SCHOOL OF MATHEMATICS.
Professor Echols.
Professor J. M. Page.
Mr. Oglesby.
Mr. Browne.
Mr. Tucker.
Mr. Ridout.
For Undergraduates.
Students entering at the beginning of the second term may begin the
study of Geometry in Mathematics A1, or College Algebra in Mathematics
A2. Students entering for the third term may begin College Algebra in
Mathematics A1, or Elementary Analytical Geometry in Mathematics A2.
Mathematics A1: Mathematics A, B, and C of the entrance requirements,
prerequisite.
First Term: Trigonometry. A complete course in Plane and Spherical
Trigonometry, with constant drill in the solution of problems, and exercises
in the use of logarithms.
Second Term: Geometry. The work begins with the solution of
numerous original exercises in Plane Geometry, and proceeds through Solid
Geometry with constant drill in original exercises.
Third Term: Algebra. The Progressions; the Binomial Formula;
Convergence and Divergence of Series with special study of the Binomial,
Exponential, and Logarithmic Series; Inequalities and Determinants; the
Theory of Equations.
(B.A. or B.S. credit, 3 session-hours.) Section I, Tuesday, Thursday,
Saturday, 9-10. Section II, Tuesday, Thursday, Saturday, 10-11. Section
III, Tuesday, Thursday, Saturday, 11-12. Section IV, Monday, Wednesday,
Friday, 9-10. Cabell Hall. Professor Page.
Mathematics A2: Mathematics A, B, C, and D, of the entrance requirements,
prerequisite.
First Term: Trigonometry, as in Mathematics A1, first term. Textbooks:
Loney, Trigonometry, Part I; Murray, Spherical Trigonometry.
Second Term: Algebra, as in Mathematics A1, third term. Text-book:
Reitz and Crathorne, College Algebra.
Third Term: Elementary Analytical Geometry, beginning with the
Cartesian and polar systems of Coördinates, with numerous exercises in the
graphical representation of equations. Especial attention is paid to the
straight line and the general equation of the first degree in two variables.
The course is intended to prepare for the study of the Analytical Geometry
of the Conic Section. Text-books: Venable,
Legendre's Geometry; Fine
and Thompson,
Coördinate Geometry.
(B.A. or B.S. credit, 3 session-hours.) Monday, Wednesday, Friday,
9-10. Cabell Hall. Professor Page.
Mathematics B1: Mathematics A1 prerequisite.—Trigonometry, continued
from the point reached in Mathematics A1; Analytical Geometry of
two dimensions in Cartesian and polar Coördinates, with a special study of
the conic sections and of a number of classical curves. (B.A. or B.S. credit,
3 session-hours.) Monday, Wednesday, Friday, 11-12. Cabell Hall. Professor
Echols.
Mathematics B2: Mathematics B1 prerequisite.—A preliminary study of
the Differential and Integral Calculus, involving the operations of differentiation
and integration of functions, with applications to the expansion of
functions in series, evaluation of illusory forms, maximum and minimum
values, the applications to geometry of curves in the problems of tangency,
contact and curvature, curve tracing, arc length, and areas, the volumes of
revolutes and of special forms of other surfaces, areas of surfaces of revolution,
and finally the solutions of the more important simple problems in
ordinary differential equations. (B.A. or B.S. credit, 3 session-hours.)
Tuesday, Thursday, Saturday, 12-1. Cabell Hall. Professor Echols.
Mathematics B3: Mathematics A2 prerequisite.—For engineering students
only. Analytical Geometry, continued from the point reached in
Mathematics A2; Differential and Integral Calculus. Credit to engineering
students for work done elsewhere covering this course or any portion of it
must be obtained through application to and with the approval of the Engineering
Faculty. For examination dates, see Engineering Schedule, p. 237,
Mathematics 103-4-5. (B.A. or B.S. credit, 3 session-hours.) Monday,
Wednesday, Friday, 12-1. Cabell Hall. Professor Echols.
For Undergraduates and Graduates.
Mathematics C1: Mathematics B1 and B2 prerequisite.—Analytical
Geometry of Three Dimensions; Advanced Differential and Integral Calculus,
continued from the point reached in Mathematics B2; Ordinary
Differential Equations. Parallel reading on the History of Mathematics.
Text-books: Charles Smith, Solid Geometry; Murray, Differential and Integral
Calculus; Williamson, Differential Calculus; Williamson, Integral Calculus;
Murray, Differential Equations; Cajori, History of Mathematics. Tuesday,
Thursday, Saturday, 11-12. Cabell Hall. Professor Echols.
For Graduates.
The work of these courses is carried on by means of lectures, notes, and
the systematic reading of the standard authors in texts and in journals.
Only one of the courses D1 and D2 will be offered in 1916-1917.
Mathematics D1: Differential Geometry: Mathematics C1, prerequisite.—
The applications of the Differential and Integral Calculus to Geometry,
with special reference to the theory of the General Space Curve, the Surface,
and the Surface Curve. Hours by appointment. Professor Page.
Mathematics D2: Differential Equations: Mathematics C1, prerequisite.—
Ordinary and Partial Differential Equations. In the discussion of the
Ordinary Differential Equation particular attention is paid to the theory
of integration of such equations as admit of a known Transformation
Group, and the classic methods of integration are compared with those
which flow from the Theory of Continuous Groups. A similar method is
adopted in the study of the Linear Partial Differential Equation of the First
Order. As far as the time admits, the theories of integration of the Complete
System, as well as those of the General Partial Differential Equation
of the First and Second Orders, will be discussed. Hours by appointment.
Professor Page
Mathematics D3: Theory of Functions: Mathematics C1 prerequisite.—
Mathematical Analysis for advanced students. The treatment of the subject
is arranged under three heads, as follows:
(1) The design of the numbers of analysis and the laws of the operations
to which they are subject are studied after the methods of Dedekind
and Tannery, Cantor and Weierstrass, as introductory to the study of functions.
(2) The study of the Theory of Functions of a Real Variable, including
series, products, and continued fractions.
(3) The General Theory of Functions of a Complex Variable is
studied after the methods of Cauchy, Riemann, and Weierstrass.
Monday, Wednesday, Friday, 11-12. Professor Echols.
For summer-school courses in Mathematics, on which college credit
will be allowed, see p. 256.
