Summer 2017 Courses
All courses are taught from June 12 to August 4, 2017.
Add/Drop dates follow Summer Programs deadlines.
Calculus II (110.109) Syllabus
Differential and integral calculus. Includes analytic geometry, functions, limits, integrals and derivatives, polar coordinates, parametric equations, Taylor’s theorem and applications, infinite sequences and series. Some applications to the physical sciences and engineering will be discussed, and the courses are designed to meet the needs of students in these disciplines. 4 credits
Single Variable Calculus: Early Transcendentals by James Stewart, Thomson Brooks/Cole, 7th Ed, ISBN 9780321644688
Calculus III (110.202) Syllabus
Calculus of functions of more than one variable: partial derivatives, and applications; multiple integrals, line and surface integrals; Green’s Theorem, Stokes’ Theorem, and Gauss’ Divergence Theorem. Prerequisite: 110.107, 110.109, or 110.113. 4 credits
Vector Calculus by Marsden & Tromba, Freeman, 6th Edition, ISBN 9781429215084
Linear Algebra (110.201) Syllabus
Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations. Prerequisite: Calculus I. Recommended: Calculus II. 4 credits
Linear Algebra with Applications by Bretscher, Prentice, 5th Edition, ISBN9780321796974
Differential Equations with Applications (110.302) Syllabus
This is an applied course in ordinary differential equations, which is primarily for students in the biological, physical and social sciences, and engineering. Techniques for solving ordinary differential equations are studied. Topics covered include first order differential equations, second order linear differential equations, applications to electric circuits, oscillation of solutions, power series solutions, systems of linear differential equations, autonomous systems, Laplace transforms and linear differential equations, mathematical models (e.g., in the sciences or economics). Prerequisite: Calculus II.
Elementary Diff Equations & Boundary Value Problems by Boyce & DiPrima, Wiley, 9th edition, ISBN 9781119925064