Fundamental Algorithms - Winter 14: Difference between revisions
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; Parallel Sorting, Odd-Even MergeSort (Dec 8, 15) | ; Parallel Sorting, Odd-Even MergeSort (Dec 8, 15) | ||
: [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/fundalg04.pdf slides] | : [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/fundalg04.pdf slides] | ||
; Graphs (Dec 15) | |||
: [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/fundalg08.pdf slides] | |||
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; MidTerm Test (Dec 23) | ; MidTerm Test (Dec 23) | ||
: [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/midterm.pdf exercises] and [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS13/midterm_solution.pdf solutions] | : [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/midterm.pdf exercises] and [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS13/midterm_solution.pdf solutions] | ||
; Weighted Graphs (Jan 20, Jan 27) | ; Weighted Graphs (Jan 20, Jan 27) | ||
: [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/fundalg09.pdf slides] (Dijkstra and Prim Algorithm are excluded for the exam) | : [http://www5.in.tum.de/lehre/vorlesungen/fundalg/WS14/fundalg09.pdf slides] (Dijkstra and Prim Algorithm are excluded for the exam) | ||
Revision as of 15:13, 13 December 2014
- Term
- Winter 14
- Lecturer
- Prof. Dr. Michael Bader
- Time and Place
- Mon 8.30-10.00, lecture hall MI HS 3 (first lecture on Oct 13, 8.30)
- Audience
- Computational Science and Engineering; Biomedical Computing (elective)
- Tutorials
- ---
- Exam
- written exam at end of semester
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2V) / 3 ECTS
- TUMonline
- https://campus.tum.de/tumonline/lv.detail?clvnr=950160214 (lecture),
https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=458187 (module description)
Contents
The course will provide an overview on the analysis of fundamental 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
- Foundations of parallel algorithms and simple models of parallel computation
- Algorithms on (weighted) graphs: traversals, shortest paths, etc.
Lecture Notes and Material
will be made available during the course.
Lecture Slides
- Introduction - Algorithms, Fibonacci example, Asymptotics (Oct 13, 20)
- slides
- Sorting - InsertSort, MergeSort, QuickSort, BucketSort (Oct 20, 27; Nov 3)
- slides
- (corrected partitioning algorithm, now fully according to Hoare's algorithm; the previous partitioning algorithm only worked, if all elements of A have distinct size)
- Recurrences (Nov 3)
- slides
- Searching (Nov 10, 17)
- slides
- AVL trees(Nov 10, 17)
- slides
- Hash Tables (Nov 24)
- slides
- Parallel Algorithms and PRAM (Dec 1, 8)
- slides
- Parallel Sorting, Odd-Even MergeSort (Dec 8, 15)
- slides
- Graphs (Dec 15)
- slides
Worksheets
- O-notation, etc. (Oct 13)
- worksheet and solution
- Complexity and Sorting (Oct 20)
- worksheet and solution (corrected Ex. 1)
- MergeSort (Oct 27)
- worksheet and solution
- Recurrences(Nov 3)
- worksheet and solution
- Sequential and Binary Search (Nov 10)
- worksheet and solution
- AVL trees (Nov 17)
- worksheet and solution
- Hashing (Nov 24)
- worksheet and solution
- PRAM - Linear Algebra and Prefix Problem (Dec 1)
- worksheet and solution
- PRAM - Prefix Problem and BucketSort (Dec 8)
- worksheet
Literature
- Cormen, Leiserson, Rivest, Stein: Introduction to Algorithms; MIT Press
- Berman, Paul: Algorithms: Sequential, Parallel, and Distributed; Cengage Learning Emea 2004
- Heun: Grundlegende Algorithmen; Vieweg 2000
- Sedgewick: Algorithms; Pearson Education
- Shackleford, Computing and Algorithms; Addison Wesley Longman
- Kleinberg, Tardos: Algorithm Design; Pearson Education