MATHEMATICS Objective: This department endeavors to provide a selection of courses in mathe matics adequate for students pursuing courses of study in the following: ele mentary or secondary education, business, psychology, social, biological, and phys ical sciences. Department Majo1·: The Department of Mathematics offers a major in Mathe matics designed for prospective secondary teachers. The upper division courses will be offered beginning 1970-71.
Lower division requirements : 105, 106, 205, 206.
Major requirements: 38 units of mathematics, 24 of which must be from upper division courses, and 8 units of General Physics. Department Minor: 26 units of mathematics, 12 of which mu s t be from upper divi sion courses, and 8 units of General Physics. 51 BASIC MATHEMATICS (0) A non-credit survey course for those deficient in arithmetic, elementary algebra, and geometry. A supervised-study learning approach allowing students to proceed at vary ing rates. Fee: same as for 2 units of credit. 101, 102 PRECALCULUS MATHEMATICS I, II (3, 3) Sets, the real number system, relations, functions, graphs, algebraic processes, inequali ties, trigonometric functions, determinants, complex numbers exponential and logarith mic functions, introduction to sequences, series and probability. Prerequisite: 3 years of high school mathematics or consent of instructor. Cannot be counted toward the major. 105 ANALYTICAL GEOMETRY AND CALCULUS I (4) An introduction to analytical geometry, differentiation, and integration of polynomial functions, with applications. Prerequisite: 4 years of high school mathematics or con sent of instructor. 106 ANALYTICAL GEOMETRY AND CALCULUS II (4) Differentiation and integration of trigonometric, logarithmic, and exponential functions. various methods of integration, and vectors in the plane. Prerequisite: 105. 111 FUNDAMENTALS OF MATHEMATICS (3) The number system and algebraic structures; modular arithmetic, set theory, functions, informal geometry, postulational methods. Designed especially for prospective ele mentary school teachers . Cannot be counted toward the major. Either semester. 205 INTERMEDIATE CALCULUS I (3) Indeterminate forms and improper integrals, polar equations, infinite series, vectors in three dimensional space, physical application , partial differentiation and multiple integrals. Prerequisite: 106. 206 INTERMEDIATE CALCULUS II (3) Ordinary differential equations with emphasis on linear equations, systems of differen tial equations, and applications to physics and engineering. Prerequisite: 205. 294 LINEAR ALGEBRA (3) Topics from matrices, determinants , linear transformations , and vector spaces. Pre requisite: 205. Alternate years , offered 1969-70. 86
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