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Browse materialsMIT 18.02SC · 1. Vectors and Matrices

Multivariable Calculus — 1. Vectors and Matrices

Subjects: Algebra · Calculus · Linear Algebra · Mathematics

Art: Max Brückner (1860 – 1934), Brückner Vielflache Tafel 07 · Public domain

About this course

Source: MIT OpenCourseWare 18.02SC Multivariable Calculus, Fall 2010, Prof. Denis Auroux — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: this unit's sessions in MIT's listing order. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

Instructor
Prof. Denis Auroux
Term
Fall 2010
Level
Undergraduate
What's inside
40 videos · 4 problem sets · 2 exams · 31 solutions · 49 other files
Materials open
Videos here · files on MIT OCW
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Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Session 1: Vectors
11 files
Session 2: Dot Products
Session 3: Uses of the Dot Product: Lengths and Angles
8 files
Session 4: Vector Components
Session 5: Area and Determinants in 2D
7 files
Session 6: Volumes and Determinants in Space
8 files
Session 7: Cross Products
10 files
Session 8: Equations of Planes
Problem Set 1
.Session 9: Matrix Multiplication
7 files
Session 10: Meaning of Matrix Multiplication
Session 11: Matrix Inverses
7 files
Session 12: Equations of Planes II
11 files
Session 13: Linear Systems and Planes
Session 14: Solutions to Square Systems
8 files
Problem Set 2
Session 15: Equations of Lines
7 files
Session 16: Intersection of a Line and a Plane
7 files
Session 17: General Parametric Equations; the Cycloid
9 files
Session 18: Point (Cusp) on Cycloid
Session 19: Velocity and Acceleration
8 files
Session 20: Velocity and Arc Length
8 files
Session 21: Kepler's Second Law
9 files
Problem Set 3
Practice Exam
Session 22: Review of Topics
Session 23: Review of Problems
10 files
Exam