1995-1996 Academic Catalog

MATH-384 Probability and Statistics--W 5 hours Probability models; random variables; binomial, T, chi square and F distributions; sample spaces; estimation; and hypotheses tests are studied from theoretical and practical viewpoints. Prerequisite: MATH-283 Analytic Geometry and Calculus III. MATH-387 Differential Equations--A 5 hours A study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Prerequisite: MATH-283 Analytic Geometty and Calculus III. MATH-388 Advanced Calculus 1--A,W 5 hours each quartet• Introduction to differential calculus of several variables, multiple integrals, vector analysis, line integrals, surface integrals, and an abbreviated introduction to linear algebra, matrix algebra, and determinants. Prerequisite: MATH-283 Analytic Geometty and Calculus III. MATH-389 Advanced Calculus II--Sp 5 hours Topics in function theory, vector analysis, differential calculus of several variables, vector differential calculus, integral calculus of several variables, vector integral calculus, and infinite series. Prerequisite: MATH-388 Advanced Calculus I. MATH-394 Linear Algebra--Sp 5 hours An introduction to the algebra of linear equations, including determinants, matrices, vector spaces, eigenvalues, and eigenvec– tors, and linear mapping. Prerequisite: MATH-282 Analytic Geometry and Calculus II; MATH-303 Logic and Methods of Proof. MATH-411 Applied Statistics 3 hours Topics chosen from the following; regression analysis, queuing theory, inventory themy, decision analysis, simulation, quality control, and reliability theory. Prerequisite: MATH-384 Probability and Statistics. MATH-441 Euclidean and Non-Euclidean Geometries--A 5 hours A rigorous treatment of the foundations of Euclidean geometty and an introduction to hyperbolic geometry, with emphasis on its Euclidean models. Prerequisite: MATH 303 Logic and Methods of Proof. (odd years) MATH-445 Topology--A 5 hours An introduction to elementary point set topology with emphasis on illustrating how the familiar concepts of closed and open intervals, continuity of functions, and various geometrical properties have been generalized from classical mathematics. Topics covered include: metric spaces, topological space theory, separation axioms, covering properties, compactness, connectedness, metrifability, and complete metric spaces. Prerequisite: MATH-303 Logic and Methods of Proof. (even years) MATH-461,462 Abstract Algebra I,II--A,W 4 hours An introduction to sets and logic, and the development of algebraic systems, groups, rings, integral domains, fields, and Galois theory. Prerequisite: MATH 303 Logic and Methods of Proof. (I=even years; Il=odd years) MATH-471,472 Real Variables I,II--A,W 4 hours An introduction to the real number system's algebraic, order, completeness, and cardinality properties; the topology of Cartesian spaces R" and functions including continuity and uniform continuity, connectedness, convexity, compactness, various types of conver– gence, limits, differentiability, Riemann and Lebesgue integration, measurability, and L spaces. Prerequisite: MATH-389 Advanced Calculus II. r (l=odd years, Il=even years) MATH-480 Topics in Mathematics 2-5 hours Various topics offered as interest may demand. Intended for majors in mathematics. Some typical topics: complex variables, matrix algebra, vector analysis, numerical analysis, introduction to computer programming, partial differential equations, and math– ematical modeling. Prerequisite: Permission of instructor. MATH-490 Independent Study in Mathematics 1-4 hours An opportunity to perform independent research in the various branches of mathematics and allied fields of application. Submis– sion and approval of a research proposal must precede registration. Prerequisite: Major in mathematics and permission of research advisor. Physics PHYS-172 College Physics 1--A 5 hours Basic concepts of mechanics, including ldnematics, motion in two dimensions, force and motion, work and energy, momentum, circular motion and gravitation. Four lectures and one 2-hour laboratory per week. Prerequisites: High school trigonometry or GSCI-185 Precalculus or equivalent. (Fee: $35). PHYS-173 College Physics II--W 5 hours Fluids, liquids and gases, heat and thermodynamics, waves, electricity and magnetism and AC circuits. Four lectures and one 2- hour laboratory per week. Prerequisite: PHYS-172 College Physics I or equivalent. (Fee: $35). PHYS-174 College Physics III--Sp 5 hours Geometrical and physical optics, relativity theory, quantum theoty and other topics from modern physics. Four lectures and one 2-hour laboratory per week. Prerequisite: PHYS-173 College Physics II or equivalent. (Fee: $35). PHYS-271 General Physics 1--A,Sp 5 hours Basic concepts of linear and rotational motion in three dimensions, oscillatory motion, gravitation, and fluid mechanics. Four lectures and one two-hour laboratmy each week. Prerequisites: MATH- 281,282,283 Analytic Geometry and Calculus I,11,III. MATH-283 may be coenrolled with permission of instructor. (Fee: $35) PHYS-272 General Physics II--A,W 5 hours Basic concepts in wave motion, thermodynamics and electricity, and magnetism. Four lectues and one two hour laboratory each week. Prerequisites: MATH-281,282,283 Analytic Geometry and Calculus I,II,111, PHYS-271 General Physics I. (Fee: $35) PHYS-273 General Physics III--W,Sp 5 hours Intermediate concepts in electricity and magnetism, light, optics, and a basic introduction to modem physics. Four lectures and one two-hour laboratory each week. Prerequisites: MATH-281,282,283 Analytical Geometry and Calculus I,II,111; PHYS-272 General Physics II. (Fee: $35) PHYS-376 Electricity and Magnetism--Sp 5 hours Basic concepts of electricity and magnetism. AC and DC circuits, electromagnetism, basic electronic circuits. Prerequisites: PHYS- 272 General Physics II; MATH-388 Advanced Calculus. PHYS-378,379 Modern Physics I,II--A,W 5 hours each quarter An extension of basic concepts of modern physics learned in General Physics. Topics include structure of matter, electricity and light, ldnetic theory, x-rays, nuclear reactions, atomic and nuclear structure, radioactivity. Prerequisite: PHYS-273 General Physics. (even years) The Science Department features biologists with a variety ofspecialties who teach in their respective.fields. Terry Phipps, pictured here, teaches courses in zoology.