CS 5800. Algorithms (4 Hours)

Course Outline:

1. Mathematical Techniques for Algorithm Design and Analysis

• • Asymptotic notation and time complexity analysis
  • Loop invariants and Hoare triples

1. Sorting and Searching Algorithms

• • Overview of common sorting and searching algorithms
  • Analysis of their time and space complexity

1. Advanced Data Structures

• • Design and application of advanced data structures
  • Balancing trade-offs in data structure selection

1. Hashing and Greedy Algorithms

• • Applications of hashing in algorithm design
  • Design principles for greedy algorithms

1. Dynamic Programming

• • Principles of dynamic programming
  • Solving optimization problems using dynamic programming techniques

1. Graph Algorithms

• • Applications of graph algorithms in data analytics
  • Analyzing graph structures and solving graph problems

1. NP-Completeness

• • Understanding problems in NP class
  • Identifying NP-complete problems

Assignments and Assessments:

• Problem-solving assignments
• Algorithm design projects
• Midterm exam
• Final project: Solving a complex problem using algorithmic techniques

Lesson Summary

CS 5800. Algorithms (4 Hours)

Course Outline:

Mathematical Techniques for Algorithm Design and Analysis

• Asymptotic notation and time complexity analysis
• Loop invariants and Hoare triples

Sorting and Searching Algorithms

• Overview of common sorting and searching algorithms
• Analysis of their time and space complexity

Advanced Data Structures

• Design and application of advanced data structures
• Balancing trade-offs in data structure selection

Hashing and Greedy Algorithms

• Applications of hashing in algorithm design
• Design principles for greedy algorithms

Dynamic Programming

• Principles of dynamic programming
• Solving optimization problems using dynamic programming techniques

Graph Algorithms

• Applications of graph algorithms in data analytics
• Analyzing graph structures and solving graph problems

NP-Completeness

• Understanding problems in NP class
• Identifying NP-complete problems

Assignments and Assessments:

• Problem-solving assignments
• Algorithm design projects
• Midterm exam
• Final project: Solving a complex problem using algorithmic techniques