Theory of functions of one complex variable, analytic and meromorphic functions. Cauchy's theorem, residue calculus, conformal mappings, introduction to analytic continuation and harmonic functions.

• Prerequisite: MAT223H1/MAT240H1, MAT235Y1/MAT237Y1/MAT257Y1
• Exclusion: MAT354H1
• Distribution Requirements: Science
• Breadth Requirements: The Physical and Mathematical Universes (5)

It is rather inexpensive,

• The Complex Plane
• Basic Properties of Analytic Functions
• Analytic Functions as Mappings

• We plan to give 7 Quizzes drawn from the Home Assignments (minor modifications are possible), each worth 3 points, worth together 15 points, with 2 worst dropped. They will be offered either on the Lectures, or on Tutorials (the arrangements could differ for different quizzes). Quizzes are usually weekly or biweekly and are 15—20 min long in class time. See details for each Quiz in its description; all Quizzes are listed in Modules and in Calendar.
• If we reduce the total number of quizzes to 6, with 2 worst dropped, each will be 3.75 points worth.
• Home assignments are neither submitted nor graded but Quizzes will be drawn from Home assignments which are due.

• $\mathsf{T}_1$ and $\mathsf{T}_2$ are your Test 1 and Test 2 marks (each of these tests is worth 20 points),
• $\mathsf{Q}_n$ are Quiz marks (each 3 points worth), $n=1,2,\ldots,7$, two worst of them is dropped, so $\mathsf{Q}$ is 15 points worth,
• $\mathsf{FEM}$ is a Final Exam Mark, 45 points worth.

• You need to send your email to the right person. In particular, all emails concerning Missing Tests and Quizzes, Permissions, Missing Marks should be sent to the Class Coordinator (not your Section Instructor). Emails, sent to the wrong person usually will be discarded and will be forwarded only in the exceptional cases (why? because it too time consuming to deal with those who do not read Outlines or Announcements)
• Instructor, handling appeals for particular Quiz and Test, will be announced separately. Appeal should go to him.
• Your subject line should include MAT244 and the subject of the email. Do not respond to the unrelated emails (or if you do, change the subject line).
• Email should contain all necessary information, including your Lecture Section and Tutorial Section (if needed) etc.
• Questions of public interest are not for emails; we have a Forum (for mathematical questions) and Discussions on Quercus (for non-mathematical questions).

• For each Test (Term Test 1 or Term Test 2) there will be a Deferred sitting, one week after the Test. You are eligible for a Deferred sitting, if you submit a Doctor's Note (see below) covering the regular day of the Test.
• If you missed a regular day of the Test (due to a confirmed illness), and cannot take a Deferred test, you need to submit a Doctor's Note for a Deferred sitting as well.
• If you miss the Test, and the Deferred sitting of the Test, and submitted the Doctor's Notes for both of them, your remaining Test Marks (including Final Exam Mark) will be rescaled accordingly:
  • If you missed one test,   $\mathsf{T}_1 + \mathsf{T}_2 + \mathsf{FEM}$ will get a factor $85/65$.
  • If you missed two tests, $\mathsf{T}_1 + \mathsf{T}_2 + \mathsf{FEM}$ will get a factor $85/45$.

• Please note, that the Quizzes are offered during regular class hours and therefore there will be no remedy if you miss the Quiz due to a conflict with other academic activity: if it takes place during its regular hours, it is your responsibility to ensure no schedule conflicts; if it is out-off-regular-hours activity (like our Tests), it is responsibility of this class instructor to accommodate you (as we do).
• There will be no deferred sitting for Quizzes, but if you missed a Quiz, say Monday or Tuesday, due to the illness, you may (not must) take it with another section later this week (permission of the Class Coordinator is required!)
• $\mathsf{Q}$ will get a factor $15/(15-LQ)$ with $LQ$ the sum of all legitimately missed quizzes minus 2. Which means that if you have Doctor's Notes for 1-2 quizzes, they are not counted (since 2 worst marks are discarded anyway), if you have Doctor's Notes for 3 quizzes, only 1 is counted and so on.

• Doctor's Note aka Verification of Student Illness or Injury form covering the day of the missing Test or Quiz is required. You are required to provide it ASAP, during the same or the next week (extensions are granted upon my discretion).
• You may email to the Class Coordinator (not your section instructor!) a scan of this form when you receive it (it is even more convenient than to bring an actual paper), but then you need to be ready to bring me the original, if I request. You should scan this note using either a scanner, or a special scanning software on your smartphone. Smartphone photos of such notes will not be accepted (Why? Photos are of low quality and/or too large).
• Both paper form and email should have all necessary information (f.e. Q2 in section T0101,February 5). We will not respond to your email, but put a corresponding note in the field TT-notes or Q-notes on Quercus.

• Final Exam is administrated by the Faculty of Arts and Science, if you missed it due to the illness, you need to take a deferred exam, and you need to submit this Doctor's Note and talk to the Faculty or College Registrar (not to us).

Everything (Tests, Final Exam, Quizzes) are graded using Crowdmark. Please read here. It also covers the Lost work/mark issue.

• You can go to any instructor during his office hours.
• You may enroll into any section (subject to a space availability) but you need to stick with your choice.
• You cannot just walk into Early or Deferred Sitting of the Test or to Quiz at another section, without registering or getting permission: there may be not enough space or test/quiz papers (rooms are booked and papers are produced based on the registration or permission issued). If you do so, your mark for this test/quiz will be $0$. Exception: if you writing Quiz with T&E services, you are encouraged to write with the section occupying different time slot; then you can attend your section.
• One time permission to write with a different section could be given only by the Class Coordinator and not by your Instructor or TA (Why? Because the Class Coordinator keeps all records and is responsible for ordering booklets from Printshop and giving booklets to different sections, and booklets for different sections are different) and request must be submitted before a deadline (again the Class Coordinator needs to know the number of copies for each section required before ordering--so there is a deadline for each Test or Quiz; the small number of extra copies is ordered but they are for emergencies only; "Sorry I forgot!" is not an emergency).
• There could be situations or circumstances which are not covered by these Outlines or University & Faculty policies. Please talk to the Class Coordinator (email or just talk). Please do it as soon as possible.