Course Objectives
Vector analytics is an important basic knowlege for mathematically solving spatial correlation of physical quantity as well as position, motion and trajectory in multidimensional space, so we aim to understand the following vector rule .
· Vector's basic rule (inner product, exteriror product, figure notation method)
· Vector calculation (operator, calculus)
· Vector analysis (Green's theorem, Stokes 'theorem, Gauss' divergence theorem)
Eigenvalues, eigenvectors
Specifically, each item of the following rubric will be the target.
Rubric
| High Level of Achievement | Standard Level of Achievement | Unacceptable Level of Achievement) |
| Understand vector inner product / exterior product. | Master the inner/exterior product of vectors and recognize it as a space expression method. | Calculate simple inner/exterior product of a vector. | It is impossible to calculate simple vector inner/exterior product. |
| Understand Vector operator and can be calculated calculus. | Understand about vector operators and It is possible to calculate vector operators. | Calculate vector operators. | It is impossible to calculate vector operators. |
| Understand vector analysis | It is possible to understand and explain vector analysis | Understand vector analysis | It is impossible to understand vector analysis |
Assigned Department Objectives
Learning and Educational Objectives of the “General Engineering” A-5
See
Hide
JABEE 1(2)(c)
See
Hide
Diploma policy 3
See
Hide
Teaching Method
Outline:
Vector analysis is a mathematical method that can formulate complex spaces by continuously handling multiple amounts of information at the same time.
This is basic knowledge that is essential for engineers and researchers, since it forms the basis of fluid dynamics and electromagnetism.
In this lecture, we aim to understand the vector analysis method as a powerful mathematical tool and to cultivate the fundamental powers that can be applied.
Style:
Evaluate the student’s degree of understanding according to the form of lecture and exercise, and in principle proceed according to the lesson plans.
(There may be changes to the lesson plan according to the student’s degree of understanding.)
Notice:
Advance classes on vector analysis on the premise that basic differentiation / integration of functions is acquired.
Although it shows detailed explanations and reviews on esoteric things, it sets challenges and difficulty of examination as preparations / review are done.
Can take makeup exam in need aid up to maximum of 60 points.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
Guidance and vector notation |
Understand the definition of vectors
|
| 2nd |
Inner product / exterior product |
It is possible to calculate inner/exterior product of vectors and eigenvalue.
|
| 3rd |
General practice1 |
|
| 4th |
Vector differentiation |
It is possible to calculate vector differentiation.
|
| 5th |
Vector integration |
It is possible to calculate vector integration.
|
| 6th |
General practice2 |
|
| 7th |
Scalar fields and gradients |
It is possible to calculate gradients.
|
| 8th |
Midterm exam |
|
| 2nd Quarter |
| 9th |
Return exam papers
Explanation of examGeneral practice3 |
|
| 10th |
Midterm examVector fields, divergence and rotation |
It is possible to calculate divergence and rotation.
|
| 11th |
General practice3 |
|
| 12th |
Line integration and area integration |
It is possible to calculate line integration and area integration.
|
| 13th |
Divergence theorem and Stokes theorem |
It is possible to use divergence theorem and Stokes theorem.
|
| 14th |
General practice4 |
|
| 15th |
Final exam |
|
| 16th |
Return exam papers
Explanation of exam
Class questionnaire |
|
Evaluation Method and Weight (%)
| Examination | Report | Total |
| Subtotal | 70 | 30 | 100 |
| Ability | 70 | 30 | 100 |