Instructor: Thomas W. Carr
| Assignment | Description | Section | Problems | Due Date |
|---|---|---|---|---|
| 1 | Definition & Algebra | 1.1 | 8,10,15,19,21 | |
| 2 | Point Representation | 1.2 | 4,7(a,c,i),8,13 | |
| 3 | Vectors (& Polar Forms) | 1.3 | Mon, Jan 24 | |
| 4 | (Vectors &) Polar Forms | 1.3 | 3,5a,12(a,b,c,d) | |
| 5 | Complex Exponential | 1.4 | 2(a,b),3(b,c),17(b,c) | |
| 6 | Powers & Roots | 1.5 | 5(a,d),10,13 | |
| 7 | Planer Sets | 1.6 | Read section. | Mon, Jan 24 Graded 1.1.21, 1.2,1, 1.3.3 |
| 8 | Functions | 2.1 | 1(b,c),2(b,c),4(a,b),5(a-e),10(a,d) | Mon, Jan 31 |
| 9 | Limits and Continuity | 2.2 | 11(d,e),17 Numerator of 11d should be (z^2 +1). |
Mon, Jan 31 Graded 2.1.10, 2.1.17 |
| 10 | Analyticity & Differentiability | 2.3 | 4(a),7(a,c),10,11(c,d,e,g) | Mon, Feb 7 |
| 11 | Cauchy-Riemann Equations | 2.4 | 1(a),2,3,6 | Mon, Feb 7 Graded 2.4.1, 2.4.2, 2.4.3 |
| 12 | Harmonic Functions | 2.5 | 1(c),3(c,d),7 | Mon, Feb 14 |
| 13 | Exp., Trig. and Hyp. functions | 3.2 | 3,5(a,d,e),14(a,b),17(a,b,c),20 | Mon, Feb 14 |
| 14 | Multivalued & Logarithmic Function | 3.3 | 1(b,d),5(b,c),6,8,9,11 | Mon, Feb 14 Graded 2.5.3c, 3.2.17b, 3.3.9 |
| Exam 1 | solutions | Wed, Feb 16 | ||
| 15 | Complex Powers and Inverse Trig. | 3.5 | 1(a,d),3(a,b),7,8,10 | Mon, Feb 21 |
| 16 | Contours | 4.1 | 1,6,7,8,9 | Mon, Feb 21 Graded 3.5.8, 4.1.8 |
| 17 | Contour Integrals | 4.2 | 1,3(b,c),5,6,8,9,14(a,b),16 | Mon, Feb 28 Graded 4.2.8, 4.2.14 |
| 18 | Independence of Path | 4.3 | 1(a,c,e,g),2,4,5,6,7 | Mon, Mar 7 |
| 19 | Cauchy-Integral Theorem | 4.4 | 3,9,12,13,15,16,17 | Mon, Mar 7 Graded 4.4.15, 4.4.16, 4.4.17 |
| 20 | CI Theorem & Cauchy-Integral Formula | 4.5 | 3(all parts),4(all parts),6,7,15 | Mon, Mar 21 Graded 4.5.4, 4.5.6 |
| 21 | Bounds on f(x) | 4.6 | 1,2,13,18 | Mon, Mar 21 |
| Exam 2 | solutions | Wed, Mar 23 | ||
| 22 | Sequences and Series | 5.1 | 1(b),2(b),7(c,d),8,12,14(a) | Mon, Apr 4 |
| 23 | Taylor Series | 5.2 | 1(a,b),5(a,b,e,g),6,11(a) | Mon, Apr 4 Graded 5.2.5, 5.2.6 |
| 24 | Power Series | 5.3 | 2,3(b),5,6(a,b,c),7,8 | Mon, Apr 4 |
| 25 | Laurent Series | 5.5 | 2,3,5,7(a),11 | Mon, Apr 11 Graded 5.5.3, 5.5.5 |
| 26 | Zeros & Singularities | 5.6 | 1,3,5 | Mon, Apr 11 |
| 27 | Residues | 6.1 | 1(a,b,d,f,h),2,3(a,b,d,g),7 | Mon, Apr 11 |
| 28 | Trig Integrals over [0,2Pi] | 6.2 | 1,5 | Mon, Apr 18 |
| 29 | Improper Integrals | 6.3 | 3,4,5,6,10(a),11 | Mon, Apr 18 |
| Exam 3 | solutions | Wed, Apr 20 | ||
| 30 | Improper Integrals w/ Trig | 6.4 | 3,5,6,8 | Wed, Apr 25 |
| 31 | Indented Contours | 6.5 | 5,7,9,11 | Mon, May 2 |
| 32 | Integration on Branch Cut | 6.6 | 2,3,6,8 | Mon, May 2 |
| 33 | Laplace Transforms | 8.3 | - | - |
