Math 439/839 Fall 2005 Syllabus

 

Week

Sections

Topics

Partial Assignment List, Turning in those with *

 

 

 

 

 1

1.1, 1.2

Probability and Communication Channel

1*,2*,3,4*  Due on Monday, August 29

 2

1.3,1.4,1.5

Entropy, Optimal Mean Rate, Lagrange Multiplier Method

p8: 1*, 2* ; p11: 1*, 2*, 3*, 4* ; p16: 1*, 2*, 3*, 4*

Due on Tuesday, Sept. 6

 3

1.5, 1.6

Lagrange Multiplier Method, Channel Capacity

p21: 1*,2*,4*,5*

Due Monday, Sept. 12

 4

1.5, 2.2, 2.3

Channel Capacity, DNA Replication, Replication Capacity

p24:  1*,2*,3*,4*, p34: 1*,2*,3*

Due Wednesday, Sept. 21

Matlab Assignment, Due Wednesday, Sept. 14

 5

2.3, 2.4

Replication Capacity, Sexual Reproduction

p37: 1*,2*,3*; p43: 1*, 2*

Due Wednesday, Sept. 28

 6

3.1, 3.2, 3.3

Spike Information Theory

P49: 1,2,3*,4*,5*; p52: 1,2*,3*,4*; p55: 1*,2*

Due Wednesday, Oct. 5

 

 7

4.1,4.2,4.3

Circuits

P62: 1*; p.67: 1*1,2*,3*

Due Wednesday, Oct. 12

 8

4.3, 4.4,

Nonlinear Circuits, Equivalent Circuits

P68: 5*,6*,7*; p72: 1*, 2*

Due Thursday, Oct. 20

Mid Term Exam

(Friday, On chapter 1, 2, 3)

 9

4.4, 4.5

Equivalent Circuits, numerical methods for differential equations, Neuron Models

P73: 3,4*,5*,6*, 7* (to be assigned)

Due Friday, Oct. 28

10

4.5, 4.6

Numerical methods for differential equations, Neuron Models

Homework Assignment

Due Monday, Nov. 7

 

Bonus Project, 10 points, Due Friday of the 15th week.

 

11

6.1-6.3

Linear Equations, Phase Line and Bifurcation,

Sec.6.1: 1(ii)*, 2*, 3*. Sec6.2: 1*,2*, 3*,4*,5*.

 

Due Wednesday, Nov. 16

12

6.3-6.4

Phase Plane Method

Sec.6.3: 1*,2*,3*,4*

 

13

6.4

Fast-Slow Systems and Time Scale Method

Sec.6.3: 1*,2*,3*,4*

Sec.6.4: 1*,2*,3*,4*

Due Wednesday, Nov. 30.

14

6.5-6.6

Relaxation Oscillations, Linearization,

Hopf Bifurcation

Sec.6.5: 1*,2*,3*

Sec.6.6: 1*,2*,3*,4*,5,6

Due Wednesday, Dec. 7.

15

7.1-7.2

Holling’s Predation Theory,

Efficiency Stabilization Principle

 

16

Final Exam

 

 

 

 

 

 

*Problems to hand in.

Notes: 1. Without permission homework past due date will not be accepted.

           2. Homework without the statements of problem will not be accepted.

Current Week is in Red.

There will be at least one “project’’.  It requires the use of the math computer lab in Avery 18.

 

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Grade Requirement:

 

Hour Exams                                                     100/exam

 

Projects                                                            20/each

 

Seminar Attendance (or substitute)                10/each, 50 total

Mathematical Biology

Seminar and Reading Club

Fall Semester 2005 Schedule

Time and Place: 3:30 pm, Room 118  Avery Hall

       Additional attendance, 2 bonus points each

 

 

Special Event Attendance                                   20

Sir Michael Atiyah ‘s public lecture

Title: "The Nature of Space"

Time: 4:00 pm, Friday, October 21

Venue: Kimball Recital Hall

 

Print out

Seminar attendance check-off sheet

 

HW                                                                   75 – 100 (10/assignment)

 

Final Exam                                                         200

 

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