|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
3.00 Credits
A course for prospective teachers of mathematics. There will be a strong concentration on the Topics of the New York State Regents Syllabus for secondary school mathematics. There will also be a computer component of the course which will include some work with current educational software. Mathematical topics will include sets, proofs, symbolic logic, analytic geometry and basic probability and statistics. Prerequisites: MATH 103, 104 or equiv., CMPT 114 or equiv. (Cr. 3)
-
3.00 Credits
Classification of partial differential equations. Characteristics. Derivation of the classical linear second order equations. Fourier series. Separation of variables. Initial and boundary value problems. Cauchy, Dirichlet, and Neumann problems. Prerequisite: MATH 203. (Cr. 3)
-
3.00 Credits
Selected topics from Euclidean and non-Euclidean geometries. Further topics in higher geometry, as time permits. Offered every other year. Spring. Prerequisites: MATH 213, 215. (Cr. 3)
-
3.00 Credits
A rigorous treatment of differential calculus of one variable: sequences, limits, continuity, the derivative. Fall. Prerequisites: MATH 201 and 213. (Cr. 3) 314. Analysis II. A continuation of 313. Topology of the real numbers, uniform convergence, Riemann integral, infinite series, Taylor and Fourier series, metric spaces. Spring. Prerequisite: MATH 313. (Cr. 3)
-
3.00 Credits
The first part of a two-semester sequence. An introduction to algebraic structures with an emphasis on groups, covering normal subgroups, cosets. Langrange's theorem and the fundamental homomorphism theorems. Fall. Prerequisites: MATH 213, 215. (Cr. 3)
-
3.00 Credits
The second part of a two-semester sequence. Further study of algebraic structures, such as rings, fields and integral domains. The homomorphism theorems and applications. Spring. Prerequisite: MATH 315. (Cr. 3)
-
3.00 Credits
A continuation of the topics introduced in MATH 215, with emphasis on orthogonality, inner product spaces, eigenvalues and eigenvectors, diagonalization, quadratic forms and numerical linear algebra. Fall. Prerequisite: MATH 215. (Cr. 3)
-
3.00 Credits
A calculus-based survey of probability and statistics with applications in social, natural sciences and engineering. Topics include probability, discrete and continuous random variables, point and interval estimation, hypothesis testing, linear models (encompassing regression and ANOVA). Prerequisite: MATH 104. (Cr. 3)
-
3.00 Credits
The complex plane, functions, limits and continuity. Analytic functions, Cauchy-Riemann equations. Cauchy integral theorem and consequences. Additional topics may include: Power series, Taylor and Laurent series, classification of singularities, the Residue Theorem and its applications, conformal mapping, selected applications. Spring. Prerequisite: MATH 203 or permission of instructor, MATH 213 recommended. (Cr. 3)
-
3.00 Credits
Beginning with a review of set theory and basic topological definitions, topological spaces are studied with metric spaces considered as examples. Compactness, connectedness, metrization theorems. An introduction to homotopy theory. Prerequisite: MATH 213 or permission of instructor. (Cr. 3)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2025 AcademyOne, Inc.
|
|
|