In Differential and Integral Calculus 1, the basis of calculus of one-variable functions was learned.
In this class, students learn the advanced topics of calculus of one-variable functions and calculus of multivariable functions.
In this class, students learn the advanced topics of calculus of one-variable functions and calculus of multivariable functions.
The purpose of this class is to understand the meaning of advanced topics of calculus of one-variable functions and the meaning
of calculus of multivariable functions, and to be able to calculate them.
- To be able to understand the meaning of numerical sequences, series, series expansion of functions, and indeterminate forms, and calculate them.
- To be able to understand the meaning of partial differentials and related operations, and calculate them.
- To be able to understand the meaning of quadrature by parts, improper integrals, areas, and volumes, and calculate them.
- To be able to understand the meaning of multiple integrals, and calculate them.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Numerical sequences and series | Read through the textbook p.180-p.186 before class. Solve exercises after class. | 190minutes |
| 2. | Series ans series expansion of functions | Read through the textbook p.186-p.191, p.193-p.197 before class. Solve exercises after class. | 190minutes |
| 3. | Indeterminate forms, and basic properties of functions of two variables (limits) | Read through the textbook p.200-p.205, p.219-p.222 before class. Solve exercises after class. | 190minutes |
| 4. | Basic properties of functions of two variables (continuity), and (Higher-order) Partial derivative | Read through the textbook p.222-p.229 before class. Solve exercises after class. | 190minutes |
| 5. | Total derivative and extremum | Read through the textbook p.229-p.231, p.243-p.248 before class. Solve exercises after class. | 190minutes |
| 6. | Composite of two functions and its (partial) derivatives | Read through the textbook p.233-p.237 before class. Solve exercises after class. | 190minutes |
| 7. | Midterm examination and its explanation | Preparation of midterm examination. | 190minutes |
| 8. | Quadrature by parts | Read through the textbook p.212-p.214 before class. Solve exercises after class. | 190minutes |
| 9. | Improper integrals | Read through the textbook p.164-p.168 before class. Solve exercises after class. | 190minutes |
| 10. | Areas and volumes | Read through the textbook p.170-p.177 before class. Solve exercises after class. | 190minutes |
| 11. | Iterated integrals | Read through the textbook p.253-p.258 before class. Solve exercises after class. | 190minutes |
| 12. | Exchange of the order of integration | Read through the textbook p.259-p.260 before class. Solve exercises after class. | 190minutes |
| 13. | Definition of double integral and its calculation using polar coordinates | Read through the textbook p.260-p.264 before class. Solve exercises after class. | 190minutes |
| 14. | Final examination and their explanations | Preparation of final examination. | 190minutes |
| Total. | - | - | 2660minutes |
| Midterm examination | Final examination | Reports and little examinations | Total. | |
|---|---|---|---|---|
| 1. | 7% | 10% | 17% | |
| 2. | 13% | 20% | 33% | |
| 3. | 10% | 15% | 25% | |
| 4. | 10% | 15% | 25% | |
| Total. | 20% | 20% | 60% | - |
Midterm examination(20%), Final examination(20%), Reports and little examinations(60%)
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | 該当しない |
Last modified : Mon Aug 02 04:03:22 JST 2021