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:
Linear Algebra and its Applications, 2ed, by Peter D. Lax
Linear Algebra and Geometry, by A. Kostrikin & Y. Manin
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.