The University of Virginia record :: March 1, 1922 :: University of Virginia Library

The course embraces the usual topics covered in college algebra for freshmen—
Quadratics and the progressions, the binominal formula, covergence and divergence
of series, the theory of equations, etc.

Corresponds to third term of Math. A1, regular session. Text.—Reitz and Crathorne's
Treatise on Algebra.

Mathematics 51. Solid Geometry.—Both Terms. 11:30; C. H. 11.
Credit, one session-hour. First Term, Mr. Simpson. Second
Term, Mr. Shackelford.

The course covers the usual subject matter of Solid Geometry. Attention is given
to the logical development of the subject, the proof of the leading propositions, their
relationship to each other and to analogous theorems of plane geometry, and to the
solution of original exercises.

The theory of mensuration of geometrical solids is set up and many drill problems
given.

Corresponds to the second term of Mathematics A1, regular session. Text.—Hart
and Feldmaen's Solid Geometry.

Mathematics 52. Trigonometry.—Both Terms. 9:30; C. H. 10.
Credit, one session-hour. First Term, Mr. Page. Second Term,
Mr. Luck.

The course embraces all topics usually covered in the standard text-books.

Corresponds to first term of Mathematics, A1 or A2, regular session. Text.—
Conant's Plane Trigonometry.

Mathematics 53. Analytical Geometry.—First Term. 12:30; C. H.
10. Credit, one session-hour. Mr. Simpson.

Course embraces straight line, circle, and parabola and is intended to prepare for
the study of the Analytical Geometry of the conic sections.

Corresponds to course 106 (the third term of Co-ordinate Geometry in regular
first year engineering Mathematics). Text.—Fine and Thompson's Co-ordinate
Geometry.

Mathematics 54. Differential Calculus.—First Term. 9:30; C. H. 12.
Credit, one session-hour. Mr. Echols.

Elements of the differential calculus, maxima and minima, and rates. Corresponds
to the first term, Math. B2 or 108 given to engineering students, regular
session. Text.—Granville's Calculus.

Mathematics 55. Integral Calculus.—Second Term. 10:30; C. H. 12.
Credit, one session-hour. Mr. Michie.

Definite integrals and their application to the determination of areas, lengths of
arcs, volumes, surfaces, mass moments, moments of inertia, and centre of gravity.

Corresponds to the third term of Math. B2 or 110, regular sesrsion. Text.—Granville's
Calculus.

Mathematics 56. Co-Ordinate Geometry.—Second Term. 10:30; C.
H. 10. Credit, one session-hour. Mr. Luck.

Analytical Geometry continued from the point reached in 53 (or course 106, Engineering).

Corresponds to course 107 (the third term of Co-ordinate Geometry in regular
first year, engineering Mathematics).

Mathematics 57. Differential Calculus.—Both Terms. 12:30; C. H.
5. Credit, one session-hour. Mr. Michie.

Evaluation of illusory forms, infinite series. Taylor's and McLaurin's series, tracing
and discussion of curves, and the application to geometry of curves in the
problem of tangency, contact and curvature.

Corresponds to second term of Math. B2 or 109. Given to engineering students
in the regular session. Text.—Granville's Calculus.

Mathematics 58. Differential Equations.—Both Term. 10:30; C. H.
10. Credit, one session-hour. Mr. Echols and Mr. Michie.

A study of the more common types of ordinary differential equations, especially
those of the first and second orders, with application to geometry, physics and mechanics.
Text.—Murray's Differential Equations.

Mathematics 59. Elementary Mechanics.—First Term. 8:30. Basement
M. L. Credit, one session-hour. Mr. Michie.

Course embraces composition and resolution of forces; friction; problems in equilibrium;
rectilinear motion, circular motion, projectile motion. Daily problems are
assigned for solution by analytical and graphical methods. Corresponds to first
term of Applied Mathematics B1, or 526 regular session.

Mathematics 60. Graphical Statics.—First Term. 9:30. Basement
M. L. Credit, one session-hour. Mr. Michie.

