Applied Mathematics

Applied Mathematics전공 홈페이지
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Tel.: 82-31-670-5340

Fax.: 82-31-670-5349

Loc.: Room 214, Natural Science Bldg.

E-mail: chayoojin12@hknu.ac.kr

Introduction: The Applied Mathematics major trains students in the branches of basic mathematics (analysis, algebra, topology, and geometry) and offers courses in applied mathematics. In analysis, students study calculus, multivariable functions, and vector analysis. There are also courses on linear algebra, differential equations, and complex analysis. Students learn algebra, number theory, topology, and differential geometry. There are several statistics courses (basic statistics, mathematical statistics, and actuarial mathematics), with numerical analysis being a practical option. Through sources on financial mathematics, probability theory, and industrial mathematics, students can experience the power of mathematics in addressing modern-day problems. First-year students are required to learn a programming language, after which they learn mathematical theory, which is used widely in computer engineering, through courses on graph theory, discrete mathematics, and probability theory. After graduation, students pursue advanced mathematics at the graduate level or earn a graduate degree in education to become a middle/high school teacher. Graduates are also hired by financial institutions (banks, securities firms, and insurance companies) or corporations for data processing, work as programmers at a computer-related venture firm, or join a polling agency.

Educational Goals

To develop human resources capable of mathematical thinking and deductive reasoning, which are the foundation of modern science and technology.
Shape professionals who can build mathematical models and analyze phenomena in industry and society.
Build practical talents who will lead the trend of the 4th industrial revolution with data analysis and programming skills.
Enabling responsible and challenging global citizens

Professor introduction

Professor Yoo Hyun Jae View

Position

Professor

Phone

031-670-5344

Major

Mathematical Physics

Room

Natural Science Building #208
Introduction
Professor Yoo Hyun Jae

Position

Professor

Phone

031-670-5344

Major

Mathematical Physics

Room

Natural Science Building #208
Education

Ph. D. Yonsei University

Publications

C. K. Ko and H. J. Yoo, Entropy production of quantum Markov semigroup associated with open quantum walks on the periodic graphs, Quantum Inf. Process 22:81 (2023).

F. Fagnola, C. K. Ko and H. J. Yoo, The generalized Fibonacci oscillator as an open quantum system, SIGMA 18, 035, (2022).

C. K. Ko and H. J. Yoo, Quantum Markov chains associated with unitary quantum walks, J. Stoch. Anal., 1(4), Article 4 (2020).

C. K. Ko and H. J. Yoo, Mixture of Gaussians in the open quantum random walks, Quantum Inf. Process., 19(8), 244 (2020).

A. Dhahri, F. Fagnola, and H. J. Yoo, Quadratic open quantum harmonic oscillator, Lett. Math. Phys., 110(7), 1759-1782 (2020).

A. Dhahri, N. Obata, and H. J. Yoo, Multivariate orthogonal polynomials: Quantum decomposition, deficiency rank and support of measure, J. Math. Anal. Appl. 485, 123775 (2020).

K. Jeong and H. J. Yoo, Stopping times in the game Rock-Paper-Scissors, Bull. Korean Math. Soc. 56 (6), 1497-1510 (2019).

A. Dhahri, C. K. Ko, and H. J. Yoo, Quantum Markov chains associated with open quantum random walks, J. Stat. Phys. 176, 1272-1295 (2019).

C. K. Ko, N. Konno, E. Segawa, and H. J. Yoo, Central limit theorems for open quantum random walks on the crystal lattices, J. Stat. Phys. 176, 710-735 (2019).

C. K. Ko, N. Konno, E. Segawa, and H. J. Yoo, How does Grover walk recognize the shape of crystal lattice?, Quantum Inf. Process 17, 167 (2018).

C. K. Ko and H. J. Yoo, Schrodinger uncertainty relation for the monotone triple skew information, Bull. Korean Math. Soc. 54, 243 (2017).

