Mathematical Information

Course Information

College Tsuyama College Year 2021
Course Title Mathematical Information
Course Code 0080 Course Category Specialized / Compulsory
Class Format Lecture Credits Academic Credit: 2
Department Department of Integrated Science and Technology Communication and Informations System Program Student Grade 4th
Term Second Semester Classes per Week 2
Textbook and/or Teaching Materials Textbook : Shuichi SAKAI, "Ronri Kairo Nuumon (Intruduction to Logic Circuits)" (Baihukan), Reference book : Takehiko TOMIKAWA, "Reidai de Manabu Ronri Kairo Sekkei (Logic Circuits Design by Examples)" (Morikita Shuppan)
Instructor KAWANAMI Hiromichi

Course Objectives

Learning purposes : Understand principles of digital data proccessing, and design fundamental circuits for data processing.

Course objectices :
1. To design combinational circuits.
2. To explain operations and characteristics of fundamental elements of a sequential circuits.
3. To explain operations of fundamental sequential circuits.

Rubric

ExcellentGoodAcceptableNot acceptable
Achievement 1The student can design desired combinational circuits.The student can design fundamental combinational circuits such as an adder. The student can design simple combinational circuits. The student does not reach the the acceptable level.
Achievement 2The student can exchange every flip-flop to equivalent flip-flops.The stundent can cleary explain operations and characteristics of fundamental elements of a sequential circuits.The stundent can explain operations and characteristics of fundamental elements of a sequential circuits.The student does not reach the the acceptable level.
Achievement 3The student can analyze and explain on arbitrary sequential circuits.The student can analyze and clearly explain on fundamental sequential circuits.The student can analyze and explain fundamental sequential circuits.The student does not reach the the acceptable level.

Assigned Department Objectives

Teaching Method

Outline:
General or Specialized : Specialized
Field of learning : Information system, Programming, Networks
Foundational academic disciplines : Informatics/Computing Technology/Computer System

Relationship with Educational Objectives:
This class is equicalent to "(3) Acquire deep foundation knowledge of the major subject area".

Relationship with JABEE programs :
The main goal of learning / education in this class are "A", "A-1", also "A-2" is involved.

Course outline :
In this class, the students study loigic theory further, using examples of optimization design of combinational circuits and sequential circuits of logic circuits.
Style:
Course method :
This class is conducted mainly using the blackboard. To deepen understanding of contents the students work on exercises.

Grade evaluation method :
Exams (75%) + Exercises (25%).
Two regular examinations will be conducted 2 times, equally weighted. If necessary, a supplementary examination will be conducted. However, the updated evaluation will not exceed 60 points.
Notice:
Precautions on the enrollment :
Students must take this class (no more than one-thirds of the required number of class hours missed) in order to complete the 4th-grade course.
This is a class that requires study outside of class hours. A total of 45 hours of study is required per credit, including both class time and study outside class time. Follow the instructions of the instructor regarding study outside of class hours.

Course advice :
Precisely understand meaning and definition of technical terms appeared in the textbook. It is also important to try example questions and exercises in every chapter and deeply understand them.

Fundamental subjects :
Information Literacy (1st year), Digital Circuits (2nd), Basic Programming (2nd), Digital Engineering (3rd), Applied Digital Circuits (3rd)
Related subjects :
Information Theory (5th year, Network), System Programming (5th), e-Business (5th), Information System Analysis (5th)

Attendence advice :
Listening to the lecture carefully is very important and the most effective way to understand.
If you are late for the start time, your absence will be counted on every half class hour.

Characteristics of Class / Division in Learning

Active Learning
Aided by ICT
Applicable to Remote Class
Instructor Professionally Experienced
Must complete subjects

Course Plan

Theme Goals
2nd Semester
3rd Quarter
1st Guidance. Binary code. Can operate fundamental arithmetric operation by binary code.
2nd Logic operation (1) (login function) Can explain conception of combinational circuits and logic function.
3rd Logic operation (2) (canonical forms) Can form a disjunctive canonical form and a conjunctive canonical form).
4th Design of combinational circuirs (1). (simplification using Karnaugh map) Can simplify combinational circuits using Boolean algebra and Karnaugh map.
5th Desing of combinational circuits (2). (simplification using QM algorithm) Can simplify combinational circuits using Quine–McCluskey algorithm.
6th Design of combinational circuits (3). (Simplification for multi-output circuits) Can simplify multiple-output combinational circuits using Quine–McCluskey algorithm.
7th Major combinational circuits. (adder, decoder, multiplexer, etc.) Can explain fundamental combinational circuits.
8th Semester mid-term exam.
4th Quarter
9th Return and commentary of exam answers.
10th Flip-flop (1). (characteristics table, exitation table) Can explain principles of fundamental operations of flip-flops.
11th Flip-flop (2). (mastar-slave FF, edge-triggerd FF) Can explain principles of operations of advanced flip-flops.
12th Fundamental sequential circuits. (non-synchronous / synchronous counter) Can design fundamental sequential circuits.
13th Practical sequential circuits (1). (pattern matching, etc.) Can design applied sequential circuits.
14th Practical sequential circuits (2). (traffic signai, vending machine) Can design practical sequential circuits.
15th Semester final exam.
16th Return and commentary of exam answers.

Evaluation Method and Weight (%)

ExaminationPresentationMutual Evaluations between studentsBehaviorExerciseOtherTotal
Subtotal75000250100
Basic Proficiency0000000
Specialized Proficiency75000250100
Cross Area Proficiency0000000