Brief Information Name : Vector Calculus and Exercises Lecturer : 강영옥 Semester : 2014 Winter Course :?Liberal arts Textbook 송영권, 송형수, 이종우, 이흥수, 지은숙, 허민 (2009) 벡터해석. 교우사 Thomas, G., B. (2006) 미분적분학. 11 Ed. 자유아카데미 Syllabus 😕Syllabus__Vector Calculus and Exercises In?short This lecture focused on understanding vector calculus by intuition rather than?by?strict?mathematical proof. Vector […]
Brief Information Name : Mathematical statistics 1 Lecturer : 지은숙 Semester : 2014 Fall Course : BM. Mathematics Textbook : 여인권, 송문섭, 허문열?(2009) 이론통계. 박영사 Syllabus [link] In?short Introduction to Statistics. 2-semester course: ?Mathematical statistics 1 and?Mathematical statistics 2 Trace lectures Assignments None Summarize?themes [After mid-term exam] t-distribution F-distribution Desirable characteristics of estimators Bias Small […]
Brief Information Name : Numerical Analysis 1 Lecturer : Lee Jin-woo Semester : 2014 Fall Course : BS, Mathematics Textbook Sauer, T. (2011)?Numerical Analysis. 2nd Ed. Pearson Klein, P., N. (2013) Coding the Matrix: Linear Algebra through Applications to Computer Science. 1st Ed.? Newtonian Press Syllabus [link] Trace lectures Listing themes I learned in the […]
Summary R language version :?3.1.1, 3.2.0 IDE : RStudio Good articles Data Types in R Interactive R training swirl: Learn R, in R. Try R Free Introduction to R Programming Online Course | Datacamp ?References The R Project for Statistical Computing The main R homepage The R manual | The R Project the official R […]
Purpose Foundation of statistics Every event in the universe can be described as its probability. It is important and useful to deeply understanding??what probability is. References Shiryaev, A. N. (1995) Probability. 2nd Ed. Springer.?978-0387945491 I chose this book for great reviews in amazon.com Ross, S. (2012)?A First Course in Probability. 9th Ed. Pearson
Prerequisites calculus, linear algebra. Key words geometry, curves, surfaces Euclidean space Euclidean geometry, Riemannian geometry ?Reference O’Neill, B. (2006)?Elementary differential geometry. revised 2nd Ed. Academic press prerequisite : calculus, linear algebra Oprea, J. (2007)?Differential geometry and its applications. 2nd Ed. The Mathematical Association of America
Fields of Statistics (From Wikipedia) Computational statistics Data mining Regression Simulation Bootstrap Design of experiments Block design Analysis of variance Response surface methodology Sample Survey Sampling theory Statistical modelling Multivariate analysis Structural equation model Time series Reliability theory Quality control Statistical theory Decision theory Mathematical statistics Probability Survey methodology Fields of Statistics ?(From Namu […]
Reference Set theory – Wikipedia Best Sellers in Mathematical Set Theory – amazon.com 송형수 (2008)?기초 집합론. 교우사 You-Feng Lin and Shwu-Yeng T. Lin(1999)?Set theory: An intuitive approach. Kyung Moon Publishers. Hrbacek, K. and Jech, T. (1999)?Introduction to Set Theory. 3rd Ed Revised and Expanded. Marcel Dekker Lipschutz, S. (1998)?Schaum’s Outline of Set Theory and Related […]
Reference Boyer, C. B. and Merzbach, U. C. (2011)?A History of Mathematics. 3rd Ed. Wiley.?9780470525487 Eves, H. (1990)?An Introduction to the History of Mathematics. 6th Ed. Cengage Learning.?9780030295584 Eves, H. (1983)?Great Moments in Mathematics After 1650.?Mathematical Assn of Amer.?9780883853115 Eves, H. (2012). Foundations and Fundamental Concepts of Mathematics. 3th Sub Ed.?Dover Publications. Burton, D. (2010).?The […]