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Prof. Denis Auroux
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Mathematics
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Fall 2007
Level
Undergraduate
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Calculus
Differential Equations
Linear Algebra
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18.02 | Fall 2007 | Undergraduate
Multivariable Calculus
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Syllabus
Calendar
Readings
Lecture Notes
Assignments
Exams
Tools
Video Lectures
Readings
pdf
CV. Changing Variables in Multiple Integrals
pdf
D. Determinants
pdf
G. Gravitational Attraction
pdf
I. Limits in Iterated Integrals
pdf
K. Kepler's Second Law
pdf
LS. Least Squares Interpolation
pdf
M. Matrices and Linear Algebra
pdf
N. Non-independent Variables
pdf
P. Partial Differential Equations
pdf
SD. Second Derivative Test
pdf
TA. The Tangent Approximation
pdf
1. Vectors and Matrices
pdf
1. Vectors and Matrices
pdf
V1. Plane Vector Fields
pdf
2. Partial Differentiation
pdf
2. Partial Differentiation
pdf
V2. Gradient Fields and Exact Differentials
pdf
3. Double Integrals
pdf
3. Double Integrals
pdf
V3. Two-dimensional Flux
pdf
4. Line Integrals in the Plane
pdf
4. Line Integrals in the Plane
pdf
V4. Green's Theorem in Normal Form
pdf
5. Triple Integrals
pdf
5. Triple Integrals
pdf
V5. Simply-Connected Regions
pdf
6. Vector Integral Calculus in Space
pdf
6. Vector Integral Calculus in Space
pdf
V6. Multiply-connected Regions; Topology
pdf
V7. Laplace's Equation and Harmonic Functions
pdf
V8. Vector Fields in Space
pdf
V9. Surface Integrals
pdf
V10. The Divergence Theorem
pdf
V11. Line Integrals in Space
pdf
V12. Gradient Fields in Space
pdf
V13. Stokes' Theorem
pdf
V14. Some Topological Questions
pdf
V15. Relation to Physics
Course Info
Instructor
Prof. Denis Auroux
Departments
Mathematics
As Taught In
Fall 2007
Level
Undergraduate
Topics
Mathematics
Calculus
Differential Equations
Linear Algebra
Learning Resource Types
theaters
Lecture Videos
assignment
Problem Sets
grading
Exams with Solutions
notes
Lecture Notes
Download Course