Math 312
Spring 2014

Worksheets

Exams / Resources

Ron Buckmire
Contact / Home / Schedule

Course Schedule

Quizzes / Homework

Term Project

Math 312: Worksheets

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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