Mathematical Analysis Ⅱ

Course Information

College Toyama College Year 2020
Course Title Mathematical Analysis Ⅱ
Course Code 0042 Course Category General / Elective
Class Format Lecture Credits School Credit: 2
Department Department of Mechanical Engineering Student Grade 3rd
Term Second Semester Classes per Week 4
Textbook and/or Teaching Materials
Instructor Yoshikawa Fumie

Course Objectives

Students understand heavy integration.
Students understand differential equations.

Rubric

Ideal Level of AchievementStandard Level of AchievementUnacceptable Level of Achievement)
Evaluation 1Students can understand and explain the meaning of heavy integration. Also, it is possible for them to perform complicated calculation.Students can understand and explain the meaning of heavy integration. Also, it is possible for them to perform basic calculations.Students cannot understand and explain the meaning of heavy integration. Also, it is possible for them to perform basic calculation
Evaluation 2Students can create differential equations for simple phenomena changes. Also, it is possible to solve the equations of the first- and second-order derivatives.Students can solve the equations of the first- and second-order derivatives.Students cannot solve the equations of the first- and second-order derivatives.
Evaluation 3

Assigned Department Objectives

Diploma policy 3 See Hide

Teaching Method

Outline:
Students will study multiple integral and ordinary differential equations.
Style:
Lectures are the basis for how teacher gives their lessons
Notice:
Prepare lessons in advance.

Course Plan

Theme Goals
2nd Semester
3rd Quarter
1st Double integral 1 Students can understand the definition of double integral and calculate a simple double integral.
2nd Double integral 2 Students can understand the integral area and calculate the double integral.
3rd Regular examination 1 Students can understand the integral area and calculate the double integral.
4th Change of variables and multiple integral 1 Students can calculate the double integral using polar coordinates.
5th Change of variables and multiple integral 2 Students can calculate the double integral using change of variables.
6th Change of variables and multiple integral 3 Students can understand and calculate the improper integral.
7th Application of variables and multiple integral
Students can calculate the surface area and centroid.
8th Regular examination 2
4th Quarter
9th 1st order differential equation Students can create simple differential equations.
10th 1st order linear differential equation
Students can calculate 1st order differential equations.
11th Regular examination 3
12th 2nd order differential equation 1 Students can calculate 2nd order differential equations.
13th 2nd order differential equation 2 Students can calculate 2nd order differential equations.
14th 2nd order differential equation 3 Students can calculate 2nd order differential equations.
15th 2nd order differential equation 4 Students can calculate 2nd order differential equations.
16th Regular examination 4

Evaluation Method and Weight (%)

ExaminationPresentationMutual Evaluations between studentsBehaviorPortfolioOtherTotal
Subtotal80501500100
Basic Ability6050100075
Technical Ability200050025
Interdisciplinary Ability0000000