Design and analysis of algorithms course plan
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This document provides a course plan for the Design & Analysis of Algorithms subject for the B. Tech. (CSE With spl. Cloud Computing,O&G,MT,OSS) program at the University of Petroleum & Energy Studies. The 3 credit, 15 week course aims to help students learn how to design and analyze algorithms to solve problems. It will cover topics like algorithm specification, performance analysis, randomized algorithms, greedy methods, dynamic programming, and backtracking. Students will be evaluated based on internal assessments, a midterm exam, and a final exam. The internal assessment will include assignments, tests, quizzes, and class participation.
![stage graphs
4.2 All pair shortest path,Single source
shortest path
4.3Knapsack Problem,TSP-Dynamic
programming solution
4.4 Basic traversal and search
techniques
4.5 Search strategies-Graphs and Trees
4.6 MST
Discussion,
T1
5
6
Lecture, Presentation,
Discussion,
Assignment #2
Quiz-II, Test-II
UNIT-V Backtracking
5.1 General method-Discussion
5.2 N queens problem
5.3 Sum of subsets, Graph colouring
5.4 Branch and bound Vs Backtracking
5.5 Knapsack,TSP,B& B strategies
Total Number of Sessions: 36
9.0
SUGGESTED READINGS:
9.1
TEXT BOOK [T]:
1.Introduction to Design and Analysis of Algorithm by AnanyLevitin, Pearson.
REFERRENCE BOOKS:
1. Ref. 1: Algorithm by Coremen, PHI.
9.2
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Design and analysis of algorithms course plan
- 1. Format No. QSP/7.1/01.F01 (A) Issue No.04 Rev. No 3 Dated: April 18, 2012 UNIVERSITY OF PETROLEUM & ENERGY STUDIES COURSE PLAN SUBJECT Design &Analysis of Algorithm PROGRAMME SUBJECT CODE GNEG100 3 SEMESTER DURATION OF SEMESTER SESSION DURATION CREDIT POINTS PREREQUISITE SUBJECTS StepwiseProblemsolvingapproach and Analysis B. Tech. (CSE Withspl. Cloud Computing,O&G,MT,OSS) III Semester Aug2013-Dec 2013 60 Minutes Faculty Members:G H Sastry APPROVED BY: (HOD) (DEAN) UPES Campus | “Energy Acres”| P.O. Bidholi via Prem Nagar| Dehradun-248007(UK) Tel: +91-135-2261090/91 | Fax: +91-135-2694204 | URL: www.upes.ac.in 1
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- 3. 1.0 LEVEL OF KNOWLEDGE REQUIRED: Logical Thinking Problem Solving Attitude C Programming 2.0 OBJECTIVES OF COURSE: The objective of the course is to expertise the student in writing, designing and analyzing the algorithm to solve a problem . Upon completion of this course the learners will be: Able to understand the necessity of the algorithm design. Able to write the algorithm to solve a problem. Able to analyze the performance of the algorithm. 3.0 SYLLABUS Sl.No Unit 1 Unit - 1 2 Unit – 2 3 Unit – 3 4 Unit – 4 5 Unit – 5 Contents Algorithm and its Specification, complete development of the algorithm, performance analysis , randomized algorithms. Algorithm and its Specification, complete development of the algorithm, performance analysis, randomized algorithms. The general method, Knapsack problem, tree vertex splitting job sequencing with deadlines, Optimal merge patterns, minimum cost spanning trees. The general method , multistage graphs , all pairs shortest paths , single source shortest paths : general weights , 0/1 Knapsack problem , the travelling salesman problem . Basic Traversal and search Techniques: Techniques for binary trees and graphs connected Components and spanning trees. The general method, the 8-queens problem, sum of subsets, graph colouring.Branch–and Bound: The method, 0/1 knapsack problem, travelling salesman problem. 3
