Registration is now open for the Math 141 Final Exam Mastery Prep sessions: early-bird pricing is open to weekly members first, but non-weekly members can RSVP and will be assigned spots based on availability (first come, first served). Additional sessions *may* be scheduled if there is sufficient interest. Register now on the Math 141 page or by visiting Math141.com. Best of luck with the last weeks of classes!

# MATH

# McGill Math Tutorials Fall 2016

Another summer that has passed way too quickly *&*nd now the fall semester is getting underway!

Start the new academic year off on the right foot: **register early for the weekly tutorials, quiz prep & midterm review sessions:** across the board, the most frequent comment from members of the Weekly Mastery Lectures is **“I wish I had joined earlier” **– mastering the material in any math class is really just a question of clear explanation and practice, so avoid crashing & cramming when midterms come along: you’ll be glad to have at least your math classes under control!

**Register for** Math 122, Math 123, Math 133, Math 139, Math 140, Math 141, Math 222, Math 262, Math 263, Math 264 or Math 315 on their respective homepage, or get in touch for more info at Help@McGillMathHelp.com – we’re here to help!

# Winter 2016 Sessions

Welcome back!

Only a few days into the winter semester, but things get moving quickly, don’t they?

I’m launching a new site with improved registration interface, over the next month. In the meantime, individual course pages will be updated for temporary use over the course of the week of Jan. 11th.

That being said, I will be running weekly Mastery Lectures for all the usual courses, so if you are interested and would like to register immediately, feel free to use the forms that are currently posted (even if they have not been updated for 2016). If there is no “weekly Mastery Lecture” option, simply leave a comment to let me know.

I’ve also created FB group pages for most of the weekly Lectures. As usual, each group will be launched once we have 9 committed members, so be sure to tell your friends and classmates about the sessions – they will thank you. You can also get in touch with me to help spread the word: with your help, we can get started early and avoid cramming for midterms or assignments etc.

Very much looking forward to working with you all (again!) and trying out some new ideas for helping you understand and succeed!

Best wishes for 2016,

Jacob

# Math 139 Quiz 3

### Math 139 Homepage & Registration Form

This ~2.5h session will cover everything you need to know to ace your third quiz. The focus will be entirely on solving representative quiz-level problems. We will briefly review the necessary theory in an easy-to-understand way, and then see how it applies to the types of questions you can expect to see on your quiz. Despite the brief summaries of the theory, it is expected that students come prepared and with a basic familiarity with the material – the focus will be on probelm-solving.

Topics covered will include: infinite limits; asymptotes; limit-definition of the derivative; rules for differentiation; advanced application of product, chain and quotient rules; implicit differentation; tangent lines; horizontal tangency; application to position, velocity and acceleration, as well as special limits. Click here to go to the Math139.com registration page.

**Cost**: $25 for non-weekly members who register before 9pm Friday; $30 before 5pm Saturday; $35 afterwards, or without a deposit, or at the door (pending space); $20 for weekly members (before Friday 9pm).

**Special offer**: attend the Quiz 3 Mastery Prep Session + Math 139 Mastery Lecture #7 (advanced differentiation: product & chain rule and the general exponential function) for only $45 (for registration before 5pm Friday), $40 afterwards – **limited to 4 spots**.

**Deposit**: to confirm their spot, non-weekly members are required to make a 50% non-refundable deposit. This allows us to guarantee a small group setting where students are able to participate and ask questions.

Deposits can be sent by PayPal or e-transfer to Jacob.Beaudry@mail.mcgill.ca. Via PayPal, please include in the note that it is a non-refundable deposit. Via e-transfer, make the question “Calculus Quiz 3” and the answer “math139” (all lower case, no spaces). Payment can also be made in person between 1-5pm in M3-37A on Saturday.

# Math 141: Quiz 2 Prep

**UPDATE: Additional Quiz 2 Prep Session on Sunday 11am-1pm. **Due to high interest, a repeat of the quiz 2 prep session has been scheduled for Sunday 11am-1pm. Looking forward to seeing you there!

McGill Math 141, Cal 2 – it’s that time again. Quiz 2 is coming up next week & covers a lot more topics that quiz one. So if you need help with substitutions; integration by-parts, combinations of the two; trig-integrals or volumes of revolution, or just want to get that extra edge on the material so you can ace the quiz, then this is the place to start.

### Quiz #2 Prep Session

**Saturday Feb. 14th, 5:00-7:00pm (M3-37A; $25/$20*)**: this 2h session will whip through the concepts and theory included in the second quiz and focus on solving a number of highly representative problems based on quizzes from the previous years (drawing on a bank of >10 years): substitution; by-parts (and combinations of both); trig-integrals & volumes of revolution. Acing quizzes right from the start is an easy way to take off some of the pressure on the final exam. Space is limited and sessions are usually full within 12h of posting. *$25 for non-weekly members; $20 for fully-paid weekly members.

### Math 141 Weekly Tutorial #6: Trig Integrals & Trig-Subs

**Sunday Feb. 15th, 3-5pm (M3-37A): **This will be yet another awesome session covering the concepts and theory associated with the intimidating topic of trigonometric integrals *and* integration via trigonometric-substitution. A clear breakdown of the trig integrals will drastically simplify all those integrals that seem unrelated, & my own unique method of identifying and executing trig subs will actually have you looking forward to these questions on the quiz & final exam! As a **special promotion:** register for both the weekly tutorial and the quiz prep for only $40.

# Winter 2015: Get Started Now

Happy New Year & welcome back for part 2 of the academic grind! I’m currently updating the site & info for all classes, but you needn’t wait for your page to be updated in order to register, just get in touch using one of the contact forms or email me directly if you’re keen to get started soon. The first groups will be up and running this weekend and I expect all classes will be running by the following weekend. Looking forward to another great term working with you all! Stay warm!

# 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.

# Mastery Sessions Registration

They’re here! Mastery Sessions for McGill Math 139 final exam prep; McGill Math 140 final exam prep and McGill Math 141 final exam prep. Everything you need to understand and succeed on your final. Space is limited and sessions usually fill up within ~72h of registration opening. Full details and registration at the links provided. Details for Math 263, 222 and 262 coming soon. Best of luck with the end of term!

# 139 Quiz 4

### McGill Math 139 Quiz 4 Prep:

#### Update: the session is now full & registration has been closed.

This Thursday we’ll meet for ~2h (starting at 7pm) to run through a ton of problems to prep you for the last quiz. Space is limited and registration is first-come, first-served. The session will be $25 if you RSVP, $30 at the door (though I don’t expect there will be room).

# 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!**