18.091 | Spring 2005 | Undergraduate

Mathematical Exposition

Calendar

SES # TOPICS KEY DATES
1

Student Lecture

Examples of Dynamical Systems

Orbits

Homework 1 is handed out

Lab 1

2 Mathematica® Lab  
3

Student Lecture

Graphical Analysis of Orbits

Fixed and Periodic Points

Homework 1 due

Homework 2 is handed out

Lab 1 due

Lab 2

4 Mathematica® Lab  
5

Student Lecture

Bifurcations

Homework 2 due

Homework 3 is handed out

Lab 2 due

6 Writing Feedback  
7

Student Lecture

The Quadratic Family

Homework 3 due

Homework 4 is handed out

8 Writing Feedback  
9

Student Lecture

Transition to Chaos

Homework 4 due

Homework 5 is handed out

Lab 3

10

Student Lecture

Symbolic Dynamics

Homework 5 due

Homework 6 is handed out

11

Student Lecture

Chaos

Homework 6 due

Lab 3 due

12

Student Lecture

Sarkovskii’s Theorem

Homework 7 is handed out

Writing Project: Sarvoskii’s Theorem

13

Student Lecture

Sarkovskii’s Theorem (cont.)

The Role of the Critical Orbit

Homework 7 due

Homework 8 is handed out

14

Student Lecture

Newton’s Method

Fractals

Homework 8 due
15

Student Lecture

Fractals (cont.)

 

Course Info

Instructor
Departments
As Taught In
Spring 2005
Learning Resource Types
Lecture Notes
Projects with Examples