Functions, Limits & Continuity

Introduction To Calculus

What you'll learn
Finding Limits of Functions
Intermediate Level Calculus used in several competitive exams
Requirements
Be able to read graphs
Be acquainted with Quadratic Equations & Trigonometry
Description
The aim behind this course is to create a deep understanding of the basic principles of Calculus and to build a solid foundation that will allow you to pursue more advanced topics such as differentiation, integration and differential equations.

The course starts with some preliminary topics like the Binomial Theorem and some topics regarding the XY Plane. We then enter the world of actual calculus as we start off with Functions. We discuss the different types of functions and how to deal with them. We gradually build up to the notion of Limits and Continuity and discuss some great tricks and techniques to evaluate them in different situations.

This course has been structured to allow any student to enroll. I start by covering topics which I feel may or may not have been covered in the school curriculum, but are necessary to gain a deeper understanding of several concepts and results that we will discover. If you feel that you haven't learnt some of the topics as well as you want, you can go through the external links and resources I have added in the Prerequisites section.

The best approach to the course should be to follow the order that the lectures have been presented in. After each lecture, the student should go through the given resources, that is the handouts for each lecture. They have been specifically written for to provide a deeper understanding and allow you to practice the content of the lecture. Each handout consists of theory and examples as well as a few practice problems. The handouts should only be used as a reference after watching the lecture, and not as standalone theory or notes. If you find yourself having any queries or doubts, feel free to reach out in the Q&A section of the lectures.

Finally, I hope you enjoy the course and gain an appreciation for the subject.

Please note that those under 18 may use the services only if a parent or guardian opens their account, handles any enrollments, and manages their account usage

Who this course is for:
People of any age interested in Higher Level Math
Students interested in appearing for competitive examinations such as JEE Mains, CETs, SAT, ACT or AMC
Students who wish to dig deeper in grade 12 Math curriculum or AP Calculus