Course Overview

We first summarize what we have learned in the last semester to find the Taylor expansion of a given function. This has tremendous applications in all kinds of engineering. The single variable calculus ends here. Then we move on to calculus in severable variables. The approach is similar to what we have done in the last semester: limit, derivative, optimization problem by using derivatives (Lagrange multipliers), integrals, then to ''Fundamental Theorem of Calculus.'' The formulas of FTC in two and three variables in the format of Green-Stokes and Divergence Theorems is technical to explain and learn. However, it all says that the integral of a function in the interior is exactly the total change on the boundary, when interpreted in a suitable sense.

Learning Achievement

1. Taylor expansion 2. Calculus in two and three variables: limit and derivative 3. Optimization problem: Lagrange multipliers 4. Integrals in two and three variables 5. Green-Stokes and divergence theorems.

Competence

Course prerequisites

Single variable calculus: limit, derivative, integral. Idea of linear approximation.

Grading Philosophy

Course schedule

Course type

Online Course Requirement

Instructor

Lai, Ching-Jui

Other information

*Majors-only (including minor and double major students).
(College of Science) Department of Chemistry,
(College of Science) Department of Atmospheric Sciences,
(College of Science) Department of Geography,
(College of Engineering) Department of Mechanical Engineering,
(College of Engineering) Department of Chemical Engineering

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