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NA Group@KIT | |
Summer Semester 2009
- Instructor:
Joerg-M. Sautter
- Target Audience: Automotive Engineering students (2. semester)
- Volume: 14 x 2h
- Time and Location:
- Target Audience: Automotive Engineering students (2. semester)
- Friday from 13:30 to 17:30 in room S07.110.
- Course Goals:
- This course extends the concepts and techniques from the lectures Mathematics I & II.
After an introduction to mathematical software, we will first solve standard
math problems an a computer. We will then learn new mathematical concepts and methods
in order to solve real life problems on a computer.
This class will form the basis of your set of everyday working skills required for
Engineering or Mathematics in industry.
- Topics:
- linear algebra, mechanical systems, applications in CAD,
approximation of data points and functions, interpolation, ordinary
differential equations, simulation of a vehicle's suspension system
- Exam:
- There will be a 30-minute midterm exam and a 60-minute final exam.
The overall results can be found here.
- Homework:
- To do well in this course come to the lectures and do (and understand)
the homework. Selected homework problems will be graded. Late homework
will not be accepted or graded.
Students are encouraged to work in groups, however, all work turned in must be your own.
- Textbooks:
- No textbook is required for this course since all relevant materials will be provided.
Nevertheless, the following classic books might be useful:
- G.B. Thomas, R.L. Finney: Calculus and Analytic Geometry, Addison Wesley, 1995
- J. Farlow, J. Hall, B. West: Differential Equations & Linear Algebra, Prentice Hall, 2007
- Gilbert Strang: Linear Algebra and its Applications, Cengage Learning Services, 2004
- Hohloch, Kümmerer: Brücken zur Mathematik - Band 2 - Lineare Algebra, Cornelsen, 1993
- Hohloch, Kümmerer: Brücken zur Mathematik - Band 3- Vektorrechnung, Cornelsen, 1993
- Glatz, Grieb, Hohloch, Kümmerer: Brücken zur Mathematik - Band 4 - Differential und Integralrechnung 1, Cornelsen, 1994
- Glatz, Grieb, Hohloch, Kümmerer: Brücken zur Mathematik - Band 5 - Differential und Integralrechnung 2, Cornelsen, 1993
- Glatz, Grieb, Hohloch, Kümmerer: Brücken zur Mathematik - Band 6 - Komplexe Arithmetik und Gewöhnliche Differentialgleichungen, Cornelsen, 1994
- Software:
- We will use the programming language
Matlab
for numerical computations and simulations in this course.
If you have a notebook, please feel free to bring it to the lecture since
computers are limited. Please make sure that you have Matlab installed on your
notebook prior to the first lecture. You can obtain Matlab for free
here.
- Course Materials:
- Course introduction
- Matlab Tutorial by Jürgen Koch
- A collection of some Matlab commands
- democomplex.p
- arrow.m
- zpolar.p
- wirespring.p
- simrobot.mpg (3.5 MB)
- simschwinger.mpg (8.7 MB)
- Introduction to eigenvalues and their applications
- Tacoma Narrows Bridge Disaster (34 MB mpg)
- Topics:
- Mar-27-2009
- mIntro01 - Matlab as a calculator
- mIntro02 - Defining vectors and matrices
- mIntro03 - Indexing
- mIntro04 - Operations with vectors and matrices
- mIntro05 - Elementwise operations with vectors and matrices
- mIntro06 - Plotting functions
- mIntro07 - Plotting two-dimensional objects
- mIntro08 - Translation and rotation of objects
- mIntro09 - Loops
- mIntro10 - Conditional control
- mIntro11 - Functions
- Apr-17-2009
- mIntro12 - Regular linear systems
- Interpolation (see lecture notes on exercise sheet 2)
- Apr-24-2009
- Midterm Exam
- May-8-2009
- Polynomial approximation (see lecture notes on exercise sheet 3)
- Ordinary differential equations
- Vector field
- Explicit Euler method
- Realtime simulations
- May-15-2009
- Systems of linear and nonlinear differential equations
- Phase space
- Multidimensional functions
- Helix
- Cycloid
- Jun-26-2009
- Final Exam
- Exercise Sheets:
- Please download and print the most recent exercise sheet and bring it to the lecture.
- Homework:
- due April 8, 2009
- Read the course introduction
- Download the revised version of exercise sheet 1.
- Watch the video tutorial Getting Started with MATLAB
- Watch the video tutorial Working in the Development Environment
- Recapitulate the topics covered in the lecture on March 27 (mIntro01 - mIntro07)
- Watch the video tutorial Writing a MATLAB Program
- Solve exercises 1-8. Open a new file for each exercise!
- Create the plots shown in figures 2 (c) and (d) on page 5 of exercise sheet 1.
Label your plots by using the command
title('lastname, firstname - your student ID number')
After having created the first plot, print the figure window into a png-file by typing the commandprint -dpng lastname_firstname_8c.png
in the Command Window. Do the same for the plot shown in figure 2 (d). Send me the two files via email in time!
- due April 15, 2009
- Read and understand the topics in mIntro08 to mIntro11
- Solve exercises 9-11
- Create the plot shown in figure 3 on page 6 of exercise sheet 1.
Label your plot by using the command
title('lastname, firstname - your student ID number')
After having created the plot, print the figure window into a png-file by typing the commandprint -dpng lastname_firstname_9.png
in the Command Window. Send me the file via email!
- Create both plots shown in figure 4 on page 7 of exercise sheet 1. Send me the corresponding png-files by email.
- due April 17, 2009
- Download and print exercise sheet 2.
- due April 23, 2009
- Solve exercise 15.
- Solve exercise 19.
- due May 7, 2009
- Solve exercise 20 (a).
- Solve exercise 21 (a) - (d).
- due May 8, 2009
- Download and print the updated (!) exercise sheet 3.
- due May 14, 2009
- Solve exercise 14.
- Solve exercise 24 (e) - (f).
- due May 15, 2009
- Download and print exercise sheet 4.
- Solutions:
- due April 8, 2009
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Last modification 24.07.2009 |