1. Contact Information
  2. Prerequisites
  3. Course Description and Credit Hours
  4. Required Texts
  5. Course Objectives
  6. Student Learning Outcomes
  7. Other Course Materials
  8. Outline Of Topics
  9. Exams and Assignments
  10. Grading Policy
  11. Policy on Missed Exams and Coursework
  12. Attendance Policy
  13. Notification of Changes
  14. Custom Sections
  15. Statements on Academic Misconduct
  16. Statement On Disability Accommodations
  17. Severe Weather Protocol
  18. Pregnant Student Accommodations
  19. Religious Observances
  20. UAct Statement

Appl Diff Equations II

MATH 343-001Fall 2021 | 3 Credit Hours


Shibin Dai

Contact Information

UA Campus Directory:


UA Course Catalog Prerequisites:

C- or higher in MATH 238

Good knowledge of calculus and linear algebra (Math 237) is implicitly assumed. Students must know or review the following topics: integration, power series, eigenvalues and eigenvectors. A brief review of eigenvalues and eigenvectors will be given in class.

Course Description

Course Description and Credit Hours

Continuation of Appl Diff Equations I (Math 238) and is designed to equip students with further methods of solving differential equations. Topics include initial value problems with variable coefficients, methods of infinite series, two-point boundary value problems, wave and heat equations, Fourier series, Sturm-Liouville theory, phase plane analysis, and Liapunov's second method.

Be aware that Math 343 is an order of magnitude more difficult than Math 238.

Required Texts

Required Texts from UA Supply Store:

Student Learning Outcomes

1. Students will learn methods for solving linear ordinary differential equations with variable coefficients

2. Students will learn the use of the phase plane to analyze systems of non linear ordinary differential equations

3. Students will be introduced to the concept of stability of solutions

4. Students will learn methods for solving two-point linear boundary value problems

5. Students will be introduced to Fourier series and their applications in the physical sciences

Other Course Materials


Outline of Topics

Chapter 8: Series solutions of differential equations, Sections 8.1–8.7

Chapter 10: Fourier series and separation of variables for partial differential equations, Sections 10.1-10.7

Chapter 11: Eigenvalue Problems and Sturm Liouville theory, Section 11.1-11.5

Chapter 12: The phase plane and stability of autonomous systems, Section 5.4 & 12.1-12.5

Exams and Assignments

Homework assignments will be through MyMathLab.

There will be two midterm exams and a comprehensive final exam. The date and time to be announced later.

Grading Policy

Homework Assignments:       25%;

Two Midterm Exams:                25% each for a total of 50%;

Comprehensive Final Exam:  25%.

Policy on Missed Exams and Coursework

There will be no extensions of the deadline for homework, unless there are documented legitimated reasons.

A makeup exam may be given in the following cases subject to verification: a serious illness or medical emergency, a University-sponsored event, a religious event, a family emergency, or recalled to active military duty. A makeup exam should be scheduled at least one week in advance, unless it is due to emergency situations. You must email the documentation either before the exam or as soon as you return to class.

Attendance Policy

Class attendance is required, but attendance will not be recorded or counted toward the final grade. Class participation is strongly encouraged. Students are solely responsible for any work missed during an absence. In order not to interrupt the class, no student is allowed for early departure, unless you get my permission in advance.

Please be aware that the UA Student Code of Conduct prohibits students from "Disruption or obstruction of teaching, research, administration, disciplinary proceedings, or other University activities, including its public-service functions, whether on or off-campus, and other authorized non-University activities that occur on University premises.” Disruptive or obstructive behavior in any class meeting, in-person or online, may be referred to the Office of Student Conduct for disciplinary action. In addition, please understand that without prior approval from the instructor, students may not record course content and/or post course content publicly, including on social media sites. Students who record and/or post course content without instructor approval may be referred to the Office of Student Conduct for disciplinary action.

Notification of Changes

The instructor will make every effort to follow the guidelines of this syllabus as listed; however, the instructor reserves the right to amend this document as the need arises. In such instances, the instructor will notify students in class and/or via email and will endeavor to provide reasonable time for students to adjust to any changes.

