Course Schedule |
Math 312: Worksheets |
# |
Date | Topic |
Week 1 | ||
Class 1 |
Wed Jan 22 | Properties of Complex Numbers |
Class 2 |
Fri Jan 24 | Graphical Representation of Complex Numbers and Inequalities |
Week 2 | ||
Class 3 |
Mon Jan 27 | Polar and Exponential Forms of Complex Numbers |
Class 4 |
Wed Jan 29 | Roots of a Complex Numbers |
Class 5 |
Fri Feb 1 | Points Sets in the Complex Plane (Buckmire's Solutions) |
Week 3 | ||
Class 6 |
Mon Feb 03 | Functions of a Complex Variable |
Class 7 |
Wed Feb 05 | Understanding Linear Mapping |
Class 8 |
Fri Feb 07 | Special Power Functions and the Reciprocal Function |
Week 4 | ||
Class 9 |
Mon Feb 10 | Introduction to Limits and Continuity of a Complex Function |
Class 10 |
Wed Feb 12 | Differentiability of Complex Functions |
Class 11 |
Fri Feb 14 | Analyticity and the Cauchy-Riemann Equations |
Week 5 | ||
|
Mon Feb 17 | Presidents Day Holiday |
Class 12 |
Wed Feb 19 | Applications of Harmonic Functions |
Class 13 |
Fri Feb 21 | Complex Exponential and Trigonometric Functions |
Week 6 | ||
Class 14 |
Mon Feb 24 | Complex Logarithm |
Class 15 |
Wed Feb 26 | Complex Exponents |
Class 16 |
Fri Feb 28 | EXAM 1 REVIEW |
Week 7 | ||
Class 17 |
Mon Mar 3 | EXAM 1 |
Class 18 |
Wed Mar 5 | Class Cancelled (Buckmire absent) |
Class 19 |
Fri Mar 7 | Class Cancelled (Student democracy!) |
Week 8 | ||
Class 20 |
Mon Mar 17 | Review of Integration in Real Variables |
Class 21 |
Wed Mar 19 | Introduction to Complex Integrals |
Class 22 |
Fri Mar 21 | The Cauchy-Goursat Theorem |
Week 9 | ||
Class 23 |
Mon Mar 24 | Implications of the Cauchy-Goursat Theorem |
Class 24 |
Wed Mar 26 | The Cauchy Integral Formula |
Class 25 |
Fri Mar 28 | Implications of the Cauchy Integral Formula(s) |
Week 10 | ||
Class 26 |
Mon Mar 31 | Zeroes, Poles and Residues |
Class 27 |
Wed Apr 2 | Classifying Singularities and Using Cauchy Residue Theorems |
Class 28 |
Fri Apr 4 | Maclaurin and Laurent Series |
Week 11 | ||
Class 29 |
Mon Apr 7 | Class Cancelled (Buckmire absent) |
Class 30 |
Wed Apr 9 | Applications of Cauchy Residue Theorem To Real Integrals |
Class 31 |
Fri Apr 11 | Exam 2 Review |
Week 12 | ||
Class 29 |
Mon Apr 14 | EXAM 2 |
Class 30 |
Wed Apr 16 | Linear Fractional Transformations |
Class 31 |
Fri Apr 18 | Linear Fractional
Transformations, continued |
Week 13 | ||
Class 32 |
Mon Apr 21 | Laurent Series, Revisited |
Class 33 |
Wed Apr 23 | TERM PROJECT HELP SESSION |
Class 34 |
Fri Apr 25 | TERM PROJECT HELP SESSION |
Week 14 | ||
Class 36 |
Mon Apr 21 | Final Exam Review, part 1 |
Class 33 |
Wed Apr 23 | Final Exam Review, part 2 or Class Cancelled or Class Party! |
Last Updated April 25, 2014