Course embraces Graphic Composition and resolution of forces; centers of
gravity and moments of inertia; strain sheets for simple types of roof and bridge
trusses; beams under fixed and rolling loads; reservoir dams and retaining walls;
internal stresses and beam deflections. Daily problems in Graphical Statics are
assigned. Corresponds to 524 in regular session. Text.—Malcolm's Graphic Statics.

Mathematics 61. Applied Mathematics.—Second Term. 9:30. Basement
M. L. Credit, one session-hour. Mr. Michie.

Course embraces review of elementary mechanics; dynamics of a particle; moments
of inertia; revolving bodies; rolling bodies; theory of work and energy; collision of
elastic solids; dynamics of the steam engine. Daily problems are assigned for solution
by graphical and analytical methods. Corresponds to 527 in regular session.

Mathematics 62. Strength of Materials.—Second Term. 11:30. Basement
M. L. Credit, one session-hour. Mr. Michie.

Course embraces fundamental laws of stress and strain; straining actions and
stresses in ties and struts, beams and shafts, reinforced concrete slabs and girders;
deflections in simply restrained and continuous girders; columns under axial and
eccentric loads. Corresponds to second term applied Math. B, or 528 regular session.

Mathematics 63. Descriptive Geometry.—Second Term. 11:30; C.
H. 10. Credit, one session-hour. Mr. Geisecke.

A general course of problems relating to the point and line, and to plane, curved,
and warped surfaces; axonometric, oblique, and central projection.

Special attention will be given to the applications of descriptive geometry in the
constructive arts.

Mathematics 64 (c).—First Term. 11:30; C. H. 5. Credit, one term
of Math. C of the regular session. Mr. Echols.

Mathematics B1 and B2, or Mathematics B2 and B3, of the regular session prerequisite.

Analytical geometry of three dimensions; advanced differential and integral calculus;
differential equations.

Not given unless five enroll for it. Application should be made before June 19th.

Mathematics—Arithmetic and Methods.

See Education 37.

Mathematics—Methods in Arithmetic.

See Education 38.

Mathematics 65. Theory and Practice of Teaching Geometry.—Both
Terms. 2:30; C. H. 11. Credit, one session-hour elective in
Education. First Term, Mr. Simpson; Second Term, Mr. Shackelford.

This course aims to present the best modern practice in the teaching of Geometry.
While emphasis will be placed on the knowledge of subject matter, typical methods
of presenting geometry, current tendencies in subject matter, and recent experiments
to improve the teaching of geometry will be considered. The work of the
National Committee on Mathematical Requirements in the reorganization of Mathematical
Instruction will be given.

Mathematics 66. Theory and Practice of Teaching Algebra in Secondary
Schools.—Both Terms. 3:30; C. H. 11. Credit, one
session-hour elective in Education. Mr. —.

This course aims to present the best modern practice in the teaching of Algebra.
While emphasis will be placed on a knowledge of the subject matter, typical methods
of presenting algebra will be considered. The course is intended for teachers
of algebra in four-year high schools.

Mathematics 189. Plane Geometry.—First Term. 10:30; C. H. 8.
Mr. Morrow.

This course is designed for students wishing to review the subject and for those
desiring to absolve entrance requirements. Text.—Well's Essentials of Plane
Geometry.

Mathematics 324. Review of High School Algebra.—First Term.
3:30; C. H. 10. Mr. Morrow.

A rapid review of elementary topics, followed by the study of linear equations,
graphs, exponents, radicals, and quadratic equations. Text.—First Course in Algebra,
Ford and Ammerman.

Mathematics 325. Quadratics and Beyond.—Second Term. 3:30;
C. H. 10. Mr. Morrow.

The subjects to be studied are linear systems, graphs, progressions, ratio and proportion,
variations, logarithms, and the binominal theorem.

Note.—Courses 324 and 325 together are valued at two units of entrance credit
to colleges.