ODEs

Final Exam Mastery Prep for McGill Math Classes

… are on their way! Registration is now open for the Math 133 Linear Algebra and Geometry Final Exam Prep Sessions, as well as Math 122 Calculus for Management. See the Math 133 and Math 122 pages, respectively, to register: spots are limited, so register right away to guarantee your spot – you’ll be glad you did!

Registration for Math 139, Math 140, Math 263 and Math 315 will be up in the next couple days, followed shortly thereafter by Math 222 and Math 262 – so check back soon if you’re counting on joining us for those sessions!

McGill MATH 263 – Final Exam Review

As promised, registration for McGill Math 263 ODEs for Engineers is now open. Full details below; register here. NB. the following outlines are approximate and tentative and subject to review and requests from participants; check the Math 263 page for updates.

Mastery 1: Methods for 1st and 2nd Order Linear ODEs

Thursday Dec. 4th, 4:45-7:45pm (M3-37A; $60*): in this three hour session, we’ll review the techniques for solving first and second order ODEs, focusing on representative practice problems. Topics will include: integrating factors; separable equations; autonomous equations; exact equations; exact equations requiring an integrating factor; the method of undetermined coefficients; the method of variation of parameters. This will include a very quick overview of the three types of 2nd order, constant-coefficient DEs, but basic familiarity will be assumed so that we can focus on advanced applications of the less familiar topics. More information will be provided upon registration. *Discounts available, see here for details.

Mastery 2:  Euler, Series, Frobenius & Bessel

Sunday Dec. 7th, 7:15-10:15pm (M3-37A; $60*): in this second three hour session, we’ll continue the review of the various methods for solving DEs with further examples applied to non-homogenous equations, and special focus on their application to higher-order DEs. The rest of the session will look at the series solution of the general, homogenous, 2nd order DE about ordinary points; general Euler equations and Frobenius series solutions about regular singular points. Familiarity with the 3 basic cases for Euler’s equations will be assumed and additional preparation will be recommended to help you get the most out of the session. *Discounts available, see here for details.

Mastery 3:  Laplace & Systems of Equations (all types)

Wednesday Dec. 10th, 6-9pm (M3-37A; $60*): in this third three hour session, we’ll look at exam-level Laplace Transform problems with special emphasis on finding transforms and their inverses (although we will also solve a few advanced IVPs to illustrate the complete method), including step functions, discontinuous forcing functions, impulse functions, the convolution of two functions and combinations thereof. Finally, the balance of the session will focus on the solution of linear systems of DEs and all cases with which you should be familiar for the exam (exact details will be provide upon registration). *Discounts available, see here for details.

Mastery 4:  Mock Exam

Thursday Dec. 11th, 1-4pm (M3-37A; $60): This last session will attempt to recreate some of the stress of the exam by presenting you with a mock final in an exam-like setting. Some of the stress of your exam will be approximated by providing an insufficient amount of time to solve the questions, where your goal will be to identify the correct method and setup the appropriate equations and/or anticipate the general form of the solution; we will then solve the questions together. Questions will not be grouped by theory or content, but will reflect the realistic structure of the exam. Additional variations on each question will be provided to help you practice sections that proved most challenging. *Discounts available, see here for details.

MATH 263 Webwork Session

McGill MATH 263 Ordinary Differential Equations for Engineers – don’t let webwork get you down. This Thursday Nov. 13th from 6-8pm we’ll whip through your webwork assignment so you can finish well before midnight. We also have a weekly MATH 263 tutorial on Saturdays from 2:30-4:30pm where we cover all the theory you need to know to ace the exam, in an easy-to-understand way. Special promotion: register for your first weekly MATH 263 tutorial at the same time as the Webwork Session and save $5!

Need help with MATH 262 Assignment 3 as well? Sign up for both sessions & save $5 off each!

McGill MATH 263 Quiz 2 Prep

ODEs for Engineers: Prep Session Tuesday Night

McGill MATH 263 Ordinary Differential Equations for Engineers students come join us Tuesday night for a systematic and comprehensive review of the material that will be covered on your second quiz. Full details below. Register at this link or under the MATH 263 tab, above.

  • Quiz 2 Prep:
    • Theory: Abel’s Theorem & the Wronskian. Second-Order, Linear ODEs (Fundamental Sets of Solutions; General Solutions).
    • Homogenous Equations: Constant Coefficients with Distinct, Complex and Repeated Roots); Reduction of Order.
    • Non-Homogenous Equations: Undetermined Coefficients & Variation of Parameters.
    • Higher-Order Equations (same content as for second-order ODEs)
    • Series Solutions (& basic manipulation of power series).

The session will run Tuesday evening October 28th, 2014 from 8:30-11pm and will place an emphasis on solving problems and applying the theory. The cost will be $50 for the 2.5h, including notes. RSVP here.

First Timer’s Discount!

If this is your first time attending one of our sessions, save 40% on the quiz prep session and only pay $30.