-- BLOCK I --

The Algebra of the Complex Numbers;
Complex Functions and Analyticity

Lesson #

Date(s)

Section

Homework Assignment

1

Jan. 14

1.1 & 1.2

The Algebra of the Complex Numbers/Point Representation of the Complex Numbers

Read: Course Policies, "A Little History" handout, and Sections 1.1 and 1.2

 To be presented on Fri., Jan. 18: Section 1.1: #4, 25, 30 Section 1.2: #10, 14 Section 1.3: #18, 21 To be collected on Wed., Jan. 16: Section 1.1: #7, 11, 15, 17, 20, 24 Section 1.2: #6, 7c,d,e,g,j, 12 To be collected on Mon., Jan. 21: Section 1.3: #4, 5, 7b,c,e,g 12, 13, 19, 28 Section 1.4: #1b, 2a,b 3b, 4b,c

2

Jan. 16

1.3 & 1.4

Vectors and Polar Forms/The Complex Exponential

3

Jan. 18

1.1-1.4

Student Presentations

4

Jan. 21

1.4 &1.5

Powers and Roots

 To be presented on Fri., Jan. 25: Section 1.4: # 11, 12a Section 1.5: # 17, 18 To be collected on Wed., Jan. 23 Section 1.4: # 5, 10, 17d, 23a Section 1.5: # 4a, 5d,f, 10 To be collected on Fri., Jan. 25 Section 1.6: #3-6, 11, 15, 16

HEADS-UP! There will be a quiz next lesson covering Sections 1.1-1.5.

5

Jan. 23

1.6

Planar Sets

6

Jan. 25

1.7

Student Presentations/The Riemann Sphere

7

Jan. 28

2.1

QUIZ ON COMPLEX ARITHMETIC

Functions of a Complex Variable

 To be collected on Fri., Feb. 1 Section 2.1: #1d,f, 2d,f, 3c, 4, 5, 6

Project 1: Visualizing Functions Distributed - Due Wed. Feb. 6

8
Jan. 30
2.2

Limits and Continuity

 To be presented on Fri., Feb. 1: Section 2.2: #3, 4, 8, 9 To be collected on Mon., Feb. 4 Section 2.2: #7, 11, 13, 17, 20, 21

Read Section 2.3; There will be a quiz covering this section next lesson.

9

Feb. 1

2.2

Limits and Continuity

10
Feb. 4

2.3 & 2.4

READING QUIZ covering Section 2.3 (Analyticity)

Analytic Functions

 To be presented on Mon., Feb. 11: Section 2.3: #2, 3, 4c Section 2.4: #11, 12, 13, 14 Section 2.5: #6, 8, 15 To be collected on Fri., Feb. 8: Section 2.3: #7a,d,e, 9c,d, 11e,f,g,h, 13, 14, 15 Not to be Collected: Section 2.4: #1, 7, 9, 16 Section 2.5: #1c, 2, 3e, 7, 9, 13

11

Feb. 6

2.4

PROJECT # 1 DUE

Cauchy-Riemann Equations

12

Feb. 8

2.5

Harmonic Functions

13

Feb. 11

Student Presentations/Review

STUDY FOR EXAM I!!!

14

Feb. 13

EXAM I

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