Texas Western College 1959-1960.pdf - Utep

MATHEMATICS
4115 Engineering Mathematics [ 803a
Al ebra. trigonometry, and analytical geometry combined to give the student
9 a foundation far the study of calculns, the natural sciences, and engineering.
The first three or four hours of classes are devoted to a review of high school
algebra. Students not ossesring a satisfactory working knowledge of algebra at
the end of this periocfare transferred to Mathematics 3103. Prerequisite: One
year of high school geometry and one and one-half years of high school algebra.
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4116 Engineering Mathematics [ 803b
Continuation of Mathematics 4115. Prerequisite: Mathematics 41 15.
3213-14 Calculus [ 613
In thns course differential calculus and integral calculus are carried on together.
In differential calculus, s ecial attention is given to the derivation of formulas
and to the application of derivatives to the solution of problems in maxima.
rates. velocity. acrelcration, and geometrical a plications. The work in integral
calculus drills the student in the integration oPforms occurring in mathematics
and physics: in evaluatin areas and volumes, and in the derivation and appli-
cation of thc fundamentaf formulas of hydrostatics. The lad two hours counted
as advanced. Prerequisite: Mathematics 2110 unless solid geometry is presented
for entrance, and Mathematics 4116.
For Undergmduatcs and Grnduotes
3325 Calculus [ 325
The topics of Mathematics 3214 are extended to include the differentiation and
integration of 3 wider class of functions and the applications of these processes
to the solution of a wider range of problems: Moments of inertia, series. partial
differentiation, and multiple integrals. Prerequisite: Mathematics 3214.
3326 Differerrtial Equations 1326
Study of the common types of ordinary differential equations of geometry.
mathematics, mechanics. and electricity. Prerequisite: Mathematics 3214.
3421 Theory of Equations [ 3.33
Theory of polynominalr, cubic and uartic equations, approximate methods.
determinants. symmetric functions, an1 other topics. Prerequisite: Math. 3214.
3422 Modern College Geometry [ 337
A courrc in modern plane geometry involving an extension of some of the
material of elementary geometry. together with an introduction to projective
geometry. Properties of the triangle, properties of the circle, similitude, in-
version, cross ratio, and principle of quality. Prerequisite: Mathematics 3214.
3423 Vector Spaces and Matrix Algebra [ NEW
An introduction to the algehra of vector and matrices. and to linear transforma-
tions on vector spacer. Prerequisite: Mathematics 3214.
3435 Higher Mathematics for Engineers and Physicists [ 335
Designed to help the student in senior and graduate work in engineering, mathematics,
physics and certain fields of chemistry. Line integrals and Green's
! Lemma. Surface intvgrals. lntrod>~ction tu complex variables, analytic flonctions.
Cauchy'r theorem. Cauchy's integral formula, infinite series, residues and elementary
mappings. Introductory vector analysis, gradient. directional derivative.
Stoke's theorem, the divergence theorem. Prerequisite: Mathematics 3325.
I + 3436 Higher Mathematics for Engineers and Physicists 1336
continuation of Mathematics 3435. Additional work with partial derivatives and
infinite series. Fourier series, series solutinns of diflerential equations, Ressel
h~naions, Laplam transforms, the Gamma function. P~erequisite: Mathematics
i 3325.
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