OCR Text |
Show 45. Freshman MathematicsA unified course of College Algebra, Trigonometry, Analytic Geometry, and Calculus. Designed primarily as an advanced placement course for superior high school students. Prerequisites: Plane Geometry and Intermediate Algebra plus demonstrated achievement and ability. A (5). Staff 46. Freshman MathematicsContinuation of Mathematics 45. W (5). Staff 47. Freshman MathematicsContinuation of Mathematics 46. S (5). Staff 61. CalculusFunctions, limits, differentiation of algebraic and transcendental functions, application of differentiation, parametric and polar equations, differentials, integration, and curvature. Prerequisite: Mathematics 34. AS (4). Clarke, Jensen, Stevenson 62. CalculusContinuation of Math 61. Successive differentiation and applications, methods of integration of algebraic and transcendental differentials, indefinite and definite integrals, areas and the applications, formal integration and reduction formulas. Prerequisite: Mathematics 61. AW (4). Clarke, Jensen, Stevenson 63. CalculusContinuation of Mathematics 62. Integral calculus and differential equations; multiple integrals, cen-troids, moments, fluid pressure, and other applications, series, and expansion of functions. Prerequisite: Mathematics 62. W S (4). Clarke, Jensen, Stevenson 101. Teaching of Secondary School MathematicsOrganization of subject matter, methods of presenting particular topics, teaching aids, evaluation of results. Prerequisite: Mathematics 62. S (3). Staff 121. Advanced Mathematics for EngineersOrdinary differential equations, Fourier series and integrals, and Laplace transformations. Prerequisite: Mathematics 63. S (4). Staff 131. Introduction to Modern Algebra Structure of the number system, algebraic systems, such as sets, groups, rings, and fields. Linear algebra, vectors and finite matrices. Prerequisite: Mathematics 62. A (4). Staff 186 132. Modern AlgebraA continuation of Mathematics 131. W (4). Staff 135. Theory of MatricesMatrices and quadratic forms in the real and complex numbers fields. Prerequisite: Mathematics 63. S (4). Staff 141. Differential EquationsOrdinary differential equations with applications; series solutions; systems of differential equations: Prerequisite: Mathematics 63. AS (4). Staff 142. Differential EquationsSolution by Laplace transforms; numerical methods, partial differential equations and Fourier series solution. Prerequisite: Mathematics 141. S (4). Staff 152. Foundations of AlgebraAn axiomatic treatment on an elementary level of positive integers and their extension. Prerequisite: Mathematics 62. (May not be given.) S (4). Staff 153. Foundations of GeometryPostulate systems of geometry. Prerequisite: Mathematics 62. W (4). Staff 161. Advanced CalculusFunctions of one and several variables, continuity, Riemann integral, partial derivatives, Taylor's theorems, integrals depending upon a parameter. Prerequisite: Mathematics 63. A (4). Staff 162. Advanced CalculusMaxima 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). Staff 163. Advanced CalculusInfinite series, computation with series, series variable terms, uniform convergence, power series, improper integrals, Fourier series, orthogonal functions, special functions. Prerequisite: Mathematics 162. S (4). Staff 191. Mathematics SeminarA (1). Staff 192. Mathematics SeminarS (1). Staff 187 |