MATH2230A - Complex Variables with Applications - 2015/16

Announcement

• Test Dates: Oct 15, Nov 12, both at Thu lecture time
• Test Venue for all: Science Centre L1 (the first 10 rows)
• First tutorial class will start on Sept 15 (Tue) and 16 (Wed)

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General Information

Lecturer

• Thomas Kwok-keung AU
  • Office: LSB 213
  • Tel: 3943 7981
  • Email:
  • Office Hours: By appointment

Teaching Assistant

• Xin LIU
  • Office: AB1 614
  • Tel: 3943 4109
  • Email:
• Wenqi LYU
  • Office: AB1 614
  • Tel: 3943 4109
  • Email:
• Sai Mang PUN
  • Office: LSB 222C
  • Tel: 3943 8570
  • Email:

Time and Venue

• Lecture: Tue 09:30-10:15 at LSB C2; Thu 08:30-10:15 at LSB LT5
• Tutorial: Tue 08:30-09:30 at LSB C2; Wed 18:30-19:15 at LSB C1

Course Description

See Course Description file in Pre-class Notes.

Textbooks

• Churchill & Brown, Complex Variables and Applications

References

• Saff & Snider, Fundamentals of Complex Analysis for Math, Sci, Engineering
• Needham, Visual Complex Analysis
• Beardon, Complex Analysis: the Argument Principle ....
• Ahlfors, Complex Analysis
• Stein & Shakarchi, Complex Analysis

Pre-class Notes

• Course Description

Lecture Notes

• Notes 01 - Algebraic Structure, domain, function
• Notes 02 - Understand a function (final version)
• Notes 03 - Complex Differentiable
• Notes 04 - conformal and harmonic conjuate
• Notes 05 - checking analyticity
• Notes 06 - Exponential, Trigonometric, Hyperbolic functions
• Notes 07 - Logarithm
• Notes 08 - Complex powers
• Notes 09 - Contour Integration
• Notes 10 - Zero Contour Integrals
• Notes 11 - Cauchy-Goursat Thm (completed)
• Notes 12 - One singularity
• Notes 13 - Properties of Analyticity
• Notes 14 - Maximum Modulus
• Notes 15 - Taylor and Laurent Series
• Notes 16 - Singularities, Residues
• Notes 17 - Application to Integrals I
• Notes 18 - Application to Integrals II
• Hints for Test 1
• Hints for Test 2
• Hints for 2014 Exam #1, 5
• Hints for 2014 Exam #3, 4

Tutorial Notes

• Tutorial 1 2015-Sep1516
• Tutorial 2 2015-Sep2223
• Tutorial 3 2015-Sep2930
• Tutorial 4 2015-Oct0607
• Tutorial 5 2015-Oct1314
• Tutorial 6 2015-Oct20
• Tutorial 7 2015-Oct2728
• Tutorial 8 2015-Nov0304
• Tutorial 9 2015-Nov1011
• Tutorial 10 2015-Nov1718
• Tutorial 11 2015-Nov2425

Assignments

• Section 2, #1, 2, 4, 9, 10, 11
• Section 3, #1, 2, 8
• Section 5, #3, 4, 5, 7
• Section 6, #2, 8, 9, 10, 13, 14
• Section 9, #1, 4, 5, 6, 9, 10, 11
• Section 11, #1, 2, 3, 4, 6, 7, 8
• Section 14, #1 to 9
• Section 96, #2, 4, 5
• Section 98, #1, 2, 4
• Section 106, #2, 3, 6
• Section 18, #1, 3, 7, 9 to 13
• Section 20, #1 to 4, 8 to 10
• Section 24, #1 to 8
• Section 26, #1, 2, 4, 5, 7
• Section 30, #1, 2, 3, 5, 6, 7, 9, 10, 12, 13
• Section 38, # 2, 4, 7, 8, 11, 14, 15, 16
• Section 39, # 6, 7, 9, 13, 14, 16
• Section 33, #1, 2, 5, 7, 8, 10, 11, 12
• Section 34, #1, 4, 5
• Section 36, #1, 2, 3, 6, 7
• Section 38, #2, 5, 7, 8, 15, 16
• Section 39, #2, 6, 7, 14, 15, 17
• Section 40, #1, 2, 3
• Section 42, #2, 3, 4
• Section 43, #1, 2, 5, 6
• Section 46, #1, 3, 4, 6, 7, 9, 11, 13
• Section 47, #1 to 8
• Section 49, #2, 3, 4, 5
• Section 53, #1 to 9
• Section 57, #1 to 7
• Section 59, #1, 2, 4, 6, 7
• Section 65, #1, 2, 3, 5, 6, 10, 11
• Section 68, #1, 2, 3, 4, 5, 6, 9, 10
• Section 73, #1, 3, 4, 5, 6
• Section 77, #1 to 7
• Section 79, #1 to 4
• Section 83, #1, to 4, 6, 7, 8
• Section 86, #1, 2, 3, 5, 6, 9, 10, 11
• Section 88, #1, 3, 5, 6, 10, 11, 12
• Section 91, #1, 2, 3, 4, 6
• Section 92, #1 to 6

Assessment Scheme

Tutorial credits		10%
Test 1		20%
Test 2		20%
Final Examination		50%

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Last updated: December 07, 2015 23:11:03