Course Objectives
Develop important mathematical thinking and problem solving skills as engineering technicians based on the mathematics learned previously. The goal of this class is for students to acquire the ability to understand more specialized applied mathematics.
(1) First, understand the convergence of a sequence, the convergence and divergence of a series, and the Maclaurin series. Then understand the function of two variables as a curved surface in space, and are able to calculate partial differentials and multiple integrals.
(2) Acquire a faithful understanding of theories and the ability to express them theoretically.
(3) Acquire the ability to apply an abstract framework to specific issues.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Fully understand the convergence and divergence of a sequence, the convergence and divergence of a series, and the Maclaurin series. Then fully understand two-variable functions as curved surfaces in space, and sufficiently calculate partial derivatives and multiple integrals. | Understand the convergence and divergence of a sequence, the convergence and divergence of a series, and the Maclaurin series. Understand a two-variable function as a curved surface in space, and can calculate partial differentials and multiple integrals.
| Cannot understand the convergence and divergence of a sequence, the convergence and divergence of a series, and the Maclaurin series. Do not understand a two-variable function as a curved surface in space, and cannot calculate partial differentials or multiple integrals. |
| Achievement 2 | Fully have a good understanding of theories and the ability to express them theoretically. | Have a understanding of theories and the ability to express them in theoretically. | Do not have a understanding of theories and the ability express them theoretically. |
| Achievement 3 | Fully have the ability to apply an abstract framework to specific issues. | Have the ability to apply an abstract framework to specific issues. | Do not have the ability to apply an abstract framework to specific issues. |
Assigned Department Objectives
Teaching Method
Outline:
Students will acquire the basic concepts of differential integration and the various computational methods developed from it, and the necessary resources for analyzing various events in the specialized fields. We will mainly teach the convergence and divergence of a sequence, the convergence and divergence of a series, the evolution of the Maclaurin series, the partial differentiation of a two-variable function and its application, and the application of double integrals.
Style:
Students are asked to prepare for the class with video clips according to the syllabus.
Students will be asked to study in groups during class to check their level of understanding.
Bilingual classes may be offered.
Notice:
Review your work before class. Do not leave anything you do not understand unanswered, but ask questions.
Study independently by using problem collections.
CBT will be given in one of the weeks.
Students who miss 1/3 or more of classes will not be eligible for evaluation.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
Class Description |
Confirm how to proceed with the class.
|
| 2nd |
Expansion of functions |
Can obtain the approximation by polynomial.
|
| 3rd |
Expansion of functions |
Can find the series of a simple function.
|
| 4th |
Expansion of functions |
Find the Maclaurin expansion of a simple function.
|
| 5th |
Expansion of functions |
Can determine the radius of convergence of a power series.
|
| 6th |
Partial differentiation method |
Can recall the graph of a simple two-variable function.
|
| 7th |
CBT test |
CBT test to check retention.
|
| 8th |
Partial differentiation method
|
Can find the limit of a two-variable function.
|
| 2nd Quarter |
| 9th |
Partial differentiation method |
Can obtain the partial derivatives.
|
| 10th |
Partial differentiation method |
Can find equations of tangent planes and total derivatives.
|
| 11th |
Partial differentiation method |
Can use partial differentiation of composite functions.
|
| 12th |
Partial differentiation method |
Can obtain higher-order partial derivatives.
|
| 13th |
Partial differentiation method |
Can find the local maxima and local minima of a two-variable function.
|
| 14th |
CBT test |
CBT test to check retention.
|
| 15th |
Partial differentiation method |
Can differentiate implicit functions.
|
| 16th |
Exam
|
Confirmation of the studies.
|
Evaluation Method and Weight (%)
| Examination | Comprehension Test | Review Tests | Assignments | Attendance Points | Total |
| Subtotal | 25 | 20 | 25 | 15 | 15 | 100 |
| Basic Proficiency | 25 | 20 | 25 | 15 | 15 | 100 |
| Specialized Proficiency | 0 | 0 | 0 | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 | 0 | 0 | 0 |