| Week | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 1 |
Aug 3
I.1 Complex Numbers I.2 Polar Representation I.3 Stereographic Projection |
Aug 4
I.4 The Square and Square Root Functions I.5 The Exponential Function I.6 The Logarithm Function |
Aug 5
I.7 Power Functions and Phase Factors I.8 Trigonometric and Hyperbolic Functions (II.1 Review of Basic Analysis) |
Aug 6
II.2 Analytic Functions
II.3 The Cauchy-Riemann Equations |
Aug 7 |
| 2 |
Aug 10
II.4 Inverse Mappings and the Jacobian II.6 Conformal Mappings |
Aug 11
II.7 Fractional Linear Transformations III.1 Line Integrals and Green's Theorem |
Aug 12
III.1 Line Integrals and Green's Theorem (cont.) III.2 Independence of Path |
Aug 13 | Aug 14
Last Day to Drop w/o 'W' |
| 3 |
Aug 17
IV.1 Complex Line Integrals IV.2 FTC for Analytic Functions |
Aug 18
IV.3 Cauchy's Theorem IV.4 The Cauchy Integral Formula IV.5 Liouville's Theorem |
Aug 19
V.1 Infinite Series V.2 Sequences and Series of Functions |
Aug 20
V.3 Power Series
V.4 Power Series Expansion of an Analytic Function |
Aug 21
Last Day to Drop w/o 'F' |
| 4 |
Aug 24
V.5 Power Series Expansion at Infinity V.6 Manipulation of Power Series |
Aug 25
V.7 The Zeros of an Analytic Function VI.1 The Laurent Decomposition |
Aug 26
VI.2 Isolated Singularities of an Analytic Function
VI.3 Isolated Singularity at Infinity | Aug 27 | Aug 28 |
| 5 |
Aug 31
VI.4 Partial Fraction Decomposition VII.1 The Residue Theorem |
Sep 1
VII.2 Integrals Featuring Rational Functions |
Sep 2
VII.3 Integrals of Trigonometric Functions |
Sep 3
Review
|
Sep 4
8:00am-11:00am |