### 2019　Exercises in Analysis A II

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Mathematics
Instructor(s)
Kagei Yoshiyuki  Miura Tatsuya
Course component(s)
Exercise
Day/Period(Room No.)
Mon5-8(H103)
Group
-
Course number
ZUA.C204
Credits
2
2019
Offered quarter
3-4Q
Syllabus updated
2019/3/18
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

This course is a complementary recitation for "Advanced Calculus I (ZUA.C203)".
We will have problem solving sessions about the materials taught in that course.

### Student learning outcomes

At the end of this course, students are expected to:
-- be able to calculate inner and outer products
-- be able to calculate line integrals of vector fields along curves
-- be familiar with parametrization of curves and surfaces
-- understand the meaning of gradient, divergence, and rotation, and be able to calculate them
-- understand what Green's theorem means and know how to use it
-- understand the tangent vectors and tangent space of surfaces
-- be able to calculate surface integrals of vector fields
-- understand the meaning of divergence theorem and Stokes' theorem
-- be able to calculate differential forms

### Keywords

Outer product, vector fields, line integral, gradient, divergence, rotation, Green's theorem on the plane
tangent vector, surface integral, divergence theorem, Stokes theorem,
differential forms, exterior derivative

### Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
- - - -

### Class flow

This course provides recitation sessions for "Advanced Calculus II". There will be occasional quizzes.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Recitation for the 1st class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 2 Recitation for the 2nd class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 3 Recitation for the 3rd class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 4 Recitation for the 4th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 5 Recitation for the 5th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 6 Recitation for the 6th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 7 Recitation for the 7th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 8 Recitation for the 8st class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 9 Recitation for the 9th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 10 Recitation for the 10th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 11 Recitation for the 9th class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 12 Recitation for the 1st class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 13 Recitation for the 1st class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 14 Recitation for the 1st class of Advanced Calculus II (ZUA.C203) Details will be provided in class.
Class 15 Recitation for the 1st class of Advanced Calculus II (ZUA.C203) Details will be provided in class.

None required

None required

### Assessment criteria and methods

Based on the problem solving situation in the recitation sessions. Details will be provided in the class.

### Related courses

• ZUA.C203 ： Advanced Calculus II
• MTH.C203 ： Introduction to Analysis III
• MTH.C204 ： Introduction to Analysis IV
• ZUA.C204 ： Exercises in Analysis A II

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students are expected to have passed
-- Calculus (I/II), Linear Algebra (I/II), and their recitations.
-- Advanced Calculus I. and Exercises in Analysis A II
It is strongly recommended to take Advanced Calculus(ZUA.C202)