DEPARTMENT OF MATHEMATICS
THIRD AND FOURTH CLASSES
The course in mathematics begins with the fourth-class year and continues through the third-class year.
In the fourth-class year, algebra is completed in alternation; first with geometry, then with trigonometry. Plane analytical geometry is begun.
In the third-class year, plane and solid analytical geometry and descriptive geometry are completed in alternation. The calculus and least squares finish the course.
The course in algebra covers the entire subject as generally taught in colleges, but the student is expected to have already mastered elementary algebra to include the progressions and the solution of the quadratic equation. The course in elementary geometry includes the books that relate to the plane and those that relate to space, but the student is expected to have mastered the former. Plane and spherical trigonometry includes the complete solution of the plane and spherical triangles. The course in analytical geometry includes the discussion of the general equation of the second degree in the plane and the particular forms of the equation of the second degree in space.
Descriptive geometry includes the orthographic projections of the right line, the plane, ruled surfaces and surfaces of revolution, tangent planes and intersections of surfaces. It also takes the subjects of shades and shadows, perspective, isometric projections and spherical projections.
The course in differential and integral calculus covers the ground of the usual college textbook, including briefly the subject of ordinary differential equations.
TEXTBOOKS
Elements of Geometry. Phillips and Fisher.
Advanced Course in Algebra. Wells.
Quadratics and Beyond. Fisher and Schwatt.
Elements of Plane and Spherical Trigonometry. Crockett.
Logarithmic Tables. Newcomb.
Conic Sections, Coördinate Geometry. C. Smith.
Coördinate Geometry. Fine and Thompson.
Elements of Analytical Geometry (Solid). Smith and Gale.
Descriptive Geometry. Church.
Linear Perspective. Pillsbury.
Differential and Integral Calculus. Granville.
Integral Calculus. D. A. Murray.
Differential Equations. D. A. Murray.
Method of Least Squares. Johnson.