# Syllabus 2014

IMPORTANT

Our syllabus can be seen at the website of KULASIS since 2019.

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## Course Title : Engineering Mathmatics B1

Code | 35100 |
---|---|

Course Year | 2nd year |

Term | 2nd term |

Class day & Period | Thursday・2 |

Location | Kyoutsuu4 |

Credits | 2 |

Restriction | |

Lecture Form(s) | |

Language | English |

Instructor | Qureshi |

### Course Description

The course introduces the theory of complex functions and their applications.

### Grading

Class participation, quiz, mid-term and end of term examination.

### Course Goals

To understand the properties of holomorphic or analytic functions. To learn Taylor and Laurent series' expansion. To calculate the residue and to learn the engineering applications of complex function theory.

### Course Topics

Theme | Class number of times | Description |
---|---|---|

Review | 3 | Definition of complex numbers, complex plane and review of vector analysis. |

Basic theory of complex functions | 9 | Derivative of complex functions, Cauchy-Riemann equation. Concept and properties of holomorphic functions. Cauchy's integral theorem, Cauchy's integral formula, Taylor series and Laurent series. Classification of singularities. Residue theorem. Various complex functions and their properties. |

Application of theory of complex functions | 3 | Application of residue theorem to calculate the definite integral. Deviation principle and its application. Solution of boundary value problems of partial differential equations. |

### Textbook

### Textbook(supplemental)

Materials given during the lecture.

### Prerequisite(s)

Basic Calculus (From the university curriculum: Calculus A and B, Advanced Calculus A)

### Web Sites

### Additional Information

Office hours will be allocated for students to consult with the instructor and ask relevant questions as needed.