Course Details

Title Engineering Mathematics II
Field of Study Engineering, Mathematics
Professor hanyang (summerschool@hanyang.ac.kr)
Type Academic course
Delivery Method Offline (100% offline course):
Credits 3
Contact hours 45
Schedule
Course code COE3052
Course number 00000
Description

In this course, we learn complex functions, complex analysis functions, fundamental complex functions, conformal mapping, linear fractional transformation, line integral in the complex plane, Cauchy’s integral theorem and integral formula, derivatives in analysis function, power series, Taylor’s series, Laurent’s series, residue integration, ideal integration.

Objective

Complex Variables

Preparations

Calculus

Materials: Advanced Engineering Mathematics (Erwin Kreyszig)

Materials
Evaluation
Assignment
20%
Group Project
30%
Midterm
30%
Quiz
20%
Lesson Plan
Class 1: §13.1Complex Numbers §13.2Polar Form of Complex Numbers. Powers & Roots
Class 2: §13.3Derivative. Analytic Function §13.4Cauchy-Riemann Eq’s. Laplace's Eq.
Class 3: §13.5ExponentialFunction §13.6Trigonometric & HyperbolicFunction. Euler's Formula
Class 4: §13.7Logarithm,General Power,Principal Value §17.1Geometry of Analytic Functions: Conformal Mapping
Class 5: §17.2 Linear Fractional Transformations §17.3 Special LFTs
Class 6: §17.4 Conformal Mapping by other Functions (§17.5:skip) §14.1 Line Integral in the Complex Plane
Class 7: Midterm exam
Class 8: §14.2 Cauchy's Integral Theorem §14.3 Cauchy's Integral Formula
Class 9: §14.4 Derivatives of Analytic Functions
Class 10: §15.1 Sequences, Series, Convergence Tests §15.2 Power Series §15.3 Functions Given by Power Series
Class 11: §15.4 Taylor & Maclaurin Series (§15.5:skip) §16.1 Laurent Series
Class 12: §16.2 Singularities & Zeros. Infinity §16.3 Residue Integration Method
Class 13: §16.4 Residue Integration of Real Integrals
Class 14: §16.4 Residue Integration of Real Integrals
Class 15: Final Exam
Last Updated October 28, 2021
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