# MATH 139

Welcome to the homepage forMcGill MATH 139 Calculus with Precalculus (Fall 2016) taught by Prof. Sara Ann Froehlich, at Jacob’s Help Desk!

# Register for MATH 139 Sessions

† for registration before 9:00PM Wednesday, November 23, see below for complete details and discounts on multiple sessions.
‡ for registration before 9:00PM Wednesday, November 23, \$200 afterwards. See below for complete details.
N.B. An email with instructions for confirming your registration will be sent to the address provided above shortly after submission.

### About MATH 139 Final Mastery 1

Saturday, 26 November, 4:15 PM (~4.5h), M3-37A (McLennan 3rd): In this first Mastery Prep Session, we’ll cover everything you need to know about limits, advanced differentiation and related rates. We’ll briefly review the core definitions and how they relate to graphical interpretation (for use in curve-sketching); common forms of limits (both finite and infinite); helpful strategies to avoid unnecessary algebra and solve problems faster; special limits that are important to know for the exam; piecewise functions, limits of absolute values and trig functions, and more.

Next we’ll make the connection between limits and derivatives, looking at exam-level derivative problmes requiring limits, before moving onto differentiation by application of the product, quotient and chain rule in advanced, exam-level problems. We’ll look at classic final exam problems from past Math 140 exams and similar problems of equal difficulty for application to related rates. To help you get comfortable with rates, we’ll breakdown problems into several categories and explore each one systematically. By the end of the sesison, you’ll have everything you need to tackle any limit or derivative or related rate problem you might encounter on the final with speed and confidence!

The session is limited to ~18 students, and includes detailed, colour-coded notes, with fully worked explanations and examples so you can focus on understanding the material instead of trying to copy everything down. Because we’ll work in such a small group, you’ll have the chance to actually apply all the concepts to exam-level practice problems taken from (or based on) previous finals. Register now to guarantee your spot in this important Final Exam Mastery Prep Session.

Cost &nd Payment Info: Spots are confirmed upon receipt of the deposit within 4h of registration (see details in confirmation email). Discounts are automatically applied upon registration. A confirmation email with the total, and information on payment options will be sent to the email address provided during registration.

• Any one of the Final Exam Mastery Prep Sessions: \$90 for registration before 9:00PM Wednesday, November 23; \$110 afterwards Includes lecture, notes and practice problems.
• Any two of the Final Exam Mastery Prep Sessions: \$140 for registration before 9:00PM Wednesday, November 23; \$160 afterwards Includes lecture, notes and practice problems.

Special Offer: all three Final Exam Mastery Prep Sessions \$180 for registration before 9:00PM Wednesday, November 23; \$200 afterwards. Includes all lectures, mock exam and detailed notes with sample solutions, plus tons of practice problems.

### About MATH 139 Final Mastery 2

Wednesday, 30 November, 5:45 PM (~4.5h), M3-37A (McLennan 3rd): The second Prep Session will help you master the linear approximations; use of differential elements and logarithmic differentiation. You’ll learn the essential tricks to mastering questions requiring implicit differentiation; optimization (including word problems); using the derivative to identify extrema; curve sketching (including domains + asymptotes) as well as a few more important theorems.

As usual, we’ll focus on exam-level problems and the emphasis will be on problem-solving; identifying patterns in different types of common questions, as well as strategies that will help you save time and avoid small algebraic errors on the exam.

The session is limited to ~18 students, and includes detailed, colour-coded notes, with fully worked explanations and examples so you can focus on understanding the material instead of trying to copy everything down. Because we’ll work in such a small group, you’ll have the chance to actually apply all the concepts to exam-level practice problems taken from (or based on) previous finals. Register now to guarantee your spot in this important Final Exam Mastery Prep Session.

Cost &nd Payment Info: Spots are confirmed upon receipt of the deposit within 4h of registration (see details in confirmation email). Discounts are automatically applied upon registration. A confirmation email with the total, and information on payment options will be sent to the email address provided during registration.

• Any one of the Final Exam Mastery Prep Sessions: \$90 for registration before 9:00PM Wednesday, November 23; \$110 afterwards Includes lecture, notes and practice problems.
• Any two of the Final Exam Mastery Prep Sessions: \$140 for registration before 9:00PM Wednesday, November 23; \$160 afterwards Includes lecture, notes and practice problems.

