UNIVERSITY OF FLORIDA MS. 325.-Advanced General Mathematics. 3 hours. 3 credits. Prerequi- site: C-42. Offered 1, 2, 3. Continuation of the arithmetic and algebraic topics of elementary general mathe- matics with new material added. The deeper meaning of laws underlying number operations. Some properties of positive whole numbers. Higher functional analysis. Valuable to prospective teachers of mathematics and others who wish to continue some mathematical work without becoming specialists in pure mathematics. MS. 326.-Advanced General Mathematics. 3 hours. 3 credits. Prerequi- site: C-42. May precede, follow, or be taken simultaneously with MS. 325. Offered 2, 3. The facts and processes of elementary Euclidean geometry, with the study of numerous generalizations of theorems and the manner in which geometry, algebra, trigonometry and analytic geometry are related. The nature of proof. Types of proof. Problems in geometric constructions. Inequalities. The locus idea treated both syn- thetically and analytically. Valuable to prospective teachers and to other students majoring in mathematics. MS. 343.-Mathematical Analysis for Economists. 4 hours. 4 credits. Pre- requisite: MS. 106 or its equivalent. Offered 1. A course in mathematical analysis, including differential calculus, for students planning research in economics or other social sciences. Not open for credit to stu- dents already having credit in MS. 353 or its equivalent. MS. 353.-Differential Calculus. 4 hours. 4 credits. Prerequisite: MS. 105- 106 or its equivalent. Offered 1, 2, 3. Not open for credit to students who have taken credit for MS. 343. Differentiation and integration. Typical problems solved by these methods are calculation of rates of change, computation of areas, volumes, moments of inertia, energy, power, and many others. Various advanced topics of special value to engineers and scientists. Open to University College students. MS. 354.-Integral Calculus. 4 hours. 4 credits. The second half of the course MS. 353-354. Prerequisite: MS. 353 or its equivalent. Offered 1, 2, 3. MS. 355.-Intermediate Calculus. 3 hours. 3 credits. Prerequisite: MS. 353- 354 or its equivalent. Offered 2, 3. This course is designed to bridge the gap between the first course in the calculus and graduate courses. It covers hyperbolic functions, additional methods of integration, and some topics in solid analytic geometry with emphasis on partial differentiation and multiple integration. It completes and supplements MS. 353-354. MS. 360.-(Formerly MS. 340).-Graphical and Numerical Analysis. 2 hours, and 2 hours laboratory. 3 credits. Prerequisite: MS. 354. Offered 2. The graphical solution of special problems; the use of various kinds of graph paper; the construction and use of simple nomograms; numerical and graphical integration and differentiation; the use of mathematical tables and interpolation therein; the use of computing machines, the planimeter, slide rules of special types; the preparation and arrangement of problems for computation. MS. 385.-Advanced Trigonometry. 3 hours. 3 credits. Prerequisite: MS. 105-106 or its equivalent. Offered 1. The first part of the course explores special topics in plane trigonometric analysis. Then follows a development of the formulas relating to triangles formed by great circles on a sphere. Special overall emphasis is on spherical trigonometry. The statement "Offered 1" means offered first semester; 2, second semester; 3, summer session.