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Show toring, fractions, graphic representation, functional notation, linear equations, exponents, radicals, quadratic equations, and selected topics. Prerequisites: Mathematics 001 or satisfactory performance on the placement test. A W S (5). Staff 16. Solid GeometryLines, planes, dihedral and polyhedral angles, prisms, cylinders, pyramids, cones, spheres, spherical polygons, and general polyhedrons. Prerequisite: Plane Geometry. It will be given when sufficient numbers of students indicate it is needed. (3). Bates 18. Trigonometry Natural functions and their graphs, identities, functions of the sum of two angles and related formulas, logarithms, solutions of triangles, complex numbers, inverse functions, equations. Prerequisite: Mathematics 14 or satisfactory performance on a placement test in Intermediate Algebra and Plane Geometry. A W S (5). Staff 21. College AlgebraRatio, and proportion, binomial theorem, progressions, mathematical induction, inequalities, complex numbers, theory of equations, logarithms, determinants, and selected topics. Prerequisite: Mathematics 18 or satisfactory performance on a placement test in Intermediate Algebra and Trigonometry. AWS (5). Staff 34. Analytic GeometryCartesian and polar coordinates, lines, conic sections, transcendental curves, rectangular, cylindrical and spherical coordinates in three dimensions; planes and quadric surfaces. Prerequisite: Mathematics 18, 21. WS (5). Staff 45. Freshman MathematicsA unified course of College Algebra, Trigonometry, Analytic Geometry, and Calculus. De-signed primarily as an advanced placement course for superior high school students. Prerequisites: Plane Geometry and Inter-mediate 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, centroids, 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. Pre-requisite: Mathematics 62. A (4). Staff 133. 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 trans-forms; 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. Pre-requisite: Mathematics 62. (May not be given.) S (4). Staff |
