Course Objectives
At the completion of this course, students will be able to
1) Understand definition of trigonometric ratio and trigonometric function, and calculate values of trigonometric ratio and trigonometric function.
2) Measure angles by radian.
3) Understand relationships between trigonometric functions, and solve a problem by using them.
4) Understand properties of trigonometric functions, and draw graphs of them.
5) Solve elementary equations and inequality of trigonometric functions.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Understand definition of trigonometric ratio and trigonometric function, and can calculate values of various trigonometric ratio and trigonometric function. | Understand definition of trigonometric ratio and trigonometric function, and can calculate values of elementary trigonometric ratio and trigonometric function. | Don't understand definition of trigonometric ratio and trigonometric function, and can't calculate values of trigonometric ratio and trigonometric function. |
| Achievement 2 | Can measure general angles by radian. | Can measure typical angles by radian. | Can't measure angles by radian. |
| Achievement 3 | Understand relationships between trigonometric functions, and solve a advanced problem by using them. | Understand relationships between trigonometric functions, and solve a elementary problem by using them. | Don't understand relationships between trigonometric functions, and can't solve a problem by using them. |
| Achievement 4 | Understand properties of trigonometric functions, and draw various graphs of them. | Understand properties of trigonometric functions, and draw elementary graphs of them. | Don't understand properties of trigonometric functions, and can't draw graphs of them. |
| Achievement 5 | Solve various equations and inequality of trigonometric functions. | Solve elementary equations and inequality of trigonometric functions. | Can't solve equations and inequality of trigonometric functions. |
Assigned Department Objectives
Teaching Method
Outline:
In this course, students will learn basic mathematical concepts and mathematical skills (calculations of numbers and expressions, arithmetic operations of polynomials, factorization, the remainder theorem, calculation of fractional expressions, equations and inequalities, etc.).
Exercises are conducted in parallel with lectures to acquire mathematical and computational techniques required in engineering and other subjects.
Style:
Content of the lectures gradually increases in quantity and quality, compared to junior high school. We recommend that students prepare for each lectures.
If there is anything you do not understand in the lectures, please review it immediately and try to understand it. Active questions are always recommended.
It is not enough to understand basic contents once. Please train repeatedly.
The lectures plan may be changed according to the student's level of understanding.
Notice:
Mini-exams may be carried out.
Evaluations will be made comprehensively by written exams (making up about 80% of the grade), by exercises and homework (making up about 20% of the grade).
Can take makeup exam in need aid up to maximum of 50 points.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
Trigonometric ratio and its application |
Definition of trigonometric ratio, trigonometric ratio of acute angle
|
| 2nd |
Trigonometric ratio and its application |
Trigonometric ratio of obtuse angle
|
| 3rd |
Trigonometric ratio and its application |
Relationship between trigonometric ratios
|
| 4th |
Trigonometric ratio and its application |
Application of trigonometric ratio to triangles
|
| 5th |
Trigonometric ratio and its application |
Law of sines, law of cosines.
|
| 6th |
Trigonometric ratio and its application |
Area of triangle
|
| 7th |
Exercise and review |
|
| 8th |
Mid-term exam |
|
| 2nd Quarter |
| 9th |
Answer and comment of mid-term exam
Trigonometric function |
General angle, trigonometric function
|
| 10th |
Trigonometric function |
Radian
|
| 11th |
Trigonometric function |
Property of trigonometric function
|
| 12th |
Trigonometric function |
Graph of trigonometric function
|
| 13th |
Trigonometric function |
Enlargement and reduction of graph
|
| 14th |
Trigonometric function |
Equation and inequality of trigonometric functions
|
| 15th |
Final exam |
|
| 16th |
Answer and comment of final exam
Summary and advise |
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
| Subtotal | 95 | 0 | 0 | 0 | 0 | 5 | 100 |
| Basic Proficiency | 95 | 0 | 0 | 0 | 0 | 5 | 100 |
| Specialized Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |