FINAL EXAM INFORMATION (more information coming soon)
TIME: APR 10 2018 08:30-11:00 AM
PLACE: MATH 100
SEATING PLAN: PLAN
MATERIAL: The final exam will roughly cover all topics/texbook chapters 1 to 5 excluding the following sections: 1.7; 2.6, 2.7; 3.4, 3.6; 4.4b, 4.7; 5.4, 5.7 5.8. We will also cover 6.1 and 6.3. See the Course Summary
In addition to your class materials (notes, quizes, midterms), the PAST FINAL EXAMS are an excellent source of practise problems and will give you a good idea of what to expect in terms of topics, depth and difficulty on our exam.
This is the course page for MATH 300 in
Term 2 of the 2018 session (January to April 2018). Your grade in the course will be determined by your grades in
weekly homework assignments (worth 10% of overall grade)
weekly in class quizes (worth 15% of overall grade)
1 midterm exam (worth 25% of overall grade)
1 final exam (worth 50% of overall grade)
All The basic information on these can be found below.
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INSTRUCTOR INFORMATION
Name: Albert Chau
email: chau@math.ubc.ca
Classes: Tues/Thurs 2:00pm-3:30pm in MATX 1100
Office hour: Wed 11:00am-12:30pm
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TEXTBOOK AND COURSE PLAN
Our primary reference for the course will be
Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics by Edward B. Saff (Author), Arthur David Snider (Author).
We will cover most of Chapters 1-6 and in particular, we will cover the following topics
Complex Numbers
  - complex arithmetic
  - geometry of complex arithmetic
  - conjugation
Analytic functions: differentiation
  - complex differentiation
  - the Cauchy Riemann equations
  - the elementary analytic functions
Analytic functions: integration
  - Cauchy's Theorem
  - Cauchy's Formula
Taylor series
Laurant series; residue calculus
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Lecture Notes (2)
Lecture Notes (3)
Lecture Notes (4)
Lecture Notes (5)
Lecture Notes (6)
Lecture Notes (7)
Lecture Notes (8+9)
Lecture Notes (10: missing (basically beginnign Chapter 3 on polynomials and rational functions)
Lecture Notes (11)
Lecture Notes (12)
Lecture Notes (13)
Lecture Notes (14)
Lecture Notes (15-16)
Lecture Notes (17-18)
Lecture Notes (19-20)
Lecture Notes (21-22)
Lecture Notes (23)
Lecture Notes (24)
WEEKLY QUIZES AND HOMEWORK ASSIGNENTS
There will be 10 in class quizes. These will be short quizes to take place in class on the dates listed below. The information for each quiz below will be updated closer to the time of the quiz. Your seating for the quiz will be assigned (the quizes will be handed out with your names already on them according to the seating plan so please know where to sit on quiz days). You can find your assigned seats here: SEATING PLAN
Quiz 1 (based on the content of HW#1): (Thurs Jan 11) solutions
Quiz 2 (based on the content of HW#2): (Thurs Jan 18) solutions
Quiz 3 (based on the content of HW#3): (Thurs Jan 25) solutions
Quiz 4 (based on the content of HW#4) : (Thurs Feb 1) solutions
Quiz 5 (based on the content of HW#5): (Thurs Feb 8) solutions
Quiz 6 (based on the content of lectures 13-14): (Thurs Mar 1) solutions
Quiz 7 (based on the content of HW#6): (Thurs Mar 8) solutions
Quiz 8: (based on the content of HW#7)(Thurs Mar 15) solutions
Quiz 9: (based on the content of HW#8)(Thurs Mar 22) solutions
Quiz 10: (Thurs Mar 29)
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There will also be weekly homework assignments which will be due on the same days that you have quizes. Information on these will be posted below
MIDTERM EXAM INFORMATION
SOLUTIONS TO THE MIDTERM: solutions
TIME: During regular class time on Thurs Feb 15th (test will be one hour long)
PLACE: During regular class time
TOPIC LIST: Textbook sections: 1.1-1.6; 2.1-2.5; 3.1-3.3, 3.5 (complex powers).
Complex arithmetic. Mappings by complex functions, complex differentiability (limit definition, rules of differentiation, local model, using to show a specific function is differentiable or not), Cauchy-Riemann equations (using in examples to show a specific is differentiable or not. Using to show various properties of analytic functions), harmonic functions and conjugates. The basic analytic functions, namely the polynomials, rationals, exponential, logarithm, trig and complex powers: know the definitions of these functions (pay special attention where multivaluedness and branches of the argumnt function are concerned), know where they are analytic (again pay special attention when a choice of ``branch" has to be made), and know the formulas for their derivatives (the derivatives of these are in fact given by the same formulas as for real the corresponding real values functions)
Prepare by studying the lectures notes, and also the homeowrks and quizes. Past final exams also provide excellent review problems, but be careful and only look at those problems which are relevant to our midtrem topics (typically no more than the first two problems on the exam). The following are links to previous years course pages where you will find practise midterms. Look only at midterm 1 for each link below (midterm 2 in the links below consist mostly of problems which will not appear on our test).
practise midterms from 2017
practise midterms from 2015
practise midterms from 2015
practise midterms from 2015
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