In 1961 with a student population of 1200, the mathematics department
with six faculty members offered a much concentrated curriculum from
early years. Here it is evident that two main curricular streams were
emerging: analysis and algebra. Further details of the changing
curriculum are collected in the
Evolution of the Mathematics Curriculum.
This is the list of courses in the 1961 catalog:
- 105/106 - Analysis I:Analytic geometry and calculus.
Treatment of the conic sections in rectangular, polar, and parametric
equations. Differentiation and integration of algebraic, trigonometric,
logarithmic, and exponential functions, with applications.
4 hours each semester. - Department.
- 124 - Theory of Equations:Elementary theorems on the
roots of equations, transformations, solutions of the cubic and quartic;
Sturm's method, Horner's method, Newton's method. Determinants and
eliminants. (Prerequisite: Mathematics 106.) 3 hours. - Department.
- 203/204 - Analysis II: Analytic geometry and calculus.
Analytic geometry of three dimensions, infinite series, Taylor's formula,
partial differentiation, and multiple integrals, with applications.
4 hours each semester. - Department.
- 207/208 - Elementary Statistics: Charts, graphs,
frequency distribution, index numbers, analysis of time series,
correlation, sampling theory, analysis of variance. (Prerequisite:
Mathematics 106. 3 hours each semester. - Department.
- 315/316 - Analysis III: Advanced calculus. Further
work in partial differentiation and Taylor series; elliptic integrals,
line integrals, Fourier series, with applications. 4 hours each
semester. - Department.
- 401 - The Teaching of Mathematics: The history of
mathematics and the aims and methods of teaching mathematics in the
secondary schools. (Prerequisite: Mathematics 106 and
senior standing.) 3 hours. Offered 1961-62 and alternate years.
- Hansman, Leech.
- 402 - Readings in Mathematics: Readings, discussions
and reports on selected topics in college mathematics. (Prerequisite:
Senior standing and concentration in mathematics.) 3 hours.
- Department.
- 405/406 - Modern Algebra: The real number system,
determinants and matrices, transformations, integral domains, rings,
fields, vector spaces, groups, polynomials and their properties.
3 hours each semester. Offered 1962-63 and alternate years.
- Leech.
- 409 - Analysis IV: Ordinary and partial differential
equations. Fourier series, Bessel functions, the Laplace transform,
other topics from mathematical physics. One semester, 4 hours.
- Department.
Notice that Modern Algebra is offered, but complex analysis is left
perhaps for the Readings course. Also, the prerequisites on the Analysis
courses are not explicitly stated.
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