This page will be updated throughout the semester.
Worksheets Homework Labs Resources
Instructor:
Dr. Marshall Hampton
Office: 172 SCC
Email: mhampton at d.umn.edu (preferred contact method)
Telephone: 726-6329
Office hours: 11:30 - 12:45 Monday, Wednesday, Thursday, and Friday.
Class homepage:
http://www.d.umn.edu/~mhampton/m3280s17.html (this page)
Lecture Times:
Section 009: 1:00 P.M. - 1:50 P.M., M, W, Th, F (1/11/2017 - 4/28/2017), EduE 50.
Lab Times:
010: 1:00 P.M. - 1:50 P.M., Tu, MonH 209
Lab TA:
Yifeng Mei.
Prerequisites:
Math 1297 (Calculus II) or equivalent.
Examples of expected knowledge and avoidable errors.
Student Conduct Code:
see the full description at http://regents.umn.edu/sites/default/files/policies/Student_Conduct_Code.pdf.
Note that while collaborating on homework and lab assignments is
encouraged, it is not acceptable to simply copy another person's work.
Textbook:
Differential
Equations and Linear Algebra, 2nd or 3rd Edition, Edwards and Penney,
Prentice-Hall, is our primary textbook. It does not matter
which edition of the text you have.
Topics:
This course will build on your knowledge of
calculus, extending it to differential equations. In addition to their
intrinsic mathematical interest, differential equations are applied in a
wide variety of fields. In order to understand systems of linear
differential equations, we will also learn some basic linear algebra.
We will try to cover some sections from every chapter of the book,
although more attention will be given to chapters 1 through 7. These
will be covered at a pace of roughly one chapter per week.
| Week 1: | Introduction, slope fields and separable ODES | Ch 1.1 - 1.3 |
| Week 2: | 1st order ODEs and numerical methods | Ch 1.4-1.6, 2.4-2.6 |
| Week 3: | Autonomous ODEs, 1D equilibria, compartment models | Ch 2.1 - 2.4, 3.1-3.3 |
| Week 4: | Matrix Algebra: row reduction, inversion | 3.1 - 3.5 |
| Week 5: | Determinants, Vector Spaces | 3.6 - 4.1 |
| Week 6: | Vector Spaces: bases, linear independence, subspaces, spans | 4.1 - 4.6 |
| Week 7: | 2nd order ODEs and review | 5.1 - 5.2 |
| Week 8: | Higher order ODEs, numerics | 5.3 - 5.6 |
| Week 9: | Eigenvectors and eigenvalues | 6.1 - 6.3 |
| Week 10: | Systems of differential equations | 7.1 - 7.5 |
| Week 11: | Review | |
| Week 13: | Laplace Transform | 10.1 - 10.5 |
| Week 14: | Nonlinear Systems | 9.1 - 9.4 |
| Week 15: | Review |
Exams:
There will be two midterms (2/24 and 3/31) and a final exam (Friday, May 5th, 12-1:55pm). A
calculator and sheet of notes is allowed on each exam. For the final
you can use two pages of notes.
Practice exams:
Practice tests for the midterms and final will be posted here 1 week before the relevant exam.
Calculator Policy:
Calculators are allowed during exams
(note: an internet-capable device is not considered a calculator).
However, you are expected to show the steps that justify your answers,
and to give exact answers whenever possible. This also applies to
homework unless the question specifically instructs you to use a
computer or calculator. On a test, any step on which you use a
calculator must be clearly indicated (just write "CALCULATOR" or
"CALC").
Grading:
Grades will be based on your
understanding of the material as demonstrated by class participation
(mainly worksheets), office hours, homework, labs, and exams. The
homework assignments will be weighted equally, with the lowest score
dropped. The lowest lab score will also be dropped. The lowest three worksheet scores will be dropped.
The approximate weighting is homework is 20%, each
midterm 15%, labs 10%, worksheets 15%, and the final exam is 25%. Note
that I do not use traditional grading percentages, although generally
a score of around 90% of the total is sufficent for an A.
Homework:
Late homework is not
accepted without a prior arrangement. Your answers should include intermediate steps - it is not
acceptable to only write down an answer.
Assignment 1 (due Friday, January 13th).
Assignment 2 (due Friday, January 20th).
Assignment 3 (due Friday, January 27th).
Assignment 4 (due Friday, February 3rd).
Assignment 5 (due Friday, February 10th).
Assignment 6 (due Friday, February 17th).
Assignment 7 (due Monday, February 27th).
Assignment 8 (due Friday, March 17th).
Assignment 9 (due Thursday, March 23rd).
Assignment 10 (due Thursday, April 6th).
Assignment 11 (due Thursday, April 13th).
Assignment 12 (due Wednesday, April 26th).
Labs:
We will use the computer algebra system Sage
for our labs. Sage can be accessed through a browser at
http://sage2.d.umn.edu:8008/ or
Server 2.
The two servers are not synchronized so if you wish to switch, you
need to make accounts separately on each, and download/upload your lab.
Lab 1 sage2.d.umn.edu
Lab 1 server 2.
Highly Recommended!:The Essence of Linear Algebra, an excellent set of videos by Grant Sanderson (3Blue1Brown).
Interactive introduction to Python. This might be easier to use than the CodeAcademy site.
MIT ODE lectures online. This course is somewhat different from ours
but there is significant overlap.
Code Academy's brief intro to Python. A good interactive tutorial on the basics of the Python language.
Policy statement:
The University of Minnesota is
committed to the policy that all persons shall have equal access to its
programs, facilities, and employment without regard to race, religion,
color, sex, national origin, handicap, age, veteran status, or sexual
orientation.
Disabilities:
An individual who has a disability, either
permanent or temporary, which might affect his/her ability to perform in
this class should contact the instructor as soon as possible so that he
can adapt methods, materials and/or tests as needed to provide for
equitable participation.