Calculus II

Course Purpose
The purpose of this course is to understand multivariable calculus and multiple integrals and to obtain skills to solve the problems.
Learning Goals
By the end of the course, students will be able to compute partial derivatives and to use double and triple integrals to calculate volumes and surface areas.
Topic
Session 1Class guidance, functions and limits of two variables, continuity
Session 2Partial derivative
Session 3Higher order partial derivative
Session 4Differentiation of composite functions
Session 5Mean value theorem of two variables
Session 6Maclaurin's theorem for two variables, Taylor's theorem
Session 7Taylor expansion of two variables
Session 8Determination of maximum, minimum, and extreme value
Session 9Conditional extreme value problem
Session 10Definition and calculation of double integral, successive integral
Session 11Calculation of double integral, exchange of integration order
Session 12Calculation of double integral using polar coordinates
Session 13Broad sense integral, volume / curved area
Session 14An introduction to differential equations
＊＊This content is based on April 1, 2025. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