Course Objectives
At the completion of this course, students will be able to
1) calculate the integral of basic functions,
2) use integration by parts and integration by substitution,
3) calculate area of figure and volume of solid by integral.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Evaluation 1 | Can calculate the integral of basic functions surely exactly. | Can calculate the integral of basic functions almost exactly. | Can't calculate the integral of basic functions. |
| Evaluation 2 | Can use complicated integration by parts and integration by substitution. | Can use basic integration by parts and integration by substitution. | Can't use integration by parts nor integration by substitution. |
| Evaluation 3 | Can calculate area of complicated figure and volume of complicated solid by integral. | Can calculate area of basic figure and volume of basic solid by integral. | Can't calculate area of figure nor volume of solid by integral. |
Assigned Department Objectives
Diploma policy 3
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Teaching Method
Outline:
Calculus is necessary not only for mathematics but also for science and engineering.
Based on the first grade mathematics, students on the second grade will learn calculus in one variable for a year.
In this course (the second semester), students will learn about integral and its application.
Style:
In advance, students should review the first grade mathematics.
It is recommended to prepare what you will learn in the next class hour.
Lecture and exercise are carried out in each class hour.
It is necessary to review early and repeatedly what you have learned.
Keep deadlines for homework and other submissions.
Notice:
Mini-exams will be carried out up to several times.
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 |
Definition of indefinite integral and definite integral |
Can understand definition of indefinite integral and can calculate it.
Can understand definition of definite integral.
|
| 2nd |
Definition of definite integral
Fundamental theorem of calculus |
Can understand definition of definite integral and the fundamental theorem of calculus.
|
| 3rd |
Calculation of definite integrals
Formulae of indefinite integrals |
Can calculate definite integrals.
Can use formulae of indefinite integrals.
|
| 4th |
Integration by parts |
Can use integration by parts.
|
| 5th |
Integration by substitution |
Can use integration by substitution.
|
| 6th |
Application of integration by parts and by substitution |
Can calculate various integrals by using integration by parts and by substitution.
|
| 7th |
Integrals of various functions
Exercise |
Can calculate integrals of fractional functions, irrational functions, and trigonometric functions.
|
| 8th |
Mid-term exam |
|
| 4th Quarter |
| 9th |
Area of figure |
Can calculate area of figure by integral.
|
| 10th |
Length of curve |
Can calcutate length of curve by integral.
|
| 11th |
Volume of solid |
Can calculate volume of solid by integral.
|
| 12th |
Figure in parametric form |
Can calcutate area of figure and length of curve in parametric form.
|
| 13th |
Figure by polar coordinates |
Can calcutate area of figure and length of curve by polar coordinates.
|
| 14th |
Improper integral |
Can understand and calculate improper integrals.
|
| 15th |
Change ratio and Integral
Exercise |
Can calculate position and velocity by integral.
|
| 16th |
Final exam |
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
| Subtotal | 80 | 0 | 0 | 0 | 0 | 20 | 100 |
| Basic Proficiency | 80 | 0 | 0 | 0 | 0 | 20 | 100 |
| Specialized Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 | 0 | 0 | 0 | 0 |