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182 FRESNO STATE COLLEGE
252. Abstract Algebra II (3)
Prerequisite: Math 153, 251. Vector spaces, linear transformations, sets of linear
transformations, Euclidean and unitary spaces, infinite dimensional vector spaces.
263. Point Set Topology (3)
Prerequisite: Math 172. Basic concepts of point set topology, set theory, topological
spaces, continuous functions; connectivity, compactness and separation
properties of spaces. Topics selected from function spaces, metrization, dimension
theory.
265. Differential Geometry (3)
Prerequisite: Math 165, 172. Study of geometry of curves and surfaces in Euclidean
space by means of tensor calculus, including an introduction to Riemannian
geometry and theory of manifolds.
271. Real Variables (3)
Prerequisite or concurrently: Math 173. Theory of sets; cardinals; ordinals; function
spaces, linear spaces; measure theory; theory of modem integration and
differentiation.
272. Functional Anlysls (3)
Prerequisite: Math 271. The Lebesgue-Stieltjes integral and its generalizations,
integral equations, Hilbert and Banach spaces, linear transformations (bounded
and unbounded).
274. Functions of a Complex Variable (3)
Prerequisite: Math 174. Representation theorems of Weirstrasse and MittagLeffler,
normal families, conformal mapping and Riemann mapping theorem,
analytic continuation, Dirichlet problem.
290. Independent Study (1·3; max see reference)
See Regulations and Procedures-Independent Study.
291. Seminar (3)
Prerequisite: graduate standing. Presentation of current mathematical research in
field of student's interest.
299. Thesis (2-6; max total 6)
Prerequisite: see Master's Degrees-Thesis Requirement. Preparation, completion,
and submission of an acceptable thesis for the master's degree.
IN-SERVICE COURSES
Note: In-service courses (300 series) are not intended for use on degrees except
by special, prior approval. See Extension and Summer Session Bulletins for course
descriptions.
302. Topics In Mathematics for Teachers (3; max total 6, if topic not repeated)
| Title | 1970-71 General Catalog |
| Creator | Fresno State College |
| Format | PDF Document |
| Date of publication | 1970-05 |
| Subjects | California State University, Fresno. Curricula. Catalogs |
| Object type | Document |
| Location | Fresno, California |
| Language | eng |
| Title | Page 182 |
| Full Text Search | 182 FRESNO STATE COLLEGE 252. Abstract Algebra II (3) Prerequisite: Math 153, 251. Vector spaces, linear transformations, sets of linear transformations, Euclidean and unitary spaces, infinite dimensional vector spaces. 263. Point Set Topology (3) Prerequisite: Math 172. Basic concepts of point set topology, set theory, topological spaces, continuous functions; connectivity, compactness and separation properties of spaces. Topics selected from function spaces, metrization, dimension theory. 265. Differential Geometry (3) Prerequisite: Math 165, 172. Study of geometry of curves and surfaces in Euclidean space by means of tensor calculus, including an introduction to Riemannian geometry and theory of manifolds. 271. Real Variables (3) Prerequisite or concurrently: Math 173. Theory of sets; cardinals; ordinals; function spaces, linear spaces; measure theory; theory of modem integration and differentiation. 272. Functional Anlysls (3) Prerequisite: Math 271. The Lebesgue-Stieltjes integral and its generalizations, integral equations, Hilbert and Banach spaces, linear transformations (bounded and unbounded). 274. Functions of a Complex Variable (3) Prerequisite: Math 174. Representation theorems of Weirstrasse and MittagLeffler, normal families, conformal mapping and Riemann mapping theorem, analytic continuation, Dirichlet problem. 290. Independent Study (1·3; max see reference) See Regulations and Procedures-Independent Study. 291. Seminar (3) Prerequisite: graduate standing. Presentation of current mathematical research in field of student's interest. 299. Thesis (2-6; max total 6) Prerequisite: see Master's Degrees-Thesis Requirement. Preparation, completion, and submission of an acceptable thesis for the master's degree. IN-SERVICE COURSES Note: In-service courses (300 series) are not intended for use on degrees except by special, prior approval. See Extension and Summer Session Bulletins for course descriptions. 302. Topics In Mathematics for Teachers (3; max total 6, if topic not repeated) |
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