Calculus
Calculus of several variables. Topics as in 18.02 but with more focus on mathematical concepts. Vector algebra, dot product, matrices, determinant. Functions of several variables, continuity, differentiability, derivative. Parametrized curves, arc length, curvature, torsion. Vector fields, gradient, curl, divergence. Multiple integrals, change of variables, line integrals, surface integrals. Stokes' theorem in one, two, and three dimensions.
Fall 2010 · Calculus of Several Variables
This is a variation on {{% resource_link "b84a999c-a59b-48cb-9d03-5706ee360d81" "*18.02 Multivariable Calculus*" %}}. It covers the same topics as in 18.02, but with more focus on mathematical concepts. Acknowledgement Prof. McKernan would like to acknowledge the contributions of Lars Hesselholt to the development of this course.
Readings
- Colley, Susan Jane. Vector Calculus . 3rd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2006. ISBN: 9780131858749.
Prerequisites & course information
Prereq: Calculus I (GIR) U (Fall) 5-0-7 units. CALC II Credit cannot also be received for 18.02 , 18.02A , CC.1802 , ES.1802 , ES.182A
Sources
- Course catalogue ↗2026–2027
- MIT OpenCourseWare ↗Fall 2010
- MIT OCW syllabus ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.