Course Objectives
At the completion of this course, students will be able to
1) Use addition theorem of trigonometric function and formulas derived from addition theorem.
2) Calculate distance between two points and section formula for internal division.
3) Express a line by an equation, and understand relationship (parallel/vertical) between two lines.
4) Understand definition and property of quadratic curve (circle, ellipse, hyperbola, parabola), and understand the characteristics of graphs.
5) Represent inequalities as regions.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Can calculate various values of trigonometric function using addition theorem. | Can calculate elementary values of trigonometric function using addition theorem. | Can't calculate elementary values of trigonometric function using addition theorem. |
| Achievement 2 | Can calculate distance between two points and section formula for internal division and can apply them. | Can calculate distance between two points and section formula for internal division for easy case. | Can't calculate distance between two points and section formula for internal division. |
| Achievement 3 | Can express a line by an equation for various case, and can apply relationship (parallel/vertical) between two lines. | Can express a line by an equation for easy case, and understand relationship (parallel/vertical) between two lines. | Can't express a line by an equation, and don't understand relationship (parallel/vertical) between two lines. |
| Achievement 4 | Understand definition and property of quadratic curve (circle, ellipse, hyperbola, parabola), and draw graphs. | Understand definition and property of quadratic curve (circle, ellipse, hyperbola, parabola), and understand the characteristics of elementary graphs. | Don't understand definition and property of quadratic curve (circle, ellipse, hyperbola, parabola), and don't understand the characteristics of graphs. |
| Achievement 5 | Can represent various inequalities as regions. | Can represent elementary inequalities as regions. | Can't represent inequalities as regions. |
Assigned Department Objectives
Diploma policy 3
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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:
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.
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 |
| 2nd Semester |
| 3rd Quarter |
| 1st |
Trigonometric function |
Addition theorem, double angle formula
|
| 2nd |
Trigonometric function |
Double angle formula, half angle formula
|
| 3rd |
Trigonometric function |
Product-to-sum formula, sum-to-product formula
|
| 4th |
Trigonometric function |
Expressing A sin theta + B cos theta in the form r sin (theta + alpha)
|
| 5th |
Point and line |
Distance between two points, section formula for internal division
|
| 6th |
Point and line |
Equation of a line, relationship between two lines
|
| 7th |
Exercise and review |
|
| 8th |
Mid-term exam |
|
| 4th Quarter |
| 9th |
Answer and comment of mid-term exam
Quadratic curve |
Equation of a circle
|
| 10th |
Quadratic curve |
Equation of ellipse
|
| 11th |
Quadratic curve |
Equation of hyperbola
|
| 12th |
Quadratic curve |
Equation of parabola
|
| 13th |
Quadratic curve |
Equation of tangent line of quadratic curve
|
| 14th |
Quadratic curve |
Region defined by inequality
|
| 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 |