Matematik och Datavetenskap,
Chalmers Tekniska Högskola och
Göteborgs Universitet

###
ALA-B, 2003, Individual folder

Home,
w 1,
w 2,
w 3,
w 4,
w 5,
w 6,
w 7.
Matlab:
analysis,
linear algebra.
Each student must keep an **individual folder** (pärm) containing
documentation of the obligatory work. The obligatory work will
be checked by your teachers every week. The folder need not be handed
in.

Each student
must also keep a copy of each obligatory program that we write.
These programs may be used in future courses.

See
Johan Hoffman's presentation manual.

The purpose of the folder is:

a) each student should write and keep certain matlab programs for future use;

b) each student should write down some mathematics every week
(writing down your work forces you to reflect about what you
have done and you will learn better);

c) some basic mathematical topics are emphasized.
These basic topics must be mastered by every student.
About half of the exam questions will therefore be taken directly from
the obligatory topics.

**
Week 1.
**
The fundamental theorem of calculus.

Write down the proof of The Fundamental
Theorem of Calculus and put it in your individual folder. Emphasize
the following steps:
1. construction of *U*_{n}.
2. proof that *U*_{n} is a Cauchy sequence.
3. proof that *u(x)* satisfies the differential
equation.
4. *u* is unique.

This proof is an important part of the
course and you must understand it well. Then the later parts of the
course will be much easier. Show this to one of your teachers during
week 2 or 3.

**
Week 2.
**
The integral. Show this to your studio
teacher before the end of week 2.

**
Week 3.
**
My ode solver 1.

**
Week 4.
**
92. Analytical computation of integrals
(postscript).

**
Week 5.
**
93. Analytical solution of differential
equations
(postscript).

**
Week 6.
**
94. Taylor's formula
(postscript).

**
Week 7.
**
None this week.

`/stig`

Last modified: Thu Dec 11 18:08:41 MET 2003