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!

# Trudeau

# McGill Math 122 Calculus for Management Fall 2014 Final

They’re here: the best final review & prep sessions for MATH 122 Calculus for Management Students at McGill! **We don’t run a “crash course” aimed at helping you just scrape by, we run mastery sessions that assume you’re familiar with the basics, and so aim to help you understand the subtleties that come up in advanced, exam-level applications so you can understand and succeed.** Space is limited, registration is first-come, first-served. Additional dates will be added if there is sufficient interest. See below for descriptions of each of the sessions and information about available discounts.

### Mastery 1: Tuesday Nov. 25th, 6-9pm ($60*)

In this three hour session, we’ll review the application of derivatives to consumer and producer surplus; the optimization of various systems modelled using a single variable; related rates of time-dependent systems, linear-approximation, and the basics of curve-sketching. Each of these sections has a few fairly representative types of problems which, if mastered, will prepare you for related material on your final. Additional practice problems will be provided so that you can get lots of practice with these types of questions well before the exam. *Discounts available, see below for details.

### Mastery 2: Friday Nov. 28th, 5:30-8:30pm ($60*)

In this second three hour session, we’ll look at exam-level questions requiring implicit differentiation (tangent lines; second derivatives, and in combination with related rates). We’ll also practice dealing with advanced derivatives (logarithmic differentiation; general-exponential differentiation; advanced chain-rule with product rule etc); the limit-definition of the derivative; limits themselves – especially as applied to full curve-sketching questions. Additional practice problems, representative of exam-level material will be provided for additional practice. *Discounts available, see below for details.

### Mastery 3: Friday Dec. 5th, 5:30-8:30pm ($60*)

In this third three hour session, we’ll take your integration skills to the next level; helping you identify the correct method of integration and how to approach every integral systematically. Then, we’ll look a large sampling of exam-level improper integrals, including a list of ”classic” questions that you should know how to solve. Finally, we’ll solve some advanced area & volume-of-revolution questions. As with all the other sessions, additional practice problems will be provided. *Discounts available, see below for details.

### Mastery 4: Saturday Dec. 6th, 4:30-7:30pm ($60*)

This last session will attempt to recreate some of the stress you experience during the exam by limiting the amount of time you have to solve challenging questions from all the topics of the class, presented as they would be in your exam. Emphasis will be placed on efficient strategies, pattern recognition and identifying your weakest points so that you can focus your studying most effectively in the last days before your final. The session will follow the form of a past final and variations on those problems will be provided for additional practice. *Discounts available, see below for details.

### Discounts:

It’s simple: the more review you get, the better you’ll do, so for every additional session you register for, you save $10:

- 1 session: $60 for 3h, including notes and practice problems;
- 2 sessions: $110 for 6h, including notes and practice problems (for each session);
- 3 sessions: $160 for 9h, including notes and practice problems (for each session);
- 4 sessions: $210 for 12h, including notes and practice problems (for each session).

Discounts will be applied automatically, additional details and information will be provided in the confirmation email you receive upon registration.

# McGill MATH 122 Midterm Prep

# Calculus For Management: Everything You Need*!*

With the midterm only a week away, we’re happy to announce details for the MATH 122 Calculus for Management midterm prep sessions.

**Midterm Prep 1 – Mastering Limits:**One-sided limits; Total limits; Infinite limits; Limits*at*Infinity; Strategies for Advanced Limits; Horizontal & Vertical Asymptotes; Continuity and (time permitting) the Limit-Definition of the Derivative.

**Fri. October 24th, 2014, 4-7pm in M3-37A (3rd floor McLennan); $60 for 3h + detailed notes; discounts available (see below).**

**Midterm Prep 2 – Mastering Derivatives:**Limit-Definiton of the Derivative (con’t); Differentiation of Basic Functions; Product Rule; Quotient Rule; *Chain Rule*; Advanced Differentiation; Evaluating the Derivative at a Point; Applications of the Derivative.

**Sat. October 25th, 2014, 6:30-9pm in M3-37A (3rd floor McLennan); $50 for 2.5h + detailed notes; discounts available for multiple sessions (see below).**

**Midterm Prep 3 – Mastering Interest:**Logarithms & Exponential Functions; Simple & Compound Interest; Future Values of an Annuity; Advanced Questions Involving Interest.

**Sun. October 26th, 2014, 12:30-3pm in M3-37A (3rd floor McLennan); $50 for 2.5h + detailed notes; discounts available for multiple sessions (see below).**

**Midterm Study Hall 1:**The key to success in this class is*practice*. Study Halls provide an ideal environment for getting that practice without wasting time.

**Sun. October 26th, 2014, 5:30-8:30pm in M3-17B (3rd floor McLennan); $20 for 3h.**

**Midterm Study Hall 2:**“(Perfect) Practice Makes Perfect” so come work on practice problems with classmates at a midterm-focused Study Hall and have the most challenging questions answered by an experienced tutor.

**Mon. October 27, 2014, 5:30-8:30pm in M3-37A (3rd floor McLennan); $20 for 3h.**

**Midterm Study Hall 3:**“(Perfect) Practice Makes Perfect” so come work on practice problems with classmates at a midterm-focused Study Hall and have the most challenging questions answered by an experienced tutor.

**Tues. October 28, 2014, 5:30-8:30pm in M3-17B (3rd floor McLennan); $20 for 3h.**

**Best Price Discount:** RSVP for all the midterm sessions and **save over 25%** – take $10 off the price of every prep session *and* study hall; only pay $160 for 17h dedicated to helping you understand & succeed on your midterm, that’s less than $9.50/h!

**Multiple Prep Session Discount:** RSVP for more than one prep session and receive $10 off the price of *each* session!

**Prep Session + Study Hall Discount:** RSVP for a prep session and a study hall and save $10.

# MATH 222 & 262, this one’s for you…

Power Series got you down? Maclaurin series threatening you with a zero? Worried Taylor series will leave you with a *c*? Today (Tuesday May 13th) during the second MATH 222 / 262 multivariable session from **1:15-4pm in room M3-37A on the third floor of McLennan Library**, we’ll be telling the story of infinite series & you can be certain you won’t have any trouble remembering the ideas after this session! Here’s an excerpt from the notes:

“Holy smokes, Batman – we can add infinitely many numbers together and their sum may be a finite number!” said Robin. “That’s right my bird-burly buddy! Not only that, but in some special cases, the same series will converge for a range of different values of the constants involved, so we can think of the resulting object as an infinite polynomial” replied his caped companion. “That sure is

ourkind of series, Batman: a realpowerseries! I still can’t believe that such a thing as an infinite polynomial function actually exists . . . it almost seems diabolical. Oh, why here comes Alfred – it looks like he’s got urgent news. What is it Alfred?” chirped the man-bird superhero, inquisitively. “Masters – there’s been a disconcerting development at city hall: when the press release was made that some infinite polynomials are functions, an astute journalist asked the Mayor’s office ‘which functions are involved? any function at all? only polynomials? what about transcendentals? should we be concerned?’ Panic ensued and I think you can expect a call on the bat phone, shortly.” panted the faithful servant.

However don’t be mislead by the above: we’ll be doing plenty of heavy lifting during the session, including a step-by-step overview of how to tackle each of the different types of series problems. Time permitting, we’ll look at estimating errors, review some of the vector content and introduce multiple integration so you can get a head-start on preparing for the final exam.