1. Able to conduct basic calculations of polynomials.
2. Able to understand quadratic functions and solve quadratic inequalities.
3. Able to understand trigonometric functions and be able to calculate them.
Outline:
Mathematics is a fundamental subject in technical colleges. In Fundamental Mathematics 1, students acquire basic knowledge and skills in equations and inequalities, quadratic functions, figures and measurements, and trigonometric functions.
Style:
120 hours of class time
Notice:
1. Establish methods that allow you to concentrate in class and learn efficiently. Preparation and review are essential.
2. Studying for regular examinations is, of course, important, but do not neglect the normal quizzes and submissions.
3. Strictly adhere to submission deadlines for submitted materials such as assignments.
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Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
1.1 Formula Calculation |
Able to calculate addition, subtraction, and multiplication of polynomial expressions.
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| 2nd |
1.1 Formula Calculation |
Able to factor using formulas.
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| 3rd |
1.1 Formula Calculation |
Able to factor complex expressions.
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| 4th |
1.2 Real Number |
Able to understand the properties of real numbers.
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| 5th |
1.2 Real Number |
Able to calculate expressions involving root signs.
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| 6th |
1.3 First-order Inequality |
Able to solve first order inequalities.
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| 7th |
1.3 First-order Inequality |
Able to use first-order inequalities to solve familiar problems.
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| 8th |
1st Semester Midterm Examination |
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| 2nd Quarter |
| 9th |
2.1 Quadratic Functions and Graphs |
Able to find the maximum and minimum values of a function from a graph.
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| 10th |
2.1 Quadratic Functions and Graphs |
Able to draw graphs of common quadratic functions.
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| 11th |
2.1 Quadratic Functions and Graphs |
Able to find the maximum and minimum values of quadratic functions.
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| 12th |
2.2 Quadratic Equations and Quadratic Inequalities |
Able to solve quadratic equations.
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| 13th |
2.2 Quadratic Equations and Quadratic Inequalities |
Able to classify solutions to quadratic equations using discriminant.
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| 14th |
2.2 Quadratic Equations and Quadratic Inequalities |
Able to examine the characteristics of graphs of quadratic functions using discriminant.
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| 15th |
2.2 Quadratic Equations and Quadratic Inequalities |
Able to solve quadratic inequalities.
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| 16th |
1st Semester Final Examination |
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| 2nd Semester |
| 3rd Quarter |
| 1st |
3.1 Trigonometric Ratio |
Able to understand sine, cosine, and tangent.
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| 2nd |
3.1 Trigonometric Ratio |
Able to find the value of the sine, cosine, and tangent.
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| 3rd |
3.1 Trigonometric Ratio |
Able to extend the definition of trigonometric ratios.
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| 4th |
3.2 Applications to Triangles |
Able to use the sine theorem.
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| 5th |
3.2 Applications to Triangles |
Able to use the cosine theorem.
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| 6th |
3.2 Applications to Triangles |
Able to utilize the sine and cosine theorems.
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| 7th |
3.2 Applications to Triangles |
Able to find the area of a triangle using trigonometric ratios.
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| 8th |
2nd Semester Midterm Examination |
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| 4th Quarter |
| 9th |
4.1 Trigonometric Function |
Able to understand the arc degree method.
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| 10th |
4.1 Trigonometric Function |
Able to find the values of various trigonometric functions.
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| 11th |
4.1 Trigonometric Function |
Able to understand the properties of trigonometric functions.
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| 12th |
4.1 Trigonometric Function |
Able to draw graphs of trigonometric functions.
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| 13th |
4.1 Trigonometric Function |
Able to solve equations and inequalities involving trigonometric functions.
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| 14th |
4.2 Addition Theorem |
Able to find the value of a trigonometric function using addition theorem.
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| 15th |
4.2 Addition Theorem |
Able to use formulas derived from addition theorem.
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| 16th |
2nd Semester Final Examination |
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