Course title
7M2000001
Mathematics for Electrical and Electronics Engineering
Course content
This course will provide a basic mathematics frequently used in electrical and electronic engineering. The course will be given in lectures as well as exercise to help the students get a better understanding and proficiency in the application of mathematics on electric and electronic circuits.
Purpose of class
This course aims to bridge the gap between students basic understanding in mathematics and the actual application of mathematics in electric and electronic circuits analysis.
Goals and objectives
1. The students can understand and use vector notation and complex notation in electric and electronic circuit analysis
2. The students can understand function mapping and and explain its properties in signal processing
3. The students can use Fourier and Laplace transformation in the frequency domain signal analysis
4. The students can understand and explain the principle of discrete signal processing and its limitation
Language
English
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Class guide, introduction to scalar and vector Review of scalar 50minutes
Review on vector 50minutes
Review on scalar and vector operations 100minutes
2． Vector operations and applications Review inner product, outer product, trigonometric functions 200minutes
3． Complex number and basic arithmetic operation Review complex number properties 100minutes
Review on phasor and its operations 100minutes
4． Complex-valued function, holomorphic function Review Gauss plane and Riemann surface 200minutes
5． Conformal mapping Review complex plane, s-plane, z-plane 200minutes
6． Bilinear transformation and its applications Review conformal mapping 200minutes
7． Midterm exam and discussion on the solution Review lecture #1 to #6 200minutes
8． Taylor series and expansion, Mclaurin series and expansion Review power series 200minutes
9． Fourier series and Fourier transform 1 Review basic calculus 200minutes
10． Fourier transform 2 Review Fourier series 200minutes
11． Laplace Transform Review Fourier transform 200minutes
12． Sampling theorem, discrete time signal processing Review Fourier transform 200minutes
13． Z-transform Review Fourier transform 200minutes
14． Final exam and discussion on the solution Review lecture #8 to #13 200minutes
Total. - - 2800minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

quizes midterm exam final exam Total.
1. 5% 10% 10% 25%
2. 5% 10% 10% 25%
3. 5% 10% 10% 25%
4. 5% 10% 10% 25%
Total. 20% 40% 40% -
Evaluation method and criteria
quiz 20pts + midterm exam 40pts + final exam 40pts = 100pts (total point)

To earn the credits of this course students shall:
1. Get at least 60% of the total point
2. Take both the midterm and final exams

Students will earn 60% from:
1. midterm exam if they can solve calculation problems of vector and complex number operations.
2. final exam if they can solve the problems of Fourier series and Laplace transformation.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
None. Handouts will be provided via LMS.
Prerequisites
Students are recommended to finish linear algebra and calculus courses prior to taking this course
Office hours and How to contact professors for questions
• Tue 15:00 - 17:00 (after class)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
• Course that cultivates an ability for utilizing knowledge
• Course that cultivates a basic interpersonal skills
• Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
• 4.QUALITY EDUCATION
• 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Sep 09 07:24:11 JST 2023