| MAT 1332 C |
MAT 1332 B |
MAT 1332 D |
|
| Professor |
Frithjof Lutscher | Robert Smith? (the question mark is part of my name) |
Jing Li |
| Office |
585 King Edward (KED), Room 203 C | 585 King Edward (KED), Room 205 G |
585 King Edward (KED), Room 204 B |
| Phone |
562-5800 x3510 | 562-5800 x3864 | 562-5800 x2103 |
| Email |
flutsche (at) uottawa.ca | rsmith43 (at) uottawa.ca | jl3 (at) uottawa.ca |
| Lectures |
Mondays 10:00-11:30 Wednesdays 8:30-10:00 |
Mondays 10:00-11:30 Wednesdays 8:30-10:00 |
Mondays 17:30-19:00 Wednesdays 17:30-19:00 |
| Location |
MNT 202 |
LMX 122 |
MCD 146 |
| Office hours |
Mondays 3:30-4:30 or by appointment |
Tuesdays 3:30-4:30 or by appointment |
Tuesdays 11-12 or by appointment |
Texbook: Modeling the Dynamics of Life. Calculus for Life Scientists by Frederick R. Adler (Custom Edition). This is the same book that was already used for MAT 1330 in the Fall term 2008. Alternatively, the regular second edition of Modeling the Dynamics of Life. Calculus and Probability for Life Scientists by Frederick R. Adler is also okay.
(The textbook is available at the
student-owned Agora
bookstore.)
Lecture
notes: Additional notes for material that is not covered in the
textbook will be available through the website (below).
Calculators: Only the faculty-approved model TI 30 (and equivalent) are permitted on midterms and the final exam.
Course Content: Roughly, we will cover sections 4.4-4.7, all
of chapter 5, as well as selected other topics. Lecture note for these
additional topics will be available through this website in the table
below.
Help Centre: Marion 021, Monday through Thursday: 10:00-7:00,
Fridays 10:00-3:00. During the Study break: 10:00-3:00.
MAT 1332 C |
MAT 1332 B |
MAT 1332 D |
| DGD 1 Thursday,
11:30-13 FTX 227 DGD 2 Thursday, 11:30-13 CBY B012 (Questions about DGD 2 to: jalsm084 (at) uottawa (dot) ca) DGD 3 Thursday, 17:30-19 TBT 070 DGD 4 Friday, 11:30-13 MCD 121 |
DGD 1
Thursday, 11:30 - 13:00
CBY D103 DGD 2 Thursday, 11:30 - 13:00 CBY D207 DGD 3 Thursday, 17:30 - 19:00 DMS 1140 DGD 4 Friday, 11:30 - 13:00 SMD 224 |
DGD 1 Thursday 11:30-13:00
LPR 155 DGD 2 Thursday 17:30-19:00 DMS 1110 |
There will be two midterms and a final exam, as
well as regular assignments. Assignments will be posted on
this website in the table below. NOTE that assignments cover the
material of several classes each. You will NOT be able to do an
assignment properly in a single afternoon or night. The problems in the
assignments give you a good idea of the type of problems in the tests
(but the ones on the tests will tend to be easier).
There will be no make-up tests. If you miss a test and you bring a
doctor's note, the weight of the test will be carried to the final exam.
Assignments will be due at the beginning of class. Late assignments
will not be marked.
Assignments will be returned in the DGD you are registered in. Please
make sure your assignment is stapled (if more than one piece of paper)
and has your name, student number and DGD written CLEARLY on the front.
