Math 416 (Sections B3H+B4H): Abstract Linear Algebra

Fall 2008

Instructor: Florin Boca

Office: 359 Altgeld Hall

Phone: 244-9928

E-mail: fboca at math dot uiuc dot edu

Web page:  https://faculty.math.illinois.edu/~fboca/welcome.html

Textbook: S. Friedberg, A. Insel,and L. Spence, Linear Algebra, 4th edition, Prentice-Hall, 2003.

Prerequisites:  MATH 241 or consent of instructor, MATH 347 is recommended. You may contact the instructor for any queries or concerns. Departmental Approval Required.

Topics:  Rigorous proof-oriented course in linear algebra. Topics will include determinants, vector spaces over fields, linear transformations, inner product spaces, eigenvectors and eigenvalues, Hermitian matrices, Jordan Normal Form.

Lectures: MWF 9:00-9:50, 341 Altgeld Hall

Office hours:  Tuesday: 5:15-6:15 pm, Thursday: 5-6 pm, or by appointment.

Grading policy: Comprehensive final exam: 35%; Best two midterm scores (out of three tests): 40%; Homework and quizzes: 25%.

There will be 14 HW assignments. Assignments # 1,3,5,...,13 will be collected and (randomly) selected problems will be graded. Assignments # 2,4,...,14 will not be collected. Instead, a 15 minute quiz with two problems from that assignment will be given.

Only the best 10 (out of 14) scores will count towards the final score in the class. As a result HW extensions or make-up quizzes are not allowed.

Homework assignments:

HW # 1 (due Friday Sep 5): Sec.1.1: 3; Sec.1.2: 1,5,16,20; Sec.1.3:: 1,9,19,25,31.

HW # 2 (quiz on Wednesday Sep 10): Sec.1.3: 20,27,20; Sec.1.4: 1,2(c,d,e,f),3(a,b,c),12,14; Sec.1.5: 1,2(b,c,f).

HW # 3 (due Wednesday Sep 17): Sec.1.6: 1,2(d,e),3(b,c),7,12,13,29,31; Sec.1.7:: 1,3.

HW # 4 (quiz on Friday Sep 26): Sec.2.1:: 1,5; Sec.2.2: 1,4; Sec.2.3: 2,3,12,13,16,17.

HW # 5 (due Friday Oct 3): Sec.2.4: 1,2,4,7; Sec.2.5: 1,3,6,9; Sec.2.6: 3,5.

HW # 6 (quiz on Friday Oct 10): Sec.3.1: 1,2,3,12; Sec.3.2: 1,2,7,14,21,11.

HW # 7 (due Friday Oct 17): Sec.3.2: 5,18,19; Sec.3.3: 1,4,7; Sec.3.4: 2(b,d,i),4,8,12.

HW # 8 (quiz on Wednesday Oct 22): Sec.4.2: 1,4,12,20; Sec.4.3: 4,6,10,11,12,13.

HW # 9 (due Friday Oct 31): Sec.4.4: 4(b,e,g),6; Sec.4.5: 1,15; Sec.5.1: 1,3,4(a,e,g,h),9,20,21.

HW # 10 (quiz on Monday Nov 10): Sec.5.2: 1,2(a,b,e,g),3(a,c,f),4,7,19; Sec.5.4: 1,2(a,b,d),17,18.

HW # 11 (due Friday Nov 14): Sec.5.4: 27,37,41,42; Sec.6.1: 20,23,24; Sec.6.2: 1,2(a,c,d,g),16.

HW # 12 (quiz on Wednesday Nov 19): Sec.6.1: 1,27; Sec.6.2: 14,15,18,22; Sec.6.3: 10,21; Sec.6.4: 2,6,7.

HW # 13 (due Wednesday Dec 3): Sec.6.4: 14,15,17,20; Sec.6.5: 2(b,d,e),5,8; Sec.6.6: 7,8; Sec.7.1: 7.

HW # 14 (quiz on Wednesday Dec 10): Sec.6.4: 10,19,22; Sec.6.5: 14,21; Sec.7.1: 2,3; Sec.7.2: 3,4; Sec.7.3: 2.

Midterm exams: Midterm 1: Wed Oct 1, 8:50-9:50 am; Midterm 2: Mon Nov 3, 8:50-9:50 am; Midterm 3: Wed Dec 3, 8:50-9:50 am.

Final exam: 1:30-4:30 pm, Mon Dec 15 , 341 Altgeld Hall.