Covered Material and Homework (Tentative Schedule)

Syllabus :[PDF] (Note that office hours are changed into MW 2:30-4:00pm.)

HW 1, due on Thursday 9/29 :

Section 1.1: 1(d), 2(d),3(d),6,7.

Section 1.2: 1 (if false, find a couterexample or correct the statement), 3, 4(d,h),7,9,13,17,18.

Section 1.3: 1 (if false, find a couterexample or correct the statement), 2(a,e),8(a,c,f),9(only for W1 intersect W3),12,18,19,20,23.

HW 2, due on Thursday 10/6 :

Section 1.4: 1 (if false, find a couterexample or correct the statement),2(f),3(f),10,12,13.

Section 1.5: 1 (if false, find a couterexample or correct the statement),2(d,f,h),4,9,12,13(b),15.

Section 1.6: 2(d,e), 4, 7, 9, 19, Prove Theorem 1.9 by using the following fact: if no proper subset of S generates span(S), then S must be linearly independent (note that Theorem 1.7 is not allowed to use here).

HW 3 due on Thursday 10/13, at the beginning of Midterm I. You just need to turn in all problems of Section 1.6; for the rest (section 2.1) , add them in HW4. Midterm I will cover (only) 1.1-1.6.

Section 1.6: 12, 13, 15, 17, 20, 26, 30.

Section 2.1: 1 (if false, find a couterexample or correct the statement), 3, 4, 5, 7, 8, 9(a,e), 10, 11.

HW 4 due on Thursday 10/20. You also need to bring the Hw 3 part of Section 2.1.

Section 2.1: 14, 17, 19, 26(a,b), 35,

Section 2.2: 1 (if false, find a couterexample or correct the statement), 2(b,d,g), 4, 6, 7, 8, 13.

HW 5 due on Thursday 10/27.

Section 2.3: 1 (if false, find a couterexample or correct the statement), 2(b), 4(cd), 5, 6, 7, 11, 12, 14a, 15

Section 2.4: 1 (if false, find a couterexample or correct the statement), 2(b, d, e), 3, 4, 5, 8, 9, 10(a, b), 12, 16, 17, 20.

HW 6 due on Thursday 11/3.

Section 2.5: 1, 2(b,d), 3(d), 4, 6(a), 8, 10, 12, 13.

Section 4.4: 1, 2(c,d), 3(d,f), 4(d,e,g), 5, 6

HW 7 due on Thursday 11/17.

Section 5.1: 1 (if false, find a couterexample or correct the statement), 2(b,d), 3(b), 4(b,e,h), 5, 8(b), 14, 15, 19.

Section 5.2: 1 (if false, find a couterexample or correct the statement), 2(e), 3(a,c), 5, 7, 8, 11, 12, 13.