MAT244 Ordinary Differential Equations

Fall 2014

Sections

L0101Y   Mon, Tue, Thu 10—11 SS 2102, Sidney Smith

L5101Y   W18—21 SS 2110, Sidney Smith

• instructor: Victor Ivrii
• office: HU 1008, Huron 215
• phone: 416-978-4031
• email: ivrii@math.toronto.edu
• office hours: Wed 14:30–15:30 and 17:15–17:45 in the office, and Wed 21:00–21:30, after the lecture, in Sidney Smith lobby, or "Study zone" at Sidney Smith (Huron side)

L5102Y   18—21 LM 161,

• instructor: Pierre Milman
• office: BA 6230, Bahen Centre
• phone: 416-978-4778
• email: pierre@math.toronto.edu
• office hours: Tue 16:30—17:30 in the office, and Wed 21:00–21:30, after the lecture

Note: Students can go to any instructor during his office hours, not only to instructor of their section.

Teaching Assistants

• e-mail: il.chen@mail.utoronto.ca
• Office hours: Mon 17:00—18:00, BA6283
• Special office hours (all in BA6283)
• November 10, 14:00-15:30
• November 10, 17:00-19:30
• November 11, 9:00-10:00
• November 11, 14:00-16:30
• November 11, 17:30-19:30
• November 13, 16:00-19:30
• November 14, 13:00-14:00 (with Quiz 4 marked)
• November 14, 18:00-20:30 (with Quiz 4 marked)
• e-mail: andrew.colinet@mail.utoronto.ca
• Office hours: Fri 17:30—18:30, BA6283
• Special office hours (BA6283)
• September 26, 18:30—19:30
• October 03, 18:30—19:30
• October 20, 18:30—20:30
• October 21, 09:00—10:00
• October 21, 15:30—16:30
• October 21, 17:30—20:00t;
• October 23, 16:00—20:30
• October 24, 18:30—20:30
• October 27, 18:30—20:30

• office: SS 622 (Sidney Smith)
• phone: 416-978-2967
• e-mail: fang.gu@utoronto.ca
• No regular office hours
• Special office hours:
• October 27, 15:30—17:30, BA4010 (with Quiz 3 marked)
• November 17, 15:30—17:30, BA6283
• November 27, 16:00—17:00, BA6283
• November 28, 15:00— 17:00, BA6283
• December 01, 09:00—12:00, BA6180 (with TT2 and Quiz 5)
• December 01, 17:00—19:00, BA6180 (with TT2 and Quiz 5)
• December 02, 14:00—16:30, BA6283
• December 03, 10:00—15:00, BA6180
• December 04, 10:00—11:30, BA6283

2014-2015 Timetable Description

First order ordinary differential equations: Direction fields, integrating factors, separable equations, homogeneous equations, exact equations, autonomous equations, modeling. Existence and uniqueness theorem. Higher order equations: Constant coefficient equations, reduction of order, Wronskian, method of undetermined coefficients, variation of parameters. Solutions by series and integrals. First order linear systems, fundamental matrices. Non-linear equations, phase plane, stability. Applications in life and physical sciences and economics.

• Prerequisite: MAT135Y1/(MAT135H1, MAT136H1)/MAT137Y1/MAT157Y1, MAT223H1/MAT240H1
• Corequisite: MAT235Y1/MAT237Y1/MAT257Y1
• Exclusion: MAT267H1
• Distribution Requirement Status: This is a Science course
• Breadth Requirement: The Physical and Mathematical Universes (5)

Learning Resources

• Chapter 1 and preceding material are available for free preview at Amazon.

• Student Solutions Manual: Student Solutions Manual to accompany Boyce Elementary Differential Equations 10th Edition and Elementary Differential Equations w/ Boundary Value Problems 8th Edition–also new edition (optional).

• This class in the previous years

 2013 Spring: 2013 Fall: 2012 Spring: 2012 Fall: 2011 Spring: 2010 Spring:
• Plotters (usually you need to have Java enabled)

Informations about tests and all the announcements could be accessed through the Forum Announcements board.

Coverage

We will cover (in full or partially) chapters 1, 2, 3, 4, 5, 6, 7 and 9.

Note: Chapters 5 and 6 will be covered (if at all) at the very end of the course.

Tests and Marking Scheme

Tests

(all sections)
• Test 1 October 8 (Wednesday), 20:30—21:15, EX 100
• MidTerm October 29 (Wednesday), 20:00—21:30, EX 100
• Test 2 November 19 (Wednesday), 20:30—21:15, EX 100

Quizzes

There also will be 4—5 short quizzes from the list of Assigned Exercises. Quizzes will be given without advance warning: Surprise, surprise, we have quiz today! Quizzes include only problems from the assignments.

Missing work

There will be no make up (even) for a legitimately missing work, but the remainder will count heavier. Loss of work must be reported the day of the distribution of the respective work.

Final mark

(Only for those who legitimately missed less than 50% of the term marks; term grade will not be assigned to other students)

Your Term and Final grades will be computed as follows: \begin{gather} FG= 0.6 \cdot \max\{TG ; FE \} + 0.4 \cdot \min\{TG ; FE\} \tag{Final Grade}\qquad\qquad\\[3pt] TG=\min \{0.4 \cdot MT + 0.2 \cdot T_1 + 0.2 \cdot T_2 + 0.2\cdot Q +B ; 100\}\qquad\qquad \tag{Term Grade} \end{gather} where $TG$, $MT$ and $FE$ are your Term Grade, Midterm and the Final exams marks, $T_1$ and $T_2$ are your preparatory tests marks, $Q$ is the total of your quiz marks, and $B=\min\{B_{\text{class}}+B_{\text{web}},6\}$, where $B_{\text{class}}=0, \ldots, 4$ and $B_{\text{web}}=0 , \ldots , 4$ are the bonus points for the activity in the class and, respectively, contributions to the forum, assigned by instructors.