| DATE | 8th Edition ASSIGNMENT | 9th Edition ASSIGNMENT |
| 02/04 |
Properties of Complex
Numbers Section 1.1-2, p. 5[4]: #1, 2, 4, 9 Section 1.3, p. 8[7]: #1, 2, 6, 7 Section 1.4, p. 12[13]: #1 Section 1.5, p. 14[16]: #1(a,d), 2a |
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| 02/06 |
Section 1.4, p. 12[13]:
#,5c, 6b, 3 Section 1.5, p. 14[16]: #5, 9, 10, 14 Section 1.8[1.9], p. 22[23]: #1, 2, 4, 5 |
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| 02/09 |
Section 1.8[1.9], p. 22[23]: #3, 6,
10 Section 1.1-1.5[6] Homework due on Wednesday |
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| 02/11 |
Roots of Complex
Numbers Section 1.9-1.10, p. 29: #1, 2, 3, 6[typo: “…zeros to factor z4+4 into…”] |
Section 1.10-1.11, p. 30: #1, 2, 3, 4, 6 |
| 02/13 |
Section 1.9-1.10, p. 29: #7, 8 Section 2.12, p. 37: #1, 2, 3, 4 |
Section 1.10-1.11, p. 30: #7, 8 Section 2.14, p. 43: #1, 2a, 3, 4 |
| 02/16 |
Determine the functions that implement
contraction and dilation mappings. Section 2.15-2.18, p. 55: Use limit def to prove that lim(z-> 1+2i) 3z-4 = -1+6i. Then just do #2(a). Quiz Wednesday over 8th Edition Sections 1.6-1.10 |
Determine the functions that implement
contraction and dilation mappings. Section 2.15-2.18, p. 54: Use limit def to prove that lim(z-> 1+2i) 3z-4 = -1+6i. Then just do #2(a). Quiz Wednesday over 9th Edition Sections 1.7-1.11 |
| 02/18 |
Quiz 1 Section 2.15-18, p. 55: #1(b), 2(a), 5, 3, 10, 11 |
Section 2.15-18, p. 54: #1(b), 2(a), 5, 3, 10, 11 |
| 02/20 |
Derivatives
of Complex Functions Section 2.19-2.20 I. Given w=3z^2-z, use the limit definition to show that dw/dz = 6z-1 II. Given w = 1/z, use the limit definition to show that dw/dz = -1/z^2 . III. p. 62: #8 |
Section 2.19-2.20 I. Given w=3z^2-z, use the limit definition to show that dw/dz = 6z-1 II. Given w = 1/z, use the limit definition to show that dw/dz = -1/z^2 . III. p. 61: #8 |
| 02/23 |
Section 2.19-2.20, p. 62: #1, 2, 5 Section 2.21-2.23, p. 71: #1, 2, 3, 4(a,c), 8 Additional Problems I. Show that f(z) = x^2 + y ^2 +i(2xy) is only differentiable along the x-axis. II. Given f(z) = x^2-x+y +i(y^2-5y-x) , determine where it is differentiable. Section 2.15-2.18 Homework due on Wednesday |
Section 2.19-2.20, p. 61: #1, 2, 5 Section 2.21-2.24, p. 70: #1, 2, 3, 4(a,b), 6 Additional Problems I. Show that f(z) = x^2 + y ^2 +i(2xy) is only differentiable along the x-axis. II. Given f(z) = x^2-x+y +i(y^2-5y-x) , determine where it is differentiable. Section 2.15-2.18 Homework due on Wednesday |
| 02/25 |
Section 2.24-2.25, p. 77: #1, 2, 4, 5 The Exponential Function Section 3.29, p. 93: #1, 3, 6, 8, 10 |
Section 2.25-2.26, p. 76: #1, 2, 4, 5 The Exponential Function Section 3.30, p. 89: #1, 3, 6, 8, 10 |
| 02/27 |
Section 3.30-3.31, p. 97: #1, 2 | Section 3.31-3.33, p. 95: #1, 2 |
| 03/02 |
Section 3.30-3.31, p. 97: #[#5 from
