Catalog of Abilene Christian University, 1982-1983 Page: 97
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does not fulfill degree requirements for majors in Mathematics. Prerequisite:
Fulfillment of the General Math Requirement.
1105. Personal Computing Laboratory
Required for credit to be granted in Math 1305.
1311. College Algebra
Basic algebra including roots, radicals, and factoring: quadratic equations.
Inequalities and absolute value; linearand quadratic functions and
their graphs; graphing polynomial and rational functions; solving polynomial
equations and systems of equations; division algorithm for polynomials;
complex numbers and the binomial theorem. Prerequisite: 24 or
better on the math ACT test or Math 1103, Math 1301, or Math 1,303.
1370. Quantitative Methods for Business and the Social Sciences I
Only one of Math 1370 and Math 1311 may be counted. Fundamental
concepts of mathematics necessary for business, economics, and the
social and behavioral sciences. Sets and functions, linear equations and
inequalities, systems of linear equations, matrices, nonlinear functions,
introduction to linear programming, mathematics of finance. Emphasis
on applications. Prerequisite: A score of 24 or higher on the mathematics
subtest of the ACT entrance exam or Math 1103 or Math 1202 or Math
1301 or Math 1303.
1371. Quantitative Methods for Business and the Social Sciences II
A continuation of Math 1370. Introduction to probability and statistics,
differential and integral calculus of algebraic, exponential and logarithmic
functions. Emphasis on applications. Prerequisite: Math 1370 or the
equivalent.
2317. Arithmetic for Elementary Teachers
Involves the basic concepts of arithmetic that are essential to the teacher
of arithmetic in the elementary school. Develops the number systems
through the integers including addition, subtraction, multiplication and
division and their algorithms. Course designed for future elementary
teachers.
2318. Arithmetic and Geometry for Elementary Teachers
Continuation of Math 2357. Includes the development of the set of
rational numbers, operations involving rational numbers, introduction to
the set of irrational numbers, and introduction to the metric system and
some basic geometry that is needed by the elementary teacher. Prerequisite:
Credit in Math 2357.
Courses for Majors in Mathematics, Computer Science,
Engineering, and Science
Placement in Beginning Courses for Majors in Mathematics,
Computer Science, Engineering, or Science
ACU's elementary mathematics courses are planned so that every student
who expects to take calculus will be able to start at a level suitable to his
preparation. Placement in the elementary courses is based on two scores - the
Math ACT score and the College Board Mathematics Level 2 exam. The College
Board Mathematics Level 2 exam should be taken during Freshman Orientation.
The recommended placement scale is as follows:
ACT Score Level 2
24 or above below 500 Math 1311
24 or above 500 to 625 Math 1314
28 or above below 625 Math 1314
24 or above 625 or above Math 1315A student who has not had high school trigonometry must take Math 1107 prior
to, or concurrently with Math 1314. A student who feels prepared to bypass Math
1315 (Calculus I) should plan to take an exam the night of registration. No credit
is given for bypassing Calculus I in this manner, but the student's mathematical
progress is hastened. Credit by examination for calculus or computer programming
is available through national exams. See "Credit by Examination" in this
catalog for more information.
Mathematics
1314. Elementary Functions and Analytic Geometry
Pre-calculus introduction to rational, trigonometric, exponential, logarithmic,
and inverse functions with emphasis on graphical techniques.
Further topics include analytic geometry including rotation of axes, polar
coordinates, mathematical induction, and the binomial theorem. Prerequisite:
24 or above on the Math ACT score and 500 or above on the CEEB
Level 2 exam, or Math 1311.
1315. Calculus I
Intuitive introduction to differential and integral calculus. Topics include
differential of the elementary functions and applications to curve sketching,
max-min. problems, rates, and approximations. The antiderivative is
applied to topics such as area, volumes of solids of revolution, and
archlength. Prerequisite:A score of 625 or above on the CEEB Level 2
Exam or Math 1314.1316. Calculus II
Continuation of Math 1315. Further techniques for finding antiderivatives,
Riemann sums, applications of the definite integral, the calculus of
paths, infinite sequences and series, polynomial approximations, power
series, and a rigorous introduction to limits.
