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Subject Name
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Mathematics for Electric, Electronics and Information Engineering and Exercise 2
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Teacher Name
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SUGITA Yasunori,Tomoyuki Sasaki,Uncertain
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Class
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Semester
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the first term
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Term
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The first term
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Lecture Form
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lecture and exercise
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Unit Count
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3
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Matter of Prepare
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Note
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12ABB3
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Instructor’ room ／contact information
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Purpose and objective Goals
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Course Objectives
About complex analysis and differential equations, which are the keys for studying electricity-related subjects, a variety of mathematical analysis methods are learned and acquired. Above all, emphasis of the lectures is placed on the acquisition of basic knowledge. The course is designed for students to learn mathematical approaches in analytical and experiential manners and deepen the understanding through solving many questions.
Learning/Educational Objectives
(B) Acquire basic knowledge common in the electrical, electronics and information engineering field
(B-1) Understand fundamental mathematics that is necessary in the electrical, electronics and information engineering field
Goals
- Understand the analytic function of complex variables and explain the Cauchy-Riemann equations
- Understand and calculate an integration in a complex plane
- Able to do a Taylor expansion and Laurent expansion
- Able to solve a first order linear differential equation of a constant coefficient
- Able to solve a second order linear differential equation of a constant coefficient
- Able to solve a simultaneous linear differential equation of a constant coefficient
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Keywords
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Analytic function of complex variables, elementary function, integration in complex plane, series of complex terms , Taylor expansion, Laurent expansion, residue theorem, cofunction, particular integral, separation of variables, linear, homogeneous and non-homogeneous
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Contents and method
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- Lectures are given according to the designated textbook.
- Printed materials provided in the class are also used.
- Exercise problems covering the contents of the lecture are worked through in the exercise time and the level of understanding is evaluated.
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Topics
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Week 1: Complex Number and Complex Function
Week 2: Analytic Function
Week 3: Elementary Function of Z
Week 4: Complex Integration
Week 5: Series of complex terms
Week 6: Taylor expansion and Laurent expansion
Week 7: Residue Theorem
Week 8: Midterm Examination
Week 9: First Order Differential Equation (separable equations)
Week 10: First Order Differential Equation (exact differential equation and integrating factor type)
Week 11: First Order Linear Differential Equation
Week 12: Second Order Linear Differential Equation (homogeneous equation and Euler-Cauchy equation)
Week 13: Second Order Linear Differential Equation (non-homogeneous equation)
Week 14: Simultaneous Linear Differential Equation
Week 15: Final Examination
Week 16: Check and Review
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Outside-classroom work (preparation and review)
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To enhance a learning effect, students are encouraged to refer to their textbook etc. to prepare for around 90 minutes and review the lecture for around 180 minutes.
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Textbooks
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Reference materials
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Evaluation method and Assessment points
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The final grade is determined by the results of the quizzes in the first half (10%), a midterm examination (40%), quizzes in the second half (10%) and a final examination (40%) in this ratio. The quizzes in the first half and the mid-term examination are scored out of 100 points in total and the quizzes in the second half and the final examination are scored out of 100. Students who scored less than 60 points in either of the two combinations may have to take a makeup test, depending on the attendance rate.
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Prerequisite / other notes
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It is impossible to understand and retain the information simply by attending lectures. Students are requested to review the contents every time.
If you have any question about the contents, contact the responsible teaching staff immediately.
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Reference homepage
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Reference URLs
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Remarks
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