Math 225 is an in-person course, with all of the benefits of that mode of delivery. Lecture time will be used for learning new content, doing exercises, and for Q&A with the instructor and peers. Lectures will be streamed, so that any students who are feeling unwell can still join the course virtually. I will handle questions from the chat as I am able, but my first priority will be for the in-person students. Lectures will not be recorded.

• Your Instructor

  • Dr. Rebecca Tyson
  • rebecca.tyson@ubc.ca
  • http://cmps-people.ok.ubc.ca/rtyson
  • 807-8766, rm SCI 386

  Here is a little autobiography I wrote for a newsletter a few years ago. It will tell you a little about my bizarre career path and how I ended up here at UBCO!

• Office Hours

  My office hours will be announced on the first day of lecture. Outside of these times, you are welcome to make an appointment, or drop by my office and see if I'm available. My calendar tends to be really packed though, so make the most of class time.

• Email Communication

  The best way to communicate with me is in person before or after class or during my office hours. If that is impossible, however, I will respond to brief, politely-worded emails, sent via Canvas mail, within 2 business days, where possible. I will not respond at all to queries that could be answered by reading this course outline. If you have a question requiring a detailed or sustained response, please request an appointment to see me and put "appointment request" in the subject line. If you have special needs or you are struggling at any point in the course, please keep in contact with me so I can offer help and support.

• Course Objectives

  Partial Differential Equations are a lot of fun! In Math 319 you will learn solution techniques for the three basic types of partial differential equations or PDEs. Elliptic equations arise when looking for steady-state spatial patterns such as those observed in a leopard's coat, or when computing the shape that a membrane will take when stretched over a particular boundary (like a drum). Parabolic equations arise whenever diffusion (random motion) is present, and since random motion is about as ubiquitous as sunshine, parabolic equations show up in lots of models! Hyperbolic equations arise whenever wave motion is present, and so are just as important as parabolic equations.

  More specifically, we will cover 1st order PDEs and the method of characteristics, the method of separation of variables, fourier series, fourier cosine and sine series, the heat equation, the wave equation, Laplace's equation, eigenvalues and eigenfunctions, regular Sturm-Liouville boundary value problems, nonhomogeneous boundary value problems and the Fredholm Alternative, solution by eigenfunction expansion, Green's functions and singular Sturm-Liouville boundary value problems.

  In this course, the concepts are as important as the calculations, and the midterms and final exam questions will reflect this. The text has been selected for its clarity, and especially for its attention to motivating the problems we address in the course. You are expected to keep up with the course material daily.

  There is a great deal of basic material to cover in the 13 weeks we have available! Staying current with your reading and homework will be essential to doing well in the course.

• Calculators

  A scientific calculator will be helpful when doing homework assignments. Calculators will not be allowed on tests.

• Assignments

  There will be five assignments (due dates are indicated on the agenda).

• Important Dates

  For all important dates including the last day for withdrawal with or without a "W", the last day for conversion from credit to audit, as well as holidays and the exam period please visit the website for the UBC Okanagan academic calendar.

• Course Grades

  There are two different ways in which your final course mark will be calculated. The best will be used to determine your mark in the course. The two formulas for determining your final mark are as follows:

  Component	Subdivision	Category Value
  		Formula #1	Formula #2
  Assignments	five	20%	5%
  Midterms (Two-Stage)	two, together worth ->	40%	15%
  	individual portion 85% (at most)
  	group portion 15% (at least)
  Final Exam (Individual)	one	40%	80%
  Total		100%	100%

  
  Notes:

  • The mark for each two-stage test is calculated as a weighted sum of the individual and group components as follows: Test Mark = (a)*(in-class mark) + (b)*(take-home mark), where a+b=1, and a is no more than 0.85 and b is no less than 0.15.
  • In order to obtain a passing grade in the course, you must obtain at least 50% on the final exam.

• Midterm Policy

  1. Midterms must be written at the time and place which the professor designates and out-of-time tests will not be permitted. Dates are posted on the agenda.
  2. If you believe that you have a legitimate reason for missing a test, you must contact your professor as soon as the reason arises, and explain the situation. Legitimate reasons include those of a medical or compassionate nature. Written documentation may be required.

• Final Exam

  The final exam will be a comprehensive, three hour, individual test held during the final examination period at the end of the term. See the UBC Okanagan academic calendar for the dates of the exam period. The specific date, time and location of the exam for this course will be announced later in the term. Failure to write the final examination at the scheduled time without a legitimate excuse will result in an automatic failing grade for the course. In order to obtain a passing grade in the course, you must obtain at least 50% on the final exam.

• Grading Practices

  Math 319 uses the standard UBCO marking scheme as described in the UBCO calendar. A 50% is required for a passing mark and a 60% is required to use this course as a prerequisite for further coursework. Faculties, departments, and schools reserve the right to scale grades in order to maintain equity among sections and conformity to University, faculty, department, or school norms. Students should therefore note that an unofficial grade given by an instructor might be changed by the faculty, department, or school. Grades are not official until they appear on the student academic record. For more information, please go to the following web page: http://www.calendar.ubc.ca/okanagan/index.cfm?tree=3,41,90,1014.

• Aboriginal Programs and Services

  The primary goal of the Aboriginal Programs and Services is to provide culturally appropriate services and support to First Nation, Metis and Inuit students. Location: UNC 212 http://students.ok.ubc.ca/aboriginal/welcome.html

• International Program and Services

  International Program and services (IPS) provides advising, transition services and programs for international students, and IPS works to foster an intercultural campus community where differences are embraced and respected and adapting is multidirectional. Location: UNC 227 http://students.ok.ubc.ca/international/welcome.html

• Disability Accommodations

  If you require disability-related accommodations to meet the course objectives, please contact the Diversity Advisor of Disability Resources located in the University Centre, Room 227. For more information about Disability Resources or academic accommodations, please visit the website at: http://www.ubc.ca/okanagan/students/drc/welcome.html.

