Home Page of MA303,

DIFFERENTIAL EQUATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Instructor: Jaroslaw Wlodarczyk


Office: MATH 604
Office Hours: by appointment and online

Course website: www.math.purdue.edu/~wlodarcz/303/303.html

The department course web:

http://www.math.purdue.edu/ma30300


Purdue brighspace web:

https://purdue.brightspace.com
If you have any Questions regarding grading  your hwks please contact

Grader: 


Phone: 496-7414

 Message: 
E-mail: wlodarcz@purdue.edu


Text Book:

Textbook: Edwards, Penney, and Calvis, Differential Equations and Boundary Value Problems: Computing and Modeling, Tech Update, 5th Edition.




Course Description: This is a second-semester course in differential equations. The main topics covered are linear and nonlinear systems of differential equations, Laplace transform, and an introduction to Fourier series and partial differential equations.

Learning Outcomes: In this course, we will cover most of Sections 5, 6, 7, 9 and the beginning of Section 10.
You well learn to:

  1. Classify homogeneous first order linear systems of differential equations by their phase portraits and solve them by using the eigenvalue method.
  2. Analyze the behavior of nonlinear systems near critical points by their stability and type and apply this knowledge to study some ecological models and mechanical systems.
  3. Use the method of Laplace transform to solve linear differential equations. 
  4. Use the Fourier series and the method of separation of variables to solve partial differential equations.
  5. Use the eigenfunction expansion method to solve Sturm-Liouville problems.





Instructor's Email Availability and Policies
I will be available via email wlodarcz@purdue.edu
daily, and try to respond as soon as possible generally within a few  hours.

The important announcements will be made through brightspace.

Virtual Office Hours are a synchronous sessions to discuss questions related to weekly readings and/or assignments.

Open office hours will be held via   Zoom on  Tuesday and Thursday 3.10-4pm



In person office hours will be held per request and by appointments only.

Virtual office:
Location: Zoom

Meeting id in my zoom account
323 824 0489
Password is required. You will find the password and  zoom link in your purdue brightspace  account for Ma 511. You may also enter the id and password directly in your zoom account.




HOMEWORKS- The primary way to submit homework will be through Pearson MyLab Math. Online homework is normally due every Friday 11:59pm. See MyLabMath for the guide of how to submit online homework. Typically  homeworks from two sections a week will be assigned.

Lectures

  5.1: Matrices and Linear Systems

5.2: Eigenvalue Method

 5.5: Multiple Eigenvalue Solutions

5.3: Solution Curves

 6.1: Stability and Phase Plane

6.2: Linear and Almost Linear Systems

  6.3: Ecological Models

6.4: Nonlinear Mechanical Systems

 7.1: Laplace Transform

7.2: Transform of Initial Value Problems

Review and Midterm I

7.3: Translation and Partial Fractions

7.4: Derivatives, Integrals and Products

  7.5: Periodic and Piecewise Continuous

7.6: Impulses and Delta Functions

9.1: Periodic Functions and Trigonometric Series

9.2: General Fourier Series

9.3: Fourier Sine and Cosine Series

9.4: Applications of Fourier Series

Review for Midterm II

9.5: Heat Conduction and Separation of Variables

9.6: Vibrating Strings and Wave Equation

9.7: Laplace's Equation

10.1: Sturm-Liouville Problems



Review for Final Exam


 Late homeworks will not be accepted. The assignment mostly goes with the assignment sheet but there might be few changes which will be announced in class if there is any. The TWO homeworks with the lowest score will be dropped. You are encouraged to contact  instructor if you have any questions about homeworks.  



Exams

There will be two  midterm exams during the semester and a final (comprehensive) exam at the end of the semester.
The exams are planned to be  be given in the class and will take approx. 1hr + . (time and location will be announced later).
 Books, notes, and calculators are not allowed in exams.

Note that  due to  possible covid restrictions or other circumstances  some exams may be given online through gradescope.

 
The exams  may include partial credit problems.


