1. Design and Analysis of Algorithms
The chapter focuses on the design and analysis of algorithms, emphasizing the significance of correctness and efficiency. It introduces essential concepts, such as asymptotic complexity, problem modeling, and various algorithmic design techniques like divide and conquer, greedy algorithms, and dynamic programming. Additionally, it outlines the structure and expectations for the course, including topics, evaluations, and recommended readings.
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Sections
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What we have learnt
- Understanding the importance of algorithm correctness and efficiency.
- Familiarity with asymptotic complexity and data structures.
- Recognition of generic problem-solving techniques and their applications
- Awareness of the course structure, including topics covered over the eight weeks.
Key Concepts
- -- Algorithm Correctness
- The assurance that an algorithm performs the intended computations correctly for all valid inputs.
- -- Asymptotic Complexity
- A notation used to describe the running time of an algorithm as the size of the input grows, generally expressed as Big O notation.
- -- Divide and Conquer
- An algorithm design paradigm that solves a problem by breaking it down into smaller subproblems, solving each one independently, and then combining their solutions.
- -- Greedy Algorithms
- Algorithms that make the locally optimal choice at each stage, with the hope of finding a global optimum.
- -- Dynamic Programming
- A method for solving complex problems by breaking them down into simpler subproblems, storing the results of solved subproblems to avoid redundant calculations.
Additional Learning Materials
Supplementary resources to enhance your learning experience.