MAT 115 - Mathematics for General Education
This course is designed to satisfy the SUNY General Education Requirements at the baccalaureate level. Its purpose is to enhance a student's quantitative literacy and critical thinking. The course topics illustrate the relevance of mathematics in society. Prescribed topics include analysis of propositions, assumptions and inductive and deductive arguments, the basic principles of counting, the laws of probablility and introductory descriptive and inferential statistics, modeling with functions, and financial mathematics.
Prerequisite: MAT 091 Mathematical Literacy I or MAT 093 Integrated Arithmetic and Basic Algebra, 4-credit or equivalent
3 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
1. Apply principles of counting including permutations and combinations.
2. Calculate probabilities and interpret expected values.
3. Explain the difference between a population and a sample, a parameter and a statistic.
4. Find the mean, mode, median, range, and standard deviation of a data set.
5. Construct boxplots, histograms and scatterplots.
6. Describe a normal distribution and conditions under which it can be expected.
7. Understand and apply the empirical rule for the normal distribution.
8. Distinguish between and analyze inductive and deductive arguments.
9. Use symbols of logic to work with propositions and truth values and determine the validity of an argument.
10. Use set operations and Venn diagrams to evaluate categorical propositions.
11. Describe a function in words, use function notation.
12. Describe the domain and range of a function.
13. Identify independent and dependent variables.
14. Create and use graphs of functions.
15. Identify a graph as linear or non-linear.
16. Create and use linear and non-linear models to model real-world applications.
17. Investigate risk, return, and liquidity of investments.
18. Calculate simple and compound interest.
19. Investigate annuities.
20. Calculate loan payments and credit card finance charges.
21. Investigate mortgage amortization tables.
This course prepares students to meet the Mathematics General Education requirement.
In the context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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