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DSCI 512: Algorithms and Data Structures

How to choose and use appropriate algorithms and data structures to help solve data science problems. Key concepts such as algorithmic complexity and recursion.

Schedule

Note: lecture recording videos from the 2019 course offering are available here.

# Topic Optional reading/watching
1 Time complexity, big O, space complexity Introduction to Big O notation
2 Searching, sorting, hash tables Binary search video - watch until 31:00.
3 Recursive algorithms
4 Recursive data structures
5 Graphs, graph searches Graph traversals video; brilliant.org on Graph Theory, Traversals, and BSTs
6 Adjacency matrices, sparse matrices, generators, map/reduce StackOverflow post on generators
7 Discrete optimization Linear programming and discrete optimization with Python using PuLP
8 Dynamic programming, Speeding up Python code Dynamic programming

Lab Assignments

Lab topic
1 Computational complexity
2 Recursive algorithms & data structures
3 Graphs
4 Discrete optimization

Course Learning Objectives

By the end of the course, students are expected to be able to:

  1. Analyze the scalability and trade-offs of various basic algorithms and data structures using Big-O notation.
  2. Read and interpret recursive functions.
  3. Select appropriate data structures, such as graphs, given a data set.
  4. Map certain real-world problems to discrete optimization problems.
  5. Diagnose rate-limiting aspects of slow Python code and enumerate various options for speeding it up.

Online reference material

Books

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