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MATHEMATICS.
  
  
  
  
  
  
  
  
  
  
  
  
  

MATHEMATICS.

Mathematics 50. I. Trigonometry.—Both Terms. 9:30; C. H. 10.
Credit, one session-hour. First Term, Mr. Page. Second Term,
Mr. Wood.

Equivalent to first term of Mathematics, A1 or A2.

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

Text: Conant's Plane Trigonometry.

Mathematics 50. II. Solid Geometry.—Both Terms. 11:30; C. H.
10. Credit, one session-hour. First Term, Mr. Wells. Second
Term, Mr. Wells.

Equivalent to the second term of Mathematics A1.

This 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.

Text: Hart and Feldman's Solid Geometry.

Mathematics 50. III. Advanced Algebra.—Both Terms. 8:30; C. H.
10. Credit, one session-hour. First Term, Mr. Page. Second
Term, Mr. Michie.

Equivalent to third term of Mathematics A1.

This 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.

Text: Rietz and Crathorne's Treatise on Algebra.

Mathematics 53. II. Analytical Geometry.—Both Terms. 12:30; C.
H. 10. Credit, one session-hour. First Term, Mr. Wells. Second
Term, Mr. Michie.

Equivalent to course 106 (the second term of Co-ordinate Geometry in regular
first year engineering Mathematics).

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

Text: Fine and Thompson's Co-ordinate Geometry.

Mathematics 53. III. Co-Ordinate Geometry.—Second Term. 10:30;
C. H. 10. Credit, one session-hour. Mr. Wood.

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

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

Mathematics 54. I. Analytic Geometry of Two Dimensions.—First
Term. 8:30; C. H. 12. Credit, one session-hour. Mr. Wells.

Equivalent to first term of Math. B-1. Mathematics A prerequisite.

Text: Loney's Co-ordinate Geometry.

Mathematics 54. II. Analytic Geometry of Two Dimensions (Continued).—Second
Term. 10:30; C. H. 12. Credit, one session-hour.
Mr. Michie.

Equivalent to the second term of Mathematics B-1.

Text: Loney's Co-ordinate Geometry.

Mathematics 54. III. Analytic Geometry of Two Dimensions (Continued).—Second
Term. 9:30; C. H. 12. Credit, one session-hour.
Mr. Calhoun.

Equivalent to the third term of Mathematics B-1.

Text: Fine and Thompson's Co-ordinate Geometry.

Mathematics 55. I. Differential Calculus.—First Term. 9:30; C. H.
11. Credit, one session-hour. Mr. Echols.

Equivalent to the first term, Mathematics B2 or 108 given to engineering students.

Elements of the differential calculus, maxima and minima, and rates.

Text: Granville's Calculus.

Mathematics 55. II. Differential Calculus.—Both Terms. 12:30;


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C. H. 12. Credit, one session-hour. First Term, Mr. Simpson.
Second Term, Mr. Wells.

Equivalent to second term of Mathematics B2 or 109, given to engineering students.

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.

Text: Granville's Calculus.

Mathematics 55. III. Integral Calculus.—Second Term. 10:30; C.
H. 11. Credit, one session-hour. Mr. Wells.

Equivalent to the third term of Mathematics B2 or 110.

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

Text: Granville's Calculus.

Mathematics 58. Differential Equations.—First Term. 10:20; C. H.
12. Credit, one session-hour. Mr. Echols.

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

This course presupposes a knowledge of the subject matter of elementary geometry,
but it seeks to establish principles for the organization of that knowledge,
for the selection of illustrative material, and for the attack upon original exercises.

The recommendations of the National Committee on Mathematical Requirements
are examined and the social significance of mathematics as a tool of exact science
and as a norm of clear thinking is stressed. Class assignments are made with reference
to their suggestiveness in pointing out types of pupil assignments.

Mathematics 66. Theory and Practice of Teaching Algebra in Secondary
Schools.
—Both Terms. 10:30; First Term, C. H. 11. Second
Term, M. L. 2. Credit, one session-hour elective in Education.
First Term, Mr. Simpson. Second Term, Mr. Calhoun.

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—Arithmetic and Methods.

See Education 39.

Mathematics—Methods in Arithmetic.

See Education 45.

College Entrance Subjects:

Mathematics A-1. Algebra to Quadratic Equations.—First Term.
9:30; C. H. 12. Credit, one unit. Mr. Morrow.

Mathematics A-2. Quadratics, Progressions, and the Binomial formula.—First
Term. 10:30; C. H. 105. Credit, one unit. Mr.
Morrow.

Mathematics B. Plane Geometry.—First Term. 12:30: C. H. 13.
Credit, one unit. Mr. Morrow.