Math
2a 

Differential Equations, Probability, and Statistics  
Fall 201415  

Lead
TA: Marius Lemm,
156 Sloan, 6263956805, mlemm @caltech.edu
Office Hours: Sundays, 5:30 PM Course Secretary: Kristy Aubry, Kaubry@caltech.edu 





Section
1

Andrei
Frimu Office hours: Sundays, 3:00 PM 155 Sloan, 626395 4081 
9:00 AM, Thurs 151 Sloan 
Section 2
 Jim Tao Office hours: Sundays, 10:00 AM 155 Sloan, 626395 4081 
9:00 AM, Thurs 153 Sloan 
Section
3

Karlming
Chen Office hours: Saturdays, 6:00 PM 155 Sloan, 626395 4081 
10:00
AM,
Thurs 151 Sloan 
Section
4

Pooya
Vahidi
Ferdowsi Office hours: Fridays, 6:00 PM 155 Sloan, 626395 4081 
10:00
AM,
Thurs 153 Sloan 
Section
5

Marius
Lemm* Office hours: Sundays, 5:30 PM 156 Sloan, 626395 6805 
10:00
AM,
Thurs 159 Sloan 
Section
6
 Nathan
Lawless Office hours: Sundays, 4:00 PM 155 Sloan, 626395 4081 
11:00
AM,
Thurs 151 Sloan 
Section
7

Dmitri
Gekhtman Office hours: Sundays, 3:00 PM 155 Sloan, 626395 4081 
1:00
PM,
Thurs 115 Beckman 
Section
8

Corina
Panda Office hours: Saturdays, 10:00 AM 385 Sloan, 626395 1732 
1:00
PM,
Thurs 102 Steele 
Section
10

Lei
Fu Office hours: Sundays, 2 PM 353 Sloan, 626395 1731 
2:00
PM,
Thurs 22 Gates 

The course is aimed at providing an
introduction to the theory of ordinary differential equations, with a
particular emphasis on equations with well known applications ranging
from physics to population dynamics. The material covered includes some
existence and uniqueness results, first order linear equations and
systems, exact equations, linear equations with constant coefficients,
series solutions, regular singular equations, Laplace transform, and
methods for the study of nonlinear equations (equilibria, stability,
predatorprey equations, periodic solutions and limiting cycles). 

Homework: There will be 8 homework assignments. Homework will be posted on the web at least a week in advance and is due by 12pm (noon) in the appropriate box outside Room 253 Sloan. Solutions will be posted on the webpage. Exams: There will be an open book, no collaboration 4 hr. midterm exam and a final Grading: 50% homework, 20% midterm, 30% final. Collaboration: Is allowed on the homework but not, of course, on the exams. Occasional homework problems might also require that you do them without help from others. In any case, the writeup must reflect your own understanding and not be copied. Computers: You are allowed (and encouraged) to use a computer for the analysis of vector and direction fields unless the opposite is explicitly stated. You may not use a computer to find formula solutions. Late Policy: Late homework is accepted at most twice during the term at the discretion of the TA. Note that fatigue, forgetfulness, etc. are not generally grounds for accepting late homework. Late exams will not be accepted except under exceptional circumstances, such as prolonged illness and a note from the Dean. Recitations: Go to the recitations! Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the Instructor will not have time to present in class. In general, get to know your TA and bug him/her to death (figuratively speaking) with your questions, and try to fill in all the holes in your understanding of the subject. 








