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Graduate School
Calculus 2
Serge RICHARD Professor
Department: G30
Class Time:  2020 Spring Friday 
Recommended for:  Hu(J)･La(S)･Ec(S)･Sc(P･C･B)･En(P･C･Au)･Ag(B) 1st year 
Course Overview
Goals and Objectives of the Course
Analysis is the field of mathematics that describes and analyzes quantitative changes, and the central methods are differential and integral calculus. These methods are essential techniques in natural science, and have recently found increasing applications also in social sciences.
The aim of the second half of this oneyear course is to provide a solid understanding of functions of several real variables. The students will become familiar with the various tools necessary for the analysis of such functions.
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Syllabus
Course Prerequisites
Some notions on functions of one variable, as seen in Calculus I. A basic knowledge of linear algebra will be an asset.
Course Contents/Plan
The basic notions related to the study of functions of several variables, as for example: partial derivatives, maximum and minimum, implicit functions theorem, multiple integrals, change of variables, Jacobian matrix, surface and line integrals. Some elements of vector calculus will also be introduced.
Evaluation Methods and Criteria
The final grade will be determined by quizzes (30%), the midterm (30%) and a final exam (40%). The grading scale will be S: 90100, A: 8089, B: 7079, C: 6069, F: 059. It is necessary to submit a Course Withdrawal Request Form when the student has no intention of finishing the course during the semester.
Notice for Students
It is strongly encouraged to attend the Mathematics Tutorial 2a which is linked to this course.
Textbook
Free reference books and lecture notes are available on the website of the course
Reference Book
Free reference books and lecture notes are available on the website of the course
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Class Materials
Page last updated December 9, 2020
The class contents were most recently updated on the date indicated. Please be aware that there may be some changes between the most recent year and the current page.