Caption: Course Catalog - 1896-1897
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166 GENERAL DESCRIPTION OF COURSES frequently required to demonstrate the same proposition, using first the line values, then the ratio values of the functions. The subjects taught are the circular measurement of angles, general formulas of plane trigonometry, relations between functions of multiples of 90 0 plus or minus an angle, solution of right and oblique plane triangles, etc. Bowser's Trigonometry. Winter term, four-fifths study. Mr. BRENKE. Required; Math. 2. 5. CONIC SECTIONS (Geometrical Method).—Definitions and general properties of the ellipse, hyperbola, and parabola, curvature of the conic sections; elements of analytical geometry. Properties and relations of the point and right line in a plane, and of the conic sections. Cockshott &° Walters's Geometrical Conies. Spring term, full study. Mr. MILNE. Required: 6. Math. 1, 3. ANALYTICAL 'GEOMETRY.—The aim is to acquaint the student with analytical methods of investigation and to familiarize him with some of the most recent developments in synthetic geometry; to make him more skilful in the use of algebraic processes, especially as a means of demonstrating geometric properties of loci. Subjects considered are the elementary theory of the point and right line in a plane; use of abbreviated notation; elementary theory of the conic sections, their equations and properties developed analytically; poles and polars; synthetic geometry of the circle, and the discussion of the general equation of the second degree. Wood's Coordinate Geometry. Spring term, full study. Mr. BRENKE. Required: Math. 2, 4. 7. DIFFERENTIAL CALCULUS.—Variables and functions; limits and infinitesimals; differentials and derivatives; differentiation of'explicit functions, implicit functions, and functions of several variables; derivatives of higher orders; successive derivatives, developments in series; maxima and minima of functions; indeterminate forms; plane curves, tangents; and normals; asymptotes, singular points, and curve tracing; theory of envelopes, of curvature, of evolutes, and of involutes. Byerly's Differential Calculus. Fall term, full study. Professor SHATTUCK. Required: Math. 2, 4, 6. 8. ADVANCED ANALYTICAL GEOMETRY.—Position and direction in space; direction and angles; projections of lines, direction cosines; transformation of coordinates; the general and normal equations of the plane; also in terras of the intercepts; the plane satisfying given conditions; relations of planes to one another; perpendicular distance to a plane; bisectors of dihedral angles; symmetrical equations of a straight
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