Department of Mathematics Academic Misconduct Policy

  1. During tests you may only use a calculator that has been specifically approved by the instructor.  Using or being in possession of an unauthorized calculator will be considered academic misconduct. 
  2. Taking a test for another student will be treated as academic misconduct by both parties.  In particular, showing an instructor a fake ID or another student’s ACT card will be treated as academic misconduct.
  3. Receiving or providing assistance of any kind during an exam will be treated as academic misconduct by both parties.
  4. Cellphones must be turned completely off and placed with other belongings on the floor.  All watches must be taken off and put away.  DO NOT put your phone or watch in your lap or on your chair or desk.  Physically holding or concealing on your person a phone, watch or other unauthorized technological device (including but not limited to headsets, earphones, earbuds, microphones, cameras, or scanning pens) will be treated as academic misconduct.
  5. If you are seen using an unauthorized device, the instructor may request that you turn it over.  It will be returned at the end of the exam.  However, the instructor does not have to request your device in order to charge you with academic misconduct.
  6. If for any reason you must have access to your phone while taking a test, you must inform an instructor prior to accessing your phone.  The instructor must be present while you use the phone.  Failure to do so will be treated as academic misconduct.
  7. If necessary, scratch paper will be provided.  No other paper is allowed; being in possession of any unauthorized papers will be treated as academic misconduct.
  8. You may review your test before leaving the exam.  You may not photograph your exam or write down or copy any information pertaining to the test, nor may you share any information about the test with anyone by any means.  This includes sharing information by word of mouth, written correspondence, electronic device or any type of social media.  Providing information about the test to other students will be treated as academic misconduct.  Also, having in your possession information about any test prior to the test that was not given to you by the instructor will be treated as academic misconduct. 
  9. You may not leave your place during a test for any reason.  This includes getting water or going to the restroom.  You must take care of these things before the start of the test.  If you leave your test without permission, your test will be collected and you will not be allowed to continue working on it.
  10. Interrupting the exam or creating a disturbance to cause a distraction during the exam will be treated as academic misconduct. 
  11. In order to enforce these rules, an instructor may require you to do any of the following.  Failure to comply will be treated as academic misconduct.
    1. Remove hats, hoods, scarves, or other head coverings.
    2. Remove bulky coats, sweaters or other over-garments.
    3. Roll up sleeves.
    4. Remove anything seen in your ears or on your person.
    5. Empty your pockets and display the contents.
    6. Sit in assigned seats prior to the start of the exam.
    7. Require you to move to a new seat during the exam.

If you wear a hat, head covering or long-sleeved garment for religious reasons, the instructor may still request to examine under them.  If you would prefer to have this done privately, or by an instructor or staff member of the same sex, you will be accommodated.  To ensure accommodation, you must discuss this with your instructor prior to the test.

If you use a hearing aid or other adaptive technology that could be mistaken for an earbud or other unauthorized electronic device, please notify your instructor prior to the test.  You may be asked to provide documentation of your need to use such a device.

MTLC Specific Policies

  1. In the MTLC, you may only use either the Casio fx-SOLAR SCHOOL or the Casio fx-260 SOLAR II.
  2. In the MTLC, swiping another student’s ACT card will be treated as academic misconduct. 
  3. In the MTLC having any other website other than the test open during a test will be treated as academic misconduct.
  4. In the MTLC, if you leave your computer during a test without permission, your exam will be closed and you will forfeit any remaining exam time.

Statement on Academic Misconduct

Students are expected to be familiar with and adhere to the official Academic Misconduct Policy provided in the Online Catalog.

Statement On Disability Accommodations

Contact the Office of Disability Services (ODS) as detailed in the Online Catalog.

Severe Weather Protocol

Please see the latest Severe Weather Guidelines in the Online Catalog.

Pregnant Student Accommodations

Title IX protects against discrimination related to pregnancy or parental status. If you are pregnant and will need accommodations for this class, please review the University’s FAQs on the UAct website.

Religious Observances

Under the Guidelines for Religious Holiday Observances, students should notify the instructor in writing or via email during the first two weeks of the semester of their intention to be absent from class for religious observance. The instructor will work to provide reasonable opportunity to complete academic responsibilities as long as that does not interfere with the academic integrity of the course. See full guidelines at Religious Holiday Observances Guidelines.

UAct Statement

The University of Alabama is committed to an ethical, inclusive community defined by respect and civility.  The UAct website (www.ua.edu/uact)  provides extensive information on how to report or obtain assistance with a variety of issues, including issues related to dating violence, domestic violence, stalking, sexual assault, sexual violence or other Title IX violations, illegal discrimination, harassment, hate or bias incidents, child abuse or neglect, hazing, threat assessment, retaliation, and ethical violations or fraud.

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All University faculty, staff, and students are expected to maintain a commitment to the health and safety of our campus community. Due to the current COVID-19 pandemic, specific health and safety standards are in place to minimize exposure and community spread on campus. In the interest of your health and safety and that of all UA students, faculty and staff, the University reserves the right to change the mode of instruction or schedule of instruction at any time, based upon prevailing public health and other guidance. While the method of delivery may change, educational instruction and opportunities will continue. As such, the University will not provide a refund of tuition, in whole or in-part, based on any such changes. Detailed information on changes in format or schedule can be found at studentaccounts.ua.edu and financialaid.ua.edu.

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Getting vaccinated is the best way to protect yourself and our herd. COVID-19 vaccines are being administered by the University Medical Center, the Student Health Center and various businesses and healthcare providers. Students who report proof of their vaccination status will receive Bama Cash as a thank you gift for doing their part.

Wellness Resources

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If you or someone you know is facing a challenging time or dealing with academic or personal stress, anxiety, depression, or other concerns, we strongly encourage and support you to seek assistance or to help friends find the care that they may need.

Also, If you are experiencing a personal crisis and need urgent assistance, you can also contact the following resources:

Counseling Center

  • Monday-Friday during routine Center hours (205-348-3863).
  • Weekends, holidays, after-hours (contact UAPD at 205-348-5454 and ask to speak with the on-call counselor).
  • You may also text BAMA to 741-741 to text with a trained volunteer.

Women and Gender Resource Center

  • Monday-Friday during routine Center hours (205-348-5040).
  • Weekends, holidays, after-hours (contact UAPD at 205-348-5454 and ask to speak to the on-call advocate for the WGRC.