Course Abstract Details

MATH-210, Linear Algebra

Credits: 4

Course Description

MATH-210, Linear Algebra, includes vector spaces, linear transformations, matrices and determinants, quadratic forms, Eigen values, and similarity. Applications to geometry, systems of linear equations, and function spaces (including Fourier analysis) are included. Students will be required to use a graphing calculator and significant mathematical software such as Mathematica, Maple, or MATLAB throughout the course. See Mathematics Department web site for details. Prerequisite: MATH-136 with a "C" grade or better. Five hours lecture each week. Four credits. Four billable hours. Offered Spring Term every odd year. GENERAL EDUCATION

Course Objectives and Grading Information

MAJOR COURSE OBJECTIVES:  Course Objectives: Upon successful completion of this course, the student will be able to: 

1. Solve systems of linear equations using Gaussian Elimination and matrices. (GE3, PG1, PG4)

2. Calculate vector sums, differences, scalar products, dot products, cross products and projections. (GE3, PG1, PG4) 

3. Calculate a matrix product, a matrix sum, a matrix inverse, etc. using the basic rules of matrix arithmetic.(GE3, PG1, PG4) 

4. Solve the matrix equation AX = B using the basic concepts of vectors and vector spaces. (GE3, PG1, PG4) 

5. Find bases and coordinate vectors in general vector spaces. (GE3, PG1, PG4) 

6. Use the concept of a linear transformation by applying it to geometry and developing matrix representations of linear transformations, and calculating associated eigenvalues and eigenvectors. (GE2, GE3, PG1, PG3, PG4) 

7. Calculate the determinant of a matrix and use it when solving a system of linear equations. (GE3, PG1, PG4) 

8. Calculate orthogonal and orthonormal bases in inner product spaces. (GE3, PG1, PG4) 

9. Set-up and solve application problems using technology, such as graphing calculators and mathematical software. (GE1, GE2, GE3, PG1, PG2, PG3, PG4)    

Learning Goals

The abbreviations in parentheses represent Learning Goals which have been identified for this course and program of study:

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