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Course Info

Instructor:
  • Prof. Denis Auroux
Course Number:
  • 18.02
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
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Course Info
Multivariable Calculus
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Lecture 1: Dot Product
Lecture 2: Determinants
Lecture 3: Matrices
Lecture 4: Square Systems
Lecture 5: Parametric Equations
Lecture 6: Kepler's Second Law
Lecture 7: Exam Review
Lecture 8: Partial Derivatives
Lecture 9: Max-Min and Least Squares
Lecture 10: Second Derivative Test
Lecture 11: Chain Rule
Lecture 12: Gradient
Lecture 13: Lagrange Multipliers
Lecture 14: Non-Independent Variables
Lecture 15: Partial Differential Equations
Lecture 16: Double Integrals
Lecture 17: Polar Coordinates
Lecture 18: Change of Variables
Lecture 19: Vector Fields
Lecture 20: Path Independence
Lecture 21: Gradient Fields
Lecture 22: Green's Theorem
Lecture 23: Flux
Lecture 24: Simply Connected Regions
Lecture 25: Triple Integrals
Lecture 26: Spherical Coordinates
Lecture 27: Vector Fields in 3D
Lecture 28: Divergence Theorem
Lecture 29: Divergence Theorem (cont.)
Lecture 30: Line Integrals
Lecture 31: Stokes' Theorem
Lecture 32: Stokes' Theorem (cont.)
Lecture 33: Maxwell's Equations
Lecture 34: Final Review
Lecture 35: Final Review (cont.)

Course Info

Instructor:
  • Prof. Denis Auroux
Course Number:
  • 18.02
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
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