Math 2410Q Spring 2018

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Homework Policy.

There are two forms of  homework: WebAssign due weekly online, and written assignments due weekly in class.
General note: There are no extensions granted, except for extreme circumstances.

WebAssign (weekly):
Late policy:  Must have attempted most of assignment in order to get an extension.
Due dates: The due dates are listed on WebAssign. Approximately, the WebAssign assignment is due the following Tuesday after you learn the respective material.
Access: The WebAssign assignments and their due dates may be accessed via HuskyCT. Note that I do not look at the WebAssign communication system. Please email me or come to me if you have any questions.
Purpose: To give you practice on the material with instant feedback on whether or not you have gotten the problem correct.

Written Assignments (weekly):
Late policy: Written assignments must be handed in to me by the beginning of class. The first late assignment turned in must be turned in by the end of the class period it is due, and you will earn a maximum of 50% on that assignment. Any subsequent late assignments turned in will earn a zero.
Due dates: The due dates are listed with the assignment. Approximately, the written assignments are due the following Thursday after you learn the respective material..
Access: The written assignments are linked as PDFs below.
Purpose: To allow me to give you written feedback. This allows you to practice writing mathematical work in a professional manner, as well as to prevent you from being blindsided when I grade your exams. I intend to make these problems roughly at the level of difficulty of or more difficult than exam problems.
Grading: Each problem will be worth 3 points. A rough guideline is given below.
3pts = At most a very minor mistake, but otherwise correct, and presented in a neat manner
2pts = A minor mistake is present, but the work is mostly correct
1pts = You demonstrate you have an idea of what is needed, but poorly executed the solution
0pts = You didn’t try or have no idea what was needed or presented messy work.
Guidelines:

• Turned in work must be written neatly. A solution presented in a messy manner earns a zero.
• The goal is to communicate mathematical ideas in a professional setting. Your work should reflect this.
• One problem per page is preferred (if handwritten), but it is up to you. Engineering paper is okay.
• If you wish to type your homework, I prefer that you use LaTeX or Lyx. LaTeX is something commonly used in the professional world for typesetting.
• If I suspect cheating (e.g., copying work from someone else), you earn a zero on that assignment.

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Course Schedule.

The schedule below is tentative. You are responsible for all of the readings and written assignments listed. Moreover, if there is time, there will be additional material covered. Hence, the schedule may be updated regularly, and the material listed for each exam may be subject to change. Written assignments are subject to change.

Week 1:
Written Assignment: Assignment 1
Solutions: Assignment 1 Solutions
Reading: 1.1, 1.2

Week 2:
Written Assignment: Assignment 2
Solutions: Assignment 2 Solutions
Reading: 1.3, 2.2

Week 3:
Written Assignment: Assignment 3 (edit: Problem 2 will be worth extra credit)
Solutions:Assignment 3 Solutions
Reading: 2.1, 2.3

Week 4:
Written Assignment: None.
Reading: 2.5, 2.6

Week 5:
Tuesday: Review/Brief introduction to basic linear algebra
Thursday: in class Exam 1 (1.1,2,3, 2.1,2,3,5,6)
Exam Prep: Practice Exam 1
Exam Prep Solutions: Practice Exam 1 Solutions
Exam 1 Key: Exam1 Key
Reading: Appendices B.1, B.2

Week 6:
Written Assignment: Assignment 4
Remark: You won’t need to find inverses for the exam.
Reading: Appendix B.1,2,3

Week 7:
Reading: Appendix B.1,2,3

Week 8:
Written Assignment: Assignment 5
Solutions: Assignment 5 Solutions
Reading: 8.1, 8.2

Week 9:  Spring Break

Week 10:
Reading: 8.2

Week 11:
Exam 2 (Thursday, 03/29/18)
Exam 2 Guide: Exam 2 guide
Exam 2 Suggested Problems:
8.1: 3,5,7,9,11-16,17,19,21,25
8.2: 3,5,7,9,11,13,14,21,23,31,32,35,36,37,38,39
For any 2×2 matrix in the problems above, classify the equilibrium point, and sketch a phase portrait.
Exam 2 Key: Exam 2 Key (ignore my work at the end of the key…)