• Academic Integrity

  The academic enterprise is founded on honesty, civility, and integrity. As members of this enterprise, all students are expected to know, understand, and follow the codes of conduct regarding academic integrity. At the most basic level, this means submitting only original work done by you and acknowledging all sources of information or ideas and attributing them to others as required. This also means you should not cheat, copy, or mislead others about what is your work. Violations of academic integrity (i.e., misconduct) lead to the break down of the academic enterprise, and therefore serious consequences arise and harsh sanctions are imposed. For example, incidences of plagiarism or cheating may result in a mark of zero on the assignment or exam and more serious consequences may apply if the matter is referred to the President’s Advisory Committee on Student Discipline. Careful records are kept to monitor and prevent recurrences.

  Specific Format for Tests: The examinations in this course are all closed-book, i.e., you do not have access to any of the course materials, including your notes, during the exam. Proper studying will be necessary if you wish to succeed.

  Activities that are NOT allowed during tests, quizzes, or exams: Transgression of any of the rules below consitutes cheating. Students who cheat will be given a zero for the test on which cheating occurred, and referred to the Dean''s Office for Academic Misconduct.

  1. You are NOT allowed to discuss questions and answers with your peers or classmates.
  2. You are NOT allowed to access help from tutors of any sort (local or online).
  3. You are NOT allowed to use software such as Maple, Matlab, or Wolfram Alpha to do the calculations for you.

  A more detailed description of academic integrity, including the University’s policies and procedures for dealing with academic misconduct, may be found in the Academic Calendar at http://okanagan.students.ubc.ca/calendar/index.cfm?tree=3,54,111,0 .

• Equity, Human Rights, Discrimination and Harassment

  UBC Okanagan is a place where every student, staff and faculty member should be able to study and work in an environment that is free from human rights based discrimination and harassment. If you require assistance related to an issue of equity, discrimination or harassment, please contact the Equity Office, your administrative head of unit, and/or your unit’s equity representative.

  Resources:

  • UBC Okanagan Equity Advisor: ph. 250-807-9291; email equity.ubco@ubc.ca
  • Web: www.ubc.ca/okanagan/equity
  • Unit Equity Representatives: http://www.ubc.ca/okanagan/equity/programs/equityreps/unitcontacts.html

• Cooperation vs. Cheating

  Working with others on assignments is a good way to learn the material and we encourage it. However, there are limits to the degree of cooperation that we will permit. Any level of cooperation beyond what is permitted is considered cheating. When working on assignments, working together to find a good approach for solving a homework problem is cooperation; listening while someone dictates a solution is cheating. Anything that you hand in must be written by you, from scratch, in your own words and mathematical symbols.

• Copyright Disclaimer

  Diagrams and figures included in lecture presentations adhere to Copyright Guidelines for UBC Faculty, Staff and Students http://copyright.ubc.ca/requirements/copyright-guidelines/ and UBC Fair Dealing Requirements for Faculty and Staff http://copyright.ubc.ca/requirements/fair-dealing/. Some of these figures and images are subject to copyright and will not be posted to Canvas. All material uploaded to Canvas that contain diagrams and figures are used with permission of the publisher; are in the public domain; are licensed by Creative Commons; meet the permitted terms of use of UBC’s library license agreements for electronic items; and/or adhere to the UBC Fair Dealing Requirements for Faculty and Staff. Access to the Canvas course site is limited to students currently registered in this course. Under no circumstance are students permitted to provide any other person with means to access this material. Anyone violating these restrictions may be subject to legal action. Permission to electronically record any course materials must be granted by the instructor. Distribution of this material to a third party is forbidden.

• Grievances and Complaints Procedures

  A student who has a complaint related to this course should follow the procedures summarized below:

  • The student should attempt to resolve the matter with the instructor first.
  • In rare circumstances, the student my justifiably feel the need to first talk to someone other than the instructor. Talking to the instructor first, however, is strongly encouraged.
  • If the complaint is not resolved to the satisfaction of the student, the student should e-mail the CMPS Associate Head for Undergraduate Affairs

• Academic Integrity Matters (AIM) Program

  LIB 237 250.807.9185
  email: csc.okanagan@ubc.ca
  web: http://library.ok.ubc.ca/wrs/aim/

• UBC Okanagan Disability Resource Centre

  UNC 227A
  tel: 250.807.9263
  email drc.questions@ubc.ca
  web: http://students.ok.ubc.ca/drc/welcome.html

• Equity, Human Rights, Discrimination, and Harassment

  UNC 227C
  tel: 250.807.9291
  email: equity.ubco@ubc.ca
  web: http://www.ubc.ca/okanagan/equity/welcome.html

• Health & Wellness

  UNC 337
  tel: 250.807.9270
  web: students.ok.ubc.ca/health-wellness/welcome.html
  Early Alert: https://facultystaff.students.ubc.ca/systems-tools/early-alert

• Sexual Violence Prevention and Response Office (SVPRO)

  tel: 250.807.9640
  web: svpro.ok.ubc.ca

• Independent Investigations Office (IIO)

  tel: 604.827.2060
  email: director.of.investigations@ubc.ca
  web: https://investigationsoffice.ubc.ca/

• The Hub

  LIB 237
  tel: 250.807.9185
  web: https://students.ok.ubc.ca/student-learning-hub/

• SAFEWALK

  tel: 250.807.8076
  web: https://security.ok.ubc.ca/safewalk/
  mobile app: UBC SAFE – Okanagan