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Course Criteria
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3.00 Credits
Prerequisite: Consent of instructor. 1 unit.
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3.00 Credits
Prerequisite: FYE Course. 1st Years Only. (Not offered 2008-09.) 2 units.
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3.00 Credits
An introduction to sets and logic, relations and functions, combinatorics, graphs, recursion, and algorithms. The topics are fundamental for the study of many areas of mathematics as well as for the study of computer science. Prerequisite: Any 100 level Mathematics course or consent of instructor. 1 unit - Bredin.
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3.00 Credits
Opportunity to study new mathematical ways of thinking in a cultural context. Much like the division between plants and animals in biology, mathematics can be divided into continuous mathematics (e.g. calculus) and discrete mathematics, the latter of which is the subject of this course. Includes concepts that are fundamental to modern mathematics and computer science. We will also introduce mathematics with important applications to the social sciences. Mathematical topics will be illuminated by examining their treatment in a variety of non-Western cultures, both historical and traditional. Prerequisite: 1 high school course in calculus or computer science. (Not offered 2008-09.) 2 units.
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3.00 Credits
Vectors in two and three dimensions, and the calculus of functions of several variables. Prerequisite: Mathematics 128. (Meets the Critical Perspectives: Scientific Investigation of the Natural World requirement.) 1 unit - Anderson, Maxwell, McDougall, Tinsley.
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3.00 Credits
Introduction to probability distribution theory and statistical inference. Descriptive methods for building models with emphasis on linear regression models including variance and covariance. Analysis of model fit and discussion of modern robust techniques. (This course is an appropriate first course in statistics for students with stronger mathematical backgrounds.) Prerequisite: Mathematics 117 or 126. (Meets the Critical Perspectives: Scientific Investigation of the Natural World requirement.) 1 unit - Tinsley.
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3.00 Credits
This course will focus on the fundamentals of exploratory data analysis, hypothesis testing, and experimental design in the ecological, environmental, and the earth sciences. Topics will include theory and practice of project design, data distribution and description, the central limit theorem, characterization of uncertainty, correlation, univariate hypothesis testing, and multivariate analyses (ANOVA, linear regression). Students will complete a final project using environmental data collected in the field and analyzed using statistical computer software. Prerequisite: Mathematics 126 or 125 or 127 or Studies in Humanities equivalent (Calculus I). (Meets the Critical Perspectives: Scientific Investigation of the Natural World requirement.) (Also listed as Environmental Science 228.) 1 unit - McDougall.
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3.00 Credits
Matrix algebra and Gaussian elimination. The geometry of vectors in R2, R3 and Rn. Vector spaces and linear transformation. Introduction to orthogonal geometry and eigenvalue problems. Prerequisite: Mathematics 203. 1 unit - Brown, Taylor.
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3.00 Credits
An introduction to one of the major mathematical software packages such as Mathematica or Matlab. Investigation of symbolic computation, numerical algorithms, and graphics as used in these programs. Students may take the course more than once to learn additional software packages, but they may take it a maximum of two times for credit. (May be taught either in the extended format or as a half-block.) Prerequisite: Mathematics 128. (Not offered 2008-09.) .5 unit.
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3.00 Credits
Students will meet regularly during the semester, in order to learn problem solving techniques as applied to interesting mathematical problems, often drawn from the national William Lowell Putnam competition, or the COMAP Mathematical Modeling Contest. Students may take the course more than once, but at most two times for credit (in different years). Prerequisite: Mathematics 128 or consent of instructor. .5 unit - Siddoway.
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