Mathematics Ⅰ B-1

Course Information

College Akashi College Year 2023
Course Title Mathematics Ⅰ B-1
Course Code 5107 Course Category General / Compulsory
Class Format Lecture Credits School Credit: 1
Department Civil Engineering Student Grade 1st
Term First Semester Classes per Week 2
Textbook and/or Teaching Materials Fundamental Mathematics (Dai Nihon Tosho)
Instructor TAKATA Isao

Course Objectives

To understand and solve problems related to trigonometric functions.

Rubric

Ideal LevelStandard LevelUnacceptable Level
1)Trigonometric functionsCan fully understand the definition of trigonometric function and competently solve problems using trigonometric functions.Can understand the definition of trigonometric function and solve problems using trigonometric functions.Can not understand the definition of trigonometric function or solve problems using trigonometric functions.

Assigned Department Objectives

Teaching Method

Outline:
Students will learn about trigonometric functions and acquire a basic understanding of mathematics required by technical colleges. 
Style:
Students are asked to prepare for the class with video clips according to the syllabus.
Students will be asked to study in groups during class to check their level of understanding.
Bilingual classes may be offered.
Notice:
Review your work before class. Do not leave anything you do not understand unanswered, but ask questions. Study independently by using problem collections.
CBT will be given in one of the weeks.
Students who miss 1/3 or more of classes will not be eligible for evaluation.

Characteristics of Class / Division in Learning

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

Course Plan

Theme Goals
1st Semester
1st Quarter
1st Class Description Confirm how to proceed with the class.
2nd Triangle ratio and its application Can find the trigonometric ratios of acute and obtuse angles.
3rd Triangle ratio and its application Can find the trigonometric ratios of general angles.
4th Triangle ratio and its application Can use the sine theorem and find the area of a triangle.
5th Trigonometric function Can use the cosine theorem and use the radian system.
6th Trigonometric function Can find the area of a fan shape and understand the properties of trigonometric functions.
7th Trigonometric function Can draw graphs of simple trigonometric functions.
8th Trigonometric function Can solve the trigonometric equations.
2nd Quarter
9th Trigonometric function Can solve the trigonometric inequalities.
10th Addition Theorem and its Applications Can calculate trigonometric ratios using the addition theorem.
11th Addition Theorem and its Applications Can use the double angle formula.
12th Addition Theorem and its Applications Can derive sum-of-products formulas, and perform calculations using these formulas.
13th CBT test CBT test to check retention.
14th Summary Review of the total.
15th Addition Theorem and its Applications Can compose trigonometric functions.
16th Exam Confirmation of the studies.

Evaluation Method and Weight (%)

ExaminationComprehension TestReview TestsAssignmentsAttendance PointsTotal
Subtotal2520251515100
Basic Proficiency2520251515100
Specialized Proficiency000000
Cross Area Proficiency000000