| OCR Text |
Show Arts, Letters and Science Arts, Letters and Science 117, 118, 119. Methods of Mathematical Physics—Vector analysis, co-ordinate systems, tensor analysis, matrices, infinite series, complex variables, differential equations, special functions, calculus of variations. Prerequisite: Mathematics 54 AWS (4), (4), (4). Staff 127. Probability-Statistics—Introductory probability theory and mathematical statistics. Prerequisite: Mathematics 53. W (4). Staff 128. Probability-Statistics—A continuation of Mathematics 127. Prerequisite: Mathematics 127. S (4). Staff 131. Introduction to Modern Algebra—Structure of algebraic systems. Prerequisite: Mathematics 53. W (4). Staff 132. Modern Algebra—A continuation of Mathematics 131. S (4). Staff 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: Mathe- m n + irtn PC A A ( A \ Q!4-n-C-C Staff matics 54. A (4) 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: Math 53. A (4). Staff 153. Foundations of Geometry—Postulate systems of geometry. Prerequisite: Mathematics 53. S (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). Staff 162. Advanced Calculus—Maxima and mimima in several variables, vector algebra and calculus, Green's and Stoke's theorems, integrals depending upon a parameter. Prerequisite: Mathematics 161. W (4). Staff 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). Staff 181, 182. Introductory Real Variable Theory—Set of real and complex numbers. Topology and limits in metric spaces. Borel-Lebesque 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 185. Topics in Mathematics—This course will vary from year to year as the demand may be, over: (a) Topics in Analysis (b) Topics in Algebra (c) Topics in Geometry and (d) Topics in Applied Mathematics. (May be taken more than once for a maximum of 5 credit hours.) Prerequisite: Approval of the Instructor. S (2-4). Staff MATHEMATICS DEPARTMENTAL MAJOR (Freshman Year Common for Departmental and Teaching Majors) (Example Only) Freshman Course Title A W S English 1, 2, 3 Basic Communications 3 3 3 Chemistry 24, 25, 26 Principles of Chemistry 5 5 5 Mathematics 21 College Algebra 5 Mathematics 51, 52 Calculus with Analytic Geom. 5 4 Physical Education Freshman Activities 1 1 1 Health Education 1 Personal Health Problems 2 Area Requirements Selected 3 14 16 16 Sophomore Mathematics 53, 54 Calculus with Analytic Geom. 4 4 Approved Mathematics 4 Physics 61, 62, 63 Engin. Physics 4 4 4 Physics 64, 65, 66 Engin. Physics Lab 1 1 1 Area Requirements Selected 3 6 6 Elected Selected 3 15 15 15 138 139 |
