Repository: UIHistories Project: Board of Trustees Minutes - 1871 [PAGE 42]

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duction of plants—the whole illustrated by living and dried specimens and drawings. Als enough of Systematic Botany to enable the general student to analyze the flowering plants., Third Term.—Botany in lectures: 1st, the natural orders, their extent, properties, uses and distribution; 2d, use of the microscope. Vegetable Physiology continued. Classification* distribution and reproduction of cryptogamous plants. SECOND YEAR—First Term.—Systematic Botany. Practical examination and collection of the flowering and flowerless plants from all parts of the State, as far as practicable. Botanical excursions and survevs. Zoology. Principles of Zoology. Development, structure, classification and distribution of animals. Second Term.—Systematic Zoology in lectures: 1st, natural orders, families, etc,; 2d, 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. THIRD YEAR — First Term.—General Physiology. Comparative Anatomy. Geology. Second Term.—Principles of Geology. Third Term.—Lithological Geology. Sources and materials of mineral wealth; building stones; mineral veins. Palaeontology. FOURTH YEAR—First Term.—Historical Geology. Second Term.—Physical Geography and Meteorology. Third Term.—Special Geology of Illinois. Method of conducting surveys. Practical excursions. P U R E MATHEMATICS.

The studies of this Department extend through eight terms. Those of the first six are, it i3 thought, what the general student will require; the seventh is considered necessary, and the eighth desirable for the engineer.

FIRST YEAR—First Term.—Geometry, Davies' Legendre, i-v books; elementary principles, ratios and proportions, the circle and the measurement of angles, measurement and properties of polygons, area of the circle. Seeond 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, chapters vi and vii; formation of powers; binomial theorem; extraction of roots of any degree; radicals of any degree; theory of exponents. Third Term.—Higher Algebra; series, properties and summation of; binomial theorem, general demonstration of; exponential quantities; logarithms; general theory of equations. SECOND YEAR—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 arc. Second Term.—Analytical Geometry; 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.—Differential Calculus; differentials of algebraic functions of a single variable; Maelauren'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, etc.; differentials of an arc, plane area, surface and volume of revolution. Integral Calculus; integration of monomials, of particular binomials, of rational fractions ; applications in the rectification and quadrature of curves, in the quadrature of surfaces of revolution, and in the cubature of volumes of revolution. THIRD YEAR—First Term.—Analytical Geometry; curves in space ; discussion of the general equation of the second degree; discussion of the surfaces of the second order. Differential Calculus; differentials of functions of two or more variables; maxima and minima of