Math 341: Calculus, Linear Algebra, Differential Equations

Spring 2012

 

 

Class Time MWF 11:00am – 12:15pm
Section MATH 341, Section 0201
Class Location ARM 0103
Teacher Sébastien Motsch
Office 4123 Cscamm Building
Phone 5-0459 (campus)
Email smotsch@cscamm[dot]umd[dot]edu
Office Hours TuTh 1:00pm-2:00pm
Class webpage www.seb-motsch.com/teaching

 

 

Textbook

  • Martin Braun, Differential equations and their applications
  • ISBN 978-0387978949
  • 578 pages, 4th edition

Description

Specific topics to be covered in this course are: Linear differential equations, Existence-uniqueness theory, Numerical approximations, Second order differential equation, Power series, Laplace transform, Linear system, Stability and bifurcation theory, phase portrait, Poincaré-Bendixon theorem.

If time allows, we will also introduce Partial Differential Equations.

A syllabus is also available here.

Class Schedule

Jan 25 – Jan 27 Chapter I, Sections 1-3
Jan 30 – Feb 3 Chapter I, Sections 4,5,8,9,10
Feb 6 – Feb 10 Chapter I, Sections 10,13,15
Feb 13 – Feb 17 Chapter I-15,16 Chapter II-1,2
Feb 20 – Feb 24 Chapter II-3,4,5,6
Feb 27 – Mar 02 Chapter II-9,15. Review
Mar 5 – Mar 9 Mid term exam 1, Chapter III-4,8
Mar 12 – Mar 16 Chapter III-8,9,10,11
Mar 26 – Mar 29 Chapter III-11,12,13
Apr 2 – Apr 6 Chapter IV-1,2,3,4
Apr 9 – Apr 13 Chapter IV-4,5,6
Apr 16 – Apr 20 Mid term exam 2, Chapter IV-7,8
Apr 23 – Apr 27 Chapter IV-7,8,10
Apr 30 – May 4 Chapter Introduction to PDE

Class homework

Feb 6, 2012 1.2) 4,2,12,16 (try 19)   1.3) 5   1.4) 4,10
Feb 13, 2012 1.4) 22, (try 18)   1.5) 12   1.6) 1   1.8) 14, 16   1.9) 4, 8, 12
Feb 20, 2012 1.9) 16,17   1.10) 2, 4, 8, 16, 19 (try 14)   1.13.1) 2 (p. 105)
Feb 27, 2012 2.1) 6,15,16,17 (try 18)   2.2) 9   2.2.1) 6,18  2.2.2) 6 (p.149)
Mar 12, 2012 2.10) 20*   2.15) 2   3.1) 4,8  3.4) 2
Mar 26, 2012 3.4) 4,12*   3.8) 2,12,16,20 (try 13,18)   3.9) 2
Apr 2, 2012 3.8) 14   3.9) 4,6,8   3.10) 6,10 (try 17)   3.11) 2
Apr 9, 2012 3.11) 4,6,8,17   3.12) 9,12   4.1) 4,8
Apr 23, 2012 4.3) 10   4.4) 8 (look at 12)   4.5) 2 (p.413)   4.6) 2
Apr 30, 2012 4.6) 4,8   4.7) 11 (try 13)   4.8) 2,4,7
May 7, 2012 Homework 11

Grades

The grades are available at this page.

Quizzes

Quiz 1 Answer quiz 1
Quiz 2 Answer quiz 2
Quiz 3 Answer quiz 3
Quiz 4 Answer quiz 4, Extra question
Quiz 5 Answer quiz 5
Quiz 6 Answer quiz 6
Quiz 7 Answer quiz 7

Exams

There are two mid-term tests: March 5th and April 16th.
The final exam will be on Tuesday on May 15th (8-10 am, ARM 0103).

Exam 1 Practice exam 1-Answers,
Exam 1-Answers
Exam 2 Practice exam 2-Answers,
Exam 2-Answers
Final Practice exam (final)-Answers,
Final-Answers

Complement