シラバス参照

講義概要／Course description 科目一覧へ戻る
2012/09/20 現在

科目基礎情報／Course information
開講元学部／Faculty 国際教養学部／FACULTY OF LIBERAL ARTS
開講元学科／Department
登録コード／Registration Code AMTH1010
期間／Period 2012年度／Academic Year 　　春学期／SPRING
曜限／Period 月/Mon　1 , 木/Thu　1
科目名／Course title COLLEGE MATHEMATICS*／COLLEGE MATHEMATICS
教員表示名 MURAKAMI Junko
主担当教員名／Instructor 村上　純子／MURAKAMI JUNKO
単位数／Credits 4
更新日／Date of renewal 2012/03/23
講義概要情報／Course description 　　　[top]　[outline]　[bottom]
講義概要
／Course description		 .  In this course, we aim to learn the essential concept and techniques of calculus by studying applications to topics in different areas.

.  All students should enroll for this course on the Moodle system (accessible through Internet at nakama.cc.sophia.ac.jp).  Homework assignments, notices, changes, grades and other materials will be posted on Moodle, and it is your responsibility to check regularly to make sure you have not missed anything.

.  Since I may be contacting you by e-mail with information about this class, be sure to edit your “Profile” in Moodle to include an e-mail address where you can easily be reached.
他学部・他研究科受講可否
／Other departments' students		 可／Yes
※要覧記載の履修対象とする年次を確認すること。
Please make sure to confirm the student year listed in the bulletin.
評価基準・割合
／Evaluation
出席状況／Attendance　（20.0％）
春学期学期末試験（定期試験期間中）／Spring Semester final exam(during exam period)　（25.0％）
中間試験／Mid-term exam　（25.0％）
小テスト等／Quizzes.etc.　（30.0％）
テキスト1／Textbooks1
著者名／Authors　：Marvin L. Bittinger, David J. Ellenbogen
書名／Title　：Calculus and Its Applications
出版社・出版年／Publisher.Year　：PEARSON, 9th Edition

講義スケジュール／Schedule 　　　[top]　[outline]　[bottom]
授業計画／Class schedule
1. Apr 12: 0. Introduction
Numbers, Equality and Inequalities, Interval notation, Monomials and Polynomials, Arithmetic of polynomials, etc.
2. Apr 16-May 7: 1. Functions
- Properties of functions, Domain and range of value.
3.- Some important functions: Slope and linear functions, absolute value functions, positive and negative functions, composition of functions.
4.- Zeros of functions: factorization and quadratic formula.
5.- Exponents and Power functions.
6.- Functions and Graphs of functions.
7. May 10: 2. The Differentiation
The Slope of a Straight line. The Equation of Scant lines.
8. May 14: Limits and Continuity.
9. May 17: Calculation of Limits.
10. May 21: Average Rates of Change.
11. May 24: Differentiation Using Limits of Difference Quotients.
12. May 28: Differentiation Techniques.
13. May 31: Differentiation Techniques.
14. Jun 4: The Chain Rule and Higher-Order Derivatives.
15. Jun 7: 4. Applications of Differentiation
Maximum and Minimum Values and Sketching Graphs of functions.
16. Jun 11: MID-TERM
17. Jun 14: The First, Second and n-th Derivative.
18. Jun 18: Curve Sketching (using first derivative).
19. Jun 21: Curve Sketching (using first and second derivative).
20. Jun 25: Curve Sketching (using first and second derivative and considering asymptote lines).
21. Jun 28: Absolute and Relative maximum and minimum points.
22. Jul 2: Maximum-Minimum Problems.
23. Jul 5: Optimization Problems and Applications of Calculus to Business and Economics.
24. Jul 9: Applications of Calculus to Business and Economics.
25. Jul 12: 5. The Exponential and Natural Logarithm Functions.
Definitions of Exponential and Natural Logarithm functions.
Inverse functions and their Derivatives.
26. Jul 16: Applications of the Exponential and Natural Logarithm functions.
27. Jul 19: Derivatives of Exponential and Natural Logarithm functions.
28. Jul 23: Applications of the Natural Logarithm functions to Economics.