CMPS 3120 Algorithm Analysis

Catalog Description

CMPS 3120 Algorithm Analysis (3 units)

Algorithm analysis, asymptotic notation, hashing, hash tables, scatter
tables, and AVL and Btrees, brute-force and greedy algorithms,
divide-and-conquer algorithms, dynamic programming,
randomized algorithms, graphs and graph algorithms, and distributed
algorithms.
Prerequisites by Topic

Big-oh notation, complexity, and data structures
Units and Contact Hours

3 semester units. 2 units lecture, 1 unit lab.
Type

Required for Computer Science
Required Textbook

Introduction to the Design and Analysis of Algorithms, 3rd edition,
Anany Levitin, Pearson, 2012,
ISBN-10: 0-13-231681-1; ISBN-13: 978-0-13-231681-1.
Recommended Textbook and Other Supplemental Materials

None.
Coordinator(s)

Marc Thomas and Donna Meyers
Student Learning Outcomes

This course covers the following ACM/IEEE Body of Knowledge student
learning outcomes:
(CC-AL1) Basic algorithmic analysis.

(CC-AL2) Algorithmic strategies.

(CC-AL3) Fundamental computing algorithms.

(CC-AL4) An introduction to distributed algorithms.

(CE-ALG5) Algorithmic complexity.

ABET Outcome Coverage

This course maps to the following performance indicators for
Computer Science (CAC/ABET):

- (CAC PIa1): 3a. An ability to apply knowledge of computing and mathematics appropriate to the discipline:
- PIa1. Apply and perform the correct mathematical analysis. Laboratory/homework assignments and questions on the midterms and final require direct applications of the mathematical theory of algorithms pertinent to computer science.
- (CAC PIb1): 3b. An ability to analyze a problem, and identify and define the computing requirements and specifications appropriate to its solution:
- PIb1. Identify key components and algorithms necessary for a solution. Implementation on actual hardware and the ability to analyze performance (e.g. the roles of caches, virtual memory, use of multi-threaded code) will be required for successful completion of laboratory/homework assignements and will be tested on the exams.
- (CAC PIj1): 3j. An ability to apply mathematical foundations, algorithmic principles, and computer science theory in the modeling and design of computer-based systems in a way that demonstrates comprehension of the tradeoffs involved in design choices:
- PIj1. Understand performance and cost as these relate to software/firmware-based and hardware-based implementations. Implementation and performance analysis of different algorithms (e.g. direct, recursive, etc.) which solve the same problem will be required for successful completion of laboratory and homework assignments and will be tested on the exams.

Lecture Topics and Rough Schedule

week 01 | (1.1-1.4 and Appendix A) introduction, basic issues with examples, useful formulas, important problem types, and review of data structures. |

week 02 | (2.1-2.3) input size, order of growth and big-O notation, analysis and examples of non-recursive algorithms. |

week 03 | (2.4, Appendix B, and 3.1-3.2) analysis and examples of recursive algorithms, searching, sorting, and string matching. |

week 04 | (3.3-3.4) closest-pair, convex hull problems, and exhaustive search (traveling salesman, knapsack). |

week 05 | (4.1) insertion sort, (4.2) topological sorting, and (4.3) combinatorial considerations. |

week 06 | (4.4) binary search, (4.5) Lomuto partitioning, (5.1) mergesort, and (5.2) quicksort. |

week 07 | (5.3-5.4) binary tree traversals, (6.2) Gaussian elimination. |

week 08 | (6.3) AVL and 2-3 search trees |

week 09 | (6.2) Transform-and-conquer algorithms. |

week 10 | (6.4) heapsort, (6.5) Horner's rule. |

week 11 | (7.3) hash tables and big-oh(1) algorithms. |

week 12 | (7.4) B-trees. |

week 13 | (8.2) Distributed algorithms. |

week 14 | (9.5) multi-threaded code. |

week 15 | (10.2) P vs. NP. Contemporary issues surrounding computational complexity. |

Grading Policy

A 93% A- 90% 10 HW/Labs...10% B+ 87% 2 Midterms..60% B 83% Final Exam...30% B- 80% C+ 77% C 70% C- 65% D+ 60% D 50% D- 40% F below 40%

Estimated ABET Category Content

Fundamental Computing: 2 Credit Hours Advanced Computing: 1 Credit Hour

Prepared By

Donna Meyers on June 1, 2014
Approval

Approved by CEE/CS Department on June 1, 2014. Effective Fall 2014