Nguồn ngoài
Active Prelude to Calculus
This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. The reader will find that the text requires them to engage actively with the material.
- Tác giả
- Matthew Boelkins, David Austin & Steven Schlicker
- Nhà xuất bản
- Grand Valley State University
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 34 mục
- 01: Relating Changing Quantities
- 1.01: Changing in Tandem
- 1.02: Functions- Modeling Relationships
- 1.03: The Average Rate of Change of a Function
- 1.04: Linear Functions
- 1.05: Quadratic Functions
- 1.06: Composite Functions
- 1.07: Inverse Functions
- 1.08: Transformations of Functions
- 1.09: Combining Functions
- 02: Circular Functions
- 2.01: Traversing Circles
- 2.02: The Unit Circle
- 2.03: The Sine and Cosine Functions
- 2.04: Sinusoidal Functions
- 03: Exponential and Logarithmic Functions
- 3.01: Exponential Growth and Decay
- 3.02: Modeling with exponential functions
- 3.03: The special number e
- 3.04: What a logarithm is
- 3.05: Properties and applications of logarithmic functions
- 3.06: Modeling temperature and population
- 04: Trigonometry
- 4.01: Right triangles
- 4.02: The Tangent Function
- 4.03: Inverses of trigonometric functions
- 4.04: Finding Angles
- 4.05: Other Trigonometric Functions and Identities
- 05: Polynomial and Rational Functions
- 5.01: Infinity limits and power functions
- 5.02: Polynomials
- 5.03: Modeling with polynomial functions
- 5.04: Rational Functions
- 5.05: Key features of rational functions