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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 440 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 Floridaâ€™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: Topics in Contemporary Mathematics, 10th Edition, by Bello, Britton, and Kaul

Course Content

Chapter 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)

Chapter 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)

Chapter 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

Chapter 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)

Chapter 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)

Chapter 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

Chapter 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)

Chapter 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

Miscellaneous University/College Policies:

• Cheating (and other violations of academic integrity) will not be tolerated. The University policy on Violations of Academic Integrity is explained at the following website: http://www.ugs.usf.edu/catalogs/1213/pdf/AcademicIntegrityOfStudents.pdf.
• You are encouraged to take notes and may tape the lectures, but neither your notes nor your tapes are to be sold.
• All unauthorized recordings of class are prohibited. Recordings that accommodate individual student needs must be approved in advance and may be used for personal use during this semester only; redistribution is prohibited.
• Students in need of academic accommodations for a disability may consult with the Office of Students with Disabilities Services (SDS) in SVC 1133 to arrange appropriate accommodations. Students are required to give reasonable notice (typically 5 working days) prior to requesting an accommodation.
• Students who anticipate the necessity of being absent due to the observation of a major religious holiday must provide notice of the date in writing to the instructor by the second class meeting.
• Contingency Course Plan: In the event of an emergency, it may be necessary for USF to suspend normal operations. During this time, USF may opt to continue delivery of instruction through methods that include but are not limited to: Canvas, Elluminate, Skype, and e-mail messaging and/or alternate scheduling. It is the responsibility of the student to monitor the main USF website, e-mails and MoBull messages for important information about the closure. For information about the continuation of instruction, students are directed to their individual blackboard course sites.
• S-U Policy: Students who want to take this course for a grade of S-U (Satisfactory-Unsatisfactory) must sign the S-U Contract no later than the end of the third week of classes. There will be no exceptions. For further information on S-U grades, please consult the undergraduate catalog. Note: Gordon Rule Math courses cannot be taken for an S-U grade.
• “I” Grade Policy: A grade of “I” indicates incomplete work and will only be assigned when most of the coursework has already been completed with a passing grade. For further information on “I” grades, please consult the undergraduate catalog.

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