オンラインシラバス

2019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
選択
Smith

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 6 - Differential Equations
- 6.4 First-Order Linear Differential Equations

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!