• 2024 Putnam Results

    We are very excited to report that our MAryland Putnam team ranked 7th among 477 institutions that participated in the 2024 Putnam math competition. Our team members this year were Daniel Yuan, Isaac Mammel, and Clarence Lam. Daniel Yuan ranked 26th among 3,988 participants. Clarence Lam and Isaac Mammel were recognized for… Read More

  • From Math Olympiads to Diplomacy: Meet Visiting Math Professor Qendrim Gashi

    Maryland Global, published a great interview with our visiting professor (and diplomat), Qendrim Gashi. The interview is available at https://marylandglobal.umd.edu/about/news/math-olympiads-diplomacy-meet-visiting-math-professor-qendrim-gashi Read More

  • Eugenia Brin, Longtime Supporter of Science and Performing Arts at UMD, Dies

    Eugenia Brin, a Russian immigrant and retired NASA scientist who, with her family of accomplished Terps, became an important benefactor of the University of Maryland, died on Dec. 3, 2024. She was 76 years old. The rest of the article can be read here: https://cmns.umd.edu/news-events/news/eugenia-brin-1948-2024 Read More

  • 2024 Michael Brin Dynamical Systems Prize for Young Mathematicians Awardees

    Math is excited to announce that Francisco Arana-Herrera has been awarded the 5th Michael Brin Dynamical Systems Prize for Young Mathematicians.  The prize was shared between Francisco and Rohil Prasad. Details about eh prize and previous winners can be found at  https://science.psu.edu/math/research/dynsys/dynamical-systems-prize-young-mathematicians Read More

  • UMD Launches Award to Recognize Dual Majors in Computer Science and Mathematics

    Starting Spring 2025, the Grant Family Outstanding Achievement Undergraduate Student Award will recognize graduating seniors excelling in both fields. Link to the article can be read here: https://www.cs.umd.edu/article/2024/11/umd-launches-award-recognize-dual-majors-computer-science-and-mathematics Read More
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Description

Basic concepts of linear algebra: vector spaces, applications to line and plane geometry, linear equations and matrices, similar matrices, linear transformations, eigenvalues, determinants and quadratic forms. All sections of the course will use the software system MATLAB. Credit will be granted for only one of the following: MATH 240 or MATH 341 or MATH 461.

Prerequisites

a C- or better in (MATH 131 or MATH141)

Topics

Systems of Linear Equations

Gaussian elimination
Matrix operations
Finding the inverse
Solution spaces

Determinants

Definition
Evaluation
Minors
Cramer's Rule

Vectors in 2- and 3- space

Geometric and algebraic definitions
Dot product
Projections

Vector Spaces

Euclidean space
Subspaces
Linear independence
Basis and dimension
Row space, rank
Length and angle
Gram-Schmidt
Least squares

Linear Transformations

Definition
Kernel and range
Representation as matrices

Eigenvalues and Eigenvectors

Definition
Diagonalization
Orthogonal diagonalization
Symmetric matrices

Applications

Differential equations
Quadratic forms
Numerical methods

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