MATH 4330/5330 Linear Algebra

Term: 2020 Fall

Course: MATH - 4330/5330 (3 credits)

Time: 9:35am -- 10:55pm TR

Classroom:

Office: Lucas 200F

Virtual Office Hours: MTWF 11am--12noon

or by y appointment

Instructor: Jose M. Vega-Guzman

email: jvegaguzman@lamar.edu

Syllabus: Available in Blackboard

-------------------------------Announcements ------------------------------------------------

==> WELCOME

This page is under construction!

==> Main Course Textbooks

Chapters: 1,2,4,8 from Cooperstein;

Chapters 4,6 and 7 from G. Shilov;

other resources may be used to complement the course material.

==> Additional Resources:

Secondary Textbooks:

Additional References:

Other Resources:

-------------------------------Tentative Schedule (may change) ------------------------------------------------

    • Be aware the above distribution may change during the course of the term.

-------------------------------Suggested Exercises ------------------------------------------------

From Block-1

Cooperstein: page-6: 1,2,3,4,5,6,7,8

Cooperstein: page-10: 1,2,3,4,5,6,7,8,9,10,11,12

Cooperstein: page-13: 1,2,3,4,5,6,7,8,9,10,11

Cooperstein: page-23: 1,2,3,4,5,6,7,8,9,10,11,12,13,14

Cooperstein: page-30: 1,2,3,4,5,6,7,8,9,10,11,12,13

From Block-2

Cooperstein: page-36: 1a,1b,2,3,6,7,8,9a,9b,9c,10a,10b,13

Cooperstein: page-45: 1,2,3,4,5,6

Cooperstein: page-54: 1,2,3,4,5,8,9,10,11,12,13

Cooperstein: page-61: 1,2,3,4,5,6,8,9,10,11,13,22

Cooperstein: page-67: 1,2,3,4,5,6,8

Cooperstein: page-73: 1,2,3,4,5,6,8,10

Cooperstein: page-80: 1,2,3,4,5,6

Cooperstein: page-85: 1,2,3,4,5,6,9,10,11

Cooperstein: page-112: 1,2,3,4,5,6,8,11,13,18,20

Cooperstein: page-117: 1,2,3,4,6,9

Cooperstein: page-128: 1,2,3,7,8

Cooperstein: page-144: 1,2,3,4,5,8,12

From Block-3 (ongoing)

Cooperstein: page-281: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

Cooperstein: page-291: 1,2,3,4,5,6,7,8,9,10,11

Cooperstein: page-305: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

Cooperstein: page-314: 1,2,3,4,5,6,7,8

Cooperstein: page-320: 1,2,3,4,5,6,7,8,9

-------------------------------Exams and Quizzes ------------------------------------------------

Exam-1: September-29: Material covered during weeks 1,3,4,5 and 6.

Exam-2: November-8: Material covered during Weeks 7,8,9 and 10 (Chapter-8)

Quiz-1: September-1: includes the material discussed during week-1 (deadline: Sept-4)

Quiz-2: September-10: includes the material discussed during week-3 (deadline: Sept-10)

Quiz-3: September-15: includes the material discussed during the week-4 (deadline: Sept-15)

Quiz-4: September-24: includes the material discussed during the week-5 (deadline: Sept-25)

====================> Exam-1 <=======================

Quiz-5: October-9: includes the material discussed on Canonical Forms 4.6 and 4.7

Quiz-6: October-16: includes the material of 8.1 (Basic Properties of Bilinear Maps)

Quiz-7: October-23: includes the material of 8.2 (Symplectic Spaces)

Quiz-8: October-30: includes the material of 8.3 (Quadratic Forms and Orthogonal Space)

====================> Exam-2 <=======================

Refer to Blackboard for specifics on Final Project.

More related information will be provided during the semester.