MAT 142RQ - Topics in College Mathematics

1. Calculate and interpret empirical and theoretical probability, applications with counting, and expected value of events.
2. Identify and apply concepts of data collection and basic descriptive statistics topics.
3. Use the standard normal distribution to solve application problems with normally distributed data.
4. Model data using linear and exponential equations.
5. Solve financial problems related to simple interest, compound interest, annuities, and loans.
6. Solve problems involving real world applications that include working with percentages, basic geometry, proportional reasoning, and dimensional analysis.

1. Probability 
   1. Principles of counting
      1. Multiplication principle
      2. Repetition
      3. Permutations
      4. Combinations
   2. Probability Model
      1. Experimental vs theoretical
      2. Sample Space
      3. Events
   3. Joint probabilities
      1. Dependent events
      2. Independent events
      3. Conditional Probability
   4. Expected value
2. Statistics
   1. Data characteristics
      1. Measures of central tendency
      2. Measures of variation
      3. Percentiles
      4. Normal Distribution
   2. Linear Regression
      1. Linear regression model
      2. Correlation coefficient
   3. Collecting Data
      1. Sampling Method
      2. Experimental Research and Design
3. Finance
   1. Interest
      1. Simple
      2. Compound
      3. Continuous
   2. Annuities
   3. Loans
4. Modeling Growth
   1. Linear Applications
   2. Exponential Applications
5. Problem Solving
   1. Multiple methods for approaching problem solving
   2. Dimensional Analysis
      1. Converting Simple units (English, metric, currency) and applications
      2. Converting Compound units – i.e. yd³, ft/sec etc. and applications
   3. Percentages
      1. Percent Increase
      2. Percent Decrease
      3. Applications of percentages
   4. Proportional reasoning
      1. Proportional relations
      2. Applications of proportional relations
   5. Geometry
      1. Perimeter, area, and volume formulas
         1. Basic shapes
         2. Irregular shapes
         3. Applications
6. Optional Topics
   1. Logic
   2. Voting theory and apportionment
   3. Graph theory
   4. Mathematics and Art
   5. Fair division