C. K. Ko, E. Segawa and H. J. Yoo, One-dimensional three-state quantum walks: Weak limits and localization , Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, 1650025 (2016).

C. K. Ko, S. D. Park, and H. J. Yoo, Glauber dynamics on cycles: spectral distribution of the generator, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18(1), 1550002 (2015).

C. K. Ko and H. J. Yoo, Schrodinger uncertainty relation and convexity for the monotone pair skew information,Tohoku Math. J. 66(1), 107-117 (2014).

C. K. Ko and H. J. Yoo, The generator and quantum Markov semigroup for quantum walks, Kodai Math. J. 36, 363-385 (2013).

C. K. Ko and H. J. Yoo, Interactiing Fock spaces and the moments of the limit distributions for quantum random walks, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16(1), 1350003 (2013).

N. Konno and H. J. Yoo, Limit theorems for open quantum random walks, J. Stat. Phys. 150 (2), 299-319 (2013).

H. J. Yoo, Increasing limit of reproducing kernels, Rocky Mountain J. Math. 41 (5), 1741-1754 (2011).

C. K. Ko and H. J. Yoo, Uncertainty relation associated with a monotone pair skew information, J. Math. Anal. Appl. 383 (1), 208-214 (2011).

H. J. Yoo, Dual spaces of restrictions in the reproducing kernel Hilbert spaces in discrete sets, Kodai Math. J. 33 (1), 87-98 (2010).

M. Chae and H. J. Yoo, Glauber and Kawasaki dynamics for determinantal point processes in discrete spaces, Interdisciplinary Information Sciences, 15 (3), 377-388 (2009).

H. J. Yoo, A variational principle in the dual pair of reproducing kernel Hilbert spaces and an application, J. Stat. Phys. 126, 325-354 (2007).

H. J. Yoo, Gibbsianness of fermion random point fields, Math. Z. 252 (2006), no. 1, 27–48.

H.-O. Georgii and H. J. Yoo, Conditional intensity and Gibbsianness of determinantal point processes. J. Stat. Phys. 118 (2005), no. 1-2, 55–84.
Professor Park Sang Don View

Position

Professor

Phone

031-670-5341

Major

Partial Differential Equations

Room

Natural Science Building #204
Introduction
Professor Park Sang Don

Position

Professor

Phone

031-670-5341

Major

Partial Differential Equations

Room

Natural Science Building #204
Education

C. K. Ko, S. D. Park, and H. J. Yoo, Glauber dynamics on cycles: spectral distribution of the generator, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18(1), 1550002 (2015).

Park, Sang Don; Kang, Chul On the minimal energy solution in a quasilinear elliptic equation. Commun. Korean Math. Soc. 18 (2003), no. 1, 65–73.

Lee, Young S.; Park, Sang Don Convergence of nonlinear semigroups in a hyperbolic space. Commun. Korean Math. Soc. 13 (1998), no. 1, 171–179.

Park, Sang Don; Bae, Soo Hyun; Pahk, Dae Hyeon On the multiple positive solutions to a quasilinear equation. Commun. Korean Math. Soc. 12 (1997), no. 2, 221–236.

Bae, Soo Hyun; Park, Sang Don; Pahk, Dae Hyeon Positive radial solutions of Δu+λf(u)=0 on annulus. J. Korean Math. Soc. 33 (1996), no. 2, 381–386.

Pahk, Dae Hyeon; Park, Sang Don L q estimation on the least energy solutions. J. Korean Math. Soc. 32 (1995), no. 2, 329–339.
Professor Kang Chul View

Position

Professor

Phone

031-670-5342

Major

Statistics

Room

Natural Science Building #205
Introduction
Professor Kang Chul

Position

Professor

Phone

031-670-5342

Major

Statistics

Room

Natural Science Building #205
Education

S. W. Park and C. Kang, The construction of fuzzy idempotent zero patterns by a program. Honam Math. J. 36 (2014), no. 1, 187–198.

