Math 20F  Schedule.

Note: Review vectors, dot products, lines, and planes from your calculus course as soon as possible.

Approximate Lecture Schedule (Leon text)
It is IMPORTANT to read the material BEFORE the lecture.

 Week ending on Monday Wednesday Friday 1 Jan 9 1.1 1.2 1.3 2 Jan 16 1.3, 1.4 1.4 2.1 3 Jan 23 Holiday 2.1 + 2.2 2.2 4 Jan 30 2.2 3.1 Exam 1  (1.1-2.2) 5 Feb 6 3.2 3.3 3.4 6 Feb 13 3.4 + 3.5 3.5 3.6 7 Feb 20 Holiday 4.1 4.2-4.3 8 Feb 27 5.1 5.2 Exam 2   (3.1 -4.3) 9 March 5 5.3 5.4+5.5 5.6 10 March 12 6.1 + 6.2 6.3 6.4

FINAL EXAM: Monday, March 15, 8:00-11:00am; CENTR 115.

Note: There are complementary notes on determinants written by Professor Ed Bender. These are recommended since the book by Leon does not contain a proof of a central Theorem, namely Theorem 2.1.1. Prof. Bender's notes

Math 20F  Homework Assignments.

• Although you are required to turn in only the HW problems listed below, you are strongly advised to attempt solving as many problems from each section as possible.
• Please hand in MATLAB and textbook homeworks separately at the beginning of your Lab section on Thursdays.

HW 1, due on Thurs., Jan 15

1.1: 6(d), 9, 10, 11
1.2: 1, 3(a,c,d), 8, 10
1.3: 1(f,g,h), 2(decide if possible, do not multiply), 4, 10, 15, 16, 20
MATLAB 1

HW 2, due on Thurs., Jan 22
1.4: 1, 2, 3, 7(a,b,c), 12(give reason for answer), 18
1.5: 5(b), 7, 14
MATLAB 2

HW 3, due on Thurs.
, Jan 29
2.1: 1, 6, 11
2.2: 1, 6, 7

HW 4, due on Thurs., Feb 5

3.1: 3, 10, 11 (In #3, a,b,c,d are real numbers.)
MATLAB 3

HW 5, due on Thurs., Feb 12

3.2: 1, 3, 4(a,d), 5, 6(a,c,e), 9(a,d), 10(a,d), 11, 14(a,b), 17, 18, 19
Also, justify your "No" answers to 1, 3, 5, 6 by explaining why the definition of a subspace is not satisfied.
3.3: 2, 5 (Note: (b) means just delete x_k, don't also add x_{k+1}.), 7, 11, 14, 16, 17
3.4: 2, 4, 5, 9, 13, 14
MATLAB 4

HW 6, due on Thurs., Feb 19
- For solutions, click on SOLUTIONS.
3.5: 1(a,b), 2(a,b), 3(a,b) also do [v1,v2] to [e1,e2], 5, 10
3.6: 1(b) Choose your basis to be a subset of the rows or columns of the matrix.,
4(c,d,f), 6, 8--but change given numbers to dim N(A)=3 and rank B=3,
12, 14

HW 7, due on Thurs., Feb 26

4.1: 1(a,c,d), 2, 5 also determine a basis for the kernel and a basis for the range*, 12
*The basis for the trivial space {0} of dimension 0 is the empty set.
4.2: 2, 4, 6, 13, 17
4.3: 1(a,e), 4, 8(a,b), 13
MATLAB 5

HW 8, due on Thurs., March 4

5.1: 1(b,c), 3(a), 4, 13, 16(a)
5.2: 2, 8, 13(a), 14(a)
MATLAB 6

HW 9, due on Thurs., March 11

5.3: 1(a,c)
5.4: 2(c,d), 5, 17
5.5: 1, 2, 5
5.6: 1(a), 2(a), 4, 8, 11
MATLAB 7

HW 10 - will not be collected.

6.1: 1(a,d,g,h), 2, 3, 9, 15
6.2: 1(a,d), 5(a)
6.3: 1(a,d), 2(a,d), 3(a,d), 6, 27
6.4: 1(b), 2
MATLAB 8