University of Michigan - Shanghai Jiao Tong University Joint Institute


Vv 115: Calculus I 

General information

Credits: Counted as General Elective credits
Prerequisites: 3-4 years high school math including trigonometry
Back ground and Goals: The sequence Vv115-116-215-216 is the standard complete introduction to the concepts
and methods of calculus. It is taken by the majority of students intending to concentrate 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: The course presents the concepts of calculus from four points of view: geometric (graphs), numeric
(tables), symbolic (formulas), and verbal descriptions. Students will develop their reading, writing, and
questioning skills, as well as their ability to work cooperatively. Topics include functions and graphs, derivatives
and their applications to real-life problems in various fields, and an introduction to integration. The classroom
atmosphere is interactive and cooperative. Both individual and team homework is assigned.