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Institutional Syllabus ___ New Course ___ Substantive Change in Existing Course I. Date of Last Review __9/05________ Date of Most Recent Approval __________ Course Title • II. Probability and Statistics Course Prefix/Number • III. MATH 340 Credit Hours • IV. 3 Prerequisites • V. MATH 121 minimum grade: C. Catalog Description • VI. Application and theory of the principles of probability and statistics in the sciences and engineering. Topics include random variables, probability distributions, sampling, estimation, tests of hypothesis, and regression. Curricular Relationships • The course is required for the B.S. in Mathematics/Computer Science and the B.A. in Mathematics/Secondary Licensure. This course enhances content knowledge in the following state model content standards areas of mathematics: 2 and 3. VII. Student Learning Outcomes • Students will be able to demonstrate knowledge of, and proficiency in, the fundamental principles of probability theory. • Students will be able to understand how the fundamental principles of probability theory are developed from basic probability models. • Students will be able to understand the underlying role of probability in the structure of mathematical statistics. • Students will be able to demonstrate proficiency in the basic techniques of statistical analysis and decision making. VIII. Content Outline • Sample spaces and events, probability model, independence, combinatorics, Bayes’ theorem. • Random variables and probability distributions. • Discrete distributions including binomial, hypergeometric, Poisson. • Continuous densities including Gamma, Exponential, Chi-Square, and Normal. • Mathematical expectation, variance, covariance, Chebyshev’s theorem. • Sampling distributions, central limit theorem. • Estimation and hypothesis testing; confidence intervals; student’s t, chi-squared, and F distributions. • Correlation; linear, polynomial and exponential regression. IX. Course Procedures/Policies/Grading Scale • Homework: Regular assignments are a component in determining the course grade. • Exams: The course typically has three to four examinations and a comprehensive final examination. • Students must read literature, write a term paper, and give an in-class presentation each semester, on a topic relevant to the level and content of the course. X. Required/Recommended Readings • Miller, Irwin, and Maryless Miller. John E. Freund’s Mathematical Statistics with Applications. 7th Ed. Upper Saddle River, NJ: Prentice Hall, 2004. • Hogg, Robert V. and Elliot Tanis. Probability and Statistical Inference. 7th Ed. Upper Saddle River, NJ: Prentice Hall, 2006. XI. Issues Unique to this Course • None. XII. Additional Departmental Issues • None.