Recurrence relations, combinatorics, recursive algorithms, proofs of correctness.
Prerequisites or Corequisites
CS 261 with C or better and (CS 225 [C] or MTH 231 [C])
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Most of the material is on the canvas site. For a few sections you would refer to the
following resources. Additionally, you would use these resources for the optional readings.
Introduction to Algorithms by Cormen, Leiserson, Rivest, Stein, 3rd
The ebook is available at
The programming assignments needs to be submitted in Python language. Python language
can be learnt or revised at: https://openbookproject.net/thinkcs/python/english3e/
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(OSU Beaver Store website). If you purchase course materials from other
sources, be very careful to obtain the correct ISBN.
Measurable Student Learning Outcomes
1. Prove the correctness of algorithms using induction.
2. Define O, Ω, and θ in a rigorous way.
3. Solve simple recurrence relations.
4. Implement a recursive algorithm to solve a simple problem.
5. Implement a divide-and-conquer algorithm to solve a problem of intermediate
6. Implement a polynomial-time heuristic algorithm to solve an NP-hard problem.
7. Explain how a problem is shown to be NP-complete.
8. Compute the time complexity of polynomial-time and exponential-time iterative and
9. Design dynamic programming algorithms and analyze their running time.
Evaluation of Student Performance
• Assignments: 120 points
• Quizzes: 70 points
• Discussions: 35 points
• Midterm Exam: 50 points
• Final Exam: 60 points
• Bonus:3 points
o Homework: Graph Algorithms : 3 point
Grade Percent Range
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