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.

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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

• 30Nov2021

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.44-45: 8, 11 (submit ONE PDF file to Blackboard)
• HW 2. Deadline: 28/9, 23:59. P.61-62: 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

• Home Test (26 Nov 1700 - 27 Nov 1700) (submit ONE PDF file to Blackboard)

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: 8:30-10:00am, 2 Nov (Tue)		20%
24-hour Home Project: From 5:00pm, 26 Nov (Fri) To 5:00pm, 27 Nov (Sat)		20%
Exam		50%

Useful Links

• Link to Blackboard
• Textbook Google Search
• Course webpage of MATH2050A (2020 - 2021)

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Assessment Policy

Last updated: December 24, 2021 17:18:39