Design-of-Computer-Programs

Prerequisites and Requirements

This course is intended for experienced Python programmers; students should be familiar with the Python syntax, as well as familiar with the following programming concepts: data structures, basic algorithms, and lambda functions

Syllabus

Lesson 1: Winning Poker Hands

Steps of the design process; Developing for clarity and generality; Arguments for program correctness; Experimentation and simulation.; Design tradeoffs; Simplicity and Clarity. Decomposition and composability.

Lesson 2: Back of the Envelope

Back of envelope calculations; When to use brute force and when to be clever; The Zebra puzzle; Generator expressions; Permutations and combinations. Cryptarithmetic; Recursive and wishful thinking; Longest palindrome substring algorithm.

Lesson 3: Regular Expressions, other languages and interpreters

Defining the language of regular expressions; Interpreting the language; Defining the set of strings matched by a regular expression; Other languages.

Lesson 4: Dealing with complexity through search

Search: finding your way with a flashlight or boat; pouring water. Analyzing the efficiency of an algorithm; Recurrence relations; Matching data types with algorithms.

Lesson 5: Dealing with uncertainty through probability

Probability: the game of Pig; Maximizing expected utility to optimize strategy.

Lesson 6: Word Games

Managing complexity; Large sets of words; Appropriate data structures; Word games.

Lesson 7: Conclusion

Final exam/project