N1430800

,P1430400

,Q1430200

,R1430000

,V1430600
2 Analysis 1
This is a course on vector analysis. Students will learn concepts in vector analysis including line integrals, surface integrals,
Green’s theorem, Stokes' theorem and Gauss’Theorem.
The purpose of this class is to be able to compute the objects related to scalar and vector fields, to be able to compute
line integrals and surface integrals and to understand Green’s theorem, Stokes' theorem and Gauss’ Theorem.
- To be able to compute the objects related to scalar and vector fields
- To be able to compute line integrals and surface integrals
- To understand Green’s theorem, Stokes' theorem and Gauss’ Theorem
|
Class schedule |
HW assignments (Including preparation and review of the class.) |
Amount of Time Required |
1. |
Vectors in space and cross products |
Review of linear algebra |
150minutes |
2. |
Vector functions |
Review of vectors in space and cross products |
200minutes |
3. |
Derivation of vector functions |
Review of vector functions |
200minutes |
4. |
Curves |
Review of derivation of vector functions |
200minutes |
5. |
Surfaces |
Review of curves |
200minutes |
6. |
Gradient, divergence and rotation |
Review of surfaces |
200minutes |
7. |
Midterm examination and review |
Review of the above |
200minutes |
8. |
Line integrals |
Review of gradient, divergence and rotation |
200minutes |
9. |
Area of surfaces |
Review of line integrals |
200minutes |
10. |
Surface integrals |
Review of area of surfaces |
200minutes |
11. |
Green’s theorem |
Review of surface integrals |
200minutes |
12. |
Stokes theorem |
Review of Green’s theorem |
200minutes |
13. |
Divergence theorem |
Review of Stokes theorem |
200minutes |
14. |
Final examination and review |
Review of the above |
200minutes |
Total. |
- |
- |
2750minutes |
Relationship between 'Goals and Objectives' and 'Course Outcomes'
|
Midterm exam |
Final exam |
Total. |
1. |
20% |
10% |
30% |
2. |
20% |
20% |
40% |
3. |
0% |
30% |
30% |
Total. |
40% |
60% |
- |
Evaluation method and criteria
Midterm examination (40%), final examination (60%)
Textbooks and reference materials
Will be announced in the first lecture.
Calculus and linear algebra
Office hours and How to contact professors for questions
Relation to the environment
Non-environment-related course
Non-regionally-oriented course
Development of social and professional independence
- Non-social and professional independence development course
More than one class is interactive
Course by professor with work experience
Work experience |
Work experience and relevance to the course content if applicatable |
N/A |
N/A |
Last modified : Thu Mar 21 15:09:48 JST 2019