Fundamental Algorithms - Winter 09

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Term
Winter 09
Lecturer
Jun.-Prof. Dr. Michael Bader
Time and Place
Friday, 9-11, lecture hall MI 03.07.023 (!room change!)
Audience
Computational Science and Engineering, 1st semester (Module IN2157); Biomedical Computing
Tutorials
-
Exam
written exam (date: Feb 15, 2010)
Semesterwochenstunden / ECTS Credits
2 SWS (2V) / 3 Credits
TUMonline
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Contents

The course will provide an overview of fundamental algorithms and an introduction to the analysis of algorithms. Topics will be:

  • Fundamentals: Models of Computation, Complexity Measures
  • Sorting: Bubble-Sort, Merge-Sort, Quick-Sort, Median-Algorithms, Lower Bounds, etc.: sorting in parallel
  • Searching: Hashing, Search Tress, etc.
  • Arithmetic Problems: parallel prefix computation, parallel matrix and vector operations
  • Graph Algorithms: Transitive Closure, Shortest Path Problems, Minimum Spanning Trees (if time allows)

Lecture Notes and Material

Slides from the Lecture

Introduction - Algorithms, Fibonacci example, growth of functions
Oct 30, Nov 6
slides
Sorting Algorithms
Nov 6, Nov 13
slides
More Sorting
Nov 20, Nov 27
slides
Selecting
Dec 04
slides
Random Access Machines
Dec 11
slides
Recurrences
Dec 18
slides
The PRAM Model
Jan 8
slides
Searching
Jan 15
slides
AVL Trees
Jan 22
slides

Worksheets

Growth of functions
Oct 30
worksheet, solution
Complexity of Algorithms, Sorting on Matrices
Nov 6
worksheet, solution
Recurrences - Complexity of MergeSort and QuickSort
Nov 13
worksheet, solution
CountingSort
Nov 20
worksheet, solution
Selecting
Dec 4
worksheet, solution
RAM
Dec 11
worksheet, solution
PRAM
Jan 8
worksheet
Searching
Jan 15
worksheet; for solution, see skript on virtual teaching centre (sections on searching on binary search trees)
Searching
Jan 22
worksheet

Further Material

Literature

  • Cormen, Leiserson, Rivest, Stein: Introduction to Algorithms, MIT Press
  • Heun: Grundlegende Algorithmen, Vieweg 2000
  • Sedgewick: Algorithms, Pearson Education
  • Shackleford, Computing and Algorithms, Addison Wesley Longman
  • Kleinberg, Tardos: Algorithm Design, Pearson Education