305, 306 ADVANCED CALCULUS I, II (3, 3) Rigorous analysis of calculus and its foundations, funct ions of one and more variables, partial differentiation, multiple integrals, line and surface integrals, infinite series, and vector calculus. Prerequisite: 206 , 294. Alternate years, offered 1970-71. 315 MODERN ALGEBRA (3) An introduction to abstract algebra with topics from elementary ring, field, and group theories. Special emphasis on ring integers, congruences, µolynomial domains, per mutation groups . Prerequisite: 294. Not offered 1969-70. 325 FUNDAMENTAL CONCEPTS OF GEOMETRY (3) Selected topics in Euclidean geometry; the study of various axiom systems for non Euclidean geometry; projective, metric, and affine geometry. Prerequisite: 205. Alter nate years, offered 1970-71. 332 MATHEMATICAL STATISTICS (3) Introduction to probability, probability distributions, probability densities, -mathematical expectation for discrete and continuous random variables. Prerequisite: 205 . Alternate years, offered 1970-71. 445 NUMBER THEORY (3) Congruences, Diophantine equations, divisibility, theorems of Fermat and Wil son, primi tive roots, indices, quadratic reciprocity. Prerequisite: 206 or 294. Not offered 1969-70. 416 SET THEORY AND LOGIC (3) Informal axiomatic set theory and predicate logic as a foundation for modern mathe matics. Prerequisite: 315. Not offered 1969-70. 426 MODERN GEOMETRY (3) Coordinate geometry, use of vectors, matrices, and coordinate transformations, matrix vector operations, characteristic values, diagonalization of quadiatic forms. Prerequi site: 294, 325. Not offered 1969-70. An introduction to experimental fact and theory basic to the physical sciences. Four hours lecture, three hours laboratory. Laboratory fee: $10 .00 Either semester. 105 GENERAL PHYSICS: MECHANICS OF SOLIDS AND FLUIDS (4) Element ary Newtonian mechanics; conservation of energy and momentum; wave motion, elementary heat transfer and thermodynamics. Prerequisites: high school physics or consent of instructor; Mathematics 105. Three hours lecture, three hours laboratory. Laboratory fee: $10.00. 206 GENERAL PHYSICS: ELECTRICITY AND MAGNETISM (4) Electrostatics; conductors and currents; magnetic fields; electromagnetic induction; electromagnetic waves. Prerequisites: 105. Mathematics 106. Three hours lecture, three hours laboratory. Laboratory fee : $10.00. 207 GENERAL PHYSICS: LIGHT AND MODERN PHYSICS (4) Light, relativity; quantum physics; atoms, molecules, and nuclei. Prerequisites: 105; Mathema tics 106. Three hours lecture, three hours laboratory. Laboratory fee: $10.00. Alternate years, offered 1970-71. 110 ASTRONOMY (3) An introductory course; the earth-moon system and the planets; stars and stellar sys tems, nebulae, galaxies; telescopes and their accessories. Not offered 1969-70. 87 PHYSICAL SCIENCES 101 PHYSICAL SCIENCE SURVEY (5)
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