Calculus IV is an intensive, higher-level course in mathematics that builds on Calculus II and III. The course aims at serving the needs of a wide student audience, including students in engineering, mathematics, the physical and life sciences, and economics. It is constructed around multiple focal points with the intention of helping students become creative and efficient problem solvers.
This course focuses on the calculus of real- and vector-valued functions of one and several variables. Topics covered include infinite sequences and series, convergence tests, power series, Taylor series, and polynomials and their numerical approximations. Applications of multiple integrals and integral transformations in two and three dimensions are also covered. It also discusses topics of vector integral calculus such as line and surface integrals, theorems of Green, Gauss and Strokes, and their applications to the physical sciences. This course also provides an introduction to first-order and second-order differential equations.
Advisory: This is an upper level mathematics course. It is advisable to have knowledge equivalent to Calculus I, II and III in order to succeed in this course.
Semester Hours: 3
Preview the Online Syllabus
(Please go to our bookstore, MBS Direct in order to view the correct materials for each course by semester as the contents of the actual online syllabus may differ from the preview due to updates or revisions)