MATH221 - Vectors and Matrices

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Academic Year 2000/2001

Vectors and Matrices
MATH 221 FA

This is a course in the algebra of matrices and Euclidean spaces that emphasizes the concrete and geometric. Topics to be developed are solving systems of linear equations, matrix addition, scalar multiplication and multiplication, properties of invertible matrices, determinants, elements of the theory of abstract finite dimensional real vector spaces, dimension of vector spaces and the rank of a matrix. These ideas are used to develop basic ideas of Euclidean geometry and illustrate the behavio r of linear systems. We conclude with a discussion of eigenvalues and the diagonalization of matrices. For a more conceptual treatment of linear algebra, students should enroll in MATH223.

MAJOR READINGS

LINEAR ALGEBRA, by Fraleigh and Beauregard

EXAMINATIONS AND ASSIGNMENTS

Two midterm exams, homework assignments, final exam for most sections, various problem sets and occasional quizzes for some sections.

ADDITIONAL REQUIREMENTS and/or COMMENTS

MATH121, 122 is strongly recommended as background, but not required. Despite section enrollment limits, this course has unlimited total enrollment. Any students blocked out of all sections should seek advice from the department. The department reserves the right to assign students to sections in order to equalize section sizes.

Unless preregistered students attend the first class meeting or communicate directly with the instructor prior to the first class, they will be dropped from the class list. NOTE: Students must still submit a completed Drop/Add form to the Registrar's Office.

COURSE FORMAT: Lecture

REGISTRATION INFORMATION

Level: UGRD Credit: 1 Gen Ed Area Dept: NSM MATH Grading Mode: Graded

Prerequisites: NONE

SECTION 01

Instructor(s): Scowcroft,Philip H.

Times: .M.W.F. 10:00AM-10:50AM; Location: SCIE141

Reserved Seats: (Total Limit: 40)

SR. major: Jr. major:

SR. non-major: 3 Jr. non-major: 3 SO: 12 FR: 22

Special Attributes:

Curricular Renewal: Quantitative Reasoning

SECTION 02

Instructor(s): Coven,Ethan

Times: ..T.T.. 01:10PM-02:30PM; Location: SCIE137