113 DEPARTMENT OF MATHEMATICS G. Alexander, J. Atkins, A. P. Bates E. F. Cammack, R. A. Clarke, N. B. Cutler, H. P. Huish, J. L. Jensen, E. S. Murphy, M. L Stevenson, W. Z. Terry General Prerequisites: Each course in elementary mathematics requires a knowledge of mathematical principles and an understanding and a working knowledge of the content of courses previously studied. The student's success in future mathematics courses is dependent upon this knowledge and understanding. For this reason, it is required that the student complete all prerequisite courses in mathematics with a C grade or better. Whenever a lower grade in a mathematics course is received, or the substance of the course is forgotten, the student should repeat the particular course. A mathematics placement test is required, prior to registration, of all students who have not completed the specified prerequisite courses within the past two years. Exceptions to this requirement are: 1. Those students who have completed equivalent courses within the past two years with a C grade or better at an accredited college. 2. By approval of the head of the mathematics department. This regulation is designed primarily for the benefit of the student and for the efficiency of the teaching staff. When the student is registered in the proper course, he has a reasonable chance for success—otherwise, he almost invariably fails. Arrangement to take the prescribed placement test should be made at the Personnel Office, Room 139 in Building No. 1. While the department aims to set up ways and means to see that students are registered in the proper mathematics courses, the primary responsibility rests with the student. Students enrolled in mathematics classes for which they do not have the required prerequisites may have their registration in such courses cancelled at any time. Departmental majors should complete in the first two years Mathematics 4, 3, 10, 7, 8, and 9; Physics 7, 8, and 9; and the general college requirements as specified elsewhere in this Catalog. It is recommended that majors who intend to do graduate work obtain a reading knowledge of French or German, Teaching majors or composite Physical Science teaching majors should consult with the head of the department and with the head of the Education Department. It is recommended that such majors include in their first two years Mathematics 4, 3, 10, 7, 8, and possibly 9; Chemistry 4, 5, and 6 or Physics 7, 8, 9, for composite Physical Science teaching majors. 117 COURSES OF INSTRUCTION Mathematics 1. Intermediate Algebra. A course designed for the general student as well as for the science student. It deals with the fundamental laws and algebraic operations, signed numbers, the language of algebra, simple equations, formulas, statement problems, special products, factoring, fractions, graphic representation, functional notation, linear equations, exponents, radicals, quadratic equations in one unknown, and selected topics. Prerequisites: Mathematics 53, or satisfactory performance on a placement test. Five quarter hours. Autumn, Winter, Spring. Staff 2. Solid Geometry. A course dealing with lines, planes, dihedral and polyhedral angles, prisms, cylinders, pyramids, cones, spheres, spherical polygons, and general polyhedrons. Prerequisite: Plane Geometry. Three quarter hours. Winter, Spring. Atkins 3. Trigonometry. Plane and spherical trigonometry designed primarily for mathematics, science, and engineering majors. It deals with the natural functions and their graphs, identities, functions of the sum of two angles and related formulas, logarithms, solutions of triangles, complex numbers, inverse functions, hyperbolic functions, equations, spherical triangles. Prerequisites: Mathematics 1 or satisfactory performance on a placement test in Intermediate Algebra and Plane Geometry. Five quarter hours. Winter, Spring. Staff 4. College Algebra. For mathematics, science and engineering majors. Deals with quadratics, ratio, and porportion, binominal theorem, progressions, mathematical induction, inequalities, complex numbers, theory of equations, logarithms, determinants, and selected topics. Prerequisite: Mathematics 1 or satisfactory performance on a placement test on intermediate algebra. Five quarter hours. Autumn, Winter, Spring. Staff 7. Calculus. Designed primarily for mathematics, science, and engineering majors. It deals with functions, limits, differentiation of algebraic and transcendental functions, application of differentiation, parametric and polar equations, differentials, and curvature. Prerequisites: Mathematics 3, 4, 5 and 6 or 10. Four quarter hours. Autumn. Stevenson, Clarke 8. Calculus. A continuation of Mathematics 7. It deals with differential and integral calculus; successive differentation 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, Clarke