Week 12:
Reading: 4.1, 4.3

Week 13:
Written Assignment: Assignment 6 If no solution exists, say so. (Recall, for BVP, sometimes a solution may not exist.)
Solutions: Assignment 6 Solutions
Reading: 4.4, 4.6

Week 14:
Written Assignment: Assignment 7 (The proof I have outlined is the one I came up with. However, there is a much easier proof in the book. If you can find the proof in the book, feel free to use that one instead. Make sure you communicate the proof in such a way that demonstrates you understand it.)
Solutions: Assignment 7 Solutions
Reading: 7.1, 7.2, 7.3

Week 15:
Reading 7.4, 7.5

Final Week:
Final Exam: See student admin for time and location.
Final Exam suggested problems:
For Exam 1 & 2 material, cf. their respective review guides.
4.1: Use your best judgment (e.g., compare to WebAssign).
4.3: 1-40, 49-58 for compuation
4.4: 1-40 for computation
4.6: 1-32 for computation
7.1: 1-40, 55-58 for computation; 47-54 for conceptual
7.2: 1-48 for computation; 50,52 for conceptual
7.3: 1-30, 37-70 for computation; 82, 83 for conceptual
7.4: 1-8, 19-38, 41, 43, 49, 50, 53-58, for computation
7.5: 1-12 for computation

Pseudo-assignment for 7.4, 7.5:
Problems 7.4.7, 10, 11, 25, 49, 57; 7.5.3, solve y’+y=cos(t)d(t-π), y(0)=0, where d=Dirac delta function.

The attached cheat sheet will include only the Laplace transform table Theorem 7.1.1, and a partial fraction identity.

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Lecture Notes.

Note: There will be typos, and these documents may be updated throughout the semester. I may also stray a little from how the material is presented in the lecture notes. Additional examples and hints may be sometimes be found in these notes. Corrections are welcomed.

1.1 Lecture Notes

1.2 Lecture Notes (Small typo: in second to last example, I’ve made the correction y=/=0 -> y>0.

1.3 Lecture Notes

2.1 Lecture Notes

2.2 Lecture Notes

2.3 Lecture Notes

2.5 Lecture Notes

2.6 Lecture Notes

Linear Algebra Lecture Notes (Note that these notes will be edited and more material will be added)
Typo: for the matrix [[a,b],[c,d]], the determinant is ad-cb, not ad-cd.

8.1 Lecture Notes

8.2 Lecture Notes (Note that the phase portrait section is a bit out of order)

Chapter 4 Lecture Notes

Chapter 7 Lecture Notes

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Exams.

Late Policy: There will (generally) be no make-up exams granted. If you have to miss an exam for a legitimate reason, other exams may be weighted differently. Other options may be discussed if necessary.
Grading: Each problem will be worth 5 pts. A rough guideline is listed below.
5pts = At most a very minor mistake, but otherwise correct and presented in a neat manner.
4pts = A minor mistake is present, but the work is correct
3pts = A couple of mistakes, but the work is mostly correct
2pts = A lot of mistakes, but maybe you have started/ended the problem correctly
1pts = Something relevant is written, and you maybe demonstrate some understanding
0pts = No correct/relevant work whatsoever, the solution is really messy.
Challenging a Grade on Exams 1 & 2: From the time your exam is returned, you have 48 hours to challenge your grade. After 48 hours, your exam grade will not be subject to change.
Challenging a Grade on the Final: You must schedule a time to meet with me and talk to me about your exam. We can do any re-gradings necessary on the spot.
Final Exam: The final exam is cumulative. It will approximately be 5/8 on material presented after Exam 2, and 3/8 on Exam 1 & 2 material. That is, expect 1.25 hours to be on new material, and .75 hours on old.
Calculators: This will be decided on when the first exam is written.

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Grades.

Breakdown:
15%: WebAssign Assignments
15%: Written Assignments
20%: Exam 1
20%: Exam 2
30%: Final Exam

You can compute your grade via the breakdown above. Grades are not posted until after the semester. If you need to see your grade, you can request it from me.

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Remaining Syllabus.

Course description, prerequisites, QCenter information, Integrity, and Student Support Services may be found here.