Course Jukebox

Course Jukebox

Course Detail

Standard Academic Year
Course delivery methods
Hybrid or Others
Physical sciences, Mathematical sciences, Engineering & technology
School of Science and Engineering
Bachelor's Program in Interdisciplinary Engineering
Tsukuba Campus
Course Offering Year
Course Offering Month
November - February
Weekday and Period
Course Number

Introduction to Single-Variable Calculus II University of Tsukuba

Course Overview

This course along with "Introduction to Single- Variable Calculus I" and “Advanced Calculus” introduces the basic tools of calculus and develops their technical competence. The primary goal of this course is to understand the concepts and to build up a working ability of various mathematical manipulations such as parametric equations, polar coordinates, infinite sequences and series. This is efficiently achieved by visualization, numerical and graphical experimentations and students are required to be acquainted with Mathematica (or similar ones) during the course for working exercises and homework problems. The present course provides a basic core and practical knowledge required for many courses in both natural and social sciences.

Learning Achievement

1. The students are able to evaluate areas and volumes of two- and three-dimensional objects having revolution symmetry.
2. The students are able to calculate arc lengths by using parametric equations.
3. The students are able to understand and describe the conic sections with the cartesian and polar coordinates.
4. The students are able to understand the convergence of infinite sequences and series and evaluate those limits.


Related to 1. Mathematical logic and calculation skills.

Course prerequisites

* The students have taken "Introduction to Single- Variable Calculus I" or a similar level of Math courses.
* "Mathematica" is used to solve numerical problems. You are requested to install "Mathematica" in your own PC by the first lecture.
* Those who already earned the credit of Calculus I (FJ20104) are not allowed to earn the credit of this course.

Grading Philosophy

Homework 30 %
Final 70%

Course schedule

Course type

Lectures and Class Exercises

Online Course Requirement


Sano Nobuyuki

Other information

Lecture is conducted in English.
Hybrid or Others. interdepartmental course
face-to-face, Synchronous and Asynchronous, Take-home exam * You are strongly requested to work on many exercise problems in the textbook assigned during the lectures.
* All exams are closed book for in-class lecture. In the case of hybrid lecture, all exams are open book.

Site for Inquiry

Please inquire about the courses at the address below.

Contact person: Nobuyuki Sano

Email address:

Link to the syllabus provided by the university