This is an Honors level introductory linear algebra course. The course will cover abstract vector spaces over arbitrary fields and linear transformations between them. In addition to standard discussion of characteristic polynomials, eigenvalues and eigenvectors, orthogonality, and inner product spaces, the course would also discuss some applications of linear algebra to problems from the other sciences and engineering, and include a discussion of the importance of numerical solutions of large systems of equations. (Gen. Ed. R2)

Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent of instructor.

Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent of instructor.

Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent of instructor.

Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent of instructor.

Basic concepts of linear algebra. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and eigenvalues. Prerequisite or corequisite: MATH 132, or 136, or consent of instructor.

Techniques of calculus in two and three dimensions. Vectors, partial derivatives, multiple integrals, line integrals, and a complete coverage of Vector Analysis, including the theorems of Green, Stokes, and Gauss. There will be some emphasis on the underlying theory, numerous applications will be included, and some attention will be paid to history. Active student participation will be encouraged. A 50-minute discussion meeting will be included in this course.

Techniques of calculus in two and three dimensions. Vectors, partial derivatives, multiple integrals, line integrals, and a complete coverage of Vector Analysis, including the theorems of Green, Stokes, and Gauss. There will be some emphasis on the underlying theory, numerous applications will be included, and some attention will be paid to history. Active student participation will be encouraged. A 50-minute discussion meeting will be included in this course.

Techniques of calculus in two and three dimensions. Vectors, partial derivatives, multiple integrals, line integrals, and a complete coverage of Vector Analysis, including the theorems of Green, Stokes, and Gauss. There will be some emphasis on the underlying theory, numerous applications will be included, and some attention will be paid to history. Active student participation will be encouraged. A 50-minute discussion meeting will be included in this course.

Techniques of calculus in two and three dimensions, including vectors, partial derivatives, multiple integrals, line integrals, surface integrals and Green's, Stokes's, and the Divergence Theorem. Honors section available. (Gen. Ed. R2)