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18.06 Linear Algebra

Prereq: Calculus II (GIR)
U (Fall, Spring)
12 Units. REST

Basic subject on matrix theory and linear algebra, emphasizing topics useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, singular value decomposition, and positive definite matrices. Applications to least-squares approximations, stability of differential equations, networks, Fourier transforms, and Markov processes. Uses MATLAB. Compared with 18.700, more emphasis on matrix algorithms and many applications.

Fall: S. G. Johnson
Spring: A. Edelman

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Credit cannot also be received for 18.700

Subjects

http://catalog.mit.edu/subjects/

...Prereq: 6.008 or 6.046[J] ; 18.06 Implicit prerequisites are not listed. For...

Subjects

http://catalog.mit.edu/summer/subjects/

...Prereq: 6.008 or 6.046[J] ; 18.06 Implicit prerequisites are not listed. For...

Mathematics (Course 18)

http://catalog.mit.edu/degree-charts/mathematics-course-18/

General Institute Requirements (GIRs) The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below. Summary of Subject Requirements Subjects Science Requirement 6 Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. 8 Restricted Electives in Science and Technology (REST) Requirement [one subject can be satisfied by 18.03 in the Departmental Program] 2 Laboratory Requirement (12 units) 1 Total GIR Subjects Required for SB Degree 17 Physical Education Requirement Swimming requirement, plus four physical education courses for eight points. Departmental Program Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.

Mathematical Economics (Course 14-2)

http://catalog.mit.edu/degree-charts/mathematical-economics-course-14-2/

...satisfied by 14.30 , and 18.03 or 18.06 in the Departmental Program] 2...

Mathematics with Computer Science (Course 18-C)

http://catalog.mit.edu/degree-charts/mathematics-computer-science-course-18-c/

General Institute Requirements (GIRs) The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below. Summary of Subject Requirements Subjects Science Requirement 6 Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. 8 Restricted Electives in Science and Technology (REST) Requirement [can be satisfied by 18.03 or 18.06 and 18.062[J] (if taken under joint number 6.042[J] ) in the Departmental Program] 2 Laboratory Requirement (12 units) [can be satisfied by 6.009 in the Departmental Program] 1 Total GIR Subjects Required for SB Degree 17 Physical Education Requirement Swimming requirement, plus four physical education courses for eight points. Departmental Program Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.

Department of Aeronautics and Astronautics

http://catalog.mit.edu/schools/engineering/aeronautics-astronautics/

...g., 18.06 Linear Algebra , 18.075 Methods for Scientists and Engineers , or 18.085...

Department of Economics

http://catalog.mit.edu/schools/humanities-arts-social-sciences/economics/

...including 18.100x Real Analysis, a choice between 18.06 Linear Algebra or 18.03...

Department of Mathematics

http://catalog.mit.edu/schools/science/mathematics/

The Department of Mathematics offers training at the undergraduate, graduate, and postgraduate levels. Its expertise covers a broad spectrum of fields ranging from the traditional areas of "pure" mathematics, such as analysis, algebra, geometry, and topology, to applied mathematics areas such as combinatorics, computational biology, fluid dynamics, theoretical computer science, and theoretical physics.

Department of Physics

http://catalog.mit.edu/schools/science/physics/

...Variables with Applications , 18.075 Methods for Scientists and Engineers , and 18.06 Linear Algebra...