Math 313.00 Linear Algebra Morrow, Fall 2007
Meetings: TR3:
Instructor: Greg Morrow
Office: EN 271, (719) 262-3184, gmorrow@uccs.edu
Hours: TR:
Prerequisite: Calculus I (Math 135)
Text: Elementary Linear Algebra, 9th ed., by Howard Anton and Chris Rorres
(2005), John Wiley & Sons:
Supplemental Instructor: Jennifer Holmes, MW
Description: Linear algebra is a fundamental tool for solving applied mathematics problems involving several variables. There are both computational and conceptual sides to this subject. At first the (hand-)computational side will be stressed to lay a groundwork for the concepts. Later more emphasis will be placed on the conceptual sequence of operations. The MatLab computer algebra software will be introduced in the later chapters to illustrate the impact and range of computational linear algebra.
Please see the following instructions file to access MatLab from the RATS (remote access terminal server) using only your UFP account: http://it.eas.uccs.edu/help_sheets/RATS.pdf
On the conceptual side we will see many theorems. The theory can provide a general perspective, likened to the view from a mountaintop over a valley of applications. Some problems involving the words show or prove will be assigned in the homework and may occasionally be found on tests. The course covers chapters 1, 2, 4, 5, 6, 7, and topics from chapter 9 and one Application section of the text.
Homework and Tests: Homework will be assigned and collected weekly. There will be two mid-semester tests, as well as a final exam. The final exam will test primarily the material covered after the second midterm exam. Graphing calculators will not be allowed on tests; a basic scientific calculator will be allowed. Homework will count 20% of the course grade, each mid-semester test will count 25%, and the final exam will count 30%. There will be no make-up for late homework; one homework assignment may be dropped. Arrangements for make-up exams must be made in advance except in extraordinary circumstances. Also the student is responsible in the event a make-up exam is approved to make an appointment to take the exam with the testing center 262-3265.
Final
exam: Thursday, December 13, 1:40 pm 4:20 pm.
Grading. 90 => grade of A, 80 => B or better, 70 => C or better. Half grades (e.g. B+) are possible.
There are 190 points possible in homework. The homework grade will be based on 170 points. The extra credit homework (see below) will count 30 points and will simply be added on to the homework total. Thus a maximum homework grade would be (190+30)/170=129%.
Math 313.002 Linear Algebra Morrow, Fall 2007
Syllabus (revised Nov. 1, 2007)
Week coverage DUE DATES and Tests
8/21..8/23 1 .1,1.2,1.3,1.4
8/28..8/30 1.5,1.6,1.7,2.1 HW I, Aug. 30
R, 9/6 2.2,2.3 HW II, Sept. 11 (NOTE CHANGE)
9/11..9/13 2.4, 4.1, 4.2 HW III, Sept. 13
9/18..9/20 4.3, 4.4, 5.1 HW IV, Sept. 20
9/25..9/27 5.2 Test 1, Sept. 27 REVIEW TEST 1
Test 1 Covers Chaps. 1, 2 and 4.1-4.2
(through HW IV)
10/2..10/4 5.3, 5.4 HW V, Oct. 4
10/9..10/11 5.5, 5.6 HW VI, Oct. 11
10/16..10/18 6.1 HW VII, Oct. 18
10/23..10/25 6.2 HW VIII, Oct. 25
10/30..11/1 6.3 HW IX, Nov. 1
11/6..11/8 Test 2, Nov. 8 Rvw Test 2
Test 2 Covers Chapters 4.3, 5.1-5.6, 6.1-6.2
Gram Schmidt and orthogonal projection
11/13..11/15 6.4, 6.5 HW X, Nov. 15
T, 11/20 7.1
11/27..11/29 7.2-7.3 HW XI, Nov. 27
12/4..12/6 11.14, review HW XII, Dec. 4
Sample Solution Review for Final
The final exam Part I is required; it will cover Chapters 6.3-6.6 and 7.1-7.3 of the text. There will be an optional part II to the final exam that will be comprehensive of the whole course (through Section 7.3). If the score on the optional part is better than the score on either of midterms 1 or 2 then it will replace the lowest such midterm. The optional part II can NOT count in place of the required part I of the final exam. Both parts will be administered during the150 minute final exam period. The required part of the exam is estimated to take 75 minutes but all 150 minutes may be used.
R, 12/13 Final Exam, 1:40-4:20
Homework
HW I.
1.1:3, 6, 7 (coefficients a,b,c are the unknowns) ; 1.2: 4, 5c, 6d, 8a, 10a, 17, 25;
1.3:5i,j,k, 8, 11, 15a;1.4: 7, 9, 11, 22 (do for n=2 and n=3).
HW II. Due Sept. 11
1.5 1, 3, 7d,e, 10, 13, 16 (extra credit); 1.6: 2, 11, 17, 21; 1.7: 2, 9, 10, 11, 14a, 18; 2.1:4, 5, 9, 16, 22.
HW III. Due Sept. 13
2.2:3, 5, 11, 12, 13, 2.3:2, 4, 5, 10, 16; 2.4:1, 10, 13a, 14, 17.
HW IV.
4.1:2, 3, 6, 8, 10, 11d, 15, 18a, 20, 4.2:1, 3, 4, 9, 12a,b, 16, 27 (extra credit).
HW V.
4.3:2, 4, 5a,d, 9, 14, 17a; 4.4: 2, 12, 14(a,b) (extra credit); 5.1: 2, 3, 7, 11, 18 (extra credit).
HW VI.
5.2:1, 2, 4, 9a, 11b, 14a-c, 15; 5.3: 2, 4a,d, 5a, 7, 8, 14.
HW VII.
5.4:1a-c, 2, 3c, 7b, 9b, 13, 17b, 22; 5.5:2b,d, 3a, 6c, 8c, 9c, 10c, 12a.
HW VIII.
5.6:2c, 4, 5, 7, 9, 14; NOTE CHANGE
HW IX.
6.1:2, 4a, 6, 10, 11, 17. 6.2:5a,d,e, 13a, 16, 18a,b, 20; (numbering corrected--added 2 to previous assigned problem numbers)
HW X. DUE Nov. 15
6.3:5, 7, 8, 9c, 10a, 11b, 17a, 20. 6.4:1a, 2b, 3a, 10, 13a; (correction: 6.4 # 10 and #13a and NOT #9 and #11a)
HW XI. DUE Nov. 27
6.5: 2a, 5a, 6; 6.6: 8 ; 7.1:1b, 2b, 3b, 6a, 9a, 12, 13.
HW XII.
7.2:4, 5, 10, 13, 19; 7.3:1d,f, 4, 5, 12;
Random
Iteration Algoritm: the Sierpinski Triangle
Extra Credit:
11.14: 2 (Construct an image of the Fractal of Figure Ex-2 using MatLab), 4, 7,
T1 (Construct an image of the Menger Sponge with MatLab).