### 2016　Engineering Mathematics B

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International Development Engineering
Instructor(s)
Takagi Hiroshi
Class Format
Lecture
Media-enhanced courses
Day/Period(Room No.)
Fri3-4(S513)  Fri7-8(S513)
Group
-
Course number
ZUQ.T201
Credits
2
2016
Offered quarter
2Q
Syllabus updated
2016/4/27
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This lecture deals with complex analysis, Fourier analysis, and Laplace transform

### Student learning outcomes

After studying this subject, the students should conduct basic calculations related to complex analysis, Fourier analysis, and Laplace transform.

### Keywords

complex analysis, Fourier analysis, and Laplace transform.

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

### Class flow

Lecture and excerise

### Course schedule/Required learning

Course schedule Required learning
Class 1 complex analysis complex number, complex analysis
Class 2 regular function regular function, Cauchy-Riemann Equations
Class 3 conformal mapping conformal mapping, harmonic functions
Class 4 complex integral complex integral, Canchy's integral theorem
Class 5 application to real number's integral Cauchy's integral formula, residue
Class 6 Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 1–5. Progress exercise
Class 7 Fourier series Fourier series
Class 8 Fourier transform Fourier transform
Class 9 application to Partial Differential Equations Partial Differential Equations, Dirac's delta function
Class 10 discrete Fourier transform Fast Fourier Transform
Class 11 Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 7–10. Progress exercise
Class 12 Laplace transform Laplace transform
Class 13 Inverse Laplace transform Inverse Laplace transform
Class 14 Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 12–13. Progress exercise
Class 15 Test level of understanding with exercise problems encompassing all the classes Final exercise

Not required

### Reference books, course materials, etc.

Course materials will be provided at each class.

### Assessment criteria and methods

Final exercise (70%) and Progress exercises (30%)

### Related courses

• TSE.M203 ： Theory of Linear System

Not required

### Other

This lecture is only provided in 2016.