Download MATH 340 - Adams State University

Institutional Syllabus
___ New Course
___ Substantive Change in Existing Course
I.
Date of Last Review
__9/05________
Date of Most Recent Approval __________
Course Title
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II.
Probability and Statistics
Course Prefix/Number
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III.
MATH 340
Credit Hours
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IV.
3
Prerequisites
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V.
MATH 121 minimum grade: C.
Catalog Description
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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
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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
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Students will be able to demonstrate knowledge of, and proficiency in, the fundamental
principles of probability theory.
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Students will be able to understand how the fundamental principles of probability theory
are developed from basic probability models.
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Students will be able to understand the underlying role of probability in the structure of
mathematical statistics.
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Students will be able to demonstrate proficiency in the basic techniques of statistical
analysis and decision making.
VIII.
Content Outline
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Sample spaces and events, probability model, independence, combinatorics, Bayes’
theorem.
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Random variables and probability distributions.
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Discrete distributions including binomial, hypergeometric, Poisson.
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Continuous densities including Gamma, Exponential, Chi-Square, and Normal.
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Mathematical expectation, variance, covariance, Chebyshev’s theorem.
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Sampling distributions, central limit theorem.
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Estimation and hypothesis testing; confidence intervals; student’s t, chi-squared, and F
distributions.
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Correlation; linear, polynomial and exponential regression.
IX.
Course Procedures/Policies/Grading Scale
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Homework: Regular assignments are a component in determining the course grade.
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Exams: The course typically has three to four examinations and a comprehensive final
examination.
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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
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Miller, Irwin, and Maryless Miller. John E. Freund’s Mathematical Statistics with
Applications. 7th Ed. Upper Saddle River, NJ: Prentice Hall, 2004.
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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
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None.
XII. Additional Departmental Issues
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None.