Math 20F: Linear Algebra,
Spring 04,
(Hans Lindblad)
Meetings
Texts
Exams
Review
Practice Exams
Syllabus
Schedule
Summary of lectures
Homeworks
Matlab
ANNOUNCEMENTS:
It is important that you have a look at the material
before it is covered in the lectures, see schedule
where you also find lecture notes.
Please ask questions in lectures,
sections and office hours.
If you don't quite understand something others may not
understand either.
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 if you have time.
Also please let us know if you have any
complaints and suggestions for improvements.
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:
Lay, Linear Algebra and Its Applications,
and
Bretscher, Linear Algebra with Applications
introduce
linear transformations and geometry early to explain
matrix multiplication, inversion and determinants.
Strang, Introduction to linear algebra
has many applications.
For further study, matrix theory and applications
Math 102, numerical methods 170A,
Fourier series
and eigenfunction expansions 110,
210B,
ordinary differential eqns
20D,
130A.
For matlab
Leon, AT LAST.
- 1st Midterm Test will be given on 4/26 during class time in HSS2250:
- 2nd Midterm Test will be given on 5/24 during class time in HSS2250:
- Final Examination will be given on 6/8, 3-6pm in HSS2250
Bring identification to exams.
No calculators, books or notes are allowed in exams.
No make-up exams.
The exams can have questions about anything covered in homeworks
due before the exams, lectures
or assigned reading. Further information about
the exams will be given
in lectures, reviews or on the web, but not on an individual basis.
Questions about the grading should be brought up directly with your TA.
- Review for 1st Midterm Test: Sunday 4/25, 5-6pm in HSS 2250
- Review for 2nd Midterm Test: Sunday 5/23, 5-6pm in HSS 2250
- Review for Final Test in class Friday 6/4
mid1s04,
mid1s03,
mid1w03a,
mid1w03b,
mid2s04,
mid2s03,
mid2w03a,
mid2w03b,
fins04,
finw03a,
finw03b,
finf02p,
mid1s03s,
mid1w03as,
mid1w03bs,
mid2s03s,
mid2w03as,
mid2w03bs,
finw03as.
It is important that you have a look at the material before it is covered
in the lectures.
If you click on the day you might find a summary of the lecture
without the important pictures though
Linear algebra is a collection of concepts and ideas related to solving
systems of linear equations:
Gaussian elimination, matrix algebra, determinants.
Linear subspaces and bases.
Eigenvalues and eigenvectors, quadratic forms, orthogonal matrices,
diagonalization of symmetric matrices.
Linear algebra has many applications to science and engineering;
to electrical networks, economical models, chemical reactions,
to signal processing
or to numerically solving differential equations.
You will find that it takes 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,
and matlab is helpful for this.
The computer labs will take place on Tuesdays (starting 4/6),
the same times as your discussion section,
in CLICS
PC Lab
Your TA will tell you when to hand in your matlab assignments.
See matlab problems
Solutions to homeworks will be available for download below after they are due.
All homeworks should be handed in in section
but we do not have resources to grade all problems.
We will grade 3-4 problems on most assignments
but some might be returned ungraded.
No late homeworks. The lowest homework score will be discarded.
(TBA=to be announced i.e. more to come, x*=problem x will not be graded)
HW #1 Due 4/1
1.1: 1ab, 2ab, 3ab, 6d, 9, 10,11,
1.2: 1, 3acd, 5de, 6a, 8, 10, 14
HW #2 Due 4/8
1.3: 1bef, 2ab, 4b, 10, 13, 15, 16, 17, 21,
1.4: 1, 2, 3, 7, 8, 9cdef, 14, 16, 17
HW #3 Due 4/15
2.1: 3adg, 4, 6, 11,
2.2: 1, 3cf, 5, 6, 7,
3.1: 4, 6, 10, 11, 16
HW #4 Due 4/22
3.2: 2, 3a, 4ad, 5c, 6a, 9bcd, 10, 11,
3.3: 1abc, 2, 3,
3.4: 1abc, 2, 3, 4, 5, 6
HW #5 Due 4/29
3.4: 7,8,9,10,
3.5: 1b, 2b, 3b, 5, 6
HW #6 Due 5/6
3.6: 1ab, 2a, 3, 5ef,
4.1: 1ae, 4, 5ac, 16,
4.2: 1ae, 2b, 4a, 5ac,
4.3: 1ae, 2, 3
HW #7 Due 5/13
5.1: 1ac, 3ac, 5, 7, 9, 12,
5.2: 1bc, 2, 6, 9,
5.3: 1, 2, 3a, 4a, 5, 6,
HW #8 Due 5/20
5.2: 3, 4,
5.3: 3b, 4b,
5.5: 1, 2, 3, 4, 7, 19, 20, 21,
5.6: 1, 2, 3, 5, 7, 8.
HW #9 Due 5/27
5.4: 3, 9,
5.5: 27, 28,
5.6: 4,
6.1: 1bcdgh, 10, 14, 19, 24,
6.2: 1ad, 2ac, 4,
HW #10 Due 6/3
6.3: 1adf, 2d, 3d, 7, 11, 23b, 24c, 25ac,
6.4: 5abde,
The grade will be based on a total score calculated from
10% textbook and 10% matlab homeworks, 20% each midterm and 40% final.
The grade distribution will follow a curve
with median grade approximately a B.
Usually about 25% of students get
As (i.e. A+, A or A-), 35% get Bs, and 30% get Cs.
The exact borders are adjusted depending on various factors
and typically vary up or down by 5%.
Typically it ends up that you need about
80% total score for A-,
65% for B- and 40% for C-, but it depends on how hard
or easy the exams were.