# MAT 14x College Mathematics Learning Objectives

### Arizona Western

Upon satisfactory completion of this course, students will be able to:
2.1 apply applications of statistical models to real-world data.
2.2 apply probability to models and experimental data.
2.3 apply financial formulas to real-world data.
2.4 apply exponential growth to real-world data.

Coconino CC

Students will:

1. Calculate annuities and loan schedules
2. Discuss the differences between simple and compound interest
3. Solve various types of growth problems including exponential
4. Solve various application problems
5. Determine the probability of an event
6. Understand the basic elements of the normal distribution
7. Calculate descriptive statistics
8. Solve problems involving optional topics

### MCCCD

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)

### Pima Community College

Student Learning Outcomes:
Upon successful completion of the course, the student will be able to:

1. Apply basic counting principles as well as elementary probability theory.
2. Apply basic descriptive and inferential statistics.
3. Solve problems involving real world applications.

Performance Objectives:
Upon successful completion of the course, the student will be able to:

1. Apply the principles of counting in problem solving situations.
2. Compute theoretical and empirical probabilities.
3. Compute the mean, median, mode and standard deviation for a data set.
4. Use statistics to analyze data.
5. Solve interest problems using interest formulas for simple, compound and continuous interest.
6. Analyze and solve problems using savings and amortization formulas.
7. Analyze and solve problems using linear and exponential growth.
8. Apply mathematical concepts to management, social science and other real world situations.

### Yavapai College

1. Create and apply linear, quadratic and exponential models. (1) (QL 1-4)
2. Apply the mathematics of personal finance, including compound interest, annuities, and amortized loans. (2) (QL 1,2,4)
3. Apply the basic rules of counting: fundamental counting principle, permutations, and combinations to solve problems. (3) (QL 1,2,4)
4. Apply basic rules of probability including compound events, conditional probability, and expected value to solve problems. (3) (QL 1,2,4)
5. Calculate and interpret graphical and numerical summaries of data, including measures of central tendency and dispersion. (4) (QL 1-4)
6. Use the basic properties of the Normal curve to solve applied problems. (4) (QL 1-4)
7. Use dimensional analysis to make conversions with metric and U.S. measurement systems. (5) (QL 1-4)