
Instructor: Jong Kim, McB 526, Phone: 2312795, email: kim@math.vt.edu
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 takehome quizzes, three inclass midterm tests and one inclass final exam.
Your final grade will be based on the total score points. There will
be no curve.
Test Dates:
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.
http://www.honorsystem.vt.edu/
All inclass tests are closed book
tests. All graded works are covered by the Honor Code.