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ACADEMIC DEPARTMENT. 135
III. Advanced Courses open to Juniors, Seniors, and
Graduates.
For these courses, hours will be arranged to suit the members of the
classes. In some cases the courses stated as necessary in a given course
may be taken at the same time with it. A course may not be given if
not more than two persons callfor it.
12. Higher Algebra and Trigonometry. A continuation of
courses 7 and 8. It covers continued fractions, limits and derivatives,
imaginaries, series, theory of equations, applications of imaginaries
and exponentials to circular and hyperbolic trigonometry, and deter
minants. Necessary for most of the courses that follow. T., Th.,
Sat., at 10. White 21. Professor Jones.
13. Projective Geometry. Requires courses 7 or 8,
and some
knowledge of Analytic Geometry ; necessary to courses 19, 20, 23, 32,
33, and very useful in courses 15, 20, 41, 43, and in certain problems
in mathematical drawing. T., Th., S., at 8. White 18. Dr. Snyder.
{a)
Fall and winter terms : Cremona's Elements of Projective
Geometry. Two recitations a week and one lesson in drawing.
{b) Spring term : Quadric surfaces, cubic curves, and the rela
tions between projective and metric geometry. Based on Reye, Durge,
and Clebsch.
14. Mathematical readings in German. Vol. I of Weber's
Algebra will be the first book used ; other books will be selected as
they are needed. Requires courses 2 or io, and 12. Two hours.
Assistant Professor Tanner.
15. Advanced work in Analytic Geometry. Requires courses
2 or 10, 12, and preferably 13. Necessary in most of the courses that
follow. Professor Wait.
{a) Lines of the first and second orders, based on Salmon's Conic
Sections. Three hours.
{b)
Surfaces of the first and second orders based on Salmon's
Analytic Geometry of Three Dimensions,
Two hours.
and Aldis'
Solid Geometry.
17. Advanced work in Calculus. Requires courses 2 or 10, and
12. Necessary to all the courses that follow.
'{a) Differential Calculus based on McMahon and Snyder's, and
Differential Calculus. Three hours. Professor Wait.
Todhunter's,
{b) Integral Calculus. This course will be given by lectures
accompanied by mimeograph notes, frequent illustrative problems
assigned being to the class as exercises.
A short drill on the integration of various forms will be followed