Lec 1: Dot product | MIT 18.02 Multivariable Calculus, Fall 2007
38:40Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007
52:51Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007
51:04Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007
49:02Lec 5: Parametric equations for lines and curves | MIT 18.02 Multivariable Calculus, Fall 2007
50:50Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007
48:04Lec 7: Review | MIT 18.02 Multivariable Calculus, Fall 2007
49:50Lecture 8: Level Curves; Partial Derivatives; Tangent Plane Approximation (18.02)
46:13Lecture 9: Max-Min Problems; Least Squares (18.02)
49:44Lecture 10: Second Derivative Test; Boundaries & Infinity (18.02)
52:18Lecture 11: Differentials; Chain Rule (18.02)
50:09Lecture 12: Gradient; Directional Derivative; Tangent Plane (18.02)
50:10Lecture 13: Lagrange Multipliers (18.02)
50:10Lecture 14: Non-Independent Variables (18.02)
49:11Lecture 15: Partial Differential Equations; Review (18.02)
45:23Lecture 16: Double Integrals (18.02)
48:00Lecture 17: Double Integrals in Polar Coords; Applications (18.02)
51:30Lecture 18: Change of Variables (18.02)
49:55Lecture 19: Vector Fields and Line Integrals in the Plane (18.02)
51:09Lecture 20: Path Independence and Conservative Fields (18.02)
50:23Lecture 21: Gradient Fields and Potential Functions (18.02)
50:11Lecture 22: Green's Theorem (18.02)
46:45Lecture 9: Max-Min Problems; Least Squares (18.02)
The session explores methods for solving maximum and minimum problems in multivariable calculus. It also covers the principle of least squares for data fitting and regression analysis.
Lecture 09: Max-min problems; least squares.
View the complete course at: http://ocw.mit.edu/18-02SCF10
More courses at http://ocw.mit.edu
Lecture 8: Level Curves; Partial Derivatives; Tangent Plane Approximation (18.02)
Next · Lecture 10Lecture 10: Second Derivative Test; Boundaries & Infinity (18.02)