MATH 315A: Ordinary Differential Equations
Course Description
 INSTRUCTOR:
D. Jakobson
LECTURES: TR 10:0011:30, ARTS 145
Office: BH1212
Office Hours: Tuesday 45pm, Wednesday 12pm
Week of Oct. 2024 only: Tuesday 1:302:30pm, Wednesday 1112am
Tel: 3983828
Email: jakobson@math.mcgill.ca
Web Page: www.math.mcgill.ca/jakobson
 UNDERGRADUATE STUDENT ASSISTANT
Rachna Matabudul
OFFICE HOURS: Thur 18:0019:00, BURNSIDE 1205
Email: rachna.matabudul@mail.mcgill.ca
 TEXT: Differential Equations and Boundary
Value Problems (3rd ed.) by Nagle, Saff and Snider.
 SYLLABUS: The course will cover (parts of) chapters 1,2,4,6,7,8
of the Text. Contents: existence theorem. 1st order equations:
separable, exact and linear equations, integrating factors, substitutions,
homogeneous and Bernoulli equations. 2nd and higher order linear
equations: fundamental solutions to homogeneous equations, reduction of
order, the case of constant coefficients, method of undetermined
coefficients, variation of parameters, CauchyEuler equations. Laplace
transform: basic properties, inverse transform, solving IVPs, step
functions, Dirac delta, convolutions. Series solutions: ordinary and
singular points, recurrences, method of Frobenius, special functions.
Elementary numerical methods (as time permits).
 ASSIGNMENTS: There will
be several assignments, both written and webwork. Late assignments
will not be accepted.
 MIDTERM: There will an inclass midterm on October 30.
It will be held at the same time and place as the regular lecture.
Solutions: in ps and pdf
 MIDTERM REVIEWS: Monday, October 27, Burnside 1205, 6pm.
Tuesday, October 28, Burnside 1205, 6pm.
 FINAL EXAM: There will be a three
hour final exam. It will be held on Thursday, December 18, 9:00am
in GYM
 FINAL REVIEWS: The review before the final will be held on
Dec. 15, 6pm8pm, in Burnside 1205 (or 1214 if 1205 is closed).
 OLD FINALS: Go to
SUMS, then click on "Resources" and on "Math Exam Archive."
 GRADING: If A = assignment mark, M = midterm mark,
E = exam mark and F = final mark (all out of 100), then F is the
larger of (.9E + .1A)
and (.6E + .3M + .1A)
 J. Labute and J.J. Xu's
MATH 261/MATH 325 Lecture Notes

HELPDESK is open in Burnside 911 MondayFriday generally from
12:3016:30 (see their web page for details); you can also ask questions
by email at
helpdesk@math.mcgill.ca
 NOTICE:
McGill University values academic integrity. Therefore, all
students must understand the meaning and consequences of
cheating, plagiarism and other academic offences under the Code
of Student Conduct and Disciplinary Procedures (see McGill web page
on Academic Integrity
for more information).