The theory and technique of both differentiation and integration are studied during the first term, with a few simple applications, mostly geometric in character. The second term affords opportunity for many practical applications from various fields of engineering. The aim of a set of general review problems during the last few weeks is to teach not only how to use the methods previously studied, but when to use them--i.e., whether the nature of a problem suggests an exact analytical solution, or an approximate or graphical solution. _Texts: Granville-Smith-Longley, “Elements of the Differential and Integral Calculus”; N. C. E. “Laboratory Manual for a Course in Calculus”._ Math 31, 32. Two advanced courses, Differential Equations (first term) and Vector Analysis (second term), are optional for Juniors in addition to the work of the regular curriculum. No attempt will be made to give an exhaustive mathematical treatment, but certain parts of these subjects will be taught together with other related material necessary for the solution of important problems in all branches of engineering. _Text: Doherty and Keller, “Mathematics of Modern Engineering”. Vol I._ Math 31 Differential Equations. First and second order equations of common occurrence; linear differential equations of any order with constant coefficients, and systems of linear equations; determinants; Fourier series and harmonic analysis. Math 32 Vector Analysis. Algebra and calculus of vectors; line and surface integrals, and potential theory; vector operators, and their application to electromagnetic theory and the derivation of certain partial differential equations of mathematical physics. DEPARTMENT OF MECHANICS Professor B. S. Koshkarian Asst. Prof. J. Joffe Mr. P. O. Hoffmann The courses in mechanics are designed to provide the student with a sound foundation in a subject which occupies a position of basic importance in all branches of engineering and especially in the analysis and design of machines and structures. While some emphasis is placed on routine calculations and development of formulas, the main objective of the courses is to present general methods of attack and a scientific point of view. The greatest emphasis is placed upon the ability to carry on sustained work at reasonably high levels. A considerable portion of the time in the courses is devoted to the solution of problems of a practical nature and largely drawn from the field of engineering. In connection with these problems stress is laid on clearness of statement and accuracy of formulation and solution. The technique and methodology are considered of extreme importance in undergraduate study.