• College Mathematics Course Content

    Official Course Competencies

    1. Distinguish between a subset and a proper subset. (I) 
    2. Use Venn diagrams to solve applied problems involving the union, intersection, and complement of sets. (I) 
    3. Distinguish between experimental and theoretical probability, and use each to solve applied problems. (II) 
    4. Use conditional probability to solve applied problems involving dependent events. (II) 
    5. Use probabilities to calculate odds, either in favor of or against a particular event, and vice versa. (II) 
    6. Solve probability problems involving combinations and permutations. (II) 
    7. Organize, analyze, and display data using multiple representations. (III) 
    8. Calculate and interpret measures of central tendency and dispersion. (III) 
    9. Calculate and interpret measures of location (percentiles and quartiles). (III) 
    10. Solve applications using the normal distribution. (III) 
    11. Solve applications involving loans and amortizations. (IV) 
    12. Solve applications involving annuities. (IV) 
    13. Calculate the annual interest rate given the annual yield and vice versa. (IV) 
    14. Solve real-life problems using exponential growth. (IV) 
    15. Use appropriate formulas and units of measure for composite geometric shapes and figures from real life problems. (V) 
    16. Apply unit analysis skills to solve applied problems. (V) 
    17. Use dimensional analysis to convert units of measurement between different systems. (V) 
    18. Use written and verbal communication to describe process and results. (I-VI) 
    19. Model and solve real-world problems. (I-VI)


    Official Course Outline


    I. Set Theory 

       A. Venn diagrams 
       B. Set operations

    II. Probability A Experimental vs. theoretical probability 

       B. Conditional 
       C. Odds 
       D. Permutations and combinations 

    III. Statistics 

       A. Descriptive 
       B. Normal distribution 
       C. Percentiles and quartiles 

    IV. Finance 

       A. Annuities 
       B. Simple vs. compound interest 
       C. Exponential growth 
       D. Loans 
       E. Rates vs. Yield 

    V. Geometry 

       A. Perimeter/area/volume 
       B. Unit conversions 

    VI. Additional Topics-Departments may include one or more of the following topics in the course 
       A. Logic 
       B. Numeration systems 
       C. Inferential statistics 
       D. Voting theory 
       E. Math of music 
       F. Index numbers 
       G. Graph theory 
       H. Geometry topics 
          1. Symmetry 
          2. Tessellations 
          3. Fractals 

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