Lec 1: Dot product | MIT 18.02 Multivariable Calculus, Fall 2007

Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007

Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007

Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007

Lec 5: Parametric equations for lines and curves | MIT 18.02 Multivariable Calculus, Fall 2007

Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007

Lec 7: Review | MIT 18.02 Multivariable Calculus, Fall 2007

Lecture 8: Level Curves; Partial Derivatives; Tangent Plane Approximation (18.02)

Lecture 9: Max-Min Problems; Least Squares (18.02)

Lecture 10: Second Derivative Test; Boundaries & Infinity (18.02)

Lecture 11: Differentials; Chain Rule (18.02)

Lecture 12: Gradient; Directional Derivative; Tangent Plane (18.02)

Lecture 13: Lagrange Multipliers (18.02)

Lecture 14: Non-Independent Variables (18.02)

Lecture 15: Partial Differential Equations; Review (18.02)

Lecture 17: Double Integrals in Polar Coords; Applications (18.02)

Lecture 18: Change of Variables (18.02)

Lecture 19: Vector Fields and Line Integrals in the Plane (18.02)

Lecture 20: Path Independence and Conservative Fields (18.02)

Lecture 21: Gradient Fields and Potential Functions (18.02)

Lecture 22: Green's Theorem (18.02)