MATH2060A - Mathematical Analysis II - 2017/18

Announcement

• Course Outline (updated Jan 19) [Download file]
• We will have tutorials on W1 and F1 in the second week. You may go to either one.
• I propose to change the tutorials from W1/F1 to W3/F1 (beginning from the third week). Anyone who cannot make it please let me know as soon as possible.
• Beginning from the third week, tutorials will be held on W3 (C3) and F1(LT4).
• Quiz 1 will be held on Jan 31 and Feb 2 during tutorials. You may attend either one session and fix it once and for all. The coverage of Quiz 1 is 6.1 and 6.2.
• We will study convex functions next week following my notes.
• There will be no classwork in the coming week. Tutors will work out more examples.
• Quiz 2 will be held on Feb 14 in lecture. It covers 6.4 (those taught) and my notes on convex functions.
• There will be 5/6 quizzes and only the best 4/5 will be counted. In principle you may give up one.
• Midterm will be held on March 2 in lecture. Its coverage is up to 2.1 in Notes 2 on integration theory.
• No assignment this week. Tutorial resumed on Feb 23 (F). Happy Lunar New Year !
• Assignment 6 will be posted on Feb 28(W).
• Notes 2 on integration has been revised by fixing a few typos and removing materials not taught in this term.
• I have added Improper Integral to Notes 2. Deleted it by accident.
• Ex 7 contains some materials to be covered on the coming Wednesday.
• Quiz 3 will be held in tutorial March 21 and March 23. It will cover 2.3, 2.4 and 2.5 in Notes 2.
• Comments on Midterm Exam [Download file]
• A question on integrability [Download file]
• Indices for theorems have been corrected in the notes on uniform convergence.
• There will be no classwork in the tutorial on March 28.
• Quiz 4 to be held on tutorials on April 11/13. It covers 3.1-3.3 in Notes 3.
• Quiz 5 to be held on tutorials on April 18/20. It covers 3.4, 3.5 and 9.1.
• Final Exam covers 2.3-2.5 in Notes 2, Notes 3, and Chapter 9 in Text.
• Ex 13 has been uploaded.
• Our TA's suggest to have an extra tutorial section on next Monday (April 23) to discuss Ex 12 and 13. It will be held from 3:30-5:30 at C1, LSB. All are welcome.
• Notes 4 on Power Series has been uploaded. It is for further reading. Do it after the final exam.
• A short note on Limit superior has been uploaded. Read it after the final exam.

Lecture Notes

• Convex functions
• Riemann integration (revised March 9)
• Uniform convergence (revised March 17)
• Power Series
• Limit Superior

Tutorial Notes

• Tutorial 4 (on 9/2 Fri)
• Tutorial 5 (on 23/2 Fri)
• Tutorial 7 (on 9/3 Fri)
• Errata to Tutorial 9 (on 23/3 Fri)
• Tutorial 10 (on 6/4 Fri)
• Tutorial 11 (on 13/4 Fri)
• Tutorial 12 (on 20/4 Fri)
• Extra Tutorial (on 23/4 Mon)

Assignments

• Assignment 1
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6
• Assignment 7
• Assignment 8
• Assignment 9
• Assignment 10
• Assignment 11
• Assignment 12
• Assignment 13

Solutions

• Solution to Assignment 1
• Solution to Assignment 2
• Solution to Assignment 3
• Solution to Assignment 4
• Solution to Assignment 5
• Solution to Assignment 6
• Solution to Assignment 7
• Solution to Assignment 8
• Solution to Assignment 9
• Solution to Assignment 10
• Solution to Assignment 11
• Solution to Assignment 12
• Solution to Assignment 13