Week | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
1 |
Aug 5
I.1 Complex Numbers I.2 Polar Representation I.3 Stereographic Projection |
Aug 6
I.4 The Square and Square Root Functions I.5 The Exponential Function I.6 The Logarithm Function |
Aug 7
I.7 Power Functions and Phase Factors I.8 Trigonometric and Hyperbolic Functions (II.1 Review of Basic Analysis) |
Aug 8
II.2 Analytic Functions
II.3 The Cauchy-Riemann Equations |
Aug 9 |
2 |
Aug 12
II.4 Inverse Mappings and the Jacobian II.6 Conformal Mappings |
Aug 13
II.7 Fractional Linear Transformations III.1 Line Integrals and Green's Theorem |
Aug 14
III.1 Line Integrals and Green's Theorem (cont.) III.2 Independence of Path |
Aug 15 | Aug 16
Last Day to Drop w/o 'W' |
3 |
Aug 19
IV.1 Complex Line Integrals IV.2 FTC for Analytic Functions |
Aug 20
IV.3 Cauchy's Theorem IV.4 The Cauchy Integral Formula IV.5 Liouville's Theorem |
Aug 21
V.1 Infinite Series V.2 Sequences and Series of Functions |
Aug 22
V.3 Power Series
V.4 Power Series Expansion of an Analytic Function |
Aug 23
Last Day to Drop w/o 'F' |
4 |
Aug 26
V.5 Power Series Expansion at Infinity V.6 Manipulation of Power Series |
Aug 27
V.7 The Zeros of an Analytic Function VI.1 The Laurent Decomposition |
Aug 28
VI.2 Isolated Singularities of an Analytic Function
VI.3 Isolated Singularity at Infinity | Aug 29 | Aug 30 |
5 |
Sep 2
Labor Day Holiday |
Sep 3
VI.4 Partial Fraction Decomposition VII.1 The Residue Theorem |
Sep 4
VII.2 Integrals Featuring Rational Functions
VII.3 Integrals of Trigonometric Functions |
Sep 5
Review
|
Sep 6
8:00am-11:00am |