Michael A. Warren
Office: 585 King Edward (KED), Room 204B
Phone: 613.562.5864 x2103
E-mail: m(my-surname-here)(at)uottawa(dot)ca
Office hours: Wednesdays 10 - 11 or by appointment
Tuesday July 20, 19:00 - 22: 00 in ART 026.
Midterm Exam 1: Tuesday May 25 in class.
Midterm Exam 2: Tuesday June 29 in class.
Tuesdays 19:00 - 21:00 in CBY room D207
Thursdays 19:00 - 21:00 in CBY room D207
DGD: Thursday 17:30 - 19:00 in CBY room C03
Help center: Monday to Thursday 10:00 - 3:00 in Marion 021
Modeling the Dynamics of Life: Calculus and Probability
for Life Scientists (2nd Ed.) by Frederick R. Adler (Thomson
Publishers, 2005).
I will post all assigments, solutions and additional material in this
space. You should therefore consult this spot frequently.
Syllabus
| Week | Date | Topics covered | Recommended exercises | Assignments | Solutions |
|---|---|---|---|---|---|
| 1 | May 4 & 6 | Riemann sums (4.4), the Fundamental Theorem (start of 4.5) and Inverse trigonometric functions | Odd numbers 1-15, 25, 27 and 33 of section (4.4) and odds 5-39 of section (4.5) | ||
| 2 | May 11 & 13 | Partial fractions (Prof. Lutscher's notes, some additional notes), surfaces of rotation, applications of definite integrals (some notes on substitution) | Odd numbers 7-15, 29-33 of section (4.6) and practice problems from Prof. Lutscher's notes. some additional problems | Assignment #1 (due May 18) | |
| 3 | May 18 & 20 | Improper integrals (4.7 excluding "leading behavior", some notes on improper integrals), Differential Equations (5.1 excluding "Euler's method") | Odd numbers 5-13, 19,21,27 and 29 of (4.7), Winter 2010 Problems #3, Winter 2010 #3 Solutions, Winter 2010 Problems #4, Some additional practice problems | Assignment #1 | |
| 4 | May 25 & 27 | Midterm Exam 1 (May 25), Separation of Variables (5.4), Equilibria (5.2-5.3) | Numbers 3, 5, 11, 13, 15, 19, 25 and 27 of (5.4), Odd numbers 1-9, 15, 17, 25, 29, 33, 35 and 39 of (5.2), 1, 13 and 21-39 of (5.3), Winter 2010 Problems #5, Som additional practice problems | Assignment #2 (due June 3) | Midterm #1 |
| 5 | June 1 & 3 | Stability of Equilibria (5.3), Euler's Method (4.1 and 5.1), Two Dimensional Equations | |||
| 6 | June 8 & 10 | Study break | Assignment #2 | ||
| 7 | June 15 & 17 | Complex numbers, linear systems of equations, Gaussian elimination, matrices (Prof. Lutscher's notes on linear algebra) | See the practice problems in Prof. Lutscher's notes or any elementary text on linear algebra, some additional practice problems | Assignment #3 (due June 22) | |
| 8 | June 22 & 24 | Algebraic operations on matrices, determinants, eigenvalues and eigenvectors, Markov chains. | See the notes or any elementary text on linear algebra for practice problems, some additional practice problems | Assignment #3 | |
| 9 | June 29 & July 1 | Midterm Exam 2 (June 29) | |||
| 10 | July 6 & July 8 | Tuesday: Markov Chains, graphing functions of two variables, Thursday: Partial derivatives, tangent plane, directional derivative, Jacobian. (For more on multivariate calculus see Prof. Lutscher's note, some additional notes) | Some practice problems (possibly for discussion during the DGD) | Assignment #4 (due July 15) | Midterm #2 |
| 11 | July 13 & July 15 | Tuesday: Linear approximation of vector valued functions, linear systems of ode. (See Prof. Lutscher's notes posted last week as well as the following additional notes, here are some notes on multivariate calculus from the Winter 2010 edition of the course and here are notes on linear systems of ode from the same edition of the course. Thursday: Stability of equilibria for systems of ode, linearization, Euler's method. (See Sections 5.6-5.8 of the textbook for more on the phase plane.) | See the notes posted here (and from last week) for practice problems. Review problems from 2009, questions from assignment 4 (2009) and solutions, see the Winter 2010 website for this course for even more practice problems and notes | Assignment #4 |