MATH2058  Honours Mathematical Analysis I  2021/22
Announcement
 Please submit your assignments to Blackboard (AVAILABLE) and follow the instructions there.
 There will be NO tutorial class in the first week (9 Sep, Thur).
 HW1 is available (Graded)
 HW2 is available (Graded)
 HW3 is available (Graded)
 HW4 is available (Graded)
 Revision Test is available on Blackboard. (Graded for those who have submitted)
 HW5 is available (Graded)
 No HW on the week 25/10  29/10. First Midterm on 2/11. Good luck
 No Tutorial and Homework on the week 1/11  5/11
 HW6 is available (Graded)
 HW7 is available (Graded)
 The Home Test has been sent to you through mail. You can also view the Home Test on Blackboard and below.
 Midterm 1 Statistic: SD: 8.15, Mean: 30.3/45
 HW 8 is available (Graded)
 Good Luck to your final.
General Information
Teaching Assistant

Lam Ka Lok
 Office: 222A
 Email:
 Office Hours: Full day on 28/10
Time and Venue
 Lecture: Tues, 08:30  10:15, LHC_G04; Thu, 09:30  10:15, SC_LG23
 Tutorial: Thu, 08:30  09:15, SC_LG23
Textbooks
 R.G. Bartle and R. Sherbert, Introduction to real analysis, 4th edition. John Wiley & Sons, Inc. (2011)
Lecture Notes
Tutorial Notes
 Tutorial Note 1: The epsilon  Argument, Supremum, Infermum
 Tutorial Note 2: Sequences, Convergence, Divergence
 Tutorial Note 3: Subsequences, Monotonicity, Liminf, Limsup
 Tutorial Note 4: More Examples on Sequences and Subsequences
 No Tutorial from 11/10 to 15/10
 Tutorial Note 5: Cauchy Sequences
 Tutorial Note 6: Divergent Sequences
 No Tutorial from 1/11 to 5/11
 Tutorial Note 7: Different Notions of Functional Limits
 Tutorial Note 8: Basic Topology of R, Continuity and Discontinuity
 Tutorial Note 9: More on Topology of R, Compactness, Connectedness, Monotone Functions
 Tutorial Note 10: Metric Structure of R, Uniform Continuity, Lipschitz Functions
Assignments
 Textbook Google Search available at Useful Links
 HW 1. Deadline: 21/9, 23:59. P.4445: 8, 11 (submit ONE PDF file to Blackboard)
 HW 2. Deadline: 28/9, 23:59. P.6162: Q5cd, 9 (submit ONE PDF file to Blackboard)
 HW 3. Deadline: 5/10, 23:59. P.77: Q4, 10 (submit ONE PDF file to Blackboard)
 HW 4. Deadline: 12/10, 23:59. P.84: Q4, 12 (submit ONE PDF file to Blackboard)
 No HW from 11/10 to 15/10
 Revision Test 1
 HW 5. Deadline: 26/10, 23:59. P.91: Q3, 9 (submit ONE PDF file to Blackboard)
 Revision Test 2
 No HW from 25/10 to 29/10.
 No HW from 1/11 to 5/11.
 HW 6. Deadline: 16/11, 23:59. P.110: Q15; P.116: Q4; P.129: Q10 (submit ONE PDF file to Blackboard)
 HW 7. Deadline: 23/11, 23:59. P.129: Q9; P.140: Q7 (submit ONE PDF file to Blackboard)
 HW 8. Deadline: 7/12, 23:59. P.148: Q. 2, 6, 7 (submit ONE PDF file to Blackboard)
Quizzes and Exams
Solutions
 HW1 (Solutions)
 HW2 (Solutions)
 HW3 (Solutions)
 HW4 (Solutions)
 Revision Test 1 (Solutions)
 HW5 (Solutions)
 Revision Test 2 (Solutions)
 Midterm 1 (Solutions)
 HW6 (Solutions)
 HW7 (Solutions)
 Home Project (Suggested Solutions in Brief)
 HW8 (Solutions)
 Please refer to suitable tutorial notes (e.g Tut 3, 4, 10) or textbook questions for solutions to the Final
Assessment Scheme
Homework  10%  
Test: 8:3010:00am, 2 Nov (Tue)  20%  
24hour Home Project: From 5:00pm, 26 Nov (Fri) To 5:00pm, 27 Nov (Sat)  20%  
Exam  50% 
Useful Links
Assessment Policy Last updated: December 24, 2021 17:18:39