Talk about lines, curves, functions and limits?

[franz32]

Can anyone show me websites or links that talk about lines, curves, functions and limits? It will be better if these sites or links are interactive. If not interactive, it's ok.

 

[LostInSpace]

http://math.etsu.edu/MultiCalc/

Very good site!

 

[tacman]

Lines, curves, functions, and limits are fundamental concepts in mathematics that are heavily used in various fields such as calculus, physics, and engineering. Understanding these concepts is crucial for solving problems and making predictions in these fields.

Lines are straight, continuous paths that extend infinitely in both directions. They are represented by the equation y = mx + b, where m is the slope and b is the y-intercept. Lines are used to represent relationships between variables, such as distance and time, or temperature and pressure.

Curves, on the other hand, are not straight and can take on various shapes. They can be represented by equations such as y = x^2 or y = sin(x). Curves are used to model real-world phenomena, such as the trajectory of a projectile or the growth of a population.

Functions are mathematical rules that map one set of numbers to another set of numbers. They can be represented by an equation, a graph, or a table. Functions are used to describe relationships between variables and are essential tools in calculus.

Limits are a key concept in calculus that describes the behavior of a function as the input approaches a certain value. They are used to find the instantaneous rate of change, or slope, of a curve at a specific point. Limits are also used to define the derivative, which is a fundamental concept in calculus.

There are many websites and links available that explain these concepts in detail and provide interactive demonstrations and exercises. Some recommended websites are Khan Academy, Mathisfun, and Desmos. These sites offer interactive lessons, videos, and practice problems on lines, curves, functions, and limits. They also provide step-by-step solutions to problems and allow users to graph and manipulate functions to better understand their behavior.

In addition to these websites, there are also many online textbooks and lecture notes available that cover these concepts in depth. Some popular textbooks include Calculus by James Stewart and Calculus: Early Transcendentals by Howard Anton.

Overall, understanding lines, curves, functions, and limits is crucial for success in mathematics and other fields that heavily rely on these concepts. The websites and links mentioned above are great resources to learn and practice these concepts in an interactive and engaging manner.