Course Contract
Math 4574, Fall 2017,  CRN:85533

Instructor: Jong Kim, McB 526, Phone: 231-2795, e-mail:

Class Time and Place: MWF  11:15am – 12:05pm,   HOLD 110

Office Hours:   MW: 1:00pm – 3:00pm,  Thur: 2:00pm – 3:00pm.

  Special office hours can be arranged on individual request.

Course Objectives: In this course we will study basic techniques of vector calculus and complex variables which are frequently used in physical sciences.

Prerequisites: Math 2204

Course Contents: The following topics will be covered.

1. Application of vectors to geometry. The dot product and the cross product  with applications.

2. Differential Calculus of vector functions. Vector fields with applications.  Gradient, Divergence and Curl operations.

3. Integral Calculus of vector fields.  Line Integrals and Surface integrals.  Green’s theorem, Divergence theorem and Stokes’ theorem.

4. Algebra of complex numbers and elementary complex functions.

5. Differential Calculus of complex functions.

6. Complex line integrals and Cauchy’s theorem. Residues.

References for Course Materials:  There is no required textbook.  However, it may be helpful if you have access to the following books:

1. Textbook of Math 2204

2. Vector Calculus by Marsden and Tromba (textbook of Math3214, any old edition is fine)

3. Advanced Engineering Mathematics by P.V. O’Neil (any old edition is fine)

 Evaluation: There will be three take-home quizzes, three in-class midterm tests and one in-class final exam.

      Your final grade will be based on the total score points. There will be no curve.

Test Dates:

There will be no make-up test.

Honor system policy:   The Undergraduate Honor Code pledge that each member of the university community agrees to abide by states: “As a Hokie, I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.”

Students enrolled in this course are responsible for abiding by the Honor Code.

All in-class tests are closed book tests. All graded works are covered by the Honor Code.