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Math 213, Section DL1
Analytic Geometry/Calculus III

Online course, with optional simultaneous participation.

Professor: Anton Lukyanenko, alukyane@gmu.edu
Office Hours: TBA.

Graduate Teaching Assistant: TBA

Learning Assistants: TBA


Course Description

Differentiation and integration are key tools in many fields, from physics to economics and data science. Calculus 1 and 2 covered the 1-dimensional version of these topics, but most real-world problems are not 1-dimensional. In this course, we will see how calculus works when many dimensions are involved, focusing on the 2D and 3D examples. Making calculus work in multiple dimensions will require us to first review the geometry of 2D and 3D space, and then upgrade the notions of continuity, derivatives and integrals to involve multiple variables. In some cases, we will end up with multiple generalizations (for example, multiplication can be generalized as both the dot product and the cross product).

Since we will be generalizing the content of Calculus 1 and 2 to higher dimensions, the course requires a thorough understanding of both 1D calculus and geometry. Recommended prerequisites are a B or better in calculus 1 and 2, and some time reviewing trigonometry and geometry over the summer.

See my general teaching page for information about my teaching style. The short version is that my goal is to help you learn the material. Calc 3 is hard, so this will require hard work from you.

Distance Learning Version

This course has been designated Distance-Learning, which means that it will be taught fully online, regardless of GMU plans for the fall semester.

Lectures, discussion sections, and office hours will be conducted through Zoom. Attend as much as you can: this will keep you motivated and give you a chance to meet other students and form study groups. Lectures will also be recorded (without any student video) in case you're not able to make it at the scheduled time.

Office hours will be offered at a variety of times throughout the week, and students are encouraged to pick a regular time to come to office hours. This will give a regular study time and a chance to ask questions.