18.091 | Spring 2005 | Undergraduate
Mathematical Exposition

Lecture Notes

Lectures are prepared and given by students. See Preparing Lectures (PDF) for guidance in preparing and giving lectures.

The following table contains lecture notes created by the students for their own lectures.

SES # TOPICS LECTURE NOTES
1

Student Lecture

Examples of Dynamical Systems

Orbits

(PDF) (Courtesy of Jeremy Hurwitz. Used with permission.)
2 Mathematica® Lab  
3

Student Lecture

Graphical Analysis of Orbits

Fixed and Periodic Points

(PDF) (Courtesy of Glenn Austin Ford. Used with permission.)
4 Mathematica® Lab  
5

Student Lecture

Bifurcations

(PDF) (Courtesy of Alan Dunn. Used with permission.)
6 Writing Feedback  
7

Student Lecture

The Quadratic Family

(PDF) (Courtesy of Wesley Mckinney. Used with permission.)
8 Writing Feedback  
9

Student Lecture

Transition to Chaos

(PDF) (Courtesy of Yevgeny K. Zaytman. Used with permission.)
10

Student Lecture

Symbolic Dynamics

(PDF) (Courtesy of Alenjandro Ochoa. Used with permission.)
11

Student Lecture

Chaos

 
12

Student Lecture

Sarkovskii’s Theorem

(PDF) (Courtesy of Jeremy Hurwitz. Used with permission.)
13

Student Lecture

Sarkovskii’s Theorem (cont.)

The Role of the Critical Orbit

(PDF) (Courtesy of Wesley Mckinney. Used with permission.)
14

Student Lecture

Newton’s Method

Fractals

(PDF 1) (Courtesy of Yevgeny K. Zaytman. Used with permission.)

(PDF 2) (Courtesy of Alejandro Ochoa. Used with permission.)

15

Student Lecture

Fractals (cont.)

( PDF) (Courtesy of Alan Dunn. Used with permission.)

Course Info
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Spring 2005
Learning Resource Types
notes Lecture Notes
group_work Projects with Examples