeks)
11.1 Sample Spaces and Probability
11.2 Counting Techniques and Probability
11.3 Computation of Probabilities
11.4 Conditional Probability
11.5 Independent Events
11.6 Odds and Mathematical Expectation

12. Statistics (1.5 weeks)
12.1 Sampling and Frequency Distributions
12.2 Measures of Central Tendency: The Mean, Median, and Mode
12.3 Measures of Dispersion: The Range and Standard Deviation
12.4 The Normal Distribution: A Problem-Solving Tool
12.5 Statistical Graphs: A Problem-Solving Tool (omit)
12.6 Making Predictions: Linear Regression(omit)
12.7 Scattergrams and Correlation (omit)

13. Your Money and Your Math
(This chapter is usually omitted due to time constraints.)
13.1 Interest, Taxes, and Discounts
13.2 Credit Cards and Consumer Credit
13.3 Annual Percentage Rate (APR) and the Rule of 78
13.4 Buying a House
13.5 Investing in Stocks, Bonds, and Mutual Funds

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