2020年度シラバストップ ＞ 高Ⅲ年８組 ＞ 数学 ＞ AP Calculus BC
教科 |
科目 |
学年・組 |
授業時間 |
担当者 |
数学 |
AP Calculus BC |
高Ⅲ年８組 |
5hrs/ week 必修選択 |
Elliott |
到達目標
The aim of the H3 AP Calculus BC course is for you to learn the fundamental techniques of differential and integral calculus, and to then use these techniques to solve real-world mathematics problems. Calculus is an essential tool for those students wishing to pursue a career in the sciences, particularly physics and engineering.
授業の進め方・学習方法
The course will consist of demonstrations of key points and examples by the teacher, followed by students working all practice problems from the relevant section of the textbook. Homework will be assigned each week for completion by the end of the week.
授業スケジュール
学期 |
学習内容 |
１学期
|
AP Calculus AB Exam Preparation |
1学期中間試験 |
１学期
|
Chapter 7 - Applications of integrations - 7.3 Volume: The Shell Method - 7.4 Arc Length and Surfaces of Revolution Chapter 8 - Integration Techniques - 8.1 Basic Integration Rules - 8.2 Integration by Parts - 8.3 Trigonometric Integrals - 8.4 Trigonometric Substitution - 8.5 Partial Fractions - 8.6 Integration by Tables and Other Integration Techniques - 8.7 Indeterminate Forms and L'Hôpital's Rule - 8.8 Improper Integrals |
１学期末試験 |
学期 |
学習内容 |
2学期 |
Chapter 9 - Infinite Series - 9.1 Sequences - 9.2 Series and Convergence - 9.3 The Integral Test and p-Series - 9.4 Comparisons of Series - 9.5 Alternating Series - 9.6 The Ratio and Root Tests - 9.7 Taylor Polynomials and Approximations - 9.8 Power Series - 9.9 Representation of Functions by Power Series - 9.10 Taylor and Maclaurin Series |
2学期中間試験 |
2学期 |
Chapter 10 - Conics, Parametric equations, Polar coordinates - 10.1 Conics and Calculus - 10.2 Plane Curves and Parametric Equations - 10.3 Parametric Equations and Calculus - 10.4 Polar Coordinates and Polar Graphs - 10.5 Area and Arc Length in Polar Coordinates |
学年末試験 |
学期 |
学習内容 |
3学期 |
3学期末試験は実施しない |
成績評価方法
種別 |
割合（％） |
評価基準など |
定期試験 |
60 |
Midterm: 30% Final: 30% Homework: 30% Term Tests: 10% |
レポート |
10 |
|
小テストなど |
30 |
|
授業での取り組み状況 |
0 |
教科書・教材/参考書/参考サイト
教科書・教材 |
|||
書名 |
出版社 |
教科書番号/code |
備考 |
Calculus of a Single Variable, Larson, 11th Edition |
Cengage Learning |
ISBN-13: 978-1-337-28690-9 |
|
担当者からのアドバイス
In AP Calculus BC you will continue the calculus course you started in H-2. The basic concepts that you have already studied will be expanded upon and you will be expected to be able to apply the fundamental ideas to more challenging problems. If you feel like you're starting to fall behind, it is extremely important to come and see the teacher immediately. Let's have fun studying calculus!