Repository: UIHistories Project: Course Catalog - 1869-1870 [PAGE 14]

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button and reproduction of Cryptogamous plants. Third Term.—Systematic Botany. Practical collection and examination of the flowering and flowerless plants from all parts of the State as far as practicable. Botanical excursions and surveys. ZooLoc4-\'.—First Term.—Principles of Zoology—development, structure, classification and distribution of animals. Second Term.—Systematic Zoology in lectures: 1st, natural orders, families, etc.; 3d, Embryology and peculiar modes of reproduction ; alternate generation; Comparative Anatomy as applied to classification. Collection and preservation of specimens, and Natural History of domestic animals. Third Term.—Entomology; classification of insects; habits of those injurious to vegetation, with means of checking their ravages. Habits of •beneficial species. First Term.—General Physiology. Comparative Anatomy and Veterinary Surgery. GEOLOGY.—Second Term.—Principles of Geologj'. Third Term.— Lithological Geology—sources and materials of mineral wealth; building states; mineral veins. Paleontology. First Term.—Historical and Dynamical Geology. Palaeontology. Second Term.—Physical Geography and Meteorology. Third Term.—Special Geology of Illinois—Method, of conducting surveys. Practical excursions.

DEPARTMENT OF PURE MATHEMATICS.

The Studies of this Department extend through eight terms. Those of the first six are, it is thought, what the general student will require; the seventh is considered necessary, and the eighth desirable for the engineer. FIHST YKAR.—First Term.—Geometry, Davies' Legendre, five books; Elemental}- principles, ratios and proportions, the circle and the measurement of angles, measurement and properties of polygons, area of the circle. Second Term.—Geometry, vi-ix books; planes; polyedral angles; the prism, pyramid, cylinder, cone and sphere—the -properties and measurement of; area of a spherical polygon, of a lune; measurement of spherical angles; algebra, Davies' Bourdon, chapter vii; formation of powers; Binomial theorem; extraction of roots of any degree; radicals of any degree; theory ofexponents. Third Term.—Higher algebra; series, properties and summation of; Binomial formula, general demonstration of; exponential quantities; Logarithms; general theory of equations. SECOND YEAB.—First Term.—Trigonometry, plane, spherical and analytical; formation and use of tables; solution of right angled and oblique angled triangles ; relations between the circular functions of any are. Second Term.—Analytical geometry, Church's; geometrical construction ; point and right line on a plane; properties and measurement of the circle, ellipse, parabola and hyperbola; point, right line, plane, and surface of revolution in space. Third Term.—Calculus, Church's; differential calculus; differentials of algebraic functions of a single variable; Maclauren's theorem; Taylor's theorem; differentials of transcendental functions; maxima and minima of functions of a single variable; equations of tangent and normal; expressions for sub-tangent, sub-normal, &c.; differentials of an arc, plane, area, surface and volume of revolution. Integral' calculus • interation of monomials, of particular binomials of