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Dec 06, 2024
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2021-2022 College Catalog [ARCHIVED CATALOG]
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MAT 142 - Topics in College Mathematics [SUN# MAT 1142] 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods
Survey of mathematical topics and applications. Includes application of probability, statistics, finance, and growth models.
Prerequisite(s): Within the last three years: MAT 092 with a C or better or completion of module 25 in MAT 089A or MAT 089B or required score on the Mathematics assessment exam. Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.
Course Learning Outcomes
- Calculate and interpret empirical and theoretical probability, applications with counting, and expected value of events.
- Identify and apply concepts of data collection and basic descriptive statistics topics.
- Use the standard normal distribution to solve application problems with normally distributed data.
- Model data using linear and exponential equations.
- Solve financial problems related to simple interest, compound interest, annuities, and loans.
- Solve problems involving real world applications that include working with percentages, basic geometry, proportional reasoning, and dimensional analysis.
Outline:
- Probability
- Principles of counting
- Multiplication principle
- Repetition
- Permutations
- Combinations
- Probability Model
- Experimental vs theoretical
- Sample Space
- Events
- Joint probabilities
- Dependent events
- Independent events
- Conditional Probability
- Expected value
- Statistics
- Data characteristics
- Measures of central tendency
- Measures of variation
- Percentiles
- Normal Distribution
- Linear Regression
- Linear regression model
- Correlation coefficient
- Collecting Data
- Sampling Method
- Experimental Research and Design
- Finance
- Interest
- Simple
- Compound
- Continuous
- Annuities
- Loans
- Modeling Growth
- Linear Applications
- Exponential Applications
- Problem Solving
- Multiple methods for approaching problem solving
- Dimensional Analysis
- Converting Simple units (English, metric, currency) and applications
- Converting Compound units – i.e. yd³, ft/sec etc. and applications
- Percentages
- Percent Increase
- Percent Decrease
- Applications of percentages
- Proportional reasoning
- Proportional relations
- Applications of proportional relations
- Geometry
- Perimeter, area, and volume formulas
- Basic shapes
- Irregular shapes
- Applications
- Optional Topics
- Logic
- Voting theory and apportionment
- Graph theory
- Mathematics and Art
- Fair division
Effective Term: Full Academic Year 2021/2022
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