9th edition], 9 Additional Problem I, II, & III (on assignment sheet) More Logarithmic Properties and The Complex Power Function Section 3.32, p. 100: #2, 5 |
Section 3.31-3.33, p. 95: #1, 2, 5,
10 Additional Problem I, II, & III (on assignment sheet) More Logarithmic Properties and The Complex Power Function Section 3.34, p. 100: #1, 4 |
| 03/04 |
Section 3.33, p. 104: #1, 2, 3, 4, 6 |
Section 3.35-3.37, p. 103: #1, 2, 3,
4, 6 |
| 03/06 |
Section 3.33, p. 104: #7, 9 Section 3.34, p. 109: #4(a), 5, 6, 8, 9, 10 |
Section 3.35-3.37, p. 103: #7, 9 Section 3.38, p. 107: #4(a), 5, 6, 8, 9, 10 |
| 03/09 |
Section 3.34, p. 109: #11, 14, 15, 16 Section 3.35, p. 111: 1, 2, 6, 7[typo on 7b: RHS = -cosh z], 8(coshz only), 15, 16 |
Section 3.38, p. 107: #11, 14, 15, 16 Section 3.39, p. 111: 1, 2, 6, 7[typo on 7b: RHS = -cosh z], 8(coshz only), 16, 17 |
| 03/11 |
Review for Exam 1 Spring 2013 Exam 1 (Don't do #9b) Exam 1 Review Sheet Exam 1 Review Sheet w/ some answers Exam 1 Formula Sheet |
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| 03/13 |
Exam 1 |
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| 03/16 |
Inverse
Trigonometric and Inverse Hyperbolic Functions Section 3.36, p. 114: #1(sketch values in the complex plane), 2, 3, 5 |
Inverse
Trigonometric and Inverse Hyperbolic Functions Section 3.40, p. 114: #1(sketch values in the complex plane), 2, 3, 5 |
| 03/18 |
Additional Problem given at the end of Inverse
Trigonometric and Inverse Hyperbolic Functions Section 4.37-4.38, p.121: #1, 2, 3, 4 |
Additional Problem given at the end of Inverse
Trigonometric and Inverse Hyperbolic Functions Section 4.41-4.42, p.119: #1, 2(b,c,d), 3, 4 |
| 03/20 |
Review
of Integration Homework from Calculus Book (Stewart 6th ed.) Section 17.2, p. 1079: #1, 5, 7, 11, 15 [Copies handed out in class] |
(same) |
| Spring Break ! |
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| 03/31 |
Contour
Integrals -- Have done for Wednesday Section 4.40-4.42, p. 135: #1, 2, 3, 4, 6, 7 |
Contour
Integrals -- Have done for Wednesday Section 4.44-4.46, p. 132: #1, 2, 3, 4, 6, 7 |
| 04/01 |
Section 4.40-4.42, p. 135: #5, 10 Section 4.48-4.49, p. 160: #1 |
Section 4.44-4.46, p. 132: #5, 13 Section 4.52-4.53, p. 159: #1 |
| 04/03 |
Easter Break -- No Class! |
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| 04/06 |
More
on Antiderivatives, Independence of Path, and
Cauchy-Goursat Theorem, Part I Section 4.44-4.45, p. 149: #1, 2, 3 |
More
on Antiderivatives, Independence of Path, and
Cauchy-Goursat Theorem, Part I Section 4.48-4.49, p. 147: #1, 2, 3 |
| 04/08 |
Quiz 2 Section 4.44-4.45, p. 149: #4, 5 |
Quiz
2 Section 4.48-4.49, p. 147: #4, 5 |
| 04/10 |
More
on Antiderivatives, Independence of Path, and
Cauchy-Goursat Theorem, Part II Section 4.46-4.49, p. 160: #2, 3, 5, 6 |
More
on Antiderivatives, Independence of Path, and
Cauchy-Goursat Theorem, Part II Section 4.50-4.53, p. 159: #2, 3, 5, 6 |