- 4. 4.0 PEDAGOGY: The course will be taught using interactive lecture method. The concepts will be adequately illustrated with examples to make applications of theoretical concepts clear. Students will be required to develop the programs for the problems and they have to take Assignments and Exercises. 5.0 EVALUATION OF GRADING: Students will be evaluated based on the following 3 stages. 5.1 Internal Assessment 30% 5.2 Mid Term Examination 20% 5.3 End term Examination 50% 5.1. INTERNAL ASSESSMENT: WEIGHTAGE – 30% Internal Assessment shall be done based on the following: Sl.No. 1 2 3 4 Description Individual Assignments& Problems/Presentations Class Tests Quizzes General Discipline % of Weightage 40% 30% 20% 10% Internal Assessment Record Sheet (including Mid Term Examination marks) will be displayed on LMS at the end of semester i.e. last week of regular classroom teaching. 5.1.1 CLASS TESTS/QUIZZES: Two Class Tests based on descriptive type theoretical & numerical questions and Two Quizzes based on objective type questions will be held; one class test and one quiz atleast ten days before the Mid Term Examination and second class test and second quizatleast ten days before the End Term Examination. Those who do not appear in Viva-Voce and quiz examinations shall lose their marks. The marks obtained by the students will be displayed on LMS a week before the start of Mid Term and End Term Examinations respectively. 5.1.2 ASSIGNMENTS:After completion of each unit or in the mid of the unit,there will be home assignments based on theory and numerical problems.Those who fail to submit the assignments by the due date shall lose their marks. The marks obtained by the students will be displayed on LMS after each submission and subsequent evaluation. 5.1.3 GENERAL DISCIPLINE:Based on student’s regularity, punctuality, sincerity and behaviour in the class. The marks obtained by the students will be displayed on LMS at the end of semester. 4
- 5. 5.2. MID TERM EXAMINATION: WEIGHTAGE – 20% Mid Term examination shall be Two Hours duration and shall be a combination ofObjective, Short and Long theory Questions. 2012 5.3. Date of showing Mid Term Examination Answer Sheets: Oct. 30/Nov 1st, END TERMEXAMINATION: WEIGHTAGE – 50% End Term Examination shall be Three Hours duration and shall be a combination of Objective, Short and Long theory/numerical Questions. 6.0 GRADING: The overall marks obtained at the end of the semester comprising all the above three mentioned shall be converted to a grade. 7.0. ATTENDANCE: Students are required to have a minimum attendance of 75% in the subject. Students with less than the stipulated percentage shall not be allowed to appear in the End Term Examination 8.0 Sl. No 1. DETAILED SESSION PLAN No. of Sessions 8 Pedagogy Lecture, Presentation, Discussion. Detail of References T1 T1 2 7 Lecture, Presentation, Discussion, Assignment #1 Coverage UNIT-I Introduction 1.1 Notion of algorithm 1.2 Algorithmic process 1.3 Algorithm Design and analysis cycle 1.4 Performance Metrics 1.5 Complexities 1.6 Significance of Big Oh,Omega,Thetha notations 1.7 Randomized algorithms UNIT-Divide & Conquer 2.1 General Method-Discussions 2.2 Binary Search Technique 2.3 Finding Maximum and MinimumMinimum overhead 2.4 Merge Sort,Quick sort 2.5 Selection sort,Insertion Sort 2.6 Strassen’s Matrix Multiplication T1 T1 3 4 6 Lecture, Presentation, UNIT-IV Dynamic Programming 4.1 Genral method-Discussion,Multi Lecture, Presentation, Discussion Quiz-I, Test-I 9 UNIT-III: The Greedy Method 3.1 General MethodDiscussion,Knapsack 3.2 Tree vertex splitting 3.3 Job Sequencing problems,optimal merge pattern 3.4 Mimimum cost spanning tree-method 5
- 6. stage graphs 4.2 All pair shortest path,Single source shortest path 4.3Knapsack Problem,TSP-Dynamic programming solution 4.4 Basic traversal and search techniques 4.5 Search strategies-Graphs and Trees 4.6 MST Discussion, T1 5 6 Lecture, Presentation, Discussion, Assignment #2 Quiz-II, Test-II UNIT-V Backtracking 5.1 General method-Discussion 5.2 N queens problem 5.3 Sum of subsets, Graph colouring 5.4 Branch and bound Vs Backtracking 5.5 Knapsack,TSP,B& B strategies Total Number of Sessions: 36 9.0 SUGGESTED READINGS: 9.1 TEXT BOOK [T]: 1.Introduction to Design and Analysis of Algorithm by AnanyLevitin, Pearson. REFERRENCE BOOKS: 1. Ref. 1: Algorithm by Coremen, PHI. 9.2 6