**Section:**101

**Term:**SP 2009

**Subject:**Mathematics (MATH)

**Department:**LSA Mathematics

**Background and Goals: ** This course introduces students to useful and interesting ideas of the mathematical theory of probability and to a number of applications of probability to a variety of fields including genetics, economics, geology, business, and engineering. The theory developed together with other mathematical tools such as combinatorics and calculus are applied to everyday problems. Concepts, calculations, and derivations are emphasized. The course will make essential use of the material of MATH 116 and 215.

**Content:** Topics include the basic results and methods of both discrete and continuous probability theory: conditional probability, independent events, random variables, jointly distributed random variables, expectations, variances, covariances. Different instructors will vary the emphasis.

**Alternatives:** MATH 525 (Probability Theory) is a similar course for students with stronger mathematical background and ability.

**Subsequent Courses:** STATS 426 (Intro. To Math. Stat.) is a natural sequel for students. MATH 423 (Mathematics of Finance) and MATH 523 (Risk Theory) include many applications of probability theory.

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**ISBN: 9780131856622**

**Required**

**IMPORTANT:**These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in

**prior academic terms**. The syllabi

**do not**necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

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