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Course Criteria
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1.00 - 4.00 Credits
Prerequisite: Consent of the instructor. Study of a special topic in mathematics. May be repeated for credit.
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3.00 Credits
Prerequisite: MATH 285. Systems of linear equations, vector spaces, linear mappings, matrices and matrix algebra, eigenvectors and eigenvalues, Cayley- Hamilton theorem, quadratic forms, and applications.
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3.00 Credits
Prerequisite: MATH 281 and MATH 300 or consent of the instructor. Methods of solution of ordinary differential equations and applications.
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3.00 Credits
Prerequisite: MATH 310. Topics in both ordinary and partial differential equations. Existence-uniqueness theorems, Laplace and Poisson equations, difference equations, nonlinear differential equations, first and second order equations, characteristics, Cauchy problems, introduction to boundary and initial value problems and their applications.
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3.00 Credits
Prerequisite: Sophomore or junior standing. This course is designed to give the student introductory experiences in both tutoring and planning classroom observations. These early field experiences will link together mathematical content along with classroom management and interaction with students from diverse populations represented in the California public schools. Lab fee.
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3.00 Credits
Prerequisite: MATH 285 or consent of the instructor. Divisibility properties of integers, prime numbers, the Euclidean algorithm, the unique factorization theorem, congruences, Fermat's theorem, Wilson's theorem, Diophantineequations, number-theoretic functions, and the quadratic reciprocity theorem.
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3.00 Credits
Prerequisite: MATH 364C/SOCS 265C or consent of the instructor. This course is designed to provide a review of fundamental descriptive and inferential procedures as well as a survey of more advanced procedures (including multiple regression, factorial analysis of variance, and a variety of non-parametric tests). Students majoring in Biology or Chemistry must take SOCS 364C/MATH 364C to fulfill the core curriculum requirement in mathematics. Students majoring in Mathematics are exempt from taking the core curriculum requirement in mathematics.
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3.00 Credits
Prerequisite: MATH 281 and MATH 285. Frequency interpretation of probability, axioms of probability theory, discrete probability and combinatorics, random variables, distribution and density functions, sampling theory and limit theorems.
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3.00 Credits
Prerequisite: MATH 180 or consent of the instructor. An introduction to the history of mathematics from ancient times to the twentieth century, with applications to elementary mathematics through calculus.
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3.00 Credits
Prerequisite: MATH 281 and MATH 285. Analysis of discrete structures and relations; proofs of existence and methods of enumeration. Permutations and combinations. The binomial coefficients, the inclusion-exclusion principle, recurrence relation, generating functions, the marriage theorem, and combinatorial designs.
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