510274 (A05/A54): 12:00p-12:50p Tu (LAB2) - Thu (DIS);
TA: Ryan Tully-Doyle.
510275 (A06/A55): 01:00p-01:50p Tu (LAB2) - Thu (DIS);
TA: Ryan Tully-Doyle.
CATALOG DESCRIPTION:
20D. Introduction to Differential Equations (4)
Infinite series.Ordinary differential equations:exact,separable,
and linear; constant coefficients, undetermined coefficients,
variations of parameters. Series solutions. Systems, Laplace transforms,
technique for engineering sciences. Computing symbolic and graphical
solutions using Matlab. Formerly numbered Math. 21D. May be taken as
repeat credit for Math. 21D.
Prerequisite: Math 20C (or Math 21C) with a grade of C- or better.
LECTURES, READING, HOMEWORKS:
The list of lecture topics each week and the corresponding theory
homeworks problems assigned each week will be posted on the Main Class
Webpage that you are currently reading.
You should read the relevant sections in the text before
the lectures in order to get the most from the lectures.
The lectures will highlight the important parts of the material,
but there will not be time in lecture to cover all of the material
in each section in detail.
Therefore, having access to, and reading, the textbook
is an important component of the course.
Below is a list of the topics for each of the lectures during the quarter.
(Sections numbered 11.* refer to the Stewart book, whereas the
remaining sections refer to the Conrad book.)
Homogeneous equations,
and the case of constant coefficients
Wed 11/17
23
5.5
& Review
Inhomogeneous equations (method of undetermined coefs);
REVIEW for Midterm 2
Fri 11/19
-
Midterm 2
TOPICS COVERED: HW4-HW7 (Conrad 1.3-4.4).
WEEK 9
Mon 11/22
24
5.8
Variation of constants/parameters
Wed 11/24
25
6.1, 6.3
Definition and properties of the Laplace transform
Fri 11/26
-
Holiday
Thanksgiving
WEEK 10
Mon 11/29
26
6.4
Inverse transforms of rational functions
Wed 12/1
27
7.1-7.2
Series solutions of ODE at a regular point.
Fri 12/3
-
Review
REVIEW for Final Exam
FINALS WEEK
Thu 12/9
-
Final Exam
TOPICS COVERED: HW8-HW10 (Conrad 5.1-7.2)
AND Commulative.
GRADES, EXAMS, DATES:
Your scores on the theory and computer homeworks each count for 10%
of your grade, making the combined homeworks count for
20% of your final grade.
The remaining 80% of your grade will be calculated from your
performance on two midterm exams and one final exam, to
be given on the dates below.
EXAM DATES:
Midterm 1: Friday Oct 22, in class.
Covers HW1-HW3 (Stewart 11.1-11.12, Conrad 1.1-1.2);
20% of grade.
Midterm 2: Friday Nov 19, in class.
Covers HW4-HW7 (Conrad 1.3-4.4);
20% of grade.
Final: Thursday Dec 9, 8:00-11:00am, PCYNH/MULTI 106.
Covers HW8-HW10 (Conrad 5.1-7.2) and Commulative;
40% of grade.
OTHER IMPORTANT DATES:
First lecture: Fri, Sep 24
Last lecture: Fri, Dec 3
Finals week: Mon-Sat, Dec 6-11
Holiday: Thu, Nov 11 (Veterans Day Holiday --
No discussion on Thu 11/11)
Holiday: Thu-Fri, Nov 25-26 (Thanksgiving Holiday --
No discussion on Thu 11/25, no lecture on Fri 11/26)
COMPUTER HOMEWORKS:
Each week you will be assigned some computer problems
that compliment the lectures and theory homeworks for that week.
Your TA will explain exactly how to use the computers allocated to the
class for this purpose, and will give you the laboratory time and
location information for our particular class.
The computer laboratory time is for your benefit; your TA will be
available during that hour to help you with the computer problem sets
each week.
You should be able to complete the problem set for that week during
the hour allocated.
Some people have conflicts with other courses during the computer
laboratory time; you do not have to attend the laboratory sessions,
but you will have to make other arrangements to get access to a computer
with MATLAB to complete the computer problem set each week.
You should read the homework over before going to the lab
each week, otherwise you will not be able to take advantage of the
time you have in that hour with the TA.
Your TA will explain exactly how to print out results to turn in
each week.
Complete information about the computer laboratories can be found at the
computer homework website
mentioned at the top of this page.
Here is a list of topics for each of the laboraties during the quarter:
Introduction to MATLAB Using Sequences and Series
Taylor Series
Modeling With ODEs
Direction Fields with DFIELD
The Phase Plane and Solution Curves for Systems of ODEs
Solution of Linear Systems Using Eigenvalues and Eigenvectors
Numerical Methods for ODEs and Systems of ODEs
The Laplace Transform
WEEKLY THEORY HOMEWORK ASSIGNMENTS:
The weekly homeworks assigned below are to be turned in to the TA by the
deadlines posted below.
The discussion sections are for your benefit; your TA will
help you work the assigned homework problems, which is the best way
to help you prepare for the midterms and final exams.
I do not mind if you work with other students in the class
on the homework problems each week (in fact, I encourage it), but
everyone must write up and turn in a separate homework.
If you can do the homework problems well, you will be
well-prepared for the exams.
Below are the assigned homework problems for each week during the quarter.
WARNING: I sometimes make minor changes to the problem sets (deleting or
adding a problem here and there) to reflect how far we get in the lectures,
so please check this page often for updated homework assignments.
