This
is a tentative schedule that will change as we go through the class.
The class may at times progress faster or slower than the estimate.
You should mainly be concerned with the homework which will be assigned
everyday and the lesson plan for the next day which you might find
helpful to read through before you come to class. I will also post
announcements about the class etc. here. Please check this page
regularly.
The sections indicated are from the textboook Differential Equations and Linear Algebra, Goode & Annin, Third Edition.
This page is updated everyday. Refresh the page so you know you're looking at the latest version of the page.
Thu-July 3rd
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Homework:
Section 2.1:
T/F review 4 5 6 7 9. Look at the text for some of the thiings I didn't define.
Problems: 9 11 23 24 25
Section 2.2:
T/F review 1 5 10
Problems: 5 13a 16 19 43
Section 2.3:
T/F review: 2 4 5
Problems: 7 15 17
Read the sections 2.1 2.2 2.3. Make sure you have the 'skills' listed at the start of the exercises for each section.
For extra fun, try to prove the product rule for matrix multiplication.
If you don't have a lot of experience with matric multiplication, you
should practice. Write out your own matrices and try multiplying them.
To check http://www.bluebit.gr/matrix-calculator/matrix_multiplication.aspx
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Mon- July 7th
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Section 2.4:
T/F Review: 2 3 7
Problems 6 15 21
Section 2.5:
T/F Review: 3 4
Problems 3 10 17 22 24 35 49
Section 2.6:
Know the statements of the theorems 2.6.4 2.6.5 2.6.6
Understand the proofs of the theorems: 2.6.9 2.6.10 2.6.11 2.6.12
These are slightly more detailed solutions for the odd numbered
problems from the book. (The answers are at the back of the
book.) http://www.mtsac.edu/~sguth/goode/
I'll provide answers for the even numbered problems in the homework
from tomorrow. Please use these judiciously, only to check your work.
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Tue-July 8th
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Section 2.6
T/F Review 4 5 7
Problems 9 17 18 29 31 38
Section 3.1
T/F Review 2 3 6
Problems 9 13 19 22
Section 3.2
T/F Review 2 3 6
Problems 5 17 21 27 31 (Use P5 from the book) 46 49 52
Even solutions
In section 2.6, in yesterday's homework, you need to be abe to
manipulate matrices and understand the manipulation that is done in the
theorems. You do not need to know the proof of 2.6.11.
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Wed-July 9th
|
Section 4.2
T/F Review 1 4 7
Problems 3 11 12 19 20
Section 4.3
T/F Review 1 3 4 7
Problems 7 9 17 19 22 23
Even solutions
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| Thu-July 10th
|
Section 4.4
T/F Review 4 9 12
Problems 7 9 12 15 17 19 25 27 28
Section 4.6
T/F Review 4 5 8
Problems 6 11 15 17 23 25 28 34
Even solutions
We didn't start 4.6 in class yet. A basis for a vector space is a set
of vectors that is both independent and a spanning set for the vector
space. Try to see how far you can get with the questions from 4.6 with
that. We'll discuss 4.6 in class on Monday.
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| Mon- July 14th
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Finish 4.6 Homework.
Section 4.7
T/F Review 3 4 7
Problems 5 19 23 27 38
Section 4.8
T/F Review 1
Problems 1 3
Even solutions (Corrected 4.6 Problem 28)
Everything in the homework upto this point and after Quiz 1 will be on Quiz tomorrow. That's the general rule.
So Quiz tomorrow will be based on homework problems from 4.2 to 4.8.
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| Tue-July 15
|
Section 4.9
T/F Review 2 5 8
Problems 6 13 15 18
Section 5.1
T/F Review 2 4 6
Problems 4 9 15 23 27 35
Section 5.5
T/F Review 1 4 6
Problems 3 8 11 17 20
Even solutions
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| Wed-July 16
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Section 5.6
T/F Review 13 7
Problems 15 28 29 31 34 36
Section 5.8
T/F Review 2 3 5
Problems 2 7 13 17 22 23 24 32
Section 5.9
T/F Review 2 3 4
Problems 7 11 15 19
Even solutions
Use this page to check some calculations. Or find something similar online.
http://www.arndt-bruenner.de/mathe/scripts/engl_eigenwert.htm
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| Thu-July 17
|
Section 6.1
T/F Review 2 6 7
Problems 11 21 27 29 37
Section 6.2
T/F Review 2 6 7
Problems 5 11 17 33 40
Even solutions
Midterm will cover topics up to this point. Exam is in class during
class time. You may bring a cheat sheet. Two sides of one A4 paper.
We'll have review sessions in class from 1:3 on Saturday and Sunday. Come with questions and come early.
Midterm: Old exams are here: http://www.math.upenn.edu/ugrad/calc/m240/oldexams.html
Try to solve problems here that you recognize. Another source is
problems from the book that were not on the homework. The exam will
have mostly standard questions like the quiz and a couple of slightly
harder questions.
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Review for the Midterm
| Mon- July 21
|
Midterm
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| Tue-July 22
|
Section 6.3
T/F Review 2 3 6
Problems 9 17 23 35
Section 6.4
T/F Review 1 2 5
Problems 4 5 7 11
Also go through the examples in the book from 6.3 and 6.4.
Even solutions
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| Wed-July 23
|
Section 6.5
T/F Review 3 4 8
Problems 13 15 23 26
Section 6.9
Problems 1 2 5 8 11 15
Even solutions
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| Thu-July 24
|
Section 7.1
T/F Review 3 5 8
Problems 3 9 11 15 18 20
Section 7.2
T/F Review 2 5 6
Problems 4 5 7 12 13
Section 7.3
T/F Review 1 3
Problems 1 2 5 7
Review eigen vectors, defective matrix before class.
Even solutions
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| Mon- July 28
| Section 7.4
T/F review 2 4 5
Problems 6 17 19 20 23 26
Even solutions
| | Tue-July 29
| Morning Math Help has moved to 4N49 DRL. It is still 9-1 MTWR.
Section 7.5
T/F review 1 2 4
Problems 7 15 16 17
Even solutions
| | Wed-July30
|
Section 7.8
T/F review 2 3 5
Problems 3 6 10 11
Even solutions
| | Thu-July 31
| Section 7.9
T/F Review 1 3 4
Problems 11 17 20 23
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Mon- Aug 4
| Section 7.10
T/F Review 1 3 4 (Read the Van der Pol equation from the book)
Problems 1 6 9
Topics for the final:
Section 5.6 (including and) onwards.
That is, topics starting with the Eigenvalue problem. While there won't be an explicit question on solving lineear equations or
finding determinants etc. you should know how to use these tools that are needed for the later sections.
| Tue- Aug 5
| We'll do some homework problems. You can ask me questions as well.
| Wed- Aug 6
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| Thu- Aug 7
| Final
In class, during class time.
You may bring one cheat sheet. Two sides of one A4 paper. Good luck.
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