# 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