In the sophomore year the same division of time between classroom recitations and written exercises is continued. Here the student adds a powerful tool to his equipment in the theory of the differential and integral calculus. Applications of the methods studied include many practical problems from various types of engineering work. Beside the minimum requirements for completing the courses mentioned above, a large number of extra problems is included to provide further training for students of superior ability. For those who plan to go into fields of research or to continue their studies after graduation, the Department offers certain advanced courses designed as preparation for graduate work. These may be elected by upper classmen in addition to the regular courses. SUBJECTS OF INSTRUCTION in the DEPARTMENT OF MATHEMATICS Math 1 Freshman Mathematics. In order to enable him to handle accurately and efficiently the mathematics of engineering subjects, the student is given a thorough training in the analysis and solution of problems, and in the performance of numerical calculations, including the use of slide-rule and logarithmic methods. The following subject matter will be included: Plane Trigonometry: review of the solution of right and oblique triangles and fundamental trigonometric analysis. Geometry: review of the use of mensuration formulas for plane and solid figures. Algebra: review of fundamental operations, and simplification of fractional forms; solution of equations and simultaneous equations, linear and quadratic, and the approximate solution of equations of higher degree; exponents and radicals; complex numbers, variation, binominal theorem, and progressions (with applications to compound interest and annuities). Analytic Geometry: fundamental formulas; general curve plotting; equations of the straight line, circle and conic sections (with applications); polar coordinates; translation and rotation of axes; and an introduction to solid analytic geometry. _Texts: Oglesby and Cooley, “Plane Trigonometry”; Pettit and Luteyn, “College Algebra”; H. B. Phillips, “Analytic Geometry”._ Math 21 Calculus. Prerequisite, Math 1. Topics include the technique of differentiation; maxima and minima, rates, curvature, parametric equations, differentials, series, and partial differentiation; technique of integration; areas, volumes, lengths, surfaces, centroids, moments of inertia, fluid pressure, work, multiple integrals, and approximate integration by Simpson’s Rule.