# Math 262 Final Prep Registration

Registration for the Math 262 Final Prep will open later today: check back at Math262.com in the next 2h. The session will be held this coming Sunday. We’ll do a 5h condensed review focusing on the topics that usually cause the most difficulty. The session will included extensive notes on these topics as well as a mock exam and additional exam-level practice problems. Space will be limited to ~13 students.

# 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.

# Update

Registration for the mastery sessions went even faster than anticipated, with all but one spot being taken within the first 15h! As a result, we’ll leave the registration form open for those who were interested but didn’t have a chance to register in time. The dates for these additional sessions will be determined once the minimum registration number is met. If you were counting on any or all of these sessions, please contact us so we can make sure you get the help you need!

Thanks for your interest and support! We really appreciate everyone’s help in spreading the word about these awesome sessions. It is so much fun to work with such hard-working and motivated students. You guys rock!

# MATH 141 – Quiz 1 – More Sample Questions

Here’s a second set of sample questions from the first of this year’s 141 quizzes. As expected, the general structure appears consistent, but the relative level of difficulty is a bit higher here. For example, the Riemann Sum question doesn’t have lower limit $a = 0$ which means you really have to have a solid understanding of how to work backwards to identify the function. Thanks to Marco for sharing!

### 3. Evaluate the following integrals:

• $\displaystyle \int \frac{\pi}{6+x^2} \text{d}x$
• $\displaystyle \int \frac{x+5}{x^2 + 10x - 7}\text{d}x$
• $\displaystyle \int_a^{b} \frac{1}{x(1+\ln^2 x)}\text{d}x$

# MATH 141 – Quiz 1 – Sample Questions

Fresh off the press – sample questions from the first of this year’s 141 quiz. If you’ve written your quiz already and remember the questions, get in touch so we can share the wealth and create a larger bank of questions! Thanks to Stefan for taking the time to share these.

### 3. Evaluate the following integrals:

• $\displaystyle \int \frac{x^2-x}{\sqrt[5]{x}} \text{d}x$

• $\displaystyle \int \frac{\sec^2}{5+\tan x}\text{d}x$

• $\displaystyle \int_e^{e^9} \frac{1}{x\sqrt{\ln x}}$

# Boom!  *~*Existence*~*

Welcome to the new (temp?) site! We’re just getting started, so be sure to check in regularly for new material: we’ll be adding solutions and resources on a regular basis, as well as info about the tutorials and homework sessions.

Also we’re looking for a new name: got an idea? Let us know! Basically we want everyone to know that we’re the best at what we do (ahem), that we love helping students learn, & believe every student can understand & succeed (<– that’s the motto: we aim to put ourselves out of business!).

Have a look around, let us know what you think & share any ideas you’d like to see here!

$\displaystyle \lim_{n\rightarrow\infty}$ & beyond …