Course Objectives
Students can find partial derivatives of bivariate functions.
Students can find the extremum of a function using partial derivatives of a two-variable function.
Students can understand the notion of implicit function theorem and solve conditional extrema problems.
Students can understand the concept of double integration and use accumulative integration to determine its value.
Rubric
| Ideal Level of Achievement | Standard Level of Achievement | Unacceptable Level of Achievement) |
| Evaluation 1 | Students can find extreme valies of 2 variable functions, and can can solve conditional extrema problems. | Students can find extreme valies of 2 variable functions. | Students can't find extreme valies of 2 variable functions. |
| Evaluation 2 | Students can understand the concept of double interai, and can find their values. | Students can understand the concept of double interai. | Students can't understand the concept of double interai. |
| Evaluation 3 | Students can understand the consept of differential equations, and find the solutions of certain deferential equation. | Students can understand the consept of differential equations. | Students can't understand the consept of differential equations. |
Assigned Department Objectives
Teaching Method
Outline:
First, we deal with the derivatives of total derivatives and approximations, extrema and implicit functions as partial derivative applications.
Next I will give a lecture on double integration and its applications.
Finally, we deal with basic first-order differential equations.
Style:
Lectures and exercises by the teacher alone
Notice:
Those with an evaluation of less than 60 are eligible for the certification test.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 2nd Semester |
| 3rd Quarter |
| 1st |
Guidance |
Explain the purpose of the class, the means of evaluation, etc.
|
| 2nd |
Total derivative and approximation |
Students can find total deravatives, and can use total derivatives find approximations.
|
| 3rd |
Applications of partial diffrentation:extrme
|
Students can find extreme value.
|
| 4th |
Applications of partial diffrentation:inplicit function |
Students can find derivativrs of inplicit functions.
|
| 5th |
Applications of partial diffrentation:Conditional extreme value problem |
Students can formulate problems concerd with conditional extreme value problem.
|
| 6th |
Double integral and volume. |
Students can understand the concept of double integral.
|
| 7th |
Double integral and repeated integral |
Students can make double integral to repeated integral.
|
| 8th |
Intermediate examination |
We do the test to confirm the students' level of understanding.
|
| 4th Quarter |
| 9th |
Double integral and repeated integral |
Students can find the value of double integral.
|
| 10th |
Reordering of repeated integral |
Students can change the order of integals.
|
| 11th |
Variable transformation of double integral |
Student can use polar cordnate convweasion to find the value of double integral.
|
| 12th |
Applications of double integral |
Students can use to
find the volume of certain figlure, and to
find the value of integrali yb wide sense.
|
| 13th |
Differential equations |
Students can understand the concept of Defferential equations and their solutions.
|
| 14th |
Differential equations |
Students can find solutions of differential equation of variable separation form.
|
| 15th |
Final exam
|
We do the test to confirm the students' level of understanding.
|
| 16th |
Explanation of final exam |
I will explain the items that are considered to be poorly understood by students in the final exam.
|
Evaluation Method and Weight (%)
| Examination | Presentation | Mutual Evaluations between students | Behavior | Portfolio | Other | Total |
| Subtotal | 70 | 0 | 0 | 0 | 0 | 30 | 100 |
| Basic Ability | 50 | 0 | 0 | 0 | 0 | 20 | 70 |
| Technical Ability | 20 | 0 | 0 | 0 | 0 | 10 | 30 |
| Interdisciplinary Ability | 0 | 0 | 0 | 0 | 0 | 0 | 0 |