Mathematics: Applied Linear Algebra (B)

About MATH 2522 B

Vectors, matrices, linear independence, vector spaces (with focus on real n-space), determinants, linear transformations, eigenvalues and eigenvectors. Applications from engineering and the sciences incorporated through required computer assignments. Credit not given for both MATH 2522 and MATH 2544. Prerequisite: MATH 1248 or MATH 1242.

Notes

Prereqs enforced by the system: MATH 1248 or MATH 1242; Open to Degree and PACE students

Section Description

Course Description:
Vectors, matrices, linear independence, vector spaces (with focus on real n-space), determinants, linear transformations, eigenvalues and eigenvectors. Applications from engineering and the sciences incorporated through required computer assignments. Credit not given for both MATH 122 and MATH 124. Prerequisite: MATH 022 or MATH 023. Credits 3.0;
Detailed list of topics:
Matrices and Systems of Linear Equations,
Echelon Form and Gauss-Jordan Elimination,
Vector Spaces and Subspaces (with focus on real n-space),
Linear Independence in real n-space,
Bases and Dimensions,
Curve Fitting, Traffic Flow,
Addition, Scalar Multiplication, and Matrix Multiplication,
Symmetric Matrices and Trace,
Inverse of a Matrix,
Matrix Transformations, Rotations, Dilations,
Linear Transformations and Computer Graphics,
Markov Chains and Population Movements,
A Communication Model (Digraphs),
Determinants and Properties of Determinants,
Eigenvectors and Eigenvalues,
Demography, Weather Prediction Example, and Leslie Matrix Models,
The Column Space, Rank, and the Rank-Nullity Theorem,
One-to-One Transformations and Inverse Transformations,
Dot Product, Norm, Angle, Distance,
Least Squares

Section Expectation

Topics will be presented with a level of depth and rigor appropriate for students pursuing degrees in technical fields such as mathematics, statistics, engineering, or the physical sciences.

Materials:
WebAssign access for Linear Algebra with Applications, 9th edition, by Garreth Williams ISBN 1284154696 . WebAssign includes access to an e-text, as well as homework exercises.

Matlab Assignments:
No prior experience with Matlab is assumed. Matlab is used throughout the course and is available on the UVM CEMS computers. It can be downloaded to your computer (for free): https://www.uvm.edu/cems/installing_matlab_students

Evaluation

Weekly homework, 5 Matlab assignments, 6 quizzes, 2 midterms and 1 final exam

Important Dates

Courses may be cancelled due to low enrollment. Show your interest by enrolling.

Resources

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• PACE Course Pricing
• Textbooks

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