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Show Arts, Letters and Science — Mathematics Arts, Letters and Science — Mathematics 52. Calculus with Analytical Geometry—A continuation of Mathematics 51. A W S (4). Staff 53. Calculus with Analytical Geometry—A continuation of Mathematics 52. Prerequisite: Mathematics 52. A W S (4). Staff 54. Calculus with Analytical Geometry—A continuation of Mathematics 53. Prerequisite: Mathematics 53. A W S (4). Staff 101. Teaching of Secondary School Mathematics—Organization of subject matter, methods of presenting particular topics, teaching aids, evaluation of results. Prerequisite: Mathematics 53. S (3). Fernandez, Rogers 103. Modern Math for In-Service Teachers—Introduction to sets, structure of natural numbers, integers, rational numbers and their properties. Enrollment restricted to in-service teachers. Su (3) Staff 104. Modern Math for In-Service Teachers—A continuation of topics in Mathematics 103, with modular systems, completion of the number line and spatial relationships. Enrollment restricted to in-service teachers. Su (3) Staff 105. Algebra for Elementary Education Teachers—Topics in algebra with emphasis on functions, structure of real and complex numbers. Prerequisites: Mathematics 11, 12, or equivalent. A (3) Staff 107. Geometry for Elementary Education Teachers—Study of points, lines, planes, separations, curves and surfaces and topics in non-Euclidean and co-ordinate geometry. Prerequisite: Mathematics 11, 12 or equivalent. A W S (3) Staff 111, 112, 113. Numerical Analysis—Interpolation, the calculus of finite differences, numerical integration, matrices, systems of linear equations, the numerical solution of ordinary and partial differential equations. Prerequisite: Mathematics 54. A W S (4), (4), (4). Miller 121, 122, 123. Mathematical Methods in Engineering and Physics—Vector analysis, co-ordinate systems, tensor analysis, matrices, infinite series, complex variables, differential equations, special functions, calculus of variations. Prerequisite: Mathematics 54, A W S (4), (4), (4). Staff 127. Probability-Statistics—Introductory probability theory and mathematical statistics. Prerequisite: Mathematics 53. A (4). Staff 128. Probability-Statistics—A continuation of Mathematics 127. Prerequisite: Mathematics 127. W (4). Staff 131. Introduction to Modern Algebra—Structure of algebraic systems. Prerequisite: Mathematics 53. W (4). Hyde 132. Modern Algebra—A continuation of Mathematics 131. S (4). Hyde 135. Theory of Matrices—Matrices and introduction to linear algebra. Prerequisite: Mathematics 53. A (4). Staff 141. Differential Equations—Ordinary differential equations with applications; series solutions. Prerequisite: Mathematics 54. A (4) Staff 142. Differential Equations—Solution of Laplace transforms; partial differential equations and Fourier series solutions. Prerequisite: Mathematics 141. W (4) Staff 152. Foundations of Algebra—An axiomatic treatment on an elementary level of positive integers and their extensions. Prerequisite: Mathematics 53. A Su (4) Staff 153. Foundations of Geometry—Postulate systems of geometry. Prerequisite: Mathematics 53. W (4). Staff 157. Projective Geometry—Prerequisite: Mathematics 53. S (4). Staff 161. Advanced Calculus—Functions of one and several variables, continuity, Riemann integral, partial derivatives, Taylor's theorems, integrals depending upon a parameter. Prerequisite: Mathematics 54. A (4). Miller 162. Advanced Calculus—Maxima and minima in several variables, vector algebra and calculus, Green's and Stoke's theorems, integrals depending upon a parameter. Prerequisite: Mathematics 161. W (4). Miller 163. Advanced Calculus—Infinite series, computations with series, series variable terms, uniform convergence, power series, improper integrals, Fourier series, orthogonal functions, special functions. Prerequisite: Mathematics 162. S (4). Miller 181, 182. Introductory Real Variable Theory—Set of real and complex numbers. Topology and limits in metric spaces. Borel- Lebesgue theorem and its consequences. Continuity, uniform continuity, continuous images of compact sets. Algebra of continuous functions, differentiation. Taylor's theorem with remainder, implicit function theorem. Reimann-Stieltjes integration. Prerequisite: Departmental approval. W S (3) (3). Staff 166 167 |
