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Course Criteria
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3.00 Credits
One and two dimensional calculus applied to probability. Continuous random variables in one and two dimensions, including the normal, bivariate normal, exponential, gamma (including chi-square) and beta. Density functions of transformations of random variables. Moment generating functions, weak law of large numbers, central limit theorems, convergence of random variables. Maximum likelihood and unbiased estimators. Confidence intervals, mainly for normal means and variances. Recommended as partial preparation for actuarial exam P. Prerequisite(s): A?Mat 214 and 220 and one of A Mat 362 or A Mat 367 or 367Z. Offered fall semester only.
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3.00 Credits
Neyman-Pearson theory (hypothesis testing), type I and II errors, power functions, generalized likelihood ratio tests. Two-sample confidence intervals and hypothesis tests. Sampling distributions, including the t, chi-square and F, all rigorously defined. Sufficient statistics, Fisher information, minimum variance estimators. Introduction to regression and Bayesian estimators. Some listed topics are tested on actuarial exam C. Prerequisite: A Mat 467.?Offered spring semester only.
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1.00 Credits
Drill in problem solving for one of the following actuarial exams: P, FM or M. May be repeated for credit with permission of instructor. Prerequisites depend on which of the three actuarial exam is featured. S/U Graded.
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3.00 Credits
Study of topics in mathematics, chosen at the discretion of the instructor. Prerequisite(s): permission of instructor.
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3.00 Credits
Selected topics in mathematics.? The topic of the course will be indicated in the course schedule and in departmental announcements.?The course may be repeated for credit when the topic differs.?Prerequisites for A Mat 487 will be as indicated on the departmental announcements.
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1.00 - 3.00 Credits
Individual, independent study of selected topics not covered in a regularly scheduled course. Open only to majors in mathematics. May be repeated for credit. Prerequisite(s): junior or senior class standing, and permission of instructor with whom student wishes to study.
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3.00 Credits
Individual, independent study leading to an undergraduate thesis under the direction of faculty chosen by the student. The thesis may be used to fulfill the thesis requirement in the honors program with the approval of the department. Prerequisite(s): permission of instructor.
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3.00 Credits
An introduction to the art of music through the study of piano compositions from the Romantic Era. Emphasis will be placed on directed listening to live and recorded performances of major works by Chopin, Liszt, Schubert, Fanny and Felix Mendelssohn, Clara and Robert Schumann, Gottschalk, Coleridge-Taylor and many others.
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3.00 Credits
Although the first half of the course will cover the main forms of choral music, sacred and secular, and the most important composers from Handel to Brahms. The second half will include units on music and poetry, and on national styles in music. The final unit will be devoted to contemporary choral music, both "classical" and folk, with some emphasis on choral music around the world. The course will involve a combination of lecture, discussion and listening. Students will be expected to participate frequently in class to explain their reactions to the music we are listening to. Students will also be expected to write several short papers and a term paper. Attendance at concerts of choral music will be arranged. Some facility with music and music notation is helpful but not required; a love of listening to music is most important!
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3.00 Credits
An overview of the history of Jazz, its origins and evolution. Emphasis will be placed on the music of well-known Jazz performers and composers. Numerous illustration, listening examples and other appropriate materials will be included as part of the course material. The student will enhance his or her understanding of the truly American art form.
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