Midterm1   Midterm2   Final



Grading Policy:

The course grade will be based on the following:
Two midterm exams:   2 times 100 pts=200 pts
Final exam: 200 pts
Homeworks: 200 pts
Total 600 pts

Assigning grades. 
NOTE:
Per
University Senate regulation
:
¡°Between the beginning of the 5
th
and the end of the 7
th
week, all students
enrolled in 10000-29999 level and those approved for foundational courses shall be provided graded feedback by their
faculty. These grades will not become part of the permanent record.¡±
Example 1
: Overall achievement throughout the semester
In this class grades reflect the sum of your achievement throughout the semester. You will accumulate points as
described in the assignments portion above, with each assignment graded according to a rubric. At the end of the
semester, final grades will be calculated by adding the total points earned and translating those numbers (out of 200)
into the following letters (there will be no partial points or rounding).
NOTE:
If you use a percentage-based system be
clear about rounding and decimals. If you say that an A- reflects 90-93% and an A represents 94-96% your syllabus should
make clear what 93.3% means.
A+: 193 - 200
A: 188 - 192
A-: 180 - 187
B+: 173 - 179
B: 168 - 172
B-: 160 - 167
C+: 153 - 159
C: 147 - 152
C-: 140 - 146
D+: 133- 139
D: 127 - 132
D-: 120 - 126
F: 119 or below
Example 2
: Set curve allotting specific quantities of grades through comparison
This class is graded according to a set curve. Final grades will be distributed through a comparison among students
based on the assignments outlined above. After each assignment, mean and median scores will be shared as well as
standard deviations to help you track your standing relative to your peers so that you can gauge your overall standing in
the course. I will provide specific information with regard to your precise standing in the class in weeks 4, 8, and 12.
According to the points outlined above, the following grades will be distributed:
A: Top 15%
B: Next 20%
C: Middle 30%
D: Next 20%
F: Lowest 15%

NOTE:
Per
University Senate regulation
:
¡°Between the beginning of the 5
th
and the end of the 7
th
week, all students
enrolled in 10000-29999 level and those approved for foundational courses shall be provided graded feedback by their
faculty. These grades will not become part of the permanent record.¡±
Example 1
: Overall achievement throughout the semester
In this class grades reflect the sum of your achievement throughout the semester. You will accumulate points as
described in the assignments portion above, with each assignment graded according to a rubric. At the end of the
semester, final grades will be calculated by adding the total points earned and translating those numbers (out of 200)
into the following letters (there will be no partial points or rounding).
NOTE:
If you use a percentage-based system be
clear about rounding and decimals. If you say that an A- reflects 90-93% and an A represents 94-96% your syllabus should
make clear what 93.3% means.
A+: 193 - 200
A: 188 - 192
A-: 180 - 187
B+: 173 - 179
B: 168 - 172
B-: 160 - 167
C+: 153 - 159
C: 147 - 152
C-: 140 - 146
D+: 133- 139
D: 127 - 132
D-: 120 - 126
F: 119 or below
Example 2
: Set curve allotting specific quantities of grades through comparison
This class is graded according to a set curve. Final grades will be distributed through a comparison among students
based on the assignments outlined above. After each assignment, mean and median scores will be shared as well as
standard deviations to help you track your standing relative to your peers so that you can gauge your overall standing in
the course. I will provide specific information with regard to your precise standing in the class in weeks 4, 8, and 12.
According to the points outlined above, the following grades will be distributed:
A: Top 15%
B: Next 20%
C: Middle 30%
D: Next 20%
F: Lowest 15%
Final grades will be distributed through a comparison among students
based on the TOTAL points received.

A.Top 20 %+
B. Next 20-30%
C Middle 20-30%
D 10% or less
F 10% or less




Below is our official Math department min. grades cut off. (Those percents guarantee to give certain grades)

 Students who get at least 97% of the total points in this course are guaranteed an A+,
93% guarantees an A, 90% an A-, 87% a B+, 83% a B,80% a B-, 77% a C+, 73% a C, 70% a C-, 
67% a D+, 63% a D, and 60% a D-; for each of these grades, it's possible that at the end of the semester
a somewhat lower percentage will be enough to get that grade


Information for students with disabilities.

 Purdue University strives to make learning experiences accessible to all

     participants. If you anticipate or experience physical or academic barriers

     based on disability, you are encouraged to contact the Disability Resource

     Center at: drc@purdue.edu or by phone: 765-494-1247.


     In this mathematics course accommodations are managed between the

     instructor, the student and DRC Testing Center.


