Summer 2009 Course Descriptions

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 Essential Calculus by James Stewart,
Thomson Brooks/Cole, 2007, ISBN 049510955X

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, 5th Edition, ISBN 0716749920

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, 4th Edition, ISBN 0136009263

Differential Equations with Applications (110.302)
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. Syllabus

Elementary Diff Equations & Boundary Value Problems by Boyce & DiPrima, 8th edition, ISBN 0471433381