Course Objectives
(1) Understand the meaning of differential equations and learn the primary solution of first order differential equations.
(2) Understand the basic properties of second order linear differential equations and learn their primary solutions.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
Achievement 1 | Learn and can use methods for solving elementary differential equations. | Understand the solution of the elementary differential equations. | Do not understand the solution method of elementary differential equations. |
Assigned Department Objectives
Teaching Method
Outline:
Students will learn the first order differential equations, and the second order differential equations as the basis for differential equations.
Style:
Classes will be conducted through lectures and exercises, scheduled assignments and quizzes, etc.
Notice:
The following items are essential for taking this course. New Differential Integration II (textbook above) Ch. 4: Differential Equations
Students who miss 1/3 or more of classes will not be eligible for a passing grade.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
2nd Semester |
3rd Quarter |
1st |
First order differential equations |
Can solve linear differential equations.
|
2nd |
First order differential equations |
Can solve linear differential equations.
|
3rd |
First order differential equations |
Can solve explicit nonlinear differential equations.
|
4th |
First order differential equations |
Can solve explicit nonlinear differential equations.
|
5th |
First order differential equations |
Can solve implicit nonlinear differential equations.
|
6th |
First order differential equations |
Can solve implicit first order nonlinear differential equations.
|
7th |
First order differential equations |
Can solve exact differential equations.
|
8th |
Exercise
|
Exercise
|
4th Quarter |
9th |
Second order differential equations |
Can solve linear differential equations.
|
10th |
Second order differential equations |
Can solve linear differential equations by undetermined coefficient method.
|
11th |
Second order differential equations |
Can solve Euler differential equations.
|
12th |
Second order differential equations |
Can solve linear differential equations by variation of constants.
|
13th |
Second order differential equations |
Can solve simultaneous first order linear differential equations.
|
14th |
Exercise |
Exercise
|
15th |
Summary |
Review / development
|
16th |
Exam
|
|
Evaluation Method and Weight (%)
| Exam | Task・ Attitude・Presence・Attendance etc | Total |
Subtotal | 30 | 70 | 100 |
Basic Proficiency | 30 | 70 | 100 |
Specialized Proficiency | 0 | 0 | 0 |
Cross Area Proficiency | 0 | 0 | 0 |