     If you have been certified by the Disability Resource Center (DRC) as

     eligible for accommodations, you should contact your instructor to discuss

     your accommodations as soon as possible. Here are instructions for sending 

     your Course Accessibility Letter to your instructor:

     https://www.purdue.edu/drc/students/course-accessibility-letter.php


Important dates:

10 7:30 a.m.
SPRING SEMESTER CLASSES BEGIN		 Mon
17 MARTIN LUTHER KING JR. DAY (No Classes) Mon
18 5 p.m.
Last Day To Register Without a Late Fee		 Tues
24 Last Day to Cancel a Course Assignment Without It Appearing On Record Mon

February

7 5 p.m.
Last Day To Withdraw a Course With a Grade of W or To Add/Modify a Course With Instructor and Advisor Signature		 Mon
21 5 p.m.
Last Day For Grade Correction For Fall Semester 2021		 Mon

March

7 7:30 a.m.
Second Eight-Week Courses Begin		 Mon
11 5 p.m.
Last Day To Withdraw From a Course With a W or WF Grade		 Fri
11 5 p.m.
Last Day To Add/Modify a Course With Instructor, Advisor, and Department Head Signatures		 Fri
14 Schedule of Classes Published for Fall 2022 Mon
14-19 SPRING VACATION Mon-Sat

April

30 12:20 p.m.
CLASSES END		 Sat

May

2-7 FINAL EXAMS  Mon-Sat
7 SEMESTER ENDS













For more information go to
https://www.purdue.edu/registrar/calendars/2020-21-Academic-Calendar.html


General info on Purdue policy:

Issues with COVID-19
If you become quarantined or isolated at any point in time during the semester, in addition to support from the Protect Purdue Health Center, you will also have access to an Academic Case Manager who can provide you academic support during this time. Your Academic Case Manager can be reached at acmq@purdue.edu and will provide you with general guidelines/resources around communicating with your instructors, be available for academic support, and offer suggestions for how to be successful when learning remotely. Importantly, if you find yourself too sick to progress in the course, notify your academic case manager and notify me via email or Brightspace. We will make arrangements based on your particular situation. The Office of the Dean of Students (odos@purdue.edu) is also available to support you should this situation occur.

Students should stay home and contact the Protect Purdue Health Center (496-INFO) if they feel ill, have any symptoms associated with COVID-19, or suspect they have been exposed to the virus. In the current context of COVID-19, in-person attendance will not be a factor in the final grades, but the student still needs to inform the instructor of any conflict that can be anticipated and will affect the submission of an assignment or the ability to take an exam. Only the instructor can excuse a student from a course requirement or responsibility. When conflicts can be anticipated, such as for many University-sponsored activities and religious observations, the student should inform the instructor of the situation as far in advance as possible. For unanticipated or emergency conflict, when advance notification to an instructor is not possible, the student should contact the instructor as soon as possible by email, through Brightspace, or by phone. When the student is unable to make direct contact with the instructor and is unable to leave word with the instructors department because of circumstances beyond the student's control, and in cases of bereavement, quarantine, or isolation, the student or the student's representative should contact the Office of the Dean of Students via email or phone at 765-494-1747. Our course Brightspace includes a link on Attendance and Grief Absence policies under the University Policies menu.

Classroom Guidance Regarding Protect Purdue
 The Protect Purdue Plan, which includes the Protect Purdue Pledge, is campus policy and as such all members of the Purdue community must comply with the required health and safety guidelines. Required behaviors in this class include: staying home and contacting the Protect Purdue Health Center (496-INFO) if you feel ill or know you have been exposed to the virus, wearing a mask in classrooms and campus building, at all times (e.g., no eating/drinking in the classroom), disinfecting desk/workspace prior to and after use, maintaining proper social distancing with peers and instructors (including when entering/exiting classrooms), refraining from moving furniture, avoiding shared use of personal items, maintaining robust hygiene (e.g., handwashing, disposal of tissues) prior to, during and after class, and following all safety directions from the instructor.

Students who are not engaging in these behaviors (e.g., wearing a mask) will be offered the opportunity to comply. If non-compliance continues, possible results include instructors asking the student to leave class and instructors dismissing the whole class. Students who do not comply with the required health behaviors are violating the University Code of Conduct and will be reported to the Dean of Students Office with sanctions ranging from educational requirements to dismissal from the university.

Any student who has substantial reason to believe that another person in a campus room (e.g., classroom) is threatening the safety of others by not complying (e.g., not wearing a mask) may leave the room without consequence. The student is encouraged to report the behavior to and discuss next steps with their instructor. Students also have the option of reporting the behavior to the Office of the Student Rights and Responsibilities. See also Purdue University Bill of Student Rights.

