## MTH 482/582:Applied Partial Differential Equations Winter 2019

Professor: Dr. Vrushali Bokil
Office: Kidder 048
Phone: 737-2609
Email: bokilv at math dot oregonstate dot edu
Office Hours: M: 2:00pm-2:50pm and W: 11:00 am-11:50 am, or by Appt.

• Time/Classroom: 9:00 am - 9:50am MWF, BEXL 328

• Course Information
1. MTH 482: 3 credits, Section 001, CRN 31295
2. MTH 582: 3 credits, Section 001, CRN 31247
(This course combines approximately 90-120 hours of instruction, self-study and assignments.)
• Required Textbook [BD]:  Elementary Differential Equations, and Boundary Value Problems : Authors: William E. Boyce and Richard C. DiPrima, 11th edition, 2018.

• Course Description & Content: This course covers different aspects of the theory of partial differential equations (PDEs). We will consider boundary value problems (BVPs) and initial-boundary value problems (I-BVPs) for certain linear PDEs of second order, namely; the heat (parabolic), wave (hyperbolic) and Laplace (elliptic) equations. We will study how PDEs are classified into different categories, some aspects of their derivation and techniques for their solutions. To this end we will study Bessel's and Legendre's equations, Fourier analysis, separation of variables, and transform methods. These topics are covered in Chapters 10 and 11 of the class text [BD].

• Student Learning Outcomes for MTH 482: A successful student in MTH 482 will be able to:
1. Define what a partial differential equation (PDE) is and classify standard second order PDEs such as the Laplace, heat and wave equations.
2. Solve eigenvalue problems for elementary two point boundary value problems (BVPs).
3. Know what a Fourier series is and determine what functions can be represented by a Fourier series. Calculate the Fourier series for a given function and determine where it converges.
4. Apply the method of separation of variables to solve boundary value problems for the Laplace equation and initial boundary value problems for the heat and wave equations.
• Student Learning Outcomes for Math 582: A successful student in MTH 582 will be able to:
1. Define what a partial differential equation (PDE) is and classify standard second order PDEs such as the Laplace, heat and wave equations.
2. Analyze and solve eigenvalue problems for elementary two point boundary value problems (BVPs).
3. Know what a Fourier series is and determine what functions can be represented by a Fourier series. Calculate the Fourier series for a given function and determine where it converges.
4. Analyze and solve simple BVPs associated with the Laplace equation, and simple Initial-BVPs with the heat and wave equations using the technique of separation of variables.

• Prerequisites: MTH 480, 481 or 581. A minimum grade of C- is required in MTH 480, MTH 481 and MTH 581.

• Reading Assignments: Look at the Calendar for sections from [BD] covered during each lecture, postings, due dates for assignments, exam and review dates, and other information.
NOTE: While it may not be stated explicitly each day, students are expected to read each section to be covered before class. Students are responsible for any material missed due to absence.

• Course Grading and Related Policies: The course grade is based on two midterm tests and a final exam.

• Homework
Homework will be assigned in class every week but not collected. The assigned homework problems will form the "test bank" of problems on which Midterm # 1 and Midterm # 2 will be based.

• Percentage Distribution: Total: (100%)

• Midterm # 1 (32%):
A 50 minute exam will be given Friday February 1, 2019 in BEXL 328 from 9:00-9:50 am (during the usual class hour). Exam problems will be based on class lecture notes, problems covered in lectures, and problems chosen directly from the test bank. Midterm # 1 will be based on material covered in class from Jan 7 through Jan 30. Books, notes, or graphing/programmable calculators will NOT be allowed on exams. You will be allowed the following
1. A simple (non-programmable, non-graphing) scientific calculator.
2. pen or pencil.

• Midterm # 2 (32%):
A 50 minute exam will be given Friday March 1, 2019 in BEXL 328 from 9:00-9:50 am (during the usual class hour). Exam problems will be based on class lecture notes, problems covered in lectures, and problems chosen directly from the test bank. Midterm # 2 will be based on material covered in class from Feb 4 through Feb 27. Books, notes, or graphing/programmable calculators will NOT be allowed on exams. You will be allowed the following
1. A simple (non-programmable, non-graphing) scientific calculator.
2. pen or pencil.

• Final (36%):
A comprehensive final exam will be given on Wednesday March 20, 2019 at 6:00 pm in BEXL 328 . Exam problems will be based on class lecture notes, and problems similar to those from the test bank. Books, notes, or graphing/programmable calculators will NOT be allowed on exams. You will be allowed the following
1. One 3x5 index card, both sides.
2. A simple (non-programmable, non-graphing) scientific calculator.
3. pen or pencil.

• Grade Scale (by percentage):Final grades for this class will be given based on the scale below. Each letter grade below corresponds to grades scored between the lower limit (including) and less than the upper limit (excluding).  A 90 - 100% A- 87 - 90% B+ 84 - 87% B 80 - 84% B- 77 - 80% C+ 74 - 77% C 70 - 74% C- 67 - 70% D+ 64 - 67% D 60 - 64% D- 57 - 60% F below 57%

• Makeup policy:
• Midterm #1 and # 2: There will be no makeup given for either of the midterms. The Final exam will serve as makeup for one midterm.
• Makeup Policy for Final Exam: There will be no makeup exams given without prior request, approval and arrangement with Dr. Bokil. Scheduling conflicts with the final exam must be resolved in advance with Dr. Bokil. Please see the university guidelines Student Petitions (AR 16: Finals Week) to Change the Time of a Final Examination.

• Getting Help: Short questions can be asked during class. Longer questions should be asked during regular office hours. Appointments can also be made at other times, and you can reach me by email. Help for prerequisite material (MTH 256, MTH 341) is available at the Mathematics & Statistics Learning Center (MSLC) which provides drop-in help for all lower division mathematics courses. The MLC is located on the ground floor of Kidder Hall (Kidder 108), and is normally open M-F from 9 AM to 4 PM, from the second week of term through Dead Week (Week 10). Additional resources for prerequisite material can be found at the Get Help in Your OSU Math Classes site.

• Contacting Dr. Bokil: The best way to contact me is via email. Best place/time to see me for questions is in my office during office hours. If you are unable to make it to office hours you may email your questions to me or setup an appointment by email. You can expect a response within 24 hours. Do not expect an immediate response .

• Student Ethical Conduct Expectations and Policies: Students are expected to be familiar with Oregon State University’s Statement of Expectations for Student Conduct. Please review this statement as well as review and consult material at the following sites.

• Technology Policy & Unauthorized recording and use Policy: I expect that each student will be present and engaged during class time. Please refrain from using cell phones or other electronic devices in the classroom out of respect for your classmates and your instructor. If you choose to take notes or access readings via your computer during class please first request permission from Dr. Bokil. If permission is granted, I expect that you will refrain from surfing the web, reading email, and engaging in other activities not related to the class.

Recording and/or dissemination of instructional content (for example using the camera on your cell phones) is prohibited, unless express permission of the instructor is obtained for an approved accommodation coordinated via Disability Access Services.

• Statement Regarding Students with Disabilities: Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at Disability Access Services. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.