Mathematics (Math)
B. Intermediate Algebra (3)
Prerequisite: elementary algebra and geometry. Sets, functions, graphs,
quadratic equations, inequalities, simultaneous equations, matrices and
determinants, mathematical induction, binomial theorem, progressions, exponents
and logarithms. (See Duplication of Courses.)
C. Trigonometry (3)
Prerequisite: Math B. Concept of a function, sine and cosine functions,
tables and graphs, other trigonometric functions, identities and equations,
trigonometric functions of solution of triangles. (See Duplication of Courses.)
D. Solid Geometry (2)
Prerequisites: elementary algebra and geometry.
1. Mathematical Analysis (3)
Prerequisites: intermediate algebra and trigonometry. Algebraic-rapid review
of fundamentals, graphs, quadratic equations, exponents, theory of logarithms,
third order determinants, systems of equations, binomial theorem. Trigonometric-functions,
special angles, identities, conditional equations, reduction formulas, multiple
and half angles.
2. Mathematics of Finance (3)
Prerequisite: Math B or 2 years high school algebra. Development of mathematical
relations between investment and income; compound interest, annuities, sinking
fund, depreciation, amortization, and bond.
3A. Analytic Geometry (3)
Prerequisites: Math. B and C, or 1. Functions and their graphs, transformation
of axes, straight line, curves including conic sections, parametric equations,
polar coordinates.
3B. Differential Calculus (3)
Prerequisite: Math. 3A. Limits, theory and technique of differentiation,
differentials, law of the mean; applications.
4A. Integral Calculus (3)
Prerequisite: Math. 3B. Further application of the derivative and differential,
inverse of differentiation, definition and theory of integrals, technique
of integration; applications.
4B. Calculus (3)
Prerequisite: Math. 4A. Hyperbolic functions; infinite series, introduction
to analytic geometry of space, partial derivatives, multiple integrals;
applications.
8. College Algebra (2)
Prerequisites: Math. B or one and one-half years of high school algebra.
10. Mathematics of the Elementary School (3)
Not open to students with credit in Ed 107. Prerequisite: elementary algebra
and geometry. For prospective teachers of elementary school mathematics.
The natural number system as developed through sets; algorithms for operations
with natural numbers; prime numbers and divisibility; ratios, rational numbers,
fractions; decimal fractions and percents.
21. Elementary Astronomy (3)
Prerequisite: elementary algebra and geometry. Nontechnical fundamental
principles and facts of astronomy; appreciation of the wonders of the universe.
25. Constellation Study (1) (Former Astron. 5)
Nonmathematical. Apparent positions and motions of heavenly bodies.
27A-B. Introduction to Mathematics (3-3)
a. Elementary Algebra
b. Plane Geometry
One-year sequence in working knowledge of mathematical principles on an
elementary level; materials selected from arithmetic, algebra, geometry,
and trigonometry; practical problems.
101. Principles of Geometry (3)
Prerequisite: Math 3. Fundamental concepts of synthetic geometry from
the modem point of view; axioms of collinearity, order, congruence; theorems
of Ceva, Menelaus, Desargues; loci; transformations of the plane; selected
topics from geometry of the circle and triangle.
102. Principles of Algebra (3)
Prerequisite: Math 4. Integral domains; ordered fields; rational, real,
and complex numbers; polynomials and theory of equations.
103. History of Mathematics (3)
Prerequisite: Math 72 or 75. History of the development of mathematical
concepts in algebra, geometry, number theory, analytical geometry, and calculus
from ancient times through the 17th century, and selected topics from more
recent times.
105. Space Geometry (3)
Introduction to modern analytic geometry of spaces of more than two dimensions.
Prerequisite: Mathematics 4A.
106. Projective Geometry (3)
Prerequisite: Math 3A. Introduction to synthetic geometry in spaces of two
and three dimensions.
107. Mathematical Analysis of Statistics (3)
Elementary theory and applications of mathematical statistics treating
the topics of convergence, dispersion, skewness, sampling, and correlation.
Background for statistical and observational data. Prerequisite: Mathematics
2 or 3A.
115. Theory of Equations (3)
Complex numbers, the general algebraic equation, discriminant, cubic
and quadratic equations, location and approximation of roots, determinants,
simultaneous linear equations, resultant of elimination. Prerequisite: Mathematics
3A.
116. Theory of Numbers (3)
Prerequisite: Math 72 or 75. Divisibility, greatest common divisor, Euler's
function, continued fractions, congruences, quadratic residues, Diophantine
equations.
118A-B. Advanced Calculus (3-3)
Prerequisite: Math 7. The real number system; function theory, continuity,
differentiability; partial differentiation; multiple integrals; line and
surface integrals; Fourier series and integrals; infinite series.
119. Differential Equations (3)
Prerequisite: Math 6, Physics 4A. Definition and classification of differential
equations; general, particular, and singular solutions; existence theorems;
theory and technique of solving certain differential equations; applications.
190. Independent Study (1-5)
See Regulations and Proceedures -- Independent Study.
(See Course Numbering System.)
Mathematics (Math)
200. Introduction to Graduate Mathematics (3)
Prerequisite: Math 102 or 110 or permission of instructor. Mathematical
logic with applications to the development of the real number system and
philosophy of mathematics.
Educ 300. Methods and Materials in Secondary Teaching (2)
(See Education)
Educ 332. Directed Teaching in Secondary Schools (1-6)
(See Education)