crash course

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.

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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 planeslinearization; 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.

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!

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.

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.

McGill MATH 133 Midterm Prep (2014)

Linear Algebra & Geometry Midterm Prep Session this Monday, October 6th from 4:30-6:30pm in room M3-37A on the third floor of McLennan Library. RSVP using the registration form on the MATH 133 page. Amongst other things, we’ll cover:

  • Systems of Linear Equations: solving systems and correctly interpreting the result; working with and moving between different notations.
  • Matrix Algebra: definitions and advanced problems from past midterms and finals.
  • Row Reduction: learn to find RREF without having fractions everywhere!
  • Elementary Matrices: definitions and relationship to the inverse of a matrix.
  • Determinants & Inverses of Matrices: direct application and solving of problems.

The session will be $40 and include notes and practice problems and will definitely help clarify common points of (major) confusion! Some feedback from past students:

I just wanted to say thank you again for all your help this semester. I ended up getting an A on the final, which is the best I’ve done in any math course yet. I found the exam really tough, but really understanding the concepts as you taught us instead of just trying to memorize procedures for solving problems really helped me out a lot!

   – Aaron Rock MATH 133 Linear Algebra & Geometry Winter 2014

I’d just like to let you know that I got 100% on my linear algebra MATH 123 final, and got 100% in the course. I really appreciate your help, I couldn’t have done it without your sessions.

– Trevor Thorburn MATH 123 Linear Algebra & Probability Winter 2014

Thanks so much for everything. You are an excellent teacher and I would not have passed without you!

   – Erica Vandersteen MATH 133 Linear Algebra & Geometry, Winter 2014

MATH 141 – Final Exam

Final Review Session: Mock Final Based on Prof. Hundemer’s Sample – Friday April 11th, 4:30-7:30pm, M3-37A on the third floor of McLennan. This will be a mock-final based on the sample MATH 141 final provided by Prof. Hundemer. In the fall term, his sample 140 final matched the actual exam very closely both in format and difficulty. As such, I’ve written two exams similar to the sample in those respects, but with different questions. This session will look at the second of these two exams, which is similar in style but more difficult than Prof. Hundemer’s version. Students will have short intervals for attempting the problems followed by a brief discussion of the solution, as a group. $55 for the session + copies of both exams, $50 for the session + today’s exam only; $10 off if you bring a friend. Please RSVP with Adaam at McGill.Calc.Help -at- gmail.com; though drop-ins are welcome. See full details at the MATH 141 page.

Good luck with finals!

MATH 141 – Integration Session & Final Review

Integration Session: Sunday April 6th 3-5pm, M3-37A on the third floor of McLennan. We’ll be covering 30-50 integrals from past exams. Students will have 30-60s to identify the correct method of integration and any other relevant information, then we’ll discuss the solution briefly as a group. $5-7 for Mastery Students; $20 for others. Please RSVP with Adaam at McGill.Calc.Help -at- gmail.com; space is limited. Interested students should be proficient with the basics of each method of integration.

Final Review Session: Tuesday April 8th, 6-9pm, M3-17B on the third floor of McLennan. This will be a mock-final based on the sample final provided by Hundemer. In the fall term, his sample 140 final matched the actual exam very closely both in format and difficulty. As such, I’ll be writing a new exam similar to the sample in those respects, but with different questions. Students will have short intervals for attempting the problems followed by a brief discussion of the solution, as a group. $40, $10 off if you bring a friend. Please RSVP with Adaam at McGill.Calc.Help -at- gmail.com. See full details at the MATH 141 page.

Good luck with finals!