| １． |
Outline |
|
The lectures are carried out in line with the textbook. The items covered are as follows:
(1) Differentiation : limit, differential coefficient, Tangent, maximal, minimal, differentiation of various function, partial differentiation
(2) Integral calculus : indefinite integral, integration by part, integration by substitution, integral calculus of various functions, definite integral
Quizzes are carried out every time. For quizzes, you can answer with nearby students.
In this course, you will acquire knowledge, techniques, and attitudes about DP 1 and DP 2.
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| ２． |
Objectives |
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The aims of the course are to encourage and enable students to:
・ understand the foundation of calculus
・ develop skills necessary for problem-solving
・ apply the technique of calculus to actual problems
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| ３． |
Grading Policy |
|
Your final grade will be calculated according to the following process: Quizzes (15%), mid-term examination1 (25%), mid-term examination2 (25%), term-end examination (35%).
Periodic tests conducted during the test period will be the final evaluation. No makeup exam will be conducted.
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| ４． |
Textbook and Reference |
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Textbook: Yoshihiro Tashiro "Mathematical Differential Integration of Engineering" Morikita Publishing ISBN 978-4-627-04932-1
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| ５． |
Requirements (Assignments) |
|
As preparation, solve exercises to be issued every time, and keep it in a notebook. (over 30 minutes)
As a review, organize the solution of the quiz which you could not solve by yourself and enhance the calculation power by solving the textbook practice problem. (Over 90 minutes).
Dedicated paper that can be referred to during middle / end-of-term tests will be distributed so prepare countermeasures that summarize necessary formulas and solution examples.
More than 30 hours of learning is required during this period.
|
| ６． |
Note |
|
|
| ７． |
Schedule |
|
１. Differential: Limit of function, a differential function
|
２. Differential: Tangent, increase / decrease of function and maximum / minimum
|
３. Differentiation: Function continuity and differentiation
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４. Derivative: derivative of composite function
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５. Midterm exam 1, Concept of partial differentiation
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６. Differential: Differentiation of various functions 1: Exponential function, Logarithmic function
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７. Differentiation of various functions 2: Trigonometric function
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８. Differential: Differentiation of various functions 3: Inverse function
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９. Midterm exam 2, Concept of indefinite integration
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10. Integral: Integration of various functions 1: Exponential function, Logarithmic function
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11. Integral: Integration by parts and Integration by substitution
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12. Integral: Integration of various functions 2: Trigonometric functions, Irrational functions
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13. Integral: Integration of various functions 3: Special form functions
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14. Integral: Definite integral
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15. Term-end exam and summary
|
|
| １． |
Outline |
|
The lectures are carried out in line with the textbook. The items covered are as follows:
(1) Differentiation : limit, differential coefficient, Tangent, maximal, minimal, differentiation of various function, partial differentiation
(2) Integral calculus : indefinite integral, integration by part, integration by substitution, integral calculus of various functions, definite integral
Quizzes are carried out every time. For quizzes, you can answer with nearby students.
In this course, you will acquire knowledge, techniques, and attitudes about DP 1 and DP 2.
|
| ２． |
Objectives |
|
The aims of the course are to encourage and enable students to:
・ understand the foundation of calculus
・ develop skills necessary for problem-solving
・ apply the technique of calculus to actual problems
|
| ３． |
Grading Policy |
|
Your final grade will be calculated according to the following process: Quizzes (15%), mid-term examination1 (25%), mid-term examination2 (25%), term-end examination (35%).
Periodic tests conducted during the test period will be the final evaluation. No makeup exam will be conducted.
|
| ４． |
Textbook and Reference |
|
Textbook: Yoshihiro Tashiro "Mathematical Differential Integration of Engineering" Morikita Publishing ISBN 978-4-627-04932-1
|
| ５． |
Requirements (Assignments) |
|
As preparation, solve exercises to be issued every time, and keep it in a notebook. (over 30 minutes)
As a review, organize the solution of the quiz which you could not solve by yourself and enhance the calculation power by solving the textbook practice problem. (Over 90 minutes).
Dedicated paper that can be referred to during middle / end-of-term tests will be distributed so prepare countermeasures that summarize necessary formulas and solution examples.
More than 30 hours of learning is required during this period.
|
| ６． |
Note |
|
|
| ７． |
Schedule |
|
１. Differential: Limit of function, a differential function
|
２. Differential: Tangent, increase / decrease of function and maximum / minimum
|
３. Differentiation: Function continuity and differentiation
|
４. Derivative: derivative of composite function
|
５. Midterm exam 1, Concept of partial differentiation
|
６. Differential: Differentiation of various functions 1: Exponential function, Logarithmic function
|
７. Differentiation of various functions 2: Trigonometric function
|
８. Differential: Differentiation of various functions 3: Inverse function
|
９. Midterm exam 2, Concept of indefinite integration
|
10. Integral: Integration of various functions 1: Exponential function, Logarithmic function
|
11. Integral: Integration by parts and Integration by substitution
|
12. Integral: Integration of various functions 2: Trigonometric functions, Irrational functions
|
13. Integral: Integration of various functions 3: Special form functions
|
14. Integral: Definite integral
|
15. Term-end exam and summary
|
|
|