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!

# final

# 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!

# Math 141: Tutorial, Quiz Prep & WebWork #1

McGill Math 141, Cal 2, this is your week to get things moving! Three sessions to help you recover from the busyness of the start of term, get ready for that first quiz, take care of that first webwork *and* keep up with the material so far! & it’ll be e-z! Full details and registration on the Math 141 page.

### Weekly Tutorial #2: Definite Integrals & the FTC

**Friday Jan. 23rd, 5:30-7:30pm (M3-37A; $35/$40/$50*): **this will be the second of 12 weekly tutorials covering all the theory and concepts from Math 141. We’ll be focusing on evaluating definite integrals and their relationship to FTC, as well as developing you intuitive understanding of the FTC. Detailed notes with fully developed solutions to highly representative practice problems included. *****Registration and full details about pricing options on the Math 141 page.

### Quiz #1 Prep Session

**Saturday Jan. 24th, 1:00-3:00pm (M3-37A; $20/$15*)**: this 2h session will whip through the concepts and theory covered by the first 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). Acing quizzes right from the start is an easy way to take off some of the pressure on the final exam. Space is limited. *$20 for non-weekly members; $15 for fully-paid weekly members. Register on the Math 141 page.

### WebWork #1 Workshop: No More Tears

**Sunday Jan. 25th, 1-3pm (M3-37A; $20/$15*): **a 2h session that will whip through problems that are structurally identical to your webwork problems, explaining the theory along the way. You won’t need Wolfram or Yahoo to answer your questions after this session. Save yourself the hours of banging your head against the wall & scouring the internet and get your assignment done quickly (while actually understanding it!). *$20 for non-weekly members; $15 for fully-paid weekly members. Register on the Math 141 page.

# Multivariable Calculus

McGill Math 262 and Math 222, it’s finally your turn – Mastery Sessions start Friday! A super efficient way to review all the material and prepare yourself for the final. Here are the details. Register on the Math 222 or Math 262 pages.

### Mastery 1: – Infinite Series, Vectors & Parametric Functions –

**Friday Dec. 12th, 6:30-9:30pm (M3-37A; $60*): **in this three hour session, we’ll review the techniques for finding Taylor, MacLaurin & Power-Series expansions; focusing on representative exam-level practice problems. Come knowing how to handle basic power series & learn the methods and tricks for advanced questions. We’ll also review solutions to standard vector-geometry problems that have appeared on past finals. Finally, the end of the session will focus on the manipulation of parametric functions (integrals; derivatives; arclength; curvature; torsion; radius of curvature T/B/N etc). You should be familiar with the definitions and their basic application. This session is a great way to refresh on the first half of the class in 3h so you can focus on the multivariable content. *****Discounts available, see below for details. Register on the Math 222 or Math 262 pages.

### Mastery 2: Partial Diff, Multivariate Chain Rule, Implicit Diff & Applications

**Saturday Dec. 13th, 1:00-4:00pm (M3-37A; $60*)**: in this second three hour session, we’ll shift into genuine *multivariable* mode: looking at exam-level chain-rule and implicit diff questions as well as applications of partial differentiation, including finding tangent planes; linearization; identifying critical points of a multivariate function and classifying the extrema of bivariate functions. As with all mastery sessions, the emphasis will be placed on solving exam-level examples and basic familiarity with the theory is assumed. *Discounts available, see below for details. Register on the Math 222 or Math 262 pages.

### Mastery 3: Constrained Optimization (Lagrange) and Multiple Integrals

**Sunday Dec. 14th, 5-8pm (M3-37A; $60*): **in this third three hour session, we’ll look at exam-level constraint problems requiring the method of Lagrange multipliers, with an emphasis on solving the associated non-linear system of equations (many examples will be provided to help with this process). The rest of the session will focus on multiple integrals requiring iterative methods or change of variable & applications thereof. Emphasis will be placed on advanced exam-level problems. Be sure to know how to compute the Jacobian of a change of coordinates, assuming the substitution is provide. Familiarity with polar coordinates is very helpful. *Discounts available, see below for details. Register on the Math 222 or Math 262 pages.

### Mastery 4: Full Review – Mock Exam

**Monday Dec. 15th, 4-7pm (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 nor content, but will reflect the realistic structure of the exam. Additional variations on each question may be provided, where needed, to help you practice sections that proved most challenging. *Discounts available, see below for details. Register on the Math 222 or Math 262 pages.

## Discounts:

It’s simple: the more review you get, the better you’ll do, so for every additional session you register for, the deal gets better:

- 1 session: $60 for 3h, i.e. $20/h – including notes and practice problems;
- 2 sessions:
~~$120~~$110 for 6h, i.e. $18/h – including notes (for each session); - 3 sessions:
~~$180~~$150 for 9h, i.e. $16.5/h (!)- including notes (for each session); - 4 sessions:
~~$240~~$180 for 12h, i.e. $15/h (!!) – including notes (for each session).

Discounts will be applied automatically, additional details and information will be provided in the confirmation email you receive upon registration. Register on the Math 222 or Math 262 pages.

# 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 141 – Crash Course

Panicked about cal 2? Haven’t really started to review yet? No worries – we’ve got you covered :D. We’ll be running a crash-course for MATH 141 starting next Wednesday, April 9th, 2014. The aim of the crash will be to teach you the basics of everything you need to succeed and help you focus your studying most efficiently. The schedule:

**Wednesday April 9th, 7:30-10:30pm – Methods of Integration:**learn to integrate any expression. This session includes >100 examples from past exams as well as a complete summary and accessible explanation of each method of integration.**Thursday April 10th, 7:30-10:30pm – Applications of Integration:**areas, volumes, arc-lengths, surface areas, FTC I&II, MVT. Learn to relate all these subjects to each other and reduce the load on your memory – includes simple explanations that will make the material intuitive and accessible.**Friday April 11th, 7:30-10:30pm – Polar & Parametric Everything:**this session will cover everything from basic derivatives and tangent lines to curve-sketching, areas, lengths, surface area & more. We’ll look at tons of questions from past exams and consider strategies for dealing with these questions.**Saturday April 12th, 3:30-6:30pm – Sequences and Series:**discover the easy way to understand sequences and series. We’ll review the tests for convergence and divergence and explain the logic behind them so that you can develop strong intuition about the behaviour of series. You’ll learn to assess the convergence /divergence of most exam-level series at a glance, as well as how to structure a formal solution.

This a *small group* crash course, which guarantees optimal interaction with the teacher. Sessions are $80/each or all 4 for $210, including detailed notes and tons of practice problems. **For more information or to register, contact us at mcgill.calc.help -at- gmail.com**.

# Cal 2 Mastery Sessions & Quiz 3 Prep

The dates have been set for the **Quiz 3 Prep Sessions** and registration is now open here!

** Annnnnnd fina!!y – they’re here!** Many of you have been keen to register for the

**Mastery Sessions for MATH 141**, leading up to the final exam.

**Registration**is now open

**here**. Space is limited, so register soon.

**Students who register for 3 or more sessions before March 13th will be entered in a draw to win one of five free passes to a homework session (value: $45)!**Financial support is available for a limited number of students. More information about these sessions is available here, send us an email if you have any questions.