Course title
Engineering Mathematics

HIROSE Kazuhide

MUTO Kenji
Course description
This course will cover how calculus, Fourier analysis, and other formulas are applied in the field of information and communications engineering. Engineering mathematics is crucial to understand the transmission of information in the field of radio and acoustic wave engineering. Therefore, engineering mathematics will be focused more in class. We will provide the students with as many tasks as possible throughout the course, in order to have a better understanding of this topic.
Purpose of class
1. Engineering mathematics for radio engineering.
Understand how calculus is applied in radio engineering. That includes reviewing the electromagnetic phenomenon that can be expressed by calculus and gaining its functional equation. Then this will be followed by learning the general engineering techniques that are needed to solve the functional equation.

2. Engineering mathematics for acoustic wave engineering.
Understand how Fourier analysis is applied in this field. Students will be able to understand and explain the terms used in spectral analysis, followed by solving some basic spectral analysis practice questions.
Goals and objectives
  1. Understand that electromagnetic phenomenon, which can be expressed by calculus, can be transformed into a functional equation.
  2. Gain general engineering techniques that can solve the functional equations.
  3. Understand and explain terms used in spectral analysis.
  4. Solve basic spectral analysis practice questions
Relationship between 'Goals and Objectives' and 'Course Outcomes'

examination report Total.
1. 10% 2% 12%
2. 30% 8% 38%
3. 10% 2% 12%
4. 30% 8% 38%
Total. 80% 20% -
Evaluation method and criteria
・Evaluation method
 20% assignment, 80% final and midterm exams.

 More than 60% correctly answered questions out of the exercise questions on Reference book (1) is needed.
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Chapter 1. Mathematics for Radio Wave Engineering The handouts 190minutes
2. 1.1 Radio waves The handouts 190minutes
3. 1.2 Differential and integral calculus The handouts 190minutes
4. 1.3 Functional equations The handouts 190minutes
5. 1.4 Expansion and weighting functions The handouts 190minutes
6. 1.5 Convolution The handouts 190minutes
7. Overall review of Chapter 1
(1) Radio waves
(2) Differential and integral calculus
(3) Functional equations
(4) Expansion and weighting functions
(5) Convolution
Use the handouts and revise topics that were covered in this course. 190minutes
8. Chapter 2. Mathematics for Acoustic Wave Engineering
2.1 Acoustic waves
The handouts 190minutes
9. 2.2 Fourier transform The handouts 190minutes
10. 2.3 Digitalized waveform The handouts 190minutes
11. 2.4 DFT and spectrum The handouts 190minutes
12. 2.5 Time windows The handouts 190minutes
13. 2.6 Impulse and frequency response functions The handouts 190minutes
14. Overall review of Chapter 2
(1) Acoustic waves
(2) Fourier transform
(3) Digitalized waveform
(4) DFT and spectrum
(5) Time windows
(6) Impulse and frequency response functions
The handouts 190minutes
Total. - - 2660minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
The handouts
It is required to have finished the following courses:
・Radio Wave Engineering
・Acoustic Wave Engineering
・Signal Processing

This course must have a minimum of 3 students enrolled.
Office hours and How to contact professors for questions
  • After classes (17:00-17:30) at the labs of 12E32 and 12Q32 for Prof. Hirose and Prof. Muto, respectively.
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
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
Education related SDGs:the Sustainable Development Goals
Last modified : Sat Jun 29 04:21:37 JST 2024