Course Objectives
(1) Understand the basic concept of probability and be able to elucidate uncertain phenomena.
(2) Understand the basic concepts of partial differential and multiple integral, and be able to elucidate phenomena related to multivariable functions.
(3) Understand the basic concepts of differential equations and elucidate phenomena that follow the principles.
(4) Understand the basic concept of linear algebra and apply matrices and vectors to elucidate phenomena.
Rubric
| Ideal Level | Standard Level | Unacceptable Level |
| Achievement 1 | Understand the basic concept of probability and elucidate uncertain phenomena. | Understand the basic concept of probability. | Do not understand the basic concept of probability. |
| Achievement 2 | Understand the basic concepts of partial differential and multiple integral, and be able to elucidate phenomena related to multivariable functions. | Understand the basic concepts of partial differential and multiple integral. | Do not understand the basic concepts of partial differential and multiple integral. |
| Achievement 3 | Understand the basic concepts of differential equations and elucidate phenomena that follow the principles. | Understand the basic concepts of differential equations. | Do not understand the basic concept of differential equations. |
| Achievement 4 | Understand the basic concepts of linear algebra and apply matrices and vectors to elucidate phenomena. | Understand the basic concept of linear algebra. | Do not understand the basic concept of linear algebra. |
Assigned Department Objectives
Teaching Method
Outline:
Review and develop learning of technical college mathematics focusing on probability, partial differential, multiple integral, differential equation, and linear algebra.
Style:
Lessons by lecture and practice-type, timely assignments, quizzes, etc.
Notice:
Absence conditions (ratio) that are not eligible for passing 1/3 or more absenteeism
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 2nd Semester |
| 3rd Quarter |
| 1st |
Probability |
Understand and can calculate conditional probabilities and multiplication rules.
|
| 2nd |
Probability |
Understand and can calculate expected values, variances, and standard deviations.
|
| 3rd |
Probability |
Understand and can calculate binomial distribution, Poisson distribution, and normal distribution.
|
| 4th |
Partial differential and multiple integral |
Understand and can calculate partial differentials, tangent plane equations, and differentials of composite functions.
|
| 5th |
Partial differential and multiple integral |
Understand and can calculate the extremum judgment method and Lagrange's multiplier method.
|
| 6th |
Partial differential and multiple integral |
Understand and can calculate multiple integrals and iterated integrals.
|
| 7th |
Partial differential and multiple integral |
Understand and can calculate change of variables and improper integrals.
|
| 8th |
Summary |
Review / development
|
| 4th Quarter |
| 9th |
Differential equation |
Understand and can calculate first-order differential equations.
|
| 10th |
Differential equation |
Understand and can calculate second-order differential equations.
|
| 11th |
Differential equation |
Understand and can calculate non-linear differential equations
|
| 12th |
Linear algebra |
Understand and calculate the eigenspace.
|
| 13th |
Linear algebra |
Understand and calculate the diagonalization of matrices.
|
| 14th |
Linear algebra |
Understand and calculate vector spaces and linear maps.
|
| 15th |
Summary |
Review / development
|
| 16th |
Exam |
|
Evaluation Method and Weight (%)
| Exam | Task・ Attitude・Attendance etc | Total |
| Subtotal | 70 | 30 | 100 |
| Basic Proficiency | 70 | 30 | 100 |
| Specialized Proficiency | 0 | 0 | 0 |
| Cross Area Proficiency | 0 | 0 | 0 |