Math 20D. Differential Equations - 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 the lectures since it will help you to follow the lectures,
Why? 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.
It can be helpful with a different perspective.
Stewart contain an easy introduction to differential eqns.
Some books are on reserve in the library and if you click on the
links you find helpful resources,
IDEA.
There are many similar books, e.g.
Nagle, Saff, Snider, Fundamentals of diff. eqns
,
Edwards, Penny Diff eqns, computing and modelling
Some new books start with qualitative study of systems of diff.
eqns and linear systems:
Conrad, Diff. eqns a systems approach,
and
Blanchard, Devaney, Hall, Diff. eqns
For matlab
Polkin, Arnold, Ordinary diff. eqns using matlab,.
For further study, of ordinary diff. eqns Math
130A,
130B,
of partial diff. eqns and Fourier series 110,
132A
- 1st Midterm Test will be given on 4/19 during class time.
It covers ch. 11 in Stewart.
- 2nd Midterm Test will be given on 5/17 during class time.
It covers ch 1-3 in Boyce-DiPrima.
- Final Examination will be given on 6/7, 3-6pm.
It covers ch. 1-3, 6-7 in Boyce-DiPrima.
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.
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.
This page of formulas
will be printed on the 1st midterm,
this page
on the 2nd and this page
on the final.
- Review for 1st Midterm Test: Sunday 4/18, 5-6pm in HSS 2250
- Review for 2nd Midterm Test: Sunday 5/16, 5-6pm in HSS 2250
- Review for Final Test: In class Friday 6/4.
mid1s04,
mid1w00a,
mid1f99,
mid2s04,
mid2w00a,
mid2f99,
fins04,
finw00a,
finf99,
mid1w00as,
mid1f99s,
mid2w00as,
mid2f99s,
finw00as,
finf99s.
No more solutions or exams will be posted.
Why?
You can ask about solutions to problems in reviews.
It is important that you have a look at the material before it is covered
in the lectures. Why?
If you click on the day you might find a summary of the lecture
without the important pictures though.
The first part is about sequences and series,
in particular Taylor series, used to approximate
functions.
The main part is about differential equations,
that describe many phenomena in science and engineering.
We study the first part in less depth.
Propsed update of the syllabus using Conrad.
The computer labs will take place on Thursdays (starting first week),
same time as your discussion section,
in CLICS PC lab
Your TA will tell you when to hand in your assignments,
see matlab problems
Homeworks due in box on 6th floor of AP&M by 8pm. No late homeworks.
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?
HW #1 Due 4/6
11.1: 16, 20, 40,
11.2: 3, 7, 27,
11.3: 2, 17, 20,
11.4: 10, 20, 35,
11.5: 10, 16, 24,
11.6: 5, 9, 11
HW #2 Due 4/13
11.8: 10, 16, 19, 29, 38,
11.9: 1, 2, 6, 14, 27, 32,
11.10: 11, 17, 33, 38, 48, 61,
11.12: 13, 25, 27.
HW #3 Due 4/20
1.1: 1, 2, 11, 13,
1.2: 1a, 2a,
2.1: 1, 2, 7, 10, 13, 14,
2.2: 1, 2, 9, 10.
HW #4 Due 4/27
2.3: 1, 7, 15, 19, 23*,
2.4: 1, 15,
2.5: 1, 10, 14, 15, 22,
2.7: 2,
2.8: 3.
HW #5 Due 5/4
3.1: 1, 9,
3.2: 23, 24,
3.4: 1, 7, 17, 18, 29, 30, 31,
3.5: 1, 11, 21*, 22*.
HW #6 Due 5/11
3.6: 1, 2, 6, 14, 32, 34,
3.7: 1, 5, 12, 23,
3.8: 1, 6, 8, 13,
3.9: 1, 6, 8*,
5.2: 1, 5.
HW #7 Due 5/20
6.1: 6, 13, 15,
6.2: 1, 2, 5, 6, 11, 21, 22.
HW #8 Due 5/25
7.1: 2, 7a,
7.2: 10, 22,
7.3: 14*, 15, 16, 17,
7.4: 1*, 4*,
7.5: 1, 2, 7.
HW #9 Due 6/1
You do not need to do the graphing in the problems below.
7.6: 1, 2, 9, 28,
7.7: 3, 6, 11, 12, 16.
7.8: 1, 2, 7, 8, 15, 16, 19.
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.