Welcome to the homepage for McGill Math 264 Advanced Calculus for Engineers (Winter 2019) taught by Prof. Pengfei Guan at Jacob’s Math Help Desk!

All the content taught in Math264.com sessions has been catered specifically for Math 264 students at McGill and has helped thousands of them understand the material and succeed in this class.

This class is largely about really understanding notation. If you don’t understand how the notation is leading you towards the appropriate way to handle a problem and how to go about solving it, then the class can appear to be a great deal more confusing than it actually is.

Another important aspect is being able to properly visualize what the different types of integrals represent: what’s the difference between a single-variable integral like those seen in Math 141 and a single variable integral of a single-variable function along an arbitrary path in R2? or a vector-valued function along an aribtrary path in R2? or a single variable function along an arbitrary path in R3? or a vector-valued function along an arbitrary path in R3? Let alone surface integrals and all the theorems you’ll need to apply!

All of these objects have a clear and simple geometric interpreation that is actually very intuitive, and is even reinforced by the notation. This second piece of the puzzle can make a big difference to your ability to master the material.

All of these objects have a clear and simple geometric interpreation that is actually very intuitive, and is even reinforced by the notation. This second piece of the puzzle can make a big difference to your ability to master the material.

Overall, this coure is relatively easy, as it builds on your knowledge from earlier classes; however, the emphasis is generally on conceptual understanding, which depends to a large extent on students’ mastery of the foundations of calculus in Math 140, 141 and 262. If you’re struggling to distinguish between the various types of integrals or don’t know where to start when it comes to solving a problem, be sure to get help right away – whether in the weekly Mastery Lectures or elsewhere – there’s no need to be confused and the sooner you clarify the relationships between all the different types of integrals, the sooner you’ll feel confident about your ability to master the class.

Beyond the Weekly Mastery Lectures that I offer, I will also run WebWork Workshops (pending sufficient interest), Midterm Mastery Prep and Final Exam Mastery Prep.

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