[MAT 260] Basic Linear Algebra

Course Objectives

At the end of this course, the student will learn:

  • basic concepts used in advanced vector analysis
  • basic concepts in linear algebra and their applications for the analysis and solution of engineering/mathematical problems

Course Content

Matrices, determinants and systems of linear equations. Vector spaces, the Euclidian space, inner product spaces, linear transformations. Eigenvalues, diagonalization.

[MAT 219] Introduction to Differential Equations

Course Objectives

By the end of this course, a student will learn:

  • basic classification of differential equations (first order, second order, linear, separable, etc.) 
  • standard solution methods for first order differential equations
  • basic linear algebra needed to find eigenvalues and eigenvectors 
  • standard solution methods for systems of linear differential equations
  • correspondence between linear second order differential equations and physical spring systems
  • computation of Laplace transforms, and use to solve differential equations with discontinuous forcing functions 
  • applying separation of variables on partial differential equations
  • computing Fourier series of functions; especially even and odd extensions
  • deriving and writing the solution to the heat equation 

[MAT 210] Applied Mathematics for Engineers

Course Objectives

This course is intended to give second year engineering students a foundation in the theory and methods for numerical approximation of solutions in linear algebra and differential equations relevant to their fields.  Topics include solutions of linear systems of equations via LU decomposition, least squares solutions via QR decomposition, adjacency matrices and vibration of complex spring systems as well as first order approximation of truss system stability, discretization of functions and numerical approximations to differential equations, and the discrete and fast Fourier transforms.


Course Content

Introduction. Vector differential and integral calculus. Matrices. Determinant. Systems of linear equations. Characteristic values and characteristic vectors of matrices. Introduction to numerical methods.

[MAT 120] Calculus for Functions of Several Variables


[MAT 119] Calculus with Analytic Geometry

[MAT 100] Precalculus

[MAT 101 Section 1] Mathematics for Social Sciences