Repository: UIHistories Project: Course Catalog - 1874-1875 [PAGE 50]

EXTRACTED TEXT FROM PAGE:

48

Illinois

Industrial

University.

with readings of specified authors, and the study of historical geography and chronology. The course occupies three terms in the third and fourth years of the University Courses. 3. Ancient History of Greece and Rome, with notices of other nations; Ancient Geography, Mediaeval History, Modern History, general European History. European Geography. 4. Constitutional History of" England and of the United States— five lectures a week. History of Civilization, analysis of historical forces and phenomena, notices of the arts and of the inductive sciences, Political Economy.

PHILOSOPHY AND LOGIC.

The studies of this department are taught chiefly by lectures, with readings of specified authors and written essays. 4. F I R S T T . Mental Philosophy. Analysis and classification of mental phenomena; Theories of perception, imagination, memory, judgment, reason, intuition. Doctrines of the absolute and the unconditioned. Philosophy of Education. SECOND T . Moral Philosophy. Theory of Conscience, Nature of Moral obligation, Moral Feeling. The Right. The Good. Practical ethics; Duties. Formation of character. Logic, formal and inductive. T H I R D T . Historj of Philosophy. Ancient Schools of Philosophy, Scholasticism, Modern schools of philosophy. Influence of philosophy on the progress of civilization and on modern sciences and arts.

PURE MATHEMATICS.

1. G E O M E T R Y . Facts and principles, demonstrated, illustrated and applied, with reference to right-lines, circles, angles, triangles polygons, planes, solid angles, prisms, pyramids, cylinders, cones and spherical surfaces, and the measurement of their lengths, areas and volumes. A L G E B R A . Powers, roots and radicals of any degree; Binomial Theorem, Properties and summation of series, Exponential quantities, Logarithms. General theory and methods of solving equations. A D V A N C E D G E O M E T R Y . Application of Algebra to Geometry, Transversales, Harmonic Proportion, etc. TRIGONOMETRY. Analytical, Plane and Spherical. Relations between the functions of an arc, Formation and use of tables, Solution of plane and spherical triangles. 2. A N A L Y T I C A L G E O M E T R Y . Construction of equations by means of co-ordinates; Discussion in a plane of the point, right-line, circle, ellipse, parabola and hyperbola; Higher plane curves, cycloid, cissoid of Diodes, etc. D I F F E R E N T I A L CALCULUS. Differentials of algebraic and transcendental functions, Maclaurin's Theorem, Taylor's Theorem, Maxima and minima of functions, Equation of Tangents, normals, sub-tangents, sub-normals, etc.; Differentials of lines, surfaces and volumes. I N T E G R A L CALCULUS. Integration of known forms and of rational fractions, Rectification of curves, quadrature of plane areas and surfaces of revolution, and cubature of solids of revolution. 3. A N A L Y T I C A L G E O M E T R Y , Loci in space; Surfaces of the second order. D I F F E R E N T I A L CALCULUS. Differentials and maxima and minima of functions of two or more variables, Osculatory curves radius of curvature; Evolutes, involutes, envelopes; Discussion of algebraic and transcendental curves and surfaces; Tangent plane and normal.