-- BLOCK I --

The Algebra of the Complex Numbers;
Complex Functions and Analyticity

Lesson #

Date(s)

Section

Topic/Reading Assignment

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

Read: Sections 1.3 and 1.4

3

Jan. 18

1.1-1.4

Student Presentations

4

Jan. 21

1.4 &1.5

Powers and Roots

Read: Section 1.5
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

Read: Section 1.6

6

Jan. 25
1.7

Student Presentations/The Riemann Sphere

Read: Section 1.7

7

Jan. 28

2.1

QUIZ ON COMPLEX ARITHMETIC

Functions of a Complex Variable

Read: Section 2.1

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

Read: Section 2.2
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

Read: Section 2.3
10
Feb. 4

2.3 & 2.4

READING QUIZ covering Section 2.3 (Analyticity)

Analytic Functions

Read: Section 2.4
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

Read: Section 2.5

13

Feb. 11
Student Presentations/Review

STUDY FOR EXAM I!!!

14

Feb. 13
EXAM I

 
Back to the Kenyon Homepage Back to the Math Homepage Back to JAH's Homepage Back to JAH's Complex Analysis Homepage