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MATH 51. Linear Algebra and Differential Calculus of Several Variables. 5 Units.

Geometry and algebra of vectors, matrices and linear transformations, eigenvalues of symmetric matrices, vector-valued functions and functions of several variables, partial derivatives and gradients, derivative as a matrix, chain rule in several variables, critical points and Hessian, least-squares, , constrained and unconstrained optimization in several variables, Lagrange multipliers. Prerequisite: 21, 42, or the math placement diagnostic (offered through the Math Department website) in order to register for this course.

School of Engineering

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...The math electives list consists of: MATH 51 , MATH 104 , MATH 108 , MATH 109 , MATH...

Undergraduate Major Unit Requirements

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...181W , MATH 109 , MATH 110 , MATH 120 , MATH...Energy 48-50 49-51 97-101 - CEE...

Aeronautics and Astronautics

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...the MATH series (51, 52, 53). It is recommended that students taking the MATH series...

Bioengineering

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...rather than MATH 51 Linear Algebra and Differential Calculus of Several Variables and MATH 53...

Chemical Engineering

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...one or more of the following: MATH 51 and MATH 52 in lieu of CME...

Civil and Environmental Engineering

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...Engineers (or Math 51 Linear Algebra and Differential Calculus of Several Variables and MATH 53...

Computer Science

http://exploredegrees.stanford.edu/schoolofengineering/computerscience/

...The math electives list consists of: MATH 51 , MATH 104 , MATH 108 , MATH 109 , MATH...

Electrical Engineering

http://exploredegrees.stanford.edu/schoolofengineering/electricalengineering/

...and Math 21. 2 MATH 52 may be taken in place of MATH 51 . CME...

Management Science and Engineering

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...Students are expected to have completed both MATH 51 Linear Algebra and Differential Calculus of...

Mechanical Engineering

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...Mechanics . ** Prerequisites: MATH 19 Calculus , MATH 20 Calculus , MATH 21 Calculus , MATH 51 Linear Algebra...

Economics

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...including some upper-division math, statistics, and computer...only after completing ECON 51 Economic Analysis II...

Mathematical and Computational Science

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...required Math courses ( MATH 51 Linear Algebra and Differential Calculus of Several Variables / MATH 52...

Mathematics

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...MATH 20 , and MATH 21 . There are three options for studying multivariable mathematics: MATH 51...

Public Policy

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...and microeconomics at a level equivalent to MATH 51 Linear Algebra and Differential Calculus of...