Calculus 1 Fundamentals (Udemy.com)
Master the building blocks of Calculus : Limits & Derivatives
Created by: Tanmay Varshney
Last updated July 2020
What you will learn
- Limits: Conceptual understanding of limits,various rules and theorems including the handy ones: The L’Hospital rule and the Sandwich theorem to deal with all kind of problems related to limits.
- Derivatives: Finding derivatives of all functions,The First principle of derivative,the Product Rule,the Quotient rule along with the most important,The Chain rule.
- A lot of practice problems and quizzes along with exposure to problems useful in competitive exams also.
How it compares
Against the other 127 rated Udemy courses in Math on CourseDuck:
- Rating4.0 out of 5among the lower-rated ones
- Reviews92#108 of 128 by number of reviews
- Length2.8 hoursshorter than 85% of them
- Last updatedJuly 2020earlier than 77% of them
Course Description
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Calculus is the study of change with its primary focus on:
1. Rate of Change (Differentiation Calculus)
2. Accumulation (Integral Calculus)
Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.
It allows one to go from (non-constant) rates of change to the total change or vice versa, and many times in studying a problem we know one and are trying to find the other.
In this course, we will be covering the building blocks of Calculus : Limits and Derivatives(Differential Calculus) in an interactive manner with the help of 15+ video lectures, miscellaneous examples, quizzes and solutions.
Calculus Fundamentals: Section 1 - LIMITS
Concept of Limits: For making you familiar with the notion of the Limit.
Existence of Limits: Introduction to the Left Hand Limit and the Right Hand Limit.
Algebra of Limits: Addition, Subtraction, Multiplication and Division in Limits.
L’Hospital Rule: A handy tool to circumvent the common indeterminate forms when computing limits.
The Sandwich Theorem: To evaluate limits of functions that can't be computed at a given point.
Limits of Trigonometric Functions: To cover the important limit identities of trigonometric functions.
Limits at Infinity: To evaluate limits at points tending to positive and negative infinity.
Calculus Fundamentals: Section 2 - DERIVATIVES
Concept of Derivatives: Meaning of the term "Derivative" in Mathematics.
First Principle of Derivatives: The conventional way of computing derivatives.
Algebra of Derivatives: Addition, Subtraction, Multiplication and Division in Derivatives.
Derivatives of common functions: To set you free to calculate derivative of combination of any functions.
The Chain Rule: To calculate the derivatives of composite functions no matter how complex they are.
Calculus Fundamentals: Section 3 - FORMULAE & REFERENCES
For a quick glance over the formulae and notations used throughout the course.
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Enrol in this course, Learn the fundamentals and Master the calculus.
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Updated now with Practice Worksheets for Limits and Derivatives - The MORE you practice, the BETTER you become.
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Instructor Details
- 4.0 Rating
92 Reviews
Tanmay Varshney
I am a Senior Software Engineer with vast experience of working in top tech giant companies.
I am having more than 6 years of industry and teaching experience in domains like:
1. Designing scalable architecture for complex and distributed systems.
2. Developing components in a system across the full stack.
3. Solving complex data structures and algorithms related problems.
These are the major skills needed to be a good software developer who can excel in any tech company easily. I am really passionate to share my knowledge and expertise with all of you.
Thus, I am onboard to create awesome technical courses on Udemy based on my expertise which can be understood in the simplest manner.
Come, join me in this learning adventure!! I will be more than happy to help my students anytime.
------------------------------- ENROLL, LEARN, MASTER ------------------------------
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Reviews
By Karishma on 9/12/2018
teaching method is not so appropriate. Course is not arranged sequence wise. It lacks to show lots of details. A beginner can not study from this course. Lots of confusion. I have watched khan academy videos to make my self understand better.Please try to improve.Thanks.
By Anonymized User on 8/1/2018
tough start, hard to read
By Tony Ruiz on 4/2/2018
I liked it. The instructor covered a lot. But some problems were rushed and hard to follow. I believe a few modifications, rehearsing the rules and explanations would make the difference.
By Ramanarayan Goswami on 3/14/2018
I am quiet pleased by the way instructor explains the concepts of Calculus very easily.Practice problems are also of a good level.Nice work.. Would recommend to my friends who were struggling with the Calculus basics.
By Sebastian Solomon on 2/20/2018
The instructor was very thorough and comprehensive in Calculus. The lessons have been made simple enough for better understanding. I have learned much more about derivatives and will be glad to learn about integrals.
By Farhat Anwar on 2/16/2018
Explanation needs further clarification
By Tabish K on 1/27/2018
This is the course I was looking for..!! Definitely,a great work from the instructor. Crisp and simple to clear all the basics of Calculus. Examples also are of a very good level. I strongly recommend students to enroll in this course if they want to start on a great note in Calculus.
By Abhishek Lodha on 1/7/2018
The course is fantastic. I thoroughly enjoyed it. I liked the examples as they brought more clarity to the subject. I recommend this class to everyone looking to start calculus because of the teaching style. I learned a great deal and the quizzes were even challenging and fair to everyone.
By Nitasha Gupta on 12/27/2017
The course is very well structured to clear the basics of limits and derivatives. Especially,a variety of examples helped me in strengthening my concepts. Looking forward for more of your video courses to master even further in calculus.!!
By Rubal Sharma on 12/26/2017
To be very honest i have just watched the first video, but from the very first video only, i could reckon as to how illustrative and precise the entire course would be. Gr8 work buddy.
Quality Score
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Overall Score : 80 / 100






