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|
Date |
Topic |
| Week 1 |
|
Class 1
|
Wed
Jan 20 |
Properties of Complex Numbers |
|
Class 2
|
Fri
Jan 22 |
Graphical Representation of Complex
Numbers and Inequalities |
| Week 2 |
|
Class 3
|
Mon
Jan 25
|
Polar and
Exponential Forms of Complex Numbers |
|
Class 4
|
Wed
Jan 27 |
Roots of
a Complex Numbers |
|
Class 5
|
Fri Jan 29
|
Points
Sets in the Complex Plane (Buckmire's Solutions)
|
| Week 3 |
|
Class 6
|
Mon
Feb 01 |
Functions of a
Complex Variable |
|
Class 7
|
Wed
Feb 03 |
Understanding
Linear Mapping |
|
Class 8
|
Fri
Feb 05 |
Special Power
Functions and the Reciprocal Function |
| Week 4 |
|
Class 9
|
Mon
Feb 08 |
Introduction
to Limits and Continuity of a Complex Function |
|
Class 10
|
Wed
Feb 10 |
Differentiability
of Complex Functions |
|
Class 11
|
Fri
Feb 12 |
Analyticity
and the Cauchy-Riemann Equations |
| Week 5 |
|
Mon
Feb 15 |
Presidents
Day Holiday |
|
Class 12
|
Wed
Feb 17 |
Applications
of Harmonic Function |
|
Class 13
|
Fri
Feb 19 |
Complex
Exponential and Trigonometric Function |
| Week 6 |
|
Class 14
|
Mon
Feb 22 |
Complex
Logarithm |
|
Class 15
|
Wed
Feb 24 |
Complex
Exponents |
|
Class 16
|
Fri
Feb 26 |
EXAM 1 REVIEW |
| Week 7 |
|
Class 17
|
Mon Feb 29
|
EXAM 1 |
|
Class 18
|
Wed
Mar 2
|
Class
Cancelled |
|
Class 19
|
Fri
Mar 4
|
Mid-Semester Review of the class |
| Week 8 |
|
Class 20
|
Mon
Mar 14 |
Review of
Integration in Real Variables |
|
Class 21
|
Wed
Mar 16 |
Introduction to
Complex Integrals |
|
Class 22
|
Fri
Mar 18 |
The
Cauchy-Goursat Theorem |
| Week 9 |
|
Class 23
|
Mon
Mar 21 |
Implications of
the Cauchy-Goursat Theorem |
|
Class 24
|
Wed
Mar 23 |
The Cauchy
Integral Formula |
|
Class 25
|
Fri
Mar 25 |
Class
Cancelled |
| Week 10 |
|
Class 26
|
Mon
Mar 28 |
Implications of
the Cauchy Integral Formula(s) |
|
Class 27
|
Wed Mar 30
|
Zeroes, Poles, Residues and
Cauchy's Residue Theorem |
|
Class 28
|
Fri
Apr 1
|
Classifying
Singularities and Using Laurent and Maclaurin Series |
| Week 11 |
|
Class 29
|
Mon
Apr 4
|
Application of Complex Integration to Evaluate Real (Trigonometric) Integrals
|
|
Class 30
|
Wed
Apr 6
|
Applications of
Contour Integration To Evaluate Certain Improper Integrals |
|
Class 31
|
Fri
Apr 8
|
Linear Fractional
Transformations |
| Week 12 |
|
Class 29
|
Mon
Apr 11 |
Linear Fractional
Transformations |
|
Class 30
|
Wed
Apr 13 |
Exam 2 Review |
|
Class 31
|
Fri
Apr 15 |
EXAM 2
|
| Week 13 |
|
Class 32
|
Mon
Apr 18
|
Linear Fractional
Transformations, continued
|
|
Class 33
|
Wed
Apr 20 |
Laurent Series
|
|
Class 34
|
Fri
Apr 22 |
TERM PROJECT PRESENTATIONS
|
| Week 14 |
|
Class 36
|
Mon
Apr 25 |
TERM PROJECT PRESENTATIONS |
|
Class 33
|
Wed
Apr 27 |
TERM PROJECT PRESENTATIONS and Final Exam Review
|