Vector spaces, linear transformations, canonical forms, inner product spaces, bilinear forms, applications.

Topics to be included are Gauss-Jordan reduction, linear independence, linear vector spaces, linear transformations, similarity of matrices, diagonalizable matrices, characteristic values and vectors, and symmetric matrices and quadratic forms.

Liberal Arts Credits

This course covers matrices, determinants, systems of linear equations, vector spaces, eigenvalues and eigenvectors, Boolean algebra, switching circuits, Boolean functions, minimal forms, Karnaugh maps.

Vector spaces, basis and dimension, matrices, linear trans-formations, determinants, solution of systems of linear equations, eigenvalues and eigenvectors.

3 hours lecture, 1 hour recitation; 3 credits Matrix algebra. Systems of linear equations. Determinants. Vector spaces. Linear independence. Linear transformations. Inner product spaces. (Not open to students who are enrolled in or have completed Mathematics 4101.) Students who have completed both Mathematics 1711 and Mathematics 2101 will receive only 3 credits for Mathematics 1711 and only 2 credits for Mathematics 2101. Prerequisite: Mathematics *1201

Vector spaces, basis and dimension, matrices, linear transformations, determinants, solution of systems of linear equations, eigenvalues, and eigenvectors.

Elective Credit Liberal Arts

An introduction to the computational and theoretical aspects of linear systems and linear transformations and to the writing of mathematical proofs. This is a core topic in mathematics, with applications in many fields. Topics include systems of linear equations, matrices, matrix, equations, determinants, vector spaces, linear transformations, linear independence, eigenvalues, and eigenvectors; with selected applications.

CBA Credit - Liberal Arts

Elective Credit

The student will study vector calculus matrix algebra, systems of homogeneous and non-homogeneous linear equations, concepts of vector space, subspace, basis and dimension of a vector space, linear transformation, and Eigenvalues and Eigenvectors for a linear transformation.

An introduction to the fundamentals of linear algebra. Topics studied include: systems of linear equations, matrices, determinants, vector spaces, basis and dimension, rank of a matrix, change of basis, linear transformations, eigenvalues and eigenvectors.

Study of vector spaces, matrix algebra transformation, and vector analysis.

This course is designed to introduce students to the theory and applications of algebraic structures by focusing on the solutions of systems of linear equations. The algebraic properties of these solutions will be analyzed and generalized in the theory of vector spaces. Matrices will be treated both as computational aids and as objects possessing algebraic stucture in their own right. Major applications will be developed, including project(s) on various topics using linear algebra techniques and computer software.

Systems of linear equations, matrices, determinants, eigenvectors and eigenvalues, vector spaces and linear transformations. PREREQ: MAT 176. With Departmental permission, MAT 176 may be taken as a COREQ.

The course is designed to introduce to students elements of finite dimensional vector spaces over real numbers; linear transformations and applications; system of matrices; independence of vectors, bases, dimension; dot product; projections; linear transformations, matrix representation; eigen values and eigen vectors, diagonalization.

An introductory course in Linear Algebra. Topics include vectors, vector spaces, systems of linear equations, linear transformations, properties of matrices, determinants, eigenvalues, and eigenvectors.

An introduction to linear algebra with emphasis on techniques and applications. Topics to be covered include solutions of systems of linear equations, vector spaces, bases and dimension, linear transformations, matrix algebra, determinants,eigenvalues, and inner products. Not open to students who are enrolled in or who have completed MATH 237. Students who fail or withdraw from this course multiple times may be prohibited from majoring in the sciences or mathematics; see the bulletin language for your major. Fall, Spring (MQR)Prereq.: One semester of calculus

Vector spaces; systems of linear equations; determinants; linear operations; matrices; eigenvalues and eigenvectors.

Elective Credit

Elective Credit

Systems of linear equations, matrices, determinants, Euclidean vector spaces and linear transformations, general vector spaces, basis and dimension, eigenvalues and eigenvectors. Applications to linear programming, least squares approximation, and Markov chains.