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Multivariable Calculus | Mathematics | MIT OpenCourseWare. 18.02SC | Fall 2010 | Undergraduate. Multivariable Calculus. Course Description. This course covers differential, integral and vector calculus for functions of more than one variable.
- Syllabus
At MIT it is labeled 18.02 and is the second semester in the...
- 1. Vectors and Matrices
Just like every other topic we cover, we can view vectors...
- 2. Partial Derivatives
2. Partial Derivatives - Multivariable Calculus |...
- 3. Double Integrals and Line Integrals in the Plane
We will conclude the unit by learning Green’s theorem which...
- 4. Triple Integrals and Surface Integrals in 3-Space
4. Triple Integrals and Surface Integrals in 3-Space -...
- Final Exam
Final Exam - Multivariable Calculus | Mathematics | MIT...
- Part B: Matrices and Systems of Equations
Part B: Matrices and Systems of Equations - Multivariable...
- Part C: Parametric Equations for Curves
Part C: Parametric Equations for Curves - Multivariable...
- Part C: Lagrange Multipliers and Constrained Differentials
Part C: Lagrange Multipliers and Constrained Differentials -...
- Part A: Double Integrals
Part A: Double Integrals - Multivariable Calculus |...
- Syllabus
Download Course. This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term.
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Multivariable Calculus | Mathematics | MIT OpenCourseWare. Browse Course Material. Syllabus. 1. Vectors and Matrices. Part A: Vectors, Determinants and Planes. Part B: Matrices and Systems of Equations. Part C: Parametric Equations for Curves. Exam 1.
Video Lectures | Multivariable Calculus | Mathematics | MIT OpenCourseWare. 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.
What you'll learn. How to visualize functions of 2 and 3 variables using level curves and level surfaces. How to compute partial derivatives, directional derivatives, and gradients. How to optimize multivariable functions subject to constraint equations.