MA 487, Introduction to Mathematical Statistics
Course Description and Goals
This is a an introductory, calculus-based course in mathematical statistics. Topics include
- Review of basic probability, including probability spaces, independence, distributions and expected value
- The fundamental theorems of probability:: the law of large numbers and the central limit theorem.
- Estimation, including point estimation and interval estimates for means, variances, and proportions
- Hypothesis testing, including tests for means, variance, and goodness of fit
- Correlation and regression
- Theory of inference, including sufficiency and power.
Course goals include
- A basic understanding of the special notation, language, and point of view of inferential statistics
- A basic understanding of the major areas of inferential statistics, including estimation, hypothesis testing, and regression
- The ability to solve basic computational problems involving estimation, hypothesis testing, and regression
- The ability to model basic statistical problems in science and engineering.
- An improved ability to read, write, speak, and think in mathematical and statistical terms
MA/ST 487 also prepares the student for further study in probability and statistics
MA 201, Calculus C and either MA 385, Introduction to Probability or ISE 390.
3 Semester Hours
This course is graded A, B, C, D, F. The grade typically depends on a combination of class tests, homework assignments, quizzes, and a comprehensive final exam.