Fall 2014
Short link: http://uoft.me/25L
L0101Y Mon, Tue, Thu 10—11 SS 2102, Sidney Smith
L5101Y W18—21 SS 2110, Sidney Smith
L5102Y 18—21 LM 161,
Note: Students can go to any instructor during his office hours, not only to instructor of their section.
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)
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
Informations about tests and all the announcements could be accessed through the Forum Announcements board.
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.
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.
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.
(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.
Please note that