29770 – Calculus (미적분학)

Who is Professor Rushan Ziatdinov?

Professor Ziatdinov is an internationally recognized scholar who has experience working in five universities, including top universities of South Korea, Russia, and Turkey. He was a Visiting Professor at Seoul National University (2012, 2014, 2016) and Shizuoka University (2013, 2014, 2020), one of the leading national universities in Japan. He enjoys connecting with intelligent researchers and professors from different countries. For more information, please read his Curriculum Vitae (CV) and watch the YouTube video. The list of his research publications is available here, here, and here.

Professor Ziatdinov enjoys composing and reading poems, quotes, and sayings, as well as photography and video production. He also enjoys playing chess and proposed one of the chess variants.

Prof. Rushan Ziatdinov has been a Guest Columnist at the Korea Times (a sister paper of 한국일보), South Korea's oldest English newspaper, since September 2021. His writings can be found on the Internet (here or here).

Outline

An applied calculus course covering limits, continuity, differentiation, and integration with emphasis on business and social science applications. The course is designed to provide students with a sound, practical understanding of the basic concepts and results of differential and integral calculus without sacrificing mathematical accuracy. Most concepts and results are approached from an applied viewpoint.

Textbooks and Related Materials

  • Anthony, M., Biggs, N. L., & Biggs, N. (1996). Mathematics for economics and finance: methods and modelling. Cambridge University Press.

YouTube Tutorials

0. Power of Mathematics

(a) Science Documentary 2016: The Math Mystery Mathematics in Nature and Universe

(b) The Beauty and Power of Mathematics | William Tavernetti | TEDxUCDavis

1. Mathematical Terms and Notations

(a) Mathematical Notation - The Language of Mathematics

(b) MATH & GEOMETRY Vocabulary and Terminology in English

(d) Math Vocabulary: Learn Mathematics Vocabulary Words in English with Pictures

(e) MATH Symbols: Useful List of Mathematical Symbols in English with Pictures

2. Sequences, recurrences, limits

(a) What is a sequence?

(b) Introduction To Sequences | Algebra | Maths | FuseSchool

(c) Recurrence Relations

(d) Sequences : Recurrence Relations : ExamSolutions : A-level Maths

(e) Introduction to Limits

(f) Calculus 1 - Introduction to Limits

3. Introduction to calculus

(a) Derivative as a concept

(b) Derivatives... What? (NancyPi)

(c) Derivatives... How? (NancyPi)

(d) The Chain Rule... How? When? (NancyPi)