ECONOMICS AND FINANCE | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
CMP3005 | Analysis of Algorithms | Fall Spring |
3 | 0 | 3 | 6 |
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Language of instruction: | English |
Type of course: | Non-Departmental Elective |
Course Level: | Bachelor’s Degree (First Cycle) |
Mode of Delivery: | Face to face |
Course Coordinator : | Assist. Prof. GÜNET EROĞLU |
Course Lecturer(s): |
Assoc. Prof. TEVFİK AYTEKİN Prof. Dr. NAFİZ ARICA Assoc. Prof. CEMAL OKAN ŞAKAR |
Recommended Optional Program Components: | None |
Course Objectives: | The objective of the course is to introduce the fundamental mathematical tools needed to analyze algorithms, basic algorithm design techniques, advanced data structures, and important algorithms from different problem domains. |
The students who have succeeded in this course; I. Become familiar with some major advanced data structures and algorithms. II. Become familiar with mathematical tools used in analyzing algorithms. III. Be able to analyze the asymptotic running time of an (iterative/recursive) algorithm. IV. Be able to make best/worst/average case analysis of algorithms. V. Become familiar with important algorithm design paradigms. VI. Be able to decide which data structure/algorithm among a set of possible choices is best for a particular application. VII. Be able to recognize and distinguish efficient and inefficient algorithms. VIII. Be able to design efficient algorithms for new problems using the techniques learned and apply/report these solutions in an intra-discipline project group. |
Introduction, asymptotic notation, empirical analysis of algorithms, designing algorithms, amortized analysis, brute force algorithms, divide and conquer algorithms, transform and conquer algorithms, space and time trade-offs, dynamic programming, greedy algorithms, advanced data structures, B-trees, Insertion and Deletion from B-trees, graphs and graph algorithms, P, NP, and NP-complete problems. |
Week | Subject | Related Preparation |
1) | Introduction, asymptotic notation. | |
2) | Empirical analysis of algorithms, analysis of algorithms, amortized analysis | |
3) | Recurrences, substitution method, recursion-tree method, master method. | |
4) | Brute Force Algorithms | |
5) | Divide and Conquer Algorithms | |
6) | Merge sort, quicksort, randomized quicksort, binary search | |
7) | Transform and Conquer Algorithms: Solving systems of linear equations with Gaussian ination elimination, Balanced Search Trees, Heaps and Heapsort, Horner's Rule and Binary Exponentiation | |
8) | Space and Time Trade-offs: Input Enhancement (Counting based sorting, string matching), Prestructuring (Hashing, Hash functions, open addressing). | |
9) | Midterm | |
10) | Dynamic Programming: Coin-row problem, Knapsack problem, Longest common subsequence. | |
11) | Dynamic Programming: Knapsack problem, Longest common subsequence. | |
12) | Greedy Algorithms: Activity selection, Huffman codes, Prim’s algorithm, Kruskal’s Algorithm | |
13) | Single-source shortest paths: The Bellman-Ford algorithm, Dijkstra's algorithm. | |
14) | P, NP, and NP-complete problems |
Course Notes / Textbooks: | Anany Levitin, The Design and Analysis of Algorithms, Pearson International Third Edition. Cormen, T. H., Leiserson, C. E., Rivest, R. L. and Stein, C., Introduction to Algorithms (3rd Edition), MIT Press, 2009. Sanjoy Dasgupta , Christos Papadimitriou, Umesh Vazirani, Algorithms, McGraw-Hill Education. |
References: | Yok - None |
Semester Requirements | Number of Activities | Level of Contribution |
Quizzes | 2 | % 10 |
Project | 1 | % 20 |
Midterms | 1 | % 30 |
Final | 1 | % 40 |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 40 | |
PERCENTAGE OF FINAL WORK | % 60 | |
Total | % 100 |
Activities | Number of Activities | Workload |
Course Hours | 14 | 42 |
Project | 7 | 21 |
Quizzes | 6 | 12 |
Midterms | 5 | 28 |
Final | 5 | 35 |
Total Workload | 138 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Build up a body of knowledge in mathematics and statistics, to use them, to understand how the mechanism of economy –both at micro and macro levels – works. | 2 |
2) | Understand the common as well as distinctive characters of the markets, industries, market regulations and policies. | 2 |
3) | Developing the ability to explain global economic events by understanding different economic perspectives. | 3 |
4) | Acquiring the ability to analyze the impact of politics on the economy and vice versa. | 3 |
5) | Gaining the competence to propose solutions to economic problems and evaluate opposing policy recommendations. | 2 |
6) | Understanding and evaluating new economic developments and approaches. | 2 |
7) | Developing the ability to convey economic news and developments through written, oral, and graphical communication. | 3 |
8) | Gaining the competence to develop structured solutions for economic issues. | 2 |
9) | Acquiring the capability to present findings that support economic assumptions using numerical and verbal skills. | 2 |
10) | Gaining the competence to follow economic information and communicate with colleagues using a foreign language. | 4 |