MIT 허버트 그로스 교수 미적분학 특강 자료 링크

Part I: Vector Arithmetic
Lecture 01 Multivariable Calculus
Lecture 02 "Arrow" Arithmetic
Lecture 03 Three dimensinal vectors
Lecture 04 Dot product
Lecture 05 Cross product
Lecture 06 Equations

Part II: Vector Calculus
Lecture 01 Vector of Scalar variable
Lecture 02 Vectors
Lecture 03 Vectors
Lecture 04 Polar coordinates

Part III: Partial Derivatives
Lecture 1 N-Dimensional Vectors
Lecture 2 Calculus of Sevral Variables
Lecture 3 Directional Derivatives
Lecture 4 Chain Rule
Lecture 5 Integrals Involving Parameters
Lecture 6 Multivariable Calculus.

Part IV: Matrix Algebra
Lecture 1 Linearity Revisited
Lecture 2 Matrix
Lecture 3 Inverting a Matrix
Lecture 4 Inverting More General Systems of Equations
Lecture 5 Peak in Several Variables

Part V: Multiple Integration
Lecture 1 Double Multiple Sums
Lecture 2 Theorem
Lecture 3 Multiple Integration and Jacobian
Lecture 4 Introduction
Lecture 5 Green's Theorem