Introduction to Contemporary Mathematics (G30)
Contact Information
Contact: Chris Bourne cbourne [at] nagoya-u.jp, bourne.christopher.jack.x7 [at] f.mail.nagoya-u.ac.jp
Office Hours: Tuesday 12:00–13:00, Thursday 14:00–15:00, or by appointment.
Location: Room 419, Humanities Common Facility Building (A4② on the Campus Map)
For general information about 1st year math courses in the G30 program, see this link.
日本人の学生へのメッセージ
授業の参加は大歓迎です！また2022年4月以降入学生の場合，現代数学入門（G30）は「国際理解科目」として履修単位を取ることができます．以下のリンクをご覧ください。
Deep Impact, NU-EMI Project, 単位の扱い.
Class Dates
October 5, 12, 14 (Video, iPad notes), 19, 26 (Video)
November 2 (Video), 9 (Video), 16 (Video), 30 (midterm exam)
December 7 (Video), 14 (Video), 21 (Video)
January 11 (Video), 18 (Video (no audio?)), 25 (Video (no audio again??))
February 1
Exam Schedule:
Midterm: 30 November Final: 1 February
Lecture Summary Notes
1. Algebra review, linear and quadratic equations
2. Functions of a single variable
3. Exponential and logarithm
4. Limits, continuity and the derivative
5. Applications of differentiation
6. Linear systems and matrices. First order difference equations.
Main Reference
V. C. Mavron, T. N. Phillips: Elements of Mathematics for Economics and Finance. Springer-Verlag, London, 2007. ISBN-10: 1-84628-560-7.
A pdf is available through the Nagoya University Library, or Springerlink directly.
Other References
Pre-college Mathematics on Nagoya University OpenCourseWare.
R. Huettenmueller: Pre-calculus demystified. McGraw-Hill, New York, 2005.
L. Peccati, M. D'Amico, M. Cigola: Maths for Social Sciences. Springer, Switzerland, 2018.
S. Lang: Short calculus, Springer-Verlag, New York, 2002.
Quizzes and Homework
Quiz 1, Quiz 2, Quiz 3, Quiz 4, Quiz 5, Quiz 6, Quiz 7, Quiz 8, Quiz 9, Quiz 10, Quiz 11, Quiz 12.
Homework solutions have been removed.
Homework 1, HW1 Solution, Homework 2, HW2 Solution, Homework 3, HW3 Solution, Midterm exam, Midterm solution, Homework 4, HW4 Solution, Homework 5, HW5 Solution. Final exam and solution.