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Mathematics and the World (MATH 157)
Mathematics and the World (MATH 157)
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Mathematics and the World (MATH 157)

Mathematics and the World (MATH 157)

Joe Harris and Yusheng Luo | Spring 2019 | Harvard University
An interactive introduction to problem solving with an emphasis on subjects with comprehensive applications. Each class will be focused around a group of questions with a common topic: logic, information, number theory, probability, and algorithms.

General

Course Description
Sample Problems

Lecture Notes

Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14 (Extension of Lecture 13)
Lecture 15
Lecture 16
Lecture 17 (Guest Lecture)
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22 (Extension of Lecture 21)
Lecture 23
Lecture 24
Lecture 25

Readings

Options Markets: Cox and Rubinstein
Stochastic Calculus for Finance I: Shreve
Stochastic Calculus and Financial Applications: Steele
Conway’s Wizards: Khovanova

Homework Problems

Typesetting Tutorial & Template

Tutorial
Tutorial (Tex File)
Homework Template

Assignments

Homework 1
Homework 2
Homework 3
Homework 4
Homework 4 (Tex File)
Homework 5
Homework 5 (Tex File)
Homework 6
Homework 6 (Tex File)
Homework 7
Homework 7 (Tex File)
Homework 8
Homework 8 (Tex File)
Homework 9
Homework 9 (Tex File)
Homework 10
Homework 10 (Tex File)

Final Project

Final Project Guide
Final Topics
Project Ideas
 

A free and open archive of
Harvard & MIT course materials

Math
Mathematical Biology-Evolutionary DynamicsAutomorphic Forms and Arithmetic StatisticsVector Calculus and Linear Algebra IIDifferential GeometryMathematics and the WorldAlgebraic Geometry
Physics
Advanced ElectromagnetismModern Atomic and Optical Physics IFrontiers in Biophysics
CourseTexts
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