In 1931, the college hired consultants to review the curriculum and
make appropriate recommendations. The result was a new plan that was
implemented in 1933 (compare to the "new design" shown in the
image at the upper right from the 1931 Pikes Peak Nugget - a
student publication). In the first two years, students took courses
in the School of Arts and Sciences. Then they had to be admitted to
one of three divisions: the School of Letters and Fine Arts, the
School of Social Sciences, and the School of Natural Sciences.
Mathematics belonged to the third division and the curriculum
was divided between the School of Arts and Sciences and the School of
Natural Science. The 1933 catalog presented the mathematics
curriculum in this way:
The School of Arts and Sciences
- 101 - Introductory College Algebra: Algebraic
operations, linear equations in one unknown, factoring, fractions,
systems of linear equations, exponents and radicals, quadratic
equations, equations involving radicals, binomial theorem. - Albright
(Prerequisite: an introductory course in high school algebra.)
- 103 - College Algebra: Graphs, linear equations,
exponents, logarithms, quadratic equations, simultaneous quadratics,
variation, binomial theorem, progressions, permutations, combinations,
theory of equations, determinants. - Lyons (Prerequisite: one and
one-half units of high school algebra or consent of the instructor.)
- 109 - Solid Geometry: Planes and lines in space,
polyhedra, the cylinder, cone and sphere, spherical triangles. - Lyons
(Prerequisite: one unit of high school plane geometry.)
- 112 - Mathematical Theory of Investments: Logarithms,
simple and compound interest, annuities, amortization, valuation of
bonds, sinking funds, depreciation. - Albright (Prerequisite:
Mathematics 101, or 103, or one and one-half units of high school
algebra.)
- 114 - Elemetary Statistical Methods: Sources, sampling,
selection of units, time series, types of frequency distributions,
graphs and their interpretation, averages, measures of dispersion and
skewness, correlation, index numbers, trend, use of computing machines.
- Lyons (Prerequisite: Mathematics 101, or 103, or one and one-half
units of high school algebra.)
- 121 - Trigonometry: Functions of one and two angles;
inverse functions, logarithms, solution of triangles, applications.
- Lyons, Sisam (Prerequisite: one and one-half units of high school
algebra and one of geometry.)
- 122 - Analytic Geometry: Plane loci of the first and
second orders, higher plane curves, solid analytic geometry. - Sisam
(Prerequisite: Mathematics 103, or consent of instructor.)
- 203/204 - Differential and Integral Calculus: The
theory and technique of differentiation and integration, applications.
- Lovitt (Prerequisite: Mathematics 122, or registration therein,
and sophomore standing.)
- 205 - Advanced Statistical Methods: Multiple and
partial correlation, business cycles, long time trend, seasonal
fluctuations, price movements with special reference to stocks, lag,
economic and social ratios, distributions of wealth and income,
Pareto's law, finite differences, interpolation, moments, curve
fitting, Lexis, series, Poisson exponential. - Lovitt (Prerequisite:
Mathematics 114.)
The School of Natural Sciences
- 301/302 - Mechanics: Concurrent and non-concurrent
forces, centers of gravity, moments of inertia, flexible cords, motion
of a particle, work and energy, friction, impact, dynamics of rigid
bodies, applications to physics and engineering. - Albright
(Prerequisite: Mathematics 203 and 204.)
- 303 - Theory of Equations: Solution of cubic and
quartic equations, properties of an algebraic equation in one unknown,
determinants, linear equations, resultants, and discriminants. - Sisam
(Prerequisite: Mathematics 203 and 204.)
- 305/306 - Differential Equations: Methods of the
solution of ordinary and partial differential equations, applications.
- Sisam
(Prerequisite: Mathematics 203 and 204.)
- 308 - Solid Analytic Geometry: Equations of the
plane and right line in space, quadric survaces, special surfaces
of higher order. - Lovitt
(Prerequisite: Mathematics 203 and 204 or consent of instructor.)
- 310 - Projective Geometry: The projective properties
of primitive forms of the first and second orders. - Sisam
- 311 - Vector Analysis: Vector symbolism, computation
by means of vectors, applications to geometry and mechanics. - Sisam
(Prerequisite: Mathematics 203 and 204.)
- 315/316 - Advanced Calculus: Partial differentiation,
multiple integrals, Taylor's theorem, elliptic integrals, line
integrals, Fourier's series, calculus of variations, applications.
- Sisam
(Prerequisite: Mathematics 203 and 204.)
- 401 - The Teaching of Mathematics: The history of
mathematics and the aims and methods of teaching mathematics in the
secondary schools. - Sisam
(Prerequisite: Mathematics 101 and senior standing.)
- 402 - Readings in Mathematics: Readings, discussions,
and reports on selected topics in college mathematics.
(Prerequisite: Senior standing and concentration in mathematics.)
- 409/410 - Functions of a Complex Variable: Fundamental
properties of functions of a complex variable, linear transformations,
infinite series, analytic continuation, Riemann surfaces, multiple
periodic functions. - Sisam
For further notes on the development of the mathematics curriculum,
see Evolution of the Mathematics Curriculum.
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