국립부경대학교 | 디지털금융학과

The fear of the LORD is the beginning of knowledge, but fools despise wisdom and discipline. [Proverbs 1:7]

Engineering Mathematics 1 (Undergraduate Level)

1. Online-Lectures (2021-1)

Week	Lecture ID (click)	Contents
1	EMath1_01_1, EMath1_01_2, EMath1_01_3	Concepts in DEs, Solutions of 1st-order DEs
2	EMath1_02_1, EMath1_02_2, EMath1_02_3	Models of 1st-order DEs, Solutions of higher-order DEs
3	EMath1_03_1, EMath1_03_2, EMath1_03_3	Models of 2nd-order DEs, Engineering Applications
4	EMath1_04_1, EMath1_04_2, EMath1_04_3	Fundamentals in matrices, Systems of DEs
5	EMath1_05_1, Quiz 1	Solutions of linear systems of DEs, Quiz 1
6	EMath1_06_1, EMath1_06_2, EMath1_06_3	Laplace transform, Application to solve DEs
7	EMath1_07_1, EMath1_07_2, EMath1_07_3	Additional properties of LT, Engineering Applications
8	Mid-term Exam	Mid-term exam (3-hour)
9	EMath1_08_1, EMath1_08_2, EMath1_08_3	Series solution, Method of Frobenius
10	EMath1_09_1, EMath1_09_2, EMath1_09_3	Bessel's equation and Legendre's equation
11	EMath1_10_1, EMath1_10_2, EMath1_10_3	Orthogonal functions, Fourier series, Complex FS
12	EMath1_11_1, Quiz 2	Sturm-Liouville problems, Quiz 2
13	EMath1_12_1, EMath1_12_2, EMath1_12_3	Heat equation, Wave equation, Laplace Equation
14	EMath1_13_1, EMath1_13_2, EMath1_13_3	Numerical method for solving DEs
15	Final Exam	Final exam (comprehensive, 3-hour)

Engineering Mathematics 2 (Undergraduate Level)

1. Online-Lectures (2021-2)

Week	Lecture ID (click)	Contents
1	EMath2_01_1, EMath2_01_2, EMath2_01_3	Vectors in 2- and 3-space, Operations, Vector space, Orhogonalization
2	EMath2_02_1, EMath2_02_2, EMath2_02_3	Matrix, Operations, Rank, Determinant, Inverse, Eigenvalue problem
3	EMath2_03_1, EMath2_03_2, EMath2_03_3	Diagonalization, Quadratic, LU-factorization, Least square, Compartment
4	EMath2_04_1, EMath2_04_2, Quiz 1	Vector functions, Motion/Curvature, Accelerations, Partial derivatives, Quiz 1
5	EMath2_05_1, EMath2_05_2, EMath2_05_3	Directional derivatives, Tangent planes, Curl/Divergence, Line integrals
6	EMath2_06_1, EMath2_06_2, EMath2_06_3	Independence of path, Double integrations, Polar coordinates
7	EMath2_07_1, EMath2_07_2, EMath2_07_3	Green's theorem, Surface integrals, Stoke's theorem
8	Mid-term Exam	Mid-term exam (3-hour)
9	EMath2_08_1, EMath2_08_2, EMath2_08_3	Triple integrals, Divergence theorem, Change of variables
10	N/A	Fourier series, Half range expansion, Complex Fourier series, RSLP
11	N/A	Bessel and Legendre series, Separable PDEs, Classical PDEs
12	N/A, Quiz 2	Orthogonal series expansion, BVPs in polar & cylindrical coordinates, Quiz 2
13	N/A	BVPs in spherical coordinates, Error functions, Fourier integrals/transform
14	N/A	Soil consolidation, 2D periodic water wave BVP, Frequency-domain analysis
15	Final Exam	Final exam (comprehensive, 3-hour)

Thesis, Research, and Integrated Design (Undergraduate Level)

1. Online-Lectures (2021-1)

Fundamental Engineering Mechanics (Undergraduate Level)

1. Online-Lectures (2020-2)

Week	Lecture ID (click)	Contents
1	EMech_01_1, EMech_01_2, EMech_01_3	vector analysis
2	EMech_02_1, EMech_02_2, EMech_02_3	resolution of forces and moments
3	EMech_03_1, EMech_03_2, EMech_03_3	resultants of force system - concurrent, parallel
4	EMech_04_1, Quiz 1	resultants of force system - plane, space
5	EMech_05_1, EMech_05_2, EMech_05_3	equilibrium of force system, free-body-diagram
6	EMech_06_1, EMech_06_2, EMech_06_3	application of statics, reactions
7	EMech_07_1, EMech_07_2, EMech_07_3	friction (dry)
8	Mid-term Exam	mid-term exam (3-hour)
9	EMech_08_1, EMech_08_2, EMech_08_3	analysis of truss
10	EMech_09_1, Quiz 2	application problems
11	EMech_10_1, EMech_10_2, EMech_10_3	centroid (center), 1st moment of inertia
12	EMech_11_1, EMech_11_2, EMech_11_3	2nd moment of inertia
13	EMech_12_1, EMech_12_2, EMech_12_3	2nd moment of mass
14	EMech_13_1, EMech_13_2, EMech_13_3	review and problem solving
15	Final Exam	final exam

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