This is the public-facing page for the University of Michigan’s Math 215
Math 215 is a first course in multivariable and vector calculus. It completes the standard Calculus sequence, which consists of Math 115 (Calculus I, single variable, largely differential calculus), Math 116 (Calculus II, single variable, largely integral calculus), and Math 215. The emphasis in this course is on concepts and solving problems rather than theory and proof. The course topics are described more completely on the Material Covered page. Broadly, the course considers the extension of calculus to higher dimensions. This requires a discussion of three dimensional geometry, including vectors and vector functions, functions of two and three variables, vector fields, surfaces, and the theorems of vector calculus.
Important Course Information: If you are looking for the course site for a current offering of Math 215, you should look for your current Canvas course site. This site has general information about the course, which does not include any deadline and assignment information that you need when taking the course.
Students who are considering a mathematics major should talk with a mathematics advisor to determine if this course, Math 205 (Calculus of Several Variables), or Math 285 (Honors Multivariable and Vector Calculus) would be the best fit in their course of study. All three courses cover some of the same material, but from different perspectives and in different formats.
For students who need to learn linear algebra, either Math 214 (Applied Linear Algebra) or Math 217 (Linear Algebra) would be an appropriate subsequent course. Students considering further study in mathematics should consider Math 217 (and should talk to a mathematics advisor!). For students who intend to take only one further mathematics course and need differential equations, Math 216 (Introduction to Differential Equations) is an appropriate course.