Special Offer: all three Final Exam Mastery Prep Sessions \$180 for registration before 9:00PM Wednesday, November 23; \$200 afterwards. Includes all lectures, mock exam and detailed notes with sample solutions, plus tons of practice problems.

### About MATH 139 Mock Exam

Saturday, 3 December, 3:15 PM (~3h), M3-37A (McLennan 3rd): The fourth and final Prep Session will be a problem-solving session that brings together the material from all the other sessions in the form of a mock final exam. We will recreate an exam-like setting so students can get a sense of their performance under stress and get an idea of where they ought to focus their time in the last days before the exam.

The session will be broken up into roughly three parts. Students will receive the exam and will have a limited amount of time to solve the first section. The amount of time provided will be unrealistically short, to reproduce the stress experienced during the final, so the emphasis will be on identifying relevant methods and implementing them quickly. After each section, we will go over the solutions togther. Related problems will be recommended, where needed.

The session is limited to ~18 students, and includes detailed, colour-coded notes, with fully worked explanations and examples so you can focus on understanding the material instead of trying to copy everything down. Because we’ll work in such a small group, you’ll have the chance to actually apply all the concepts to exam-level practice problems taken from (or based on) previous finals. Register now to guarantee your spot in this important Final Exam Mastery Prep Session.

Cost &nd Payment Info: Spots are confirmed upon receipt of the deposit within 4h of registration (see details in confirmation email). Discounts are automatically applied upon registration. A confirmation email with the total, and information on payment options will be sent to the email address provided during registration.

• Any one of the Final Exam Mastery Prep Sessions: \$90 for registration before 9:00PM Wednesday, November 23; \$110 afterwards Includes lecture, notes and practice problems.
• Any two of the Final Exam Mastery Prep Sessions: \$140 for registration before 9:00PM Wednesday, November 23; \$160 afterwards Includes lecture, notes and practice problems.

Special Offer: all three Final Exam Mastery Prep Sessions \$180 for registration before 9:00PM Wednesday, November 23; \$200 afterwards. Includes all lectures, mock exam and detailed notes with sample solutions, plus tons of practice problems.

### About the Weekly Sessions for McGill MATH 139 (Fall 2016)

The weekly sessions for Math 139 are 2h, small-group, sessions that aim to clarify the concepts and theory presented in the class lectures and tutorials. They include detailed, typeset notes (written specifically for Math 139 at McGill) that explain the terminology and notation. The notes are carefully designed as interactive documents that provide students with a chance to engage the material during the session and also include representative problems and additional practice problems whenever possible.

During the session we will look at detailed, developed solutions, meant to illustrate different aspects of the material in a systematic, structured and easy-to-follow approach. Solutions are colour-coded to make it easy for students to see through the barrage of symbols and focus on the key concepts. It’ll also help you learn to structure your answers efficiently and effectively, so that the logic of the solution is clear to you (and the marker!).

The sessions are also designed with a view of the entire course in mind with the goal of helping students know where to invest their time both in terms of success in this class, as well as in terms of the topics that will have the greatest application outside of this course. You’ll master topics as they are presented so that you won’t be stressed with the final arrives.

In general, students attend weekly tutorials for a variety of reasons including:

• Time Management: although able to learn and understand the material on their own, many students attend the weekly tutorials because it is simply a better use of their time. The notorious level of difficulty of McGill classes is, generally, not inherent to the content itself; rather, it is the sheer volume of material which makes the classes difficult. Better to spend 2h in a weekly session that will help you really understand the concepts and complete assignments yourself than to spend 8-10+h banging your head against the textbook and trying to decipher online resources only to get answers that don’t really make much sense to you, and have it haunt you later in the semester.
• Maintaing Commitment: despite the best of intentions to keep up with material and not use Wolfram for Webworks, Montreal has its way of always offering up absolutely, totally, 100% legitimate reasons that derail the best laid plans. So you make a financial commitment to a weekly session that helps you reach your goal. Knowing that you need help to reach a goal (& acting on it!) is knowing how to find the success you want.
• Math Therapy: I believe that anyone who wants to learn math, can. You may be terrible at math, true – but there’s probably a list of bad math teachers somewhere in your past that would go a long way to explaining the difficulties you have, & no one wants to spend their time feeling like they just can’t get it. However, if you’re motivated and willing to do the work and practice, then you can definitely succeed. I’ve seen it hundreds of times: students go from failing in a fantastically impressive way to acing the class. The weekly tutorials will go a long way to rehabilitating your relationship with math.
• Top of the Class: a large number of the students who attend weekly sessions don’t want to just pass the class, they want to understand the material at an intuitive level, & they want to ace the class. The weekly tutorials provide a wealth of information that help you develop general, transferable skills in mathematical literacy and reasoning, and I work hard to help students do their very best (and many have both aced their classes and finished very top of the class).