Academic Integrity
Academic integrity is one of the highest values that Purdue University holds. Individuals are encouraged to alert university officials to potential breaches of this value by either emailing integrity@purdue.edu or by calling 765-494-8778. While information may be submitted anonymously, the more information is submitted the greater the opportunity for the university to investigate the concern. More details are available on our course Brightspace table of contents, under University Policies



Incompletes
A grade of incomplete (I) will be given only in unusual circumstances. To receive an ¡°I¡± grade, a written request must be submitted prior to December 1, and approved by the instructor. The request must describe the circumstances, along with a proposed timeline for completing the course work. Submitting a request does not ensure that an incomplete grade will be granted. If granted, you will be required to fill out and sign an ¡°Incomplete Contract¡± form that will be turned in with the course grades. Any request

Attendance Policy

Students are expected to be present for every meeting of the classes in which they are enrolled.  When conflicts or absences can be anticipated, such as for many University sponsored activities and religious observations, the student should inform the instructor of the situation as far in advance as possible. For unanticipated or emergency absences when advance notification to an instructor is not possible, the student should contact the instructor as soon as possible by email or phone. When the student is unable to make direct contact with the instructor and is unable to leave word with the instructor¡¯s department because of circumstances beyond the student¡¯s control, and in cases of bereavement, the student or the student¡¯s representative should contact the Office of the Dean of Students via email or phone at 765-494-1747.


Please note that PUSH does not provide students with ¡°excuse¡± notes.  Unless the student is acutely ill, there is nothing for PUSH to verify.  Instead, encourage students to communicate with you as soon as possible, in the event of an illness, so that you can work together for a positive solution to their absence.  In situations where a student is hospitalized or may need to go home for medical care, the Dean of Students will notify the student¡¯s instructors.

Emergency Preparation

In the event of a major campus emergency, course requirements, deadlines and grading percentages are subject to changes that may be necessitated by a revised semester calendar or other circumstances beyond the instructor¡¯s control. Relevant changes to this course will be posted onto the course website or can be obtained by contacting the instructors or TAs via email or phone. You are expected to read wlodarcz@purdue.edu email on a frequent basis.

Guidelines regarding ensuring access to emergency information:
Keep your cell phone on to receive a Purdue ALERT text message.
Log into a Purdue computer connected to the network to receive any Desktop Popup Alerts.
If you have a ¡°no cell phone¡± in class policy allow one or two students who have signed up for Purdue ALERT to keep their phones on to receive any alerts

Mental Health Statement
If you find yourself beginning to feel some stress, anxiety and/or feeling slightly overwhelmed, try WellTrack. Sign in and find information and tools at your fingertips, available to you at any time.
If you need support and information about options and resources, please see the Office of the Dean of Students for drop-in hours (M-F, 8 am- 5 pm).
If you¡¯re struggling and need mental health services: Purdue University is committed to advancing the mental health and well-being of its students. If you or someone you know is feeling overwhelmed, depressed, and/or in need of mental health support, services are available. For help, such individuals should contact Counseling and Psychological Services (CAPS) at 765-494-6995 during and after hours, on weekends and holidays, or by going to the CAPS office of the second floor of the Purdue University Student Health Center (PUSH) during business hours.

Netiquette
Your instructor and fellow students wish to foster a safe online learning environment. All opinions and experiences, no matter how different or controversial they may be perceived, must be respected in the tolerant spirit of academic discourse. You are encouraged to comment, question, or critique an idea, but you are not to attack an individual. Our differences, some of which are outlined in the University's nondiscrimination statement below, will add richness to this learning experience. Please consider that sarcasm and humor can be misconstrued in online interactions and generate unintended disruptions. Working as a community of learners, we can build a polite and respectful course ambience. Please read the Netiquette rules for this course:
Do not dominate any discussion. Give other students the opportunity to join in the discussion.
Do not use offensive language. Present ideas appropriately.
Be cautious in using Internet language. For example, do not capitalize all letters since this suggests shouting.
Avoid using vernacular and/or slang language. This could possibly lead to misinterpretation.
Keep an ¡°open-mind¡± and be willing to express even your minority opinion.
Think and edit before you push the ¡°Send¡± button.
Do not hesitate to ask for feedback.

Violent Behavior Policy

Purdue University is committed to providing a safe and secure campus environment for members of the university community. Purdue strives to create an educational environment for students and a work environment for employees that promote educational and career goals. Violent Behavior impedes such goals. Therefore, Violent Behavior is prohibited in or on any University Facility or while participating in any university activity.

See the University¡¯s full violent behavior policy for more detail.

Nondiscrimination Statement

Purdue University is committed to maintaining a community which recognizes and values the inherent worth and dignity of every person; fosters tolerance, sensitivity, understanding, and mutual respect among its members; and encourages each individual to strive to reach his or her own potential.  In pursuit of its goal of academic excellence, the University seeks to develop and nurture diversity.  The University believes that diversity among its many members strengthens the institution, stimulates creativity, promotes the exchange of ideas, and enriches campus life.  Link to Purdue¡¯s nondiscrimination policy statement.



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