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.
1a-b. Mathematical Analysis (3)
An introduction to the functions and concepts of algebra, trigonometry,
statistics, analytic geometry, and calculus. Emphasis upon the applications
of mathematical principles to the physical and biological sciences and to
economic problems.
a. Prerequisite: Math. B or plane geometry and intermediate algebra.
b. Prerequisite: Math. C or 1a.
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.
5. Theory of Analytic Geometry (2)
Prerequisite: Math. 3A. A more extended and critical study of coordinate
geometry than in 3A.
8. College Algebra (2)
Prerequisites: Math. B or one and one-half years of high school algebra.
10. Mathematics of the Elementary School (3)
Prerequisite: elementary algebra and geometry. Tests covering the ordinary
operations of arithmetic; fundamental concepts, unit plan of organization
of subject matter; analysis of skills and difficulties. Three class hours
and one hour per week for conferences and tests.
11. Interest and Annuities (2)
A brief course for those with limited training in mathematics. Changes in
values due to interest; principles and processes of simple interest, dig
count, compound interest and annuities; practical problems in insurance,
taxation, depreciation of property, purchase of property on time payments,
pensions, savings accounts, and long and short term investments. Tables
used extensively. Prerequisite: Elementary Algebra.
21. Elementary Astronomy (3)
(Formerly Astronomy 1) A non-technical course in fundamental principles
and facts of astronomy. Primary objective is a cultural background for an
appreciation of the wonders of the universe. Prerequisites: Elementary algebra
and geometry.
22. Navigation (2)
(Formerly Astronomy 2) Practical observing for beginners. Elementary methods
of determining time, latitude and longitude -- constellation study; descriptive
observations of celestial objects. Prerequisite: Astronomy 1.
23. Spherical Trigonometry and Navigation (2) (Formerly Math.
21)
Brief review of logarithms and plane trigonometry, geometry of the sphere,
solution of spherical triangles, celestial sphere, horizon and equatorial
systems, location of heavenly bodies, plane sailing, dead reckoning, piloting,
celestial navigation. Prerequisite: plane trigonometry.
25. Constellation Study (1) (Former Astron. 5)
Introductory study of apparent positions and motions of heavenly bodies.
Non-mathematical; no prerequisite.
27A-B. Introduction to Mathematics (3-3)
a. Elementary Algebra
b. Plane Geometry
A one-year sequence course, aiming at a broad working knowledge of mathematical
principles on an elementary level. Materials are selected from arithmetic,
algebra, geometry, and trigonometry and are illustrated through practical
problems selected for a variety of fields.
101. Principles of Geometry (3)
Critical study of fundamental principles of elementary geometry. Primarily
for those planning to teach mathematics. Prerequisites: Mathematics 3a,
or C and 2.
102. Principles of Algebra (3)
Critical study of fundamental principles of elementary algebra. Primarily
for those planning to teach mathematics. Prerequisites: Mathematics 3a,
or C and 2.
103. History of Elementary Mathematics (3)
Development of symbols and concepts of arithmetic, geometry and algebra;
influence of economic and social changes on this development. Prerequisite:
Mathematics 3a, or C and 2.
105. Space Geometry (3)
Introduction to modern analytic geometry of spaces of more than two dimensions.
Prerequisite: Mathematics 4a.
106. Projective Geometry (3)
Introduction to synthetic geometry in spaces of two and three dimensions.
Prerequisite: Mathematics 3a.
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.
117. Applied Calculus (3)
An introduction to the principles of differential and integral calculus,
stressing the applications to problems in physics and engineering. No credit
for students who have credit in Mathematics 4a. Prerequisite: Mathematics
la-b or 3a.
118. Advanced Calculus (3)
Selected topics from classical and modern calculus. Prerequisite: Mathematics
4b.
119. Differential Equations (3)
Classification of differential equations and their solutions, geometrical
meaning of equation, first order, singular solutions, linear equation of
first order, second order, higher order with constant coefficients, simultaneous
equations, introduction to partial differential equations, applications
to mechanics. Prerequisite: Math. 4b.
190. Special Study (1-2)
An opportunity to work on problems of interest. Students and faculty meet
for informal discussions and reports on a variety of subjects. To develop
initiative in handling a problem, to become acquainted with mathematical
literature, and to improve the presentation of results in both oral and
written reports.
(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 331. Observation and Participation in the Teaching
of Biological Sciences in Secondary Schools (2-3)
(See Education)
Educ 332. Directed Teaching in Secondary Schools (4)
(See Education)