### Cost & Payment Structure for Weekly Mastery Lectures for Math 139

If you have never attended one of my sessions previously, your first session is only \$20. Simply regiter using the contact form, above or get in touch with me at Help@Math139.com – you’ll be glad you did!

• Full 8 Week Membership: prepay for the entire set of 8 sessions before the end of September and get the lowest price ever offered for the Math 139 Mastery Lectures: \$290 for all the lectures this semester. This includes detailed notes at every session (6-12 pages, 9pt, colour-coded, including detailed solutions and practice problems), and qualifies you for priority registration and discounted rates for quiz review and final mastery sessions. This option is only available during the first 4 weeks of sessions and for the total set of 8 sessions. So if you join at the 2nd or 3rd session, the price is still \$290; however, you’d receive all the previous notes and still qualify for all the benefits. My goal in offering this lowest price is to encourage students to join the sessions early, so that they can establish a strong foundation in calculus, right from the start.
• Prepay Remaining Tutorials: if you decide to wait it out and join later in the semester for the remaining sessions it is \$40/week (prepaid). There is always the option of getting the notes from previous tutorials, sutdents can contact me at Help@Math139.com for exact prices. The same benefits as the 10 week membership also apply, with the exception of discounts on the WebWork and Quiz sessions; this offer is not valid after the 7th week.
• Prepay 5 Sessions: \$45/session, total \$225, includes notes. No additional benefits. Attendance to specific sessions are subject to space and students must RSVP min. 3 days in advance. Cancellations must be made min. 48h prior to the session unless you can find someone to take you spot. For complete details, get in touch using the contact form or contact Help@Math139.com.
• Individual Sessions: \$55/session, subject to space. Cancellations must be made min. 48h prior to the session. For additional information, get in touch using the contact form, above.

### MATH 139 – The Long View

This is an incredibly satisfying class to teach because I have the opportunity to help students understand some of the most important foundational concepts in calculus. Sometimes these are students who have never felt they had any real success in math, previously, who end up developing an appreciation for the material when they start to see that they can actually understand it and succeed in their class.

For students who are already managing to find answers, I’ll help them develop their mathematical reasoning and help them focus on the most important concepts; concepts which will return over and over (and over!) again in future classes. Without someone to help you identify this important material, it’s easy to get lost in the large mass of topics. Not to mention that it feels great to get to later classes and have the content seem easier and easier while everyone else is struggling more and more. It all starts with this class!

### Upcoming Sessions For McGill MATH 139 Calculus with Pre-Calculus Fall 2016:

The first group is always scheduled on the weekend, generally at the same time every week, on campus in McLennan Library. Once there are enough students for a second group, it will be scheduled during the week.

No upcoming events

### What others are saying about our sessions:

Finding the right teacher is really important, but it’s not easy to know what to expect. Here are some unsolicited comments from recent McGill students. You can find more reviews from past students on the tutorials page. Ask around: I work hard to make sure that all of my students do the best they can!

### Thanks again Bro-dry for the time and effort you put into the sessions and I’ll definitely recommend you to anyone looking for a math tutor. Also quiz apparently went better than I originally thought: I got 100%!”

– Laurent G. MATH 263 Fall 2014

### I highly recommend him to anyone having issues intuitively understanding the materials in class.”

– Zachary K.MATH 263 Fall 2014

### “Just wanted to keep you updated as you asked about my grade! I ended up getting an A- which I am extremely happy about so thank you again so much for your help, would have never been able to do so well without it!”

– Cassie E.Winter 2014

### “Got an A! Thanks for the help I’m so relieved woooooow!”

– J. ArnetteWinter 2014

### “Comparing my Calc 1 results (C) and Calc 2 results (B+) all I can say is you saved by butt! and I am very grateful for that. Thank you!!!!”

– Dana M.Winter 2014

### “I passed. Literally almost threw my computer in the air I was so relieved. I’m pumped – Thanks so much.”

– A. SinghWinter 2014