
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 |