Math 20F. Linear Algebra

Math 20F. Linear Algebra - Spring 06 - Hans Lindblad

ANNOUNCEMENTS: Final:Median 53,Max 80.Midterm 2:Median 59,Max 100. Midterm 1:Median 61,Max 80

Meetings Text Exams Review Practice Exams Syllabus Schedule Summary of lectures Homeworks Matlab

Description

Linear algebra is a collection of concepts and methods related to solving systems of linear equations: Gaussian elimination, matrix algebra, determinants. Linear subspaces, bases. Eigenvalues, eigenvectors, least-square, orthogonalty, diagonalization. Linear algebra has many applications to science/engineering; to electrical networks, economical models, chemical reactions, signal processing, statistics or numerical solution of differential equations.

Meetings

Lecture: MWF 10.00-10.50 in York 2622. Lecture schedule and notes are available below.
Computer Labs: Tuesday Matlab in AP&M or CLICS same time as your section.
Section: Thursdays. Hand in your homework in your section, solutions will be available below.
Office Hours: Professor: Hans Lindblad: W 11-11.50 in AP&M 7220 lindblad@math.ucsd.edu
TA: William Alto W 1-3 in AP&M B301 walto@math.ucsd.edu
TA: Ananda Leininger W 12-2 in AP&M B301 aleining@math.ucsd.edu
TA: Cayley Pendergrass M 1-3 in AP&M 5301 cpenderg@math.ucsd.edu
More help: Tutoring Lab, OASIS, Private Tutoring

It is important that you have a look at the material before the lectures since it will help you to follow the lectures, see the schedule where you also find lecture notes. Please ask questions in lectures, since if you don't quite understand something others may not understand either, and the explanations will help everyone understand better and keep the lectures at a pace you can follow. The best way to learn math is by doing examples so try to do all the homework problems and more similar problems. Let us know if you have any complaints and suggestions for improvements.

Texts

Lay, Linear Algebra and Its Applications,

It can be helpful with a different perspective: Some books are on reserve in the library and if you click on the links you will find helpful resources: see e.g. Strangs page at MIT and my old syllabus/notes. Another book I like is Bretscher, Linear Algebra with Applications. For further study, Math 102. Applied Linear Algebra.

Exams

1st Midterm on 5/1 during class in Center 216(A01-3), York 2622(A04-6). Covering Ch 1,2 4-4.3
2nd Midterm on 5/31 during class in Center 216(A01-3), York 2622(A04-6). Covering Ch 3,4, 5.
Final on 6/13, 8-11am in Center 216(A01-3), York 2622(A04-6). Covering everything.

Bring identification to exams. No calculators, books or notes are allowed in exams. No make-up exams. The exams cover material in homeworks due before the exams, and corresponding lectures and reading, see review and practice exams. Questions about grading should be brought up with your TA. Solutions to midterms will be given in sections.

Review - going over questions from the practice exams.

Review for 1st Midterm Test: Sunday 4/30, 6-7pm in York 2622.
Review for 2nd Midterm Test: Tuesday 5/30, 4-5pm in Center 119.
Review for Final Test Friday 6/9, in class, and Sunday 6/11, 4-5pm in York 2622.

Practice Exams and Solutions to some of the exams.

mid1ps06, mid1w06, mid1f05, mid1w05, mid2ps06, mid2w06, mid2f05, mid2w05, finw06, finf05, fins05, fins04, finw03, mid1ps06s, mid1w06s, mid1f05s, mid1w05fs, mid2w06s, mid2f05s, mid2w05s, finw06s, finf05s, finw03s

Schedule and summary of lectures (tentative)

It is important that you have a look at the material before it is covered in the lectures. Why? If you click on a day you find a summary of the lecture without the important pictures. It will take you time to get used to the abstract concepts and to even understand what is being asked. To understand the methods and concepts you must solve problems.

wk	date	Monday	Wednesday	Friday
1	4/3	1.1	1.2	1.3
2	4/10	1.4	1.5,1.7	1.8,1.9
3	4/17	2.1	2.2(2.3)	4.1
4	4/24	4.2	4.3	4.5,4.6
5	5/1	Exam	4.4	4.7,5.4
6	5/8	3.1-3.2	3.2-3.3	5.1-5.6
7	5/15	5.1-5.2	5.3	5.4-5.6
8	5/22	6.1-6.2	6.2-6.3	6.3-6.4
9	5/29	Holiday	Exam	6.5-6.6
10	6/5	(6.7-6.8)	7.1	Review

Textbook Homework Assignments (tentative)

All homeworks should be handed in, but we only have resources to grade 3-4 problems per set and some sets might be returned ungraded. The lowest homework score will be discarded. Solutions to homeworks will be available for download below after they are due. Attempt to solve all problems yourself to learn it. Why?

wk	sectiondate	Homework Due 8pm in box 6th floor APM. No Late homeworks .	Solutions
1	4/6	1.1:1,4,6,10,13,15,25,30, 1.1:1,4,6,10,13,15,25,30, 1.2:1,3,12,13,16,20,23,24,29,30,31
2	4/13	1.4:1,4,7,13,19,21,24, 1.5:1,4,5,11,14,21,23,29,30,31,32 1.7:1,4,5,11,14,21,23,30,
3	4/20	1.8:1,3,7,8,9,11,15,19,22a-d,33, 1.9:1,3,6,19,22 2.1:1,5,8,10,12,17,20,21,22, 2.2:1,5,9,10,21,22,23,24,30,32,
4	4/27	2.3:2,5,11,12, 4.1:1,4,11,13,15,17,21,24,25,26,27,28,29, 4.2:1,5,9,11,15,19,23,25,29, 4.3:1,5,7,9,13,15,19,22,
5	5/4	4.5:3,7,9,11,15,20,21,23 4.6:3,5,7,8,18,19,20,21,22,23,24,25, Go over midterm 1
6	5/11	4.4:3,7,9,11,15,20,21,22,27, 4.7:1,5,7,11,12, 3.1:4,9,17,19,21,23, 3.2:1,2,3,4,9,18,21,25,27,29, 3.3:19,23,
7	5/18	5.1:1,5,9,16,17,21,22abde,27,29,30, 5.2:5,9,18,21,22, 5.3:1,6,9,14,15,23,24,25,26,29,30
8	5/25	5.4:12,16, 5.5:6,10,16 5.6:1,3,9 6.1:1,2,3,4,5,6,7,8,10,13,17,18,26,27,28,29, 6.2:3,5,9,11,19,20,23,25,27,28,
9	6/1	6.3:1,3,9,11,15,17,21, 6.4:3,7,11,13,15,17, Go over midterm 2.
10	6/8	6.5:3,5,7,9,13,15,17, 6.6:1,2, (6.7):11,25, (6.8):6,8, 7.1:4,5,11,12,14,20,23,25,29,30,

Matlab Computer Assignments: http://www.math.ucsd.edu/~math20f/

Grades

The grade is based on a total score calculated from 10% homeworks 20% each midterm and 50% final. The grade distribution follows a curve with median grade a low B and median plus standard deviation an A-. About 25% get As (i.e. A+, A or A-), 35% get Bs, and 30% get Cs. The exact percentages are adjusted depending on various factors. Typically it ends up that you need about 80% total score for A-, 65% for B- and 40% for C-, depending on the exams.