Free online courseCalculus basics

Course Description

Calculus Basics is an exhaustive course designed for individuals embarking on their journey into the world of calculus. Spanning a comprehensive duration of 2 hours and 42 minutes, this course dives deep into the foundational concepts essential for mastering calculus.

The course begins with an introductory section, setting the stage for what’s to come and ensuring that students understand the importance and relevance of calculus in various fields. Following this, Lesson 1 elaborates on the question "Why Calculus?" providing a contextual framework for learners to appreciate the subject's significance and applications.

As students progress, Lesson 2 tackles one of the central concepts in calculus: limits. This lesson is crucial as it lays the groundwork for understanding continuous functions and the behavior of functions as they approach specific points. Next, the course delves into differentiation in Lesson 3, expounding on how to calculate the derivative of a function and elucidating its myriad applications.

Integration, another cornerstone of calculus, is thoroughly explored in Lesson 4. Here, students learn about integrating functions and the fundamental techniques to compute these integrals. Lessons 5 and 6 focus on functions themselves, providing a robust understanding of what functions are, how they are expressed, and their importance in calculus.

Building on this foundational knowledge, the course moves to advanced differentiation topics in Lesson 7 and Lesson 8, detailing how to find the derivatives of more complex functions. The nuances of derivatives, including situations where derivatives do not exist, are explored comprehensively in Lessons 9 and 10.

Moving forward, Lesson 11 discusses the derivative as a function in itself, reinforcing previous concepts and delving deeper into functional analysis. The course then transitions back to integration, comparing and contrasting it with addition in Lesson 12, and further exploring the integral of a function in Lessons 13 and 14.

Lessons 15 and 16 deliver critical insights into the relationship between differentiation and integration, underscoring their duality and interplay. These lessons also cover the distinctions and calculations pertaining to indefinite and definite integrals, thereby rounding out the course with a comprehensive understanding of these fundamental concepts.

This course, though detailed and rich in content, remains accessible under the Basic Studies category, making it ideal for beginners who are just getting started with calculus. Note that there are currently no reviews yet, offering you the opportunity to be among the first to evaluate and share your learning experience.