## Kruskal’s Algorithm | Essay Assignment | Seminar on Advanced Mathematics

Submitted PDF file: Kruskal’s Algorithm. Sungjae Cho. 20161211

## Studying ‘Differential Equations’

References Second order linear equations | Differential Equations | Khan Academy I learned this topic very easily through this material. I learned how to solve the second order linear homogeneous equations 3 types of the character equation and its general solutions how to solve the second order linear nonhomogeneous equations The method of undetermined coefficients Summary […]

## Differential Geometry | MA

Brief Information Name : Differential Geometry 미분기하학 Lecturer : 장정환 Jang Jeonghwan Semester : 2016 Fall Major : BS, Mathematics Textbook O’Neill, B. (2006) Elementary Differential Geometry. Revised 2nd Ed. Academic Press Syllabus : Syllabus_2016-5-2__Differential Geometry.pdf In short The geometry of curves and surfaces Summary

## Number Theory | MA

Brief Information Name : Number Theory 정수론 Lecturer : Taekyun Kim 김태균 Semester : 2016 Fall Major : BS, Mathematics Textbook Burton, D. (2012) Elementary Number Theory. 7th Ed. TMG I used the international edition of this book. (ISBN: 978-007-128919-1) Syllabus : Syllabus_2016-5-2__Number Theory.pdf In short Number theory or, in older usage, arithmetic is a branch of […]

## Partial Differential Equation | MA

Brief Information Name : Partial Differential Equation 편미분방정식론 Lecturer : Jong-woo Lee 이종우 Semester : 2016 Fall Major : BS, Mathematics Textbook O’Neil, P. V. (2008) Beginning Partial Differential Equations. 2nd Ed. Wiley-Interscience Constanda, C. (2010) Solution Techniques for Elementary Partial Differential Equations. 2nd Ed. Chapman and Hall/CRC Syllabus : Syllabus_2016-5-2__Partial Differential Equation.pdf In short Study partial differential equations. […]

## Studying ‘Abstract Algebra’

Summary The study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. mathematics ⊃ algebra ⊃ abstract algebra =modern algebra References Abstract algebra | Wikipedia

## Seminar on Advanced Mathematics (Combinatorial Structures) | MA

Brief Information Name : Seminar on Advanced Mathematics 고급수학세미나 Lecturer : Sang-Mok Kim 김상목 Semester : 2016 Fall Major : BS, Mathematics Textbook Syllabus : Syllabus_2016-5-2__Seminar on Advanced Mathematics.pdf In short key words: combinatorial structures, finite structures, projective planes, Desarguisian planes In this course, unsolved problems are introduced in the fields of combinatorial structures. Assignments Kruskal’s Algorithm | Essay […]

## Topics in Applied Mathematics (Calculus of Variations and Optimal Control) | MA

Brief Information Name : Topics in Applied Mathematics 응용수학특강 Lecturer : 이종우 Lee Jong-woo Semester : 2016 Fall Major : BS, Mathematics Textbook O’Neil, P. V. (2008) Beginning Partial Differential Equations. 2nd Ed. Wiley-Interscience A. Antoniou & Wu-Sheng Lu (2007) Practical Optimization: Algorithms and Engineering Applications. 2007 Ed. Springer Syllabus : Syllabus_2016-5-2__Topics on Applied Mathematics.pdf Key words calculus of variations, […]

## Understanding Modern Mathematics | MA

Brief Information Name : Understanding Modern Mathematics 현대수학의이해 Lecturer : 허민 Min Her Semester : 2016 Fall Major : BS, Mathematics Textbook Howard Eves (2003) 『수학의 위대한 순간들』경문사 Korean translated version of the following two books. The two books is merged into this Korean edition. Howard Eves (1980) Great Moments in Mathematics Before 1650. Mathematical Assn of Amer Howard […]

## Black-Scholes Model

The Black-Scholes Equation $latex \frac{\partial V}{\partial t}+\frac{1}{2}\sigma^2 S^2 \frac{\partial^2 V}{\partial S^2}+rS\frac{\partial V}{\partial S}-rV=0 &s=3$   $latex S$: the price of the stock $latex V=V(S,t)$: the price of a derivative(e.g., option) $latex K$: the strike price of the option $latex r$: the annualized risk-free interest rate $latex \sigma$: the standard deviation of the stock’s return \$latex […]