2323. Discrete Structures (Spring)
Same as CS 2323
2341. Numerical Methods (Fall)
Same as CS 2341
2377. Statistical Methods I
An introduction to the methods of statistics and elementary probability.
The course includes probability distributions, expectation, random sampling,
estimation, and hypothesis testing. Prerequisite: Math 1315 or
Math 1371.
2426. Calculus III (Spring)
Calculus of several variables and elements of vector analysis, including
partial derivatives and applications, multiple integrals and applications,
gradient, line integrals, surface integrals, divergence and curl of vector
functions, vector integral theorems. Prerequisite: Math 1316.
3310. Mathematics for Teachers (Fall, odd-numbered years)
Number theory including whole numbers, rational numbers. Real
numbers, Algebraic expressions, Polynomials and theory of equations,
Conics, Consumer Math, Probability and statistics.
3312. College Geometry (Spring, odd-numbered years)
An extension of Euclidean geometry learned in high school. Includes
some construction, foundations and methods of proof in Euclidean
geometry essential to the secondary teacher of mathematics. An introduction
to non-Euclidean geometry. Designed for teacher training.
3320. Introduction to Abstract Algebra (Spring, even-numbered
years)
Introduction to the abstract fundamentals of algebra. Gives the student
the theoretical background in algebra that is required for understanding
advanced mathematics and that is necessary in teaching. Begins with
number theory, progresses to the field axioms, polynomials over a field,
and field extensions. Introduction to integral domains, rings, and groups.
3325. Linear Algebra (Fall)
Vectors, linear geometry of three dimensional space, vector spaces,
linear systems of equations, linear transformations, Matrix algebra,
determinants, diagonal matrices and eigenvalue problems, topics
covered include change of bases in a vector space, Gram-Schmidt process,
and unitary matrices. Much of the calculation in this course is done
by computer. Prerequisite: Math 1316.
3330. Mathematical Models (Spring, odd-numbered years)
An introduction to the process of describing various phenomena by
mathematical expressions. The solution of the mathematical problem
and its interpretation will be explored.
3332. Introduction to Operations Research (Fall, odd-numbered
years)
Mathematics applied to decision-making in business and other large
scale operations. Probability, Queveling theory, Inventory theory, Markov
theory, Decision analysis. Prerequisite: Math 1316.
3334. Linear Programming (Fall, even-numbered years)
Simplex Method, Duality Theory, Special problems including the transportation
problem, the transshipment problem, and the assignment problem,
sensitivity analysis.
3361. Ordinary Differential Equations (Spring)
First order linear equations, second order linear equations, oscillation
theory and boundary value problems, power series solutions, Laplace
transforms, systems of first order equations. Special topics include pursuit
curves, the brachistochrone problem, the vibrating string, the Volterra's
prey-predator equations. Prerequisite: Math 3325.
3377. Statistical Methods II (Fall, even-numbered years)
Design of experiments, multiple regression, contingency tables, nonparametric
techniques,-sampling techniques, time series data. Prerequisite:
Math 2377.
4318. Teaching Secondary Mathematics (Fall, even-numbered years)
Discusses the different strategies of teaching, the objectives to be gained
from a particular lesson, the problem of motivating the student and
means for evaluation. Includes student participation in teaching and
teacher evaluation. Will count toward secondary mathematics education
degree only.
4335. Nonlinear Programming (Spring, even-numbered years)
A study of nonlinear optimization problems with and without constraints
and their solutions. Prerequisite: Math 2426, 3334.
4342. Numerical Analysis (Spring, even-numbered years)
Same as CS 4342
4363. Partial Differential Equations (Fall, even-numbered years)
An introduction to the theory and methods of partial differential equations.
Prerequisite: Math 2426 and 3361.4378. Mathematical Statistics (Spring, odd-numbered years)
Distribution of statistics, limiting distributions, maximum likelihood
estimation, sufficient statistics, hypothesis testing, other statistical tests.
Prerequisite: Math 1316, 3377.97
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Abilene Christian University. Catalog of Abilene Christian University, 1982-1983, book, 1982; Abilene, Texas. (https://texashistory.unt.edu/ark:/67531/metapth46069/m1/99/: accessed April 25, 2024), University of North Texas Libraries, The Portal to Texas History, https://texashistory.unt.edu; crediting Abilene Christian University Library.