106 4. College Algebra. A course for mathematics, science and engineering majors which deals with fundamental operations, quadratics, ratio and proportion, binomial theorem, progressions, mathematical induction, inequalities, complex numbers, theory of equations, logarithms, determinants, partial fraction, and selected topics. Prerequisites: Mathematics 1. Five quarter hours. Autumn, Winter, Spring. Staff 5. Analytic Geometry. A course in plane analytic geometry which, together with Mathematics 6, constitutes a more thorough and complete course in analytic geometry which is designed for those students who desire a stronger background of mathematics as a prerequisite to the calculus. This course deals with plane analytic geometry, cartesian, and polar coordinates, lines, curves and equations, conic sections, and transformation of coordinates. Prerequisites: Mathematics 3 and 4. Five quarter hours. Winter. (May not be given 1952-1953). Staff 6. Analytic Geometry. A continuation of Mathematics 5. It deals with plane and solid analytic geometry; polar coordinates, higher plane curves, tangents, normals, graphs, functions, empirical equations, three dimensional coordinates, surfaces and curves in space. Prerequisites: Mathematics 5 and 2 (or be taking Mathematics 2 concurrently). Five quarter hours. Spring. (May not be given 1952-1953). Staff 7. Calculus. A course in differential calculus designed primarily for mathematics, science, and engineering majors. It deals with functions, limits, differentiation of algebraic and transcendental functions, applications of differentiation, parametric and polar equations, differentials, and curvature. Prerequisites: Mathematics 2, 3, 4, 5 and 6 or 10. Four quarter hours. Autumn. Stevenson, Terry 8. Calculus. A continuation of Mathematics 7. It deals with differential and integral calculus; successive differentiation and applications, methods of integration of algebraic and transcendental differentials, indefinite and definite integrals, areas and the applications, formal integration and reduction formulas. Prerequisite: Mathematics 7. Four quarter hours. Winter. Stevenson, Terry 9. Calculus. A continuation of Mathematics 8. It deals with integral calculus and differential equations; multiple integrals, centroids, moments, fluid pressure, and other applications, series, expansion of functions, and ordinary differential equations. Prerequisite: Mathematics 8. Four quarter hours. Spring. Stevenson, Terry 10. Analytic Geometry. A brief course which deals with the plane and solid analytic geometry which is designed to meet the needs of mathematics, science, and engineering majors. This course is a satisfactory prerequisite to calculus. It deals with cartesian, polar coordi- 107 nates, lines, conic sections, transcendental curves, rectangular, cylindrical and spherical coordinates in three dimensions; planes and quad- ric surfaces. Prerequisites: Mathematics 3, 4, and 2. (Or be taking Mathematics 2 concurrently). Five quarter hours. Winter, Spring. Staff 51. Basic Mathematics. A course designed to furnish the student with sufficient mathematical background for the study of the basic courses in science, and to pursue more advanced mathematics. It also provides a thorough review for students who have forgotten much of arithmetic, algebra, linear equations, special products and factoring, algebraic fractions, fractional equations, simultaneous linear equations, exponents and radicals, quadratic equations, graphical methods, and numerical trigonometry. Five quarter hours of terminal credit. Autumn, Winter. Staff 52. Plane Geometry. A two-quarter course designed for those who need Plane Geometry. This course will be given provided sufficient students register for it. Five quarter hours terminal credit. Autumn. Winter. Staff 53. Plane Geometry. A continuation of Mathematics 52. Five quarter hours terminal credit. Winter, Spring. Staff 81. Applied Mathematics. A course which treats the fundamental processes of mathematics as used by trade and industry. Measurements, common and decimal fractions, surfaces, volumes, capacities, etc., are given special consideration. Practical applications of algebra are included. Five quarter hours. Autumn, Winter, Spring. Alexander 82. Applied Geometry. A course dealing with the fundamentals of geometry as applied to carpentry, sheet metal, machine shop, etc. Angles, degrees, perpendiculars, construction, measuring, bisecting of angles and lines, etc., are given practical application. Individual needs, in plain or solid geometry are considered. Prerequisite: Mathematics 81 or equivalent. Four quarter hours. Winter. Alexander 83. Applied Trigonometry. A practical application of trigonometry in industry. Some of the problems considered are ratios and proportions, functions of the right triangle, sine, cosine, tangent, trigonometric functions, various equations, use of logarithms, and tables. Prerequisite: Mathematics 82 or equivalent. Four quarter hours. Spring. Alexander