| 04/13 |
Section 4.43, p. 140: #1, 2, 5 04/06-04/10 Homework due on Wednesday |
Section 4.47, p. 138: #1b, 2, 5 04/06-04/10 Homework due on Wednesday |
| 04/15 |
Extension
of the Cauchy Integral Formula Section 4.50-4.52: #1-5 (all), 7 |
Extension
of the Cauchy Integral Formula Section 4.54-4.57, p. 170: #1-5(all), 7 |
| 04/17 |
Section 5.55-56, p. 188: #4, 6-8(Use
theorems for real-valued series) |
Section 5.60-61, p. 185: #4, 6-8(Use theorems for real-valued series) |
| 04/20 |
Section 5.55-56, p. 188: #4 Geometric Series Additional Homework |
Section 5.60-61, p. 185: #4 Geometric Series Additional Homework |
| 04/22 |
Section 5.57-5.59, p. 195: #1, 2, 3,
8 Proof of Taylor's Theorem |
Section 5.62-5.65, p. 195: #1, 2, 3,
4 Proof of Taylor's Theorem |
| 04/24 |
Exam 2 Review Sheet Exam 2 Review Sheet w/ some answers Exam 2 Formula Sheet |
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| 04/27 |
Exam 2 |
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| 04/29 |
Proof
of Taylor's Theorem Section 5.60-5.62, p. 205: #1, 2[Hint: e^z = e^(z+1-1)], 3 |
Proof
of Taylor's Theorem Section 5.66-5.68, p. 205: #1, 2, & #2 from 8th edition [Hint: e^z = e^(z+1-1)] |
| 05/01 |
Example:
Laurent Series Expansion Section 5.60-62, p. 205: #4, 6, 7(1<|z| < infinity only), 8 |
Example:
Laurent Series Expansion Section 5.66-69, p. 205: #4, 6, 3, 7 |
| 05/04 |
Section 6.72, p. 243: #1, 2, 3
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Section 6.79, p. 242: #1, 2, 3 |
| 05/06 |
Section 6.71, p. 239: #1(a-c), 2 Section 6.74, p. 248: #1, 2, 3, 4, 5 |
Section 6.77, p. 237: #1(a-c), 2 Section 6.81, p. 246: #1(b,c,d), 2, 4, 5, 6 |
| 05/08 |
Section 6.76, p. 255: #1(a), 2, 3, 4 Finish Improper Integrals (Calculus II Review) for Monday |
Section 6.83, p. 253: #1, 3, 4, 5 Finish Improper Integrals (Calculus II Review) for Monday |
| 05/11 |
Start Section 7.78-79 -- No New Homework 05/06 Homework due on Wednesday 05/13 |
Start Section 7.85-86 -- No New Homework 05/06 Homework due on Wednesday 05/13 |
| 05/13 |
Section 7.78-79, p. 267: #1, 2, 5, 6,
8[See hint] Examples: Evaluation of Improper Integrals |
Section 7.85-86, p. 264: #1, 2, 6, 7,
9[See hint] Examples: Evaluation of Improper Integrals |
| 05/15 |
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| Click link for Finals Week Schedule and Office Hours | ||
| 05/18 |
Monday Reading
Day Office Hours 1:00-2:00pm |
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| 05/19 |
Tuesday Office Hours 12:00-1:00pm |
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| 05/20 |
Wednesday Office Hours 10:00-11:00am Optional Review Session 3:30-4:30pm |
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| 05/21 |
Thursday Office Hours 3:30-4:30pm |
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| 05/22 |
Friday Comprehensive Final Exam 10:30-12:30 |
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