Associate Professor Erik M. Bollt

Office: Science Center 369   e-mail: bolltem@clarkson.edu

Look at my website regularly for updates and homework info.

Web: www.clarkson.edu/~bolltem

Course Text: Complex Variables and Applications, Mark J. Ablowitz, Athanassios S. Fokas.

Day

Section

Title

Homework

L1 ThJ9

1.1

Complex Numbers Properties

 

L2 TuJ14

1.2

Elementary Functions and Stereographic Projs

 

L3 ThJ16

1.3

Limits, Continuity, Complex Differentiation

 

L4 TuJ21

1.3.1

Applications to Ordinary Differential Equations

 

 

 

Electronic circuits

 

L5 ThJ23

2.1.1

Analytic Functions-Cauchy-Riemann Equations

HW1 Due

L6 TuJ28

2.1.2

Ideal Fluid Flow, Equipotentials, Consequences of Analyticity

 

L7 ThJ30

 

Steady State Temp. As a Harmonic Function

HW2 Due

 

 

Washers, and walls-Heat Pipes

 

L8 TuF4

2.2

Multivalued Functions

 

L9 ThF6

2.4

Complex Integration

HW3 Due

Tu F11

 

February  Break

 

L10 ThF13

 

More on Complex Integration, about Path Independence

 

L11 TuF18

2.5

CauchyÕs Theorem

 

L12 ThF20

2.6

CauchyÕs Integral Formula, and generalizations

HW4 Due

T13 TuF25

2.6

Continued

 

L14 ThF27

 

Exam 1

 

L15 TuM4

3.1

Definitions and Basic Props of Complex Sequences and Series

 

L16 ThM6

3.2

Taylor Series and Power Series

HW5 Due

L1  L17 TuM11

3.2/3.3

Cont Taylor Series and Power Series + Laurent Series

 

L18 ThM13

3.3

More Laurent Series

 

 

 

Spring Break

 

L19 TuM25

3.3

Laurent Series

 

L20 ThM27

3.4

Theory for Sequences and Series

HW6 Due

L21 TuA1

3.5

Singularities, Analytic Continuation, Point at Infinity

 

T22 ThA3

 

Exam 2

 

L23 TuA8

4.1

CauchyÕs Residue Theorem

 

L24 ThA10

4.1

More Residue, and a different point of view.

HW7 Due

L25 TuA15

4.2

More Residue Examples

Evaluation of Certain Integrals+ Laplace Transforms

 

L26 ThA17

4.3

Principal Value Integrals, Branch Points

 

L27 TuA22

4.3

More PVT and BP

 

L28 ThA24

 

Something Interesting

 

Friday, A25

 

Last Day of the Semester!

HW8 Due