Math 259 - Advanced Calculus This course reviews and builds upon some topics covered in elementary calculus. The topics covered in this course are (1) differential calculus of functions of several variables; (2) vector differential calculus; (3) integral calculus of functions of several variables; and (4) vector integral calculus. A combination of problem solving, proofs, and applications is expected of students. There are three in class exams and an in class final exam. The textbook for the course is "Advanced Calculus," by Wilfred Kaplan.