## MATH 104: Applied Matrix Theory

Linear algebra for applications in science and engineering. The course introduces the key mathematical ideas in matrix theory, which are used in modern methods of data analysis, scientific computing, optimization, and nearly all quantitative fields of science and engineering. While the choice of topics is motivated by their use in various disciplines, the course will emphasize the theoretical and conceptual underpinnings of this subject. Topics include orthogonality, projections, spectral theory for symmetric matrices, the singular value decomposition, the QR decomposition, least-squares methods, and algorithms for solving systems of linear equations; applications include clustering, principal component analysis and dimensionality reduction, regression.
MATH 113 offers a more theoretical treatment of linear algebra.
MATH 104 and
ENGR 108 cover complementary topics in applied linear algebra. The focus of
MATH 104 is on algorithms and concepts; the focus of
ENGR 108 is on a few linear algebra concepts, and many applications. Prerequisites:
MATH 51 and programming experience on par with
CS 106A.

Terms: Aut, Win, Spr, Sum
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Candes, E. (PI)
;
Kim, G. (PI)
;
Amar, S. (TA)
;
Blair, H. (TA)
;
Borges Prado, L. (TA)
;
Brink, T. (TA)
;
Chu, Y. (TA)
;
Kim, D. (TA)
;
Nataraj, K. (TA)
;
Tang, X. (TA)
;
Zhang, S. (TA)
;
Zhu, J. (TA)

## MATH 113: Linear Algebra and Matrix Theory

Algebraic properties of matrices and their interpretation in geometric terms. The relationship between the algebraic and geometric points of view and matters fundamental to the study and solution of linear equations. Topics: linear equations, vector spaces, linear dependence, bases and coordinate systems; linear transformations and matrices; similarity; dual space and dual basis; eigenvectors and eigenvalues; diagonalization. Includes an introduction to proof-writing. (
Math 104 offers a more application-oriented treatment.) Prerequisites:
Math 51

Terms: Aut, Win, Spr
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Chatterjee, S. (PI)
;
Malinnikova, E. (PI)
;
Spink, H. (PI)
...
more instructors for MATH 113 »

Instructors:
Chatterjee, S. (PI)
;
Malinnikova, E. (PI)
;
Spink, H. (PI)
;
Angelo, R. (TA)
;
Bosch, H. (TA)
;
Murthy, A. (TA)
;
Yang, Y. (TA)

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