S. D. Park and C. Kang, On the minimal energy solution in a quasilinear elliptic equation. Commun. Korean Math. Soc. 18 (2003), no. 1, 65–73.

C. Kang and B. C. Kim, The general moment of non-central Wishart distribution. J. Korean Statist. Soc. 25 (1996), no. 3, 393–406.

C. Kang and B. C. Kim, The [Math Processing Error]th moment of matrix quadratic form. Statist. Probab. Lett. 28 (1996), no. 4, 291–297.
Professor Lim Jae Kun View

Position

Professor

Phone

031-670-5343

Major

Applied Functional Analysis

Room

Natural Science Building #206
Introduction
Professor Lim Jae Kun

Position

Professor

Phone

031-670-5343

Major

Applied Functional Analysis

Room

Natural Science Building #206
Education

Ph.D. in math (KAIST)

Publications

Yoo Young Koo, Jae Kun Lim, In-Sook Shin, Finite orthogonal frames generated by normal operators, Linear Multilinear Algebra 56 (2008), 345-356.

Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Internal structure of the multiresolution analyses defined by the unitary extension principle, J. Approx. Theory 154 (2008), 140-160.

Christopher Heil, Yoo Young Koo, Jae Kun Lim, Duals of frame sequences, Acta Appl. Math. (Special Issue: Applied Harmonic Analysis: Wavelets and Sampling) 107 (2009) 75-90.

Shannon Bishop, Christopher Heil, Yoo Young Koo, Jae Kun Lim, Invariances of frame sequences under perturbations, Linear Algebra Appl. 432 (2010) 1501-1514.

Hong Oh Kim, Rae Young Kim, Jae Kun Lim, New look at the constructions of multiwavelet frames, Bull. Korean Math. Soc. 47 (2010) 563-573.

Yoo Young Koo, Jae Kun Lim, Schatten-class operators and frames, Quaest. Math. 34 (2011) 203 - 211.

Hyeongseok Kim, Yoo Young Koo, Jae Kun Lim, Applications of parameterizations of oblique duals of a frame sequence, Numer. Funct. Anal. Optim. 34(8) (2013) 896-913.

Yoo Young Koo, Jae Kun Lim, Sum and direct sum of frame sequences, Linear Multilinear Algebra 61 (2013) 856-870.

Yoo Young Koo, Jae Kun Lim, Existence of Parseval oblique duals of a frame sequence, J. Math. Anal. Appl. 404 (2013) 470-476.

Yoo Young Koo, Jae Kun Lim, Extension of Bessel sequences to oblique dual frame sequences and the minimal projection, Electron. J. Linear Algebra 30 (2015) 51 - 65.
Professor Chae Myung Joo View

Position

Professor

Phone

031-670-5345

Major

Nonlinear Partial Differential Equation

Room

Natural Science Building #207
Introduction
Professor Chae Myung Joo

Position

Professor

Phone

031-670-5345

Major

Nonlinear Partial Differential Equation

Room

Natural Science Building #207
Education

M. Chae, J. Lee and K. Kang, Global existence and temporal decay in Keller-Segel models coupled to fluid equations, Comm. PDE, Vol. 39, no. 7, 1205-1235, 2014.

M. Chae, J. Lee and K. Kang, Global classical solutions for a compressible fluid-particle interaction model, Journal of hyperbolic diff. equations, Vo.. 10, No. 3, 537-562, 2013.

M. Chae, J. Lee and K. Kang, Existence of Smooth Solutions to coupled chemotaxis-fluid Equations, DCDS Vol. 33, no. 6, 2271-2297, 2013.

M. Chae, J. Lee and K. Kang, Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations, J. Differential Equations 251 (2011), no. 9, 2431-2465.

M. Chae, The global classical solution of the Vlasov-Maxwell-Fokker-Planck system near Maxwellian, Math. Models Methods Appl. Sci. 21 (2011), no. 5, 1007-1025.