Standard |
MAT 196 – Contemporary Mathematics
Overview course covering algebra, statistics, and mathematics of finance. Topics include: fundamental operations of algebra, sets and logic, probability and statistics, and mathematics of finance.
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Competency Areas |
Hours
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Fundamental Operations of Algebra |
Class |
5 |
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Algebra |
D. Lab |
0 |
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Sets and Logic |
P. Lab/O.B.I. |
0 |
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Probability and Statistics |
Credit |
5 |
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Mathematics of Finance |
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Prerequisite: |
Program admission level math achievement. |
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Corequisite: |
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Course Guide |
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Competency |
After completing this
section, the student will: |
Hours |
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Class |
D.Lab |
P.Lab/ O.B.I. |
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FUNDAMENTAL OPERATIONS OF
ALGEBRA |
25 |
0 |
0 |
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Algebraic expressions |
Utilize the fundamental laws of algebra to simplify algebraic expressions. |
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Equations |
Solve linear and quadratic equations. |
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Functions |
Evaluate and graph linear and quadratic functions. |
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Solve linear inequalities graphically and algebraically. |
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Systems of linear equations |
Solve systems of linear equations with two unknowns algebraically and graphically. |
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Matrices (optional) |
Solve systems of linear equations with matrices. |
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Applications |
Solve work problems involving linear and quadratic functions. |
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Solve simple linear programming problems. |
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SETS AND LOGIC
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5 |
0 |
0 |
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Sets |
Demonstrate an understanding of the concept of sets and set notation. |
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Set operations |
Find complements, unions, and intersections of sets. |
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Logic (optional) |
Utilize truth tables to find the truth values of compound statements. |
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Use Euler diagrams to determine the validity of conclusions made from one or more arguments. |
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PROBABILITY AND STATISTICS
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10 |
0 |
0 |
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Central tendency and dispersion measures |
Calculate mean and standard deviation of data. |
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Normal distribution |
Compute probabilities for normally distributed random variables. |
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Regression analysis (optional) |
Use linear regression formulas to write a linear function that best represents the relationship between two variables. |
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MATHEMATICS OF FINANCE
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10 |
0 |
0 |
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Interest |
Compute simple and compound interest. |
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Single payment |
Determine present and future values in compound interest problems. |
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Annuities |
Solve annuity problems. |
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Cost/benefit |
Define and solve problems using discounted cash flow. |
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Suggested Resources |
Suggested
Resources include textbooks shown below or most current edition.
Barnett, R.
(1981). College mathematics. San
Francisco: Dellen.
Budnick, F. S. (1988). Applied mathematics for business, economics,
and the social
sciences (3rd ed.). New York: McGraw-Hill.
Miller, C. D., et al. (1990).
Mathematical ideas (6th
ed.). Glenview, IL: Scott, Foresman.