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. |
Course Content: |
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. |
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2) |
Empirical analysis of algorithms, analysis of algorithms, amortized analysis |
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3) |
Recurrences, substitution method, recursion-tree method, master method. |
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4) |
Brute Force Algorithms |
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5) |
Divide and Conquer Algorithms |
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6) |
Merge sort, quicksort, randomized quicksort, binary search |
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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
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8) |
Space and Time Trade-offs: Input Enhancement (Counting based sorting, string matching), Prestructuring (Hashing, Hash functions, open addressing).
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9) |
Midterm |
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10) |
Dynamic Programming: Coin-row problem, Knapsack problem, Longest common subsequence. |
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11) |
Dynamic Programming: Knapsack problem, Longest common subsequence. |
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12) |
Greedy Algorithms: Activity selection, Huffman codes, Prim’s algorithm, Kruskal’s Algorithm |
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13) |
Single-source shortest paths: The Bellman-Ford algorithm, Dijkstra's algorithm. |
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14) |
P, NP, and NP-complete problems |
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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.
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References: |
Yok - None |
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Program Outcomes |
Level of Contribution |
1) |
Has theoretical and practical knowledge on management, business, trade, economy, entrepreneurship, innovation, sustainable development related to International Trade and Business and can use this information |
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2) |
Can collect data from different sources in the global business world and successfully apply research techniques, use information and communication technologies. |
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3) |
Can analyze opportunities and threats with strategic thinking skills by using different resources and channels in the ever-changing global business world. |
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4) |
Can communicate orally and in writing with a good knowledge of English grammar. |
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5) |
He / she can transfer the knowledge and skills he / she has acquired in the field to the relevant people in written and oral form and evaluate them critically. |
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6) |
Adopts the principles of business ethics with the awareness of professional responsibility and can apply these principles within the framework of legal rules in the field of global trade and business. |
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7) |
He / she can collaborate in and out of the field, take responsibility, respect cultural differences and have ethical values. |
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8) |
Has sufficient awareness of social rights, justice, cultural values, environmental awareness, occupational health and safety. |
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9) |
With the lifelong learning skill acquired, she/he can identify learning needs and improve herself/himself |
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