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INSTRUCTOR: |
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Mark Pernarowski (Schedule) |
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TEXTBOOK: |
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Mathematical Models in Biology, Leah Edelstein-Keshet |
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GRADE: |
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Grades will be recorded in D2L. The course % will determined as follows:
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Percent |
Date |
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(takehome)
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(takehome)
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Conversion to letter grade: |
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| A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |
D |
F |
| 90-100 |
87-89 |
84-86 |
80-83 |
77-79 |
74-76 |
70-73 |
67-69 |
60-66 |
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HOMEWORK: |
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Homework and due dates will be posted here as class develops. Homework assignments
will have varied lengths and difficulty hence will have different raw scores. The
HW% for the final grade will be the % from the sum of all the raw HW scores:
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Due Date |
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Discrete linear population models |
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Tues, Feb 7 |
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Discrete density Dependent Population Models |
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Tues, Feb 21 |
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Phase Planes and chemostat model |
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Tues, Mar 7 |
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Midterm |
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Take-home |
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Tues, Mar 28 |
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SIR models and Law of Mass Action |
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Tues, Apr 11 |
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Chemical Kinetics |
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Tues, Apr 18 |
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Final |
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Take-home due to me in class Wil 1-130
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Thur 5/11
12-1:50pm
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NOTES |
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Periodically I will post handwritten and/or typeset lecture notes here.
| M430_01 |
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First Order Linear Difference Equation Models |
| M430_02_new |
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Second Order Linear Difference Equation Models |
| M430_03 |
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First Order Nonlinear Difference Equation Models |
| M430_04 |
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Planar Systems: Mathematical Theory |
| M430_05 |
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Nutrients and Chemostat population models |
| M430_06 |
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Chemostat Model Analysis |
| M430_07 |
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Predator Prey model (with/without density dependence) |
| M430_08 |
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Competition Models |
| M430_09 |
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SIR, SIRS epidemic models |
| M430_10 |
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Buffering, Michaelis Menten kinetics |
| M430_11 |
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Competetive Inhibition, Cooperativity, Insulin secretion.... |
| M430_12 |
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Conservation Laws, PDEs, models, steady states,... |
| M430_13 |
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Diffusion, Rx Diffusion, membrane transport, walks,... |
| M430_14 |
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Transmembrane Ionic currents |
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BOOK |
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Notes (>pg 18) and some HW(at start) & HW, Exams and many solutions (zip file) |
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MATLAB |
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Matlab is a program used primarily for solving linear and nonlinear systems. In addition
to being able to solve most (large) linear algebra problems it can also be used to
solve ordinary and partial differential equations.
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getting matlab |
a link to downloading matlab on MSU campus. You will need
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intro |
of campus link with simple introduction to syntax in matlab |
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mathworks |
company that develops and maintains matlab |
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To download matlab you'll need your first.last@ecat1.montana.edu campus email.
Matlab code we will use to approximate solutions of biological models will be posted
here as the course develops:
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A convenient matlab package for solving a large class of PDE problems |
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is pdepe |
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pdex1.m code for solving heat equation, Neuman BC |
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pdexbudworm.m code for diffusive budworm population |
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WAGA |
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Please inform us of any ADA Web Accessibility issues to the Course Instructor. Specifically,
let us know of any perceived Section 508 and/or WCAG 2.0 AA issues. |
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