COURSE SYLLABUS Course Number: MATH6010 Course Title: VECTOR CALCULUS Credit Hours: 3 Prerequisites: MATH2630 and MATH2660 or departmental approval. Corequisite: Objectives: To develop notions and methods of vector calculus, tensor analysis and differential forms. Applications to physics. Course Content: Vector-valued functions: differentiation and integration. (1 week). The change of variables theorem. (1 week). Vector fields: dynamics and differential equations. (1 week). Integrals over paths and surfaces. (1 week). Green's theorem. (1 week). Stoke's theorem. (1 week). Conservative vector fields. (1 week). Gauss' theorem. (1 week). Applications to physics and engineering. (2 weeks) Tensors. (2 weeks). Differential forms (volume form). (1 week). Possible textbook: Vector Calculus by J. E. Marsden and A. J. Tromba Grading and Evaluation procedures: Tests, home assignments, and the final exam. Statement related to policies on unannounced quizzes and class attendance and participation: Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.