The weighting of the course components will be as follows:
| Assignments | 10% (total) |
| Midterms | 20% each |
| Final exam | 50% |
| Week |
Date |
Material covered (numbers refer to sections in the textbook) Additional Material (Notes) will be posted here |
Suggested Exercises (numbers refer to exercises in the textbook) |
Assignments |
Solutions |
| Download
Notes part 1 here |
|||||
| 1 |
Jan 7 |
4.4 plus: arctan function (Notes pages 2-3) |
4.4: 1, 3, 5, 7, 9, 11, 13, 15, 25, 27, 33 | Assignment
#1 due Jan 21 Integration I Section B Section C Section D |
|
| 2 |
Jan 12 |
4.5 |
4.5: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39 | ||
| Jan 14 |
4.6 plus: integrals and volumes (Notes pages 3-6) |
4.6:
1, 3, 5 (no graphing necessary), 7, 9, 11, 13, 15, 29, 31, 33 see also the worked examples in the Notes |
Solutions
|
||
| 3 |
Jan 19 |
Partial fractions (Notes
pages 7-14) |
Notes page 10 | Assignment
#2 due Jan 28 Integration II Section B Section C Section D |
|
| Jan 21 |
4.7 (excluding "leading
behavior") |
4.7:
5, 7, 9, 11, 13, 19, 21, 27, 29 See these corrections to some textbook exercises |
|||
| 4 |
Jan 26 |
5.1 (excluding "Euler's method") |
5.1:
1, 3, 7, 15, 17, 23, 25, 27, 29, 33, 35, 39 |
||
| Jan 28 |
5.4 |
5.4:
3, 5, 11, 13, 15, 19, 25, 27 |
Solutions |
||
| 5 |
Feb 2 |
5.2, 5.3 |
5.2: 1, 3, 5, 7, 9, 15, 17, 25, 29,
33, 35, 39 5.3: 1, 13, as many as possible out of 21-39 (these are related to the ones from 5.2) Click here for a java-applet to draw slope fields, or here for a more elaborate applet tool (DFIELD). You can explore Euler's method for the exponential growth and the logistic model. |
Assignment
#3 due Feb 9 ODEs Section B Section C Section D |
|
| Feb 4 |
5.2, 5.3 and Euler's method |
Solutions | |||
| 6 |
Feb 9 |
5.5 |
5.5:
1-4, 21, 23, 25, 33 The Romeo and Juliet example |
||
| Feb 11 |
Midterm #1 |
Material: everything up to Feb 4, excluding Euler's method. More detailed: 4.4, 4.5, 4.6, 4.7 (not "leading behavior") 5.1, 5.4, 5.2, 5.3 (not "Euler's method") partial fractions, integrals and volumes There is a total of 7 questions on the midterm. |
Solutions
for sections B,C Solutions for section D |
||
| 7 |
Reading week Feb 16-20 |
||||
| Lecture notes for Complex Numbers and Linear
Algebra |
|||||
| 8 |
Feb 23 |
Complex numbers |
Practice Problems for all of these topics are in the lecture notes. In addition, any first-year textbook on linear algebra will provide you with lots of extra exercises. The forest succession example to play with. |
Assigment
#4 due Mar 11 Linear Algebra I Section B Section C Section D |
Solutions |
| Feb 25 |
Linear Algebra I: Linear systems, Gauss algorithm |
||||
| 9 |
Mar 2 |
Linear Algebra II: Matrices and operations |
|||
| Mar 4 |
Linear Algebra III: Inverse matrices and determinant |
Assignment
#5 due Mar 23 Linear Algebra II Section B Section C Section D |
Solutions |
||
| 10 |
Mar 9 |
Linear Algebra IV: Eigenvalues and eigenvectors |
|||
| Mar 11 |
Linear Algebra V: Markov Chains |
||||
| Lecture notes for Functions of several
variables |
|||||
| 11 |
Mar 16 |
Functions of several variables I: Definitions, level sets |
A few practice problems are posted here. |
||
| Mar 18 |
Functions of several variables
II: partial derivatives |
||||
| 12 |
Mar 23 |
Functions of several variables
III: Jacobi matrix |
There will be no more assignments to hand in. |
||
| Mar 25 |
Midterm #2 |
Midterm
Solutions for B,C Solutions for D |
|||
| Lecture notes for systems of differential
equations Additional notes from previous years See also TEXTBOOK sections 5.5-5.7 |
|||||
| 13 |
Mar 30 |
Linear systems of differential
equations |
See
lecture notes and this old assignment Also most of the exercises in sections 5.5-5.7 are helpful, except for the ones using Euler's method This link gives you a web-based applet tool (PPlane) to draw phase-planes and solutions. Excel spreadsheet for competition Excel spreadsheet for Predator-prey systems |
||
| April 1 |
Systems of differential
equations I: Phase plane and linearization |
||||
| 14 |
April 6 |
Systems of differential
equations II: Competition |
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| April 8 |
Systems of differential
equations III: Predator and Prey |
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| From
April 14-27, the Math Help Centre will be open 10am - 5pm daily. On
April 28 and 29, the hours are 10am - 3pm. |
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| Office
hours prior to the Final exam MAT 1332 B: Monday April 27, 3-5pm MAT 1332 C: Thursday April 23, 11-12:30, Friday, April 24 2:30-4 MAT 1332 D: |
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| April 28 |
Final exam |
All the material covered in
class will be on the final exam, except for - comparison principle - Euler's method In preparation for the final exam, we recommend to go over all the assignment and midterm questions as well as these additional practice problems with solutions. |
|||
| Week |
Topics and materials |
| 1 |
Review techniques of integration
(integration by parts, substitution) Riemann sums |
| 2 |
Fundamental theorem Integrals, Areas and Volumes |
| 3 |
Partial fractions Improper Integrals |
| 4 |
Improper Integrals Solving Separable Differential Equations |
| 5 |
Steady states and stability Phase line diagrams Solution curves |
| 6 |
Euler's method 5.5 |
| 7 |
Reading week |
| 8 |
Complex numbers Gauss algorithm |
| 9 |
Matrix operations, inverses and
determinants |
| 10 |
Eigenvalues, -vectors and Markov
chains |
| 11 |
Partial derivatives |
| 12 |
Jacobi matrix, zero sets of
functions |
| 13 |
Linear systems of equations,
Phase plane |
| 14 |
End of classes |