Fundamental Algorithms - Winter 09
- 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 (preliminary date: Feb 15, 2010)
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2V) / 3 Credits
- TUMonline
- {{{tumonline}}}
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
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
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