| １． |
Outline |
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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
・ be able to apply the technique of calculus to actual problems
Every time I lecture along the textbook and carry out quizzes. As for quizzes, you can solve it consulting with nearby students.
In this lesson, you will acquire knowledge, techniques, and attitudes about DP1 and DP2.
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| ２． |
Objectives |
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This lectures are conducted as following along with the lines of the textbook. The materials covered are as follows:
(1) Differentiation: limit, differential coefficient, Tangent, maximal, minimal, differentiation of various functions, partial differentiation
(2) Integral calculus: indefinite integral, integration by part, integration by substitution, integral calculus of various functions, definite integral
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| ３． |
Grading Policy |
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Your final grade will be calculated according to the following process: Quizzes (15%),midterm exam(50%),term-end exam(35%).
In order to obtain S evaluation, it is necessary to have a correct answer rate of 90% or more in the midterm exam and the term-end exam.
Periodic tests conducted during the test period will be the final evaluation.
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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) |
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Subtitles of the next quiz are presented each time. As preparation, refer to textbooks and handouts, solve them, and put them in your notebook (30 minutes).
As a review, you should redo the question of the quiz that could not be solved by yourself, organize the notes, and improve the computing power by solving the textbook exercises (90 minutes).
Practice tests with model answers will be distributed so that you can use them for learning.
More than 30 hours of learning is required during this period.
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| ６． |
Note |
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| ７． |
Schedule |
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１. Differentiation: Function limit and derivative
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２. Differentiation: Tangent, increase / decrease of function, maximum / minimum
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３. Differentiation: Function continuity and derivative
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４. Differentiation: derivative of Composite function
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５. Differentiation: Differentiation of various functions 1: Exponential function, Logarithmic function
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６. Differentiation: Differentiation of various functions 2: Trigonometric function
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７. Differentiation: Differentiation of various functions 3: Inverse function
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８. Differentiation: Taylor Expansion, concept of Partial derivative
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９. Mid-term Exam , Concept of indefinite integration
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10. Integration: partial integral method and displacement integration method
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11. Integration: integration of various functions 1: Exponential function, Logarithmic function
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12. Integration: Integration of various functions 2: Trigonometric functions, irrational functions
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13. Integration: Integration of various functions 3: Special form functions
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14. Integration: Definite Integral
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15. Term-End Exam and summary
|
|
| １． |
Outline |
|
The aims of the course are to encourage and enable students to:
・ understand the foundation of calculus
・ develop skills necessary for problem-solving
・ be able to apply the technique of calculus to actual problems
Every time I lecture along the textbook and carry out quizzes. As for quizzes, you can solve it consulting with nearby students.
In this lesson, you will acquire knowledge, techniques, and attitudes about DP1 and DP2.
|
| ２． |
Objectives |
|
This lectures are conducted as following along with the lines of the textbook. The materials covered are as follows:
(1) Differentiation: limit, differential coefficient, Tangent, maximal, minimal, differentiation of various functions, partial differentiation
(2) Integral calculus: indefinite integral, integration by part, integration by substitution, integral calculus of various functions, definite integral
|
| ３． |
Grading Policy |
|
Your final grade will be calculated according to the following process: Quizzes (15%),midterm exam(50%),term-end exam(35%).
In order to obtain S evaluation, it is necessary to have a correct answer rate of 90% or more in the midterm exam and the term-end exam.
Periodic tests conducted during the test period will be the final evaluation.
|
| ４． |
Textbook and Reference |
|
Textbook: Yoshihiro Tashiro "Mathematical Differential Integration of Engineering" Morikita Publishing ISBN 978-4-627-04932-1
|
| ５． |
Requirements (Assignments) |
|
Subtitles of the next quiz are presented each time. As preparation, refer to textbooks and handouts, solve them, and put them in your notebook (30 minutes).
As a review, you should redo the question of the quiz that could not be solved by yourself, organize the notes, and improve the computing power by solving the textbook exercises (90 minutes).
Practice tests with model answers will be distributed so that you can use them for learning.
More than 30 hours of learning is required during this period.
|
| ６． |
Note |
|
|
| ７． |
Schedule |
|
１. Differentiation: Function limit and derivative
|
２. Differentiation: Tangent, increase / decrease of function, maximum / minimum
|
３. Differentiation: Function continuity and derivative
|
４. Differentiation: derivative of Composite function
|
５. Differentiation: Differentiation of various functions 1: Exponential function, Logarithmic function
|
６. Differentiation: Differentiation of various functions 2: Trigonometric function
|
７. Differentiation: Differentiation of various functions 3: Inverse function
|
８. Differentiation: Taylor Expansion, concept of Partial derivative
|
９. Mid-term Exam , Concept of indefinite integration
|
10. Integration: partial integral method and displacement integration method
|
11. Integration: integration of various functions 1: Exponential function, Logarithmic function
|
12. Integration: Integration of various functions 2: Trigonometric functions, irrational functions
|
13. Integration: Integration of various functions 3: Special form functions
|
14. Integration: Definite Integral
|
15. Term-End Exam and summary
|
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|