130 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 51, 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. Staff S. 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 proportion, 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 in intermediate algebra and mathematics 3. Five quarter hourse. 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. Clarke, Jensen, Stevenson 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. Clarke, Jensen, Stevenson 131 9. Calculus. A continuation of Mathematics 8. It deals with integral calculus and differential equations; multiple integrals, cen- troids, moments, fluid pressure, and other applications, series, and expansion of functions. Prerequisite: Mathematics 8. Four quarter hours. Spring. Clarke, Jensen, Stevenson 10. Analytic Geometry. The plane and solid analytic geometry 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 coordinates, lines, conic sections, transcendental curves, rectangular, cylindrical and spherical coordinates in three dimensions; planes and quadric surfaces. Prerequisites: Mathematics 3 and 4. Five quarter hours. Winter, Spring. Staff 51. First Course in Algebra. A one quarter course covering the essentials of mathematics. It is designed to qualify students for Mathematics 1. Prerequisites: A knowledge of sufficient fundamentals of algebra, and aptitude for mathematics as will predict likely success in the course. Five quarter hours of terminal credit. Autumn, Winter, Spring. Bates 54. Elements of Plane Geometry. A brief, one quarter course designed for those who did not complete Plane Geometry in high school and need it as a prerequisite to further mathematics courses. This course will deal with the essential concepts, theorems, and mensuration. It will be given when sufficient numbers of students indicate it is needed. Prerequisite: Arithmetic. Five quarter hours of terminal credit. Bates DEPARTMENT OF PRE-ARCHTTECTURE The architectural program at the University of Utah requires five years to complete. Weber College does not offer any of the specialized classes in architecture which are given at the University of Utah beginning the Freshman year. Since these classes must be taken in sequence, a student will spend at least five years at the University regardless of previous classes which he may have taken at Weber College. A student may not enter the five-year program at the University if he is required to take any remedial courses in mathematics or English. For this reason a student having deficiencies in these fields may find it to his advantage to spend one year at Weber College before entering the five-year program at the University. In a few unusual cases, two years at Weber might be