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Math 36<=
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Spring
2010
Tentative Schedule of Topics and
Examinations
Date &=
nbsp; &nbs=
p; Topic
W Jan 20 =
span>A
problem from microbial genetics: bacterial resistance
F &=
nbsp; Jan 22 =
span>Modeling
bacterial growth: discrete approach
M &n=
bsp; Jan 25 =
span>Logistic
difference equation
W Jan 27 =
span>Numerical
analysis of the logistic equation: Introduction to MATLAB
F &=
nbsp; Jan 29 =
span>Qualitative
analysis of the logistic difference equation: cobweb analysis
M &n=
bsp; Feb 1 Equilibrium
points and stability
W Feb 3 Principle
of linearized stability
F &=
nbsp; Feb 5 Oscillations
and chaos
M &n=
bsp; Feb 8 Modeling
bacterial growth: continuous approach
W Feb 10=
E=
xponential
growth
F &=
nbsp; Feb 12=
L=
ogistic
growth: Qualitative Analysis
M &n=
bsp; Feb 15=
E=
xistence,
uniqueness and long term behavior of solutions
W Feb 17=
R=
eview
F &=
nbsp; Feb 19=
<=
b>Exam
1
M &n=
bsp; Feb 22=
<=
/span>Examples:
Linear first order
models
W Feb 24=
P=
rinciple
of linearized stability
F &=
nbsp; Feb 26=
Q=
ualitative
analysis: equilibrium points, stability and linearized stability
M =
Mar 1 &=
nbsp; Solving the logistic equation
W &nb=
sp; Mar 3 &=
nbsp; Solving the logistic equation (continu=
ed)
F &nb=
sp; Mar 5 &nbs=
p; Random variables and distributions
M =
Mar 8  =
; Probability
distributions in genetics
W Mar
10  =
; Probability
distributions in genetics (continued) =
F &=
nbsp; Mar
12  =
; Probabilistic
models
M &n=
bsp; Mar 15=
Spring Recess
W Mar 17=
Spring Recess
F &=
nbsp; Mar 19=
Spring Recess
M &n=
bsp; Mar 22=
Probabilistic
models (continued)
W Mar 24=
R=
andom
Processes
F &=
nbsp; Mar 26=
Cesar Chavez Day (observed)
M &n=
bsp; Mar 29=
T=
he
Poisson process
W Mar 31=
R=
eview
F &=
nbsp; Apr 2 Exam
2
M &n=
bsp; Apr 5 The
Poisson process (continued)
W Apr 7 Goodness
of fit
F &=
nbsp; Apr 9 Goodness
of fit (continued)
Math 36<=
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sp; =
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Spring
2010
Date &=
nbsp; &nbs=
p; Topic
M &n=
bsp; Apr 12 M=
odeling
the development of resistance
W Apr 14 M=
odeling
the development of resistance (continued)
F &=
nbsp; Apr 16 M=
odeling
the development of resistance (continued)
M &n=
bsp; Apr 19 T=
he
Luria-Delbrück experiment: average number of resistant bacteria
W Apr 21 T=
he
Luria-Delbrück distribution
F =
Apr 23 <=
/span>The Luria-Delbrück distribution:
Goodness of fit
M &n=
bsp; Apr 26 P=
roblems
and examples
W Apr 28 R=
eview
F &=
nbsp; Apr 30 <=
b>Exam
3
M &n=
bsp; May 3 Revi=
ew
W May 5 Revi=
ew
Tu May 11=
Final Examination