Learning calculus through discrete mathematics

In summary, there are several free online textbooks, courses, and lectures available that teach calculus through discrete mathematics. Examples include the "Discrete Mathematics with Applications" textbook by Susanna S. Epp, the "Discrete Calculus" textbook by George Cain, the "Discrete Mathematics for Computer Science" course on Coursera, and the "Calculus and Discrete Mathematics for Computer Science" course on MIT OpenCourseWare.
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Hello,

Are there any free online textbooks or resources that teach calculus through discrete mathematics or does that not exist?
 
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Hello,

There are actually several free online resources and textbooks that teach calculus through discrete mathematics. One popular option is the "Discrete Mathematics with Applications" textbook by Susanna S. Epp, which covers both discrete mathematics and calculus concepts. Another option is the "Discrete Calculus" textbook by George Cain, which specifically focuses on using discrete mathematics to understand calculus.

In addition to textbooks, there are also many online courses and lectures that cover this topic. Some examples include the "Discrete Mathematics for Computer Science" course on Coursera, and the "Calculus and Discrete Mathematics for Computer Science" course on MIT OpenCourseWare.

I hope this helps!
 

FAQ: Learning calculus through discrete mathematics

What is the difference between calculus and discrete mathematics?

Calculus is a branch of mathematics that deals with continuous change, while discrete mathematics deals with discrete objects and structures.

How can discrete mathematics be used to understand calculus?

Discrete mathematics provides a foundation for calculus by introducing concepts such as functions, limits, and sequences, which are essential for understanding calculus.

Is it necessary to have a strong background in discrete mathematics to learn calculus?

While a strong understanding of discrete mathematics can be helpful in learning calculus, it is not necessary. Many concepts in discrete mathematics can be taught alongside calculus, making it accessible to those without a strong background in the subject.

Can learning calculus through discrete mathematics make it easier to understand?

For some students, learning calculus through discrete mathematics can make it easier to understand. Discrete mathematics offers a more concrete and visual approach to understanding calculus concepts, which can be helpful for those who struggle with abstract concepts.

What are some real-world applications of learning calculus through discrete mathematics?

Understanding calculus through discrete mathematics can have many real-world applications, such as in computer science, engineering, and data analysis. It can also help in problem-solving and critical thinking skills, which are valuable in various industries and professions.

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