**Section:**103

**Background and Goals:** The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

**Content:** Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly computer lab using MAPLE.

**Alternatives:** MATH 285 (Honors Calculus III) is a somewhat more theoretical course which covers the same material. MATH 255 (Applied Honors Calculus III) is also an alternative.

**Subsequent Courses:** For students intending to major in mathematics or who have some interest in the theory of mathematics as well as its applications, the appropriate sequel is MATH 217 (Linear Algebra). Students who intend to take only one further mathematics course and need differential equations should take MATH 216 (Intro. to Differential Equations).

*NOTE: Data maintained by department in Wolverine Access. If no textbooks are listed below, check with the department.*

**IMPORTANT:**These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in

**prior academic terms**. The syllabi

**do not**necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

*Click the button below to view historical syllabi for MATH 215 (UM login required)*

View Historical Syllabi

CourseProfile (ART)