Enhance the ability to handle various physical phenomena in engineering analytically. The course focuses on solution methods and also offers physical interpretations of the results.

MATH110 (Calculus), MATH113 (Calculus Lab), MATH120 (Applied Linear Algebra)
OR any course that covers Calculus and Linear Algebra at an undergraduate level

Homework: 60%; Final Examination: 40%

1. T.H. Kwon, Lecture Note "Analytical Methods in Engineering"(modified & selected version of M.J. Lee's Lecture note), 1992
2. Advanced Engineering Mathematics by Erwin Kreyszig, 2011
3. Foundations of Applied Mathematics by M.D. Greenburg , Prentice-Hall, 2013
4. Advanced Calculus for Applications by F. Hidebrand, Prentice-Hall, 1976
5. Applied Linear Algebra by P. Olver, Prentice Hall, 2005
6. Green's Functions and Boundary Value Problems by I. Stakgold, Wiley, 2011
7. 길잡이 공업수학, 개정4판, 김찬중 저, 범한서적, 2020

Week 1: Linear Algebra: Introduction
Week 2: Eigenvalues and Eigenvectors
Week 3: Canonical Form of a Matrix, Similarity Transformation
Week 4: Principal Axis Transformation, Hermitian Matrix
Week 5: Invariants, Functions of Matrices
Week 6: Ordinary Differential Equations: Introduction
Week 7: Eigenfunction Expansion
Week 8: Sturm-Liouville Problem
Week 9-10: Method of Green's Functions
Week 11: Partial Differential Equations: Eigenvalue Problems by Separation Of Variables
Week 12: Solution of PDEs by Eigenfunction Expansions
Week 13: Removal of Inhomogeneity from PDE
Week 14: Similarity Method for Self-Similar Solutions of PDE

The course comprises three units: Linear Algebra, Ordinary Differential Equations, and Partial Differential Equations.
Reading material for the lecture will be distributed at the beginning of each of the three units (or more frequently).
Homework assignments will be graded and take up 60% of the entire grade.
The final examination, which takes up 40% of the entire grade, will be taken at the end of the semester.