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Math 9 Introduction to Programming for Numerical Analysis

Instructor: Umut Isik
Teaching Assistant (labs): Eric Puttock

Course homepage: https://www.math.uci.edu/~isik/teaching/17W_MATH9/index.html

Homework solutions: please get in touch if you need them.

Lecture notes (Jupyter notebooks) are available in the Lectures folder.

Lecture Contents
Lecture 1 Jupyter notebooks, expressions, operations, variables
Lecture 2 Variables, Types, Defining your own functions, local vs global variables
Lecture 3 Swapping variables, global keyword, if-else, booleans
Lecture 4 While loops, checking for primeness
Lecture 5 Don't use == on floats, thinking about algorithm first, division with remainder example
Lecture 6 Checking primes more efficiently, Euclidean Algorithm
Lecture 7 Break and continue, lists, for loops
Lecture 8 List comprehension, mutable vs. immutable
Lecture 9 More on mutables, binary numbers, selection-sort
Lecture 10 Sorting, complexity, big-O notation
Lecture 11 Recursion
Lecture 12 Flattening lists with recursion, map, reduce, filter
Lecture 13 More functional programming methods, map, reduce, filter
Lecture 14 Classes
Lecture 15 Lists of lists, Numpy arrays, matplotlib
Lecture 16 More numpy and matplotlib, plot, showimg, apply along axis
Lecture 17 More about slicing numpy arrays, working with images, historams
Lecture 18 Probability and randomness, random(), randomint
Lecture 19 Choice, mean and std of data-set, random simulations
Lecture 20 Random walks
Lecture 21 Law of large numbers and the central limit theorem
Lecture 22 Minimizing/maximizing functions, Gradient Descent
Lecture 23 Linear Regression
Lecture 24 Solving linear regression by gradient descent
Lecture 25 Singular Value Decomposition, Principal Component Analysis, Eigenfaces
Lecture 26 Matlab tutorial, key differences with Python

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