UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1869-1870 [PAGE 30]

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30 3. What is the order of the continents in extent of surface ? 4. Describe the mountain systems of North and South America. 5. Name in their order the principal rivers of the Atlantic slope of the United States. 6. Name the countries of Europe, and their capitals. 7. Give the boundaries, and four largest towns of Illinois. 8. Describe the route of travel from Chicago to St. Petersburg, in Russia, and name the bodies of water, the rivers, countries, etc., which you would pass on your way. 9. Through what waters will a. vessel pass, and in what directions sail, in going from Glasgow to Adrianople ? 10. Name the peninsulas of Europe and Asia. ALGEBRA. 1. How does Algebra differ from Arithmetic ? 2. Distinguish between a coefficient and an exponent, and define a binomial, a radical quantity and a surd. 3. What is an equation of the second degree y

i. 5. 6. 7.

Divide x^ — yi by x — y. Solve the equation, ( x + 1 ) s = 2x + 17. Find the sum of V'Eo'and V~f2: oiVf and V X V a + x +¥ a —x V x = 7T Find value of x.

8. State what books, and how far, you have studied in algebra. GEOMETRY. 1." Define a line; a plane; an angle; and a triangle. 2. Demonstrate the theorem—The sum of the angles of a triangle is equal to two right angles. 3. Demonstrate the theorem—The area of a circle is equal to the circumference into one half the radius. -1. State what books you. have used, and how far you have studied Geometry. NATURAL PHILOSOPHY. 1. 2. 3. 4. 5. (5. 7. Define Natural Philosophy. Name the essential properties of matter. What is specific gravity, and how found ? Define Pneumatics and Hydraulics. Name and describe the mechanical powers. Describe the Leyden Jar, and explain its theory. State the extent of your study in Natural Philosophy. LANGUAGES, ETC. 1. State the extent of your studies in Latin and other languages, ancient or modern, the books read and the time spent. 2. Also state the same in any other branches: as Chemistry; Botany; Physiology ; Book-keeping, etc.