Date |
Topic |
Reading |
Homework Problems Due |
Jan 18 |
Functions of Several Variables
Fetal weight models
Temperature Plots
Topo Maps (self test)
Level Curve Tutorial at Univ. of Minnesota
Functions of two variables in Mathematica
|
9.1 |
|
Jan 20 |
Plots and Applications, continued |
|
|
Jan 23 |
Partial Derivatives
PDE for Oxygen Transport (See Eqn 2)
PDE's for Dendrite Development
PDE for Gap Gene Dynamics
|
9.2 |
Section 9.1 (p. 484)
# 4, 8, 10, 15, 16, 33, 42
(note error in book's answer to #15) Mathematica assignment due by email |
Jan 25 |
Maxima and Minima
Hardy Weinberg Principle
|
9.3 |
Section 9.2 (p. 495)
# 16, 18, 20, 26, 36, 42, 48, 52
|
Jan 27 |
Multiple Integration |
9.5 |
Section 9.3 (p. 507)
#22, 24, 26, 32 |
Jan 30 |
Multiple Integration, cont.
Extra double integral problems |
9.5 |
Section 9.5 #14, 18, 38, 40, 53, 57
|
Feb 1 |
Systems of Equations |
10.1 |
9.5 #42, 52, 59, 60, 64
|
Feb 3 |
Matrix Algebra |
10.2-10.3 |
Section 10.1 #26, 32, 40, 43, 48 plus balance these chemical equations |
Feb 6 |
Recap and prepare for Review I |
|
Section 10.3 #20, 22, 31, 36, 38, 48 |
Feb 8 |
Recap and prepare for Review I
|
|
|
| Feb 10 |
REVIEW I |
Feb 13 |
Leslie Matrices
Matrix Inverses
Beluga whales; Aging bacteria
|
10.4
|
|
Feb 15 |
Determinants |
10.5 |
Section 10.3 #46 (ignore the hint!)
Section 10.4 #10, 20, 51-55
Worksheet |
Feb 17 |
Eigenvalues and Eigenvectors
TED
Geometric interpretation with Mathematica
|
10.5 |
Determinants |
Feb 20 |
Eigenvalues and Eigenvectors, cont.
Linear algebra movies
|
10.5 |
Section 10.5 #2, 8, 10 |
Feb 22 |
Fitting Curves to Data (duck shape)
|
1.2 |
Matrix animation worksheet |
Feb 24 |
Least Squares (Linear and exponential curve-fitting) |
1.2
|
Section 10.5 #15, 16, 21, 22
(ignore plotting instructions, just show 0.98 is an eigenvalue)
plus Curve-fitting worksheet |
Feb 27 |
Small world networks
Dolphin social networks
PIN1
PIN2
6 degrees
Kevin Bacon
|
p. 601 |
Section 1.2 #7, #9
Two Exponential fits
|
Feb 29 |
Recap and Q&A to prepare for Review II |
|
p. 601 #1-4 and this worksheet |
Mar 2 |
REVIEW II |
Mar 5 - Mar 9 |
SPRING BREAK |
|
|
Mar 12 |
Predator-Prey Models
Hudson Bay Lynx & Hare
Yellowstone Wolves and Aspen Trees
|
Predator-Prey dynamics |
|
Mar 14 |
Interacting Populations in Excel
|
Predator-Prey dynamics |
|
Mar 16 |
Equilibria and Stability |
Predator-Prey dynamics |
Questions 2-5, p. 140 of "Predator-Prey dynamics" (short answers, sketch graphs by hand as needed to illustrate points) |
Mar 19 |
Competition and Infection
HIV model
|
Interspecific Competition and Competitive Exclusion |
Worksheet |
Mar 21 |
Systems of Differential Equations |
11.5 |
Worksheet |
Mar 23 |
Epidemic Models (SIR)
Refined SIR model
|
|
Section 11.5 #6, 8, 10 |
| Mar 26 |
Linear systems of Differential Equations
|
11.4 |
Worksheet |
Mar 28 |
Recap and prepare for Review III |
|
Section 11.4 #10, 14 |
Mar 30 |
Review III |
Apr 2 |
Event Trees and Sets |
12.1 |
|
Apr 4 |
Basic Probability Rules
RFLP genetic test
|
12.2 |
Section 12.1 #38, 42, 50, 57, 58
Section 12.2 #14, 18, 24, 36 |
Apr 6 |
Conditional probability and independent events
|
12.3 |
Section 12.2 #38, 40, 67, 69, 70 |
Apr 9 |
HOLIDAY |
|
|
Apr 11 |
Bayes Rule
Reliability of disease testing
|
12.3 |
Section 12.3 #2, 4, 8, 12, 22, 24, 38, 58 |
Apr 13 |
Discrete Random Variables |
12.4 |
Section 12.3 #25, 26, 28, 30, 32, 51, 53, 62, 64, 65, 66 |
Apr 16 |
Genetics and the Binomial Distribution |
|
Section 12.4 #2, 4, 8, 18 |
Apr 18 |
Binomial Distribution, continued |
|
Worksheet |
Apr 20
|
Continuous Probability Models
Expected Value and Variance |
13.1, 13.2 |
Worksheet |
Apr 23 |
Special Probability Density Functions |
13.3 |
Section 13.1 #14, 24, 28, 29, 30
Section 13.2 #21, 26, 27 |
Apr 25 |
Special Probability Density Functions, cont. |
13.3 |
Section 13.3 #6, 10, 12, 14, 30, 42 |
| Apr 27 |
Recap and prepare for Review IV |
|
Section 13.3 #27, 32, 35, 36, 38 |
Apr 30 |
REVIEW IV |
May 2 |
Final exam preparation |
|
Project topic selection (send full citation by email) |
May 4 |
Final exam preparation & course evaluations |
|
|
May 7 |
Project presentations |
|
|
May 9 |
Project presentations |
|
|
