Undergraduate Courses Algebra I Algebra II Calculus Calculus With Applications Calculus With Theory I Calculus With Theory II Linear Algebra Linear Algebra Multivariable Calculus Multivariable Calculus ...All Graduate Courses Advanced Analytic Methods in Science and Engineering Advanced Calculus for Engineers Advanced Complexity Theory Advanced Partial Differential Equations with Applications Algebraic Geometry Combinatorial Theory: Hyperplane Arrangements Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics Computational Science and Engineering I Differential Analysis Differential Analysis ...All Web Links Master's Degree Programs Mathematics Departments	Calculus With Theory II Course Level: Undergraduate Offered by: Massachusetts Institute of Technology (MIT) Massachusetts, United States Course Instructor(s): Prof. James Munkres, Dr. Anna Lachowska Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Greens theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes theorem; applications. Chapter A (PDF - 2,7 MB) Chapter B1 (PDF - 2,1 MB) Chapter B2 (PDF - 1,1 MB) Chapter C (PDF - 2,4 MB) Chapter D (PDF - 1,9 MB) Chapter E (PDF - 2,6 MB) Chapter F (PDF - 1,1 MB)