Functions,Limits,Continuity & Derivatives
4.6 (11 ratings)
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Functions,Limits,Continuity & Derivatives

Learn everything in Functions,Limits-Continuity from graphs & Derivatives with Live Examples & Quizzes(w/ Certificate)
4.6 (11 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1,174 students enrolled
Last updated 5/2017
English
Curiosity Sale
Current price: $10 Original price: $150 Discount: 93% off
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Includes:
  • 7 hours on-demand video
  • 2 Articles
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Calculus is about how things change. It plays a starring role in all the major fields including Engineering, Research, Computer Programming, Physical, Biological, Social Sciences, etc. & can help you get your first job
  • Understand Functions, Recognizing Functions, Domain & Range, Average Rate of Change of Functions
  • Understand Even and odd Functions, Composite Functions & Inverse of a Function
  • Understand Limits, One-Sided Limits, Finding Limits and One-Sided Limits from Graphs
  • Understand Continuity, Finding Continuity of a Function from Graphs
  • Learn Everything in Derivatives including All the Derivative Rules, Trigonometric Derivatives, Exponential Derivatives & Logarithmic Derivatives
  • Understand Absolute and Relative Maxima and Minima of a Function
  • Understand Positive and Negative Intervals of a Functions
  • Understand Increasing and Decreasing Intervals of a Function
  • Domain and Range from Graphs
  • Domain of Radical and Rational Functions
View Curriculum
Requirements
  • The course just needs your interest. No other prerequisites for this course :)
Description

Calculus is about how things change. It deals with the rate of change of things & their nature with time. Calculus plays an important role in all the major fields including Engineering, Research, Computer Programming, Game Designing, Animation, Statistics & Probability, Business, Pharmacy, Physical, Biological & Social Sciences, etc. 

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                            Calculus 1 can help you get your first job and succeed in career

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This course is a first and friendly introduction to Calculus suitable for you if you have never seen the subject before, or know some calculus but want to review the concepts and practice applying those concepts to solve problems. The course covers everything in Calculus 1 and explains things by breaking them down into small steps. The course makes use of various Graphs and Figures to make one understand the real logic in a simple and easy way. There are numerous Live Worked Examples and Quizzes(with Solutions!) implemented in the course to make you practice questions with step-by-step live solutions, and also test your knowledge along way

This course is divided into 21 sections and has 55 lectures in total that will explain all the important aspects of Calculus 1 viz "Functions, Limits, Continuity and Derivatives" in a clear and concise manner. Following is the section-wise description of the course:

Section 1 is the Introduction which takes you through the course and its content through a short write-up.

Section 2 to Section 7 are on Functions which will cover :

  • Functions
  • Domain and Range of a Function
  • Average Rate of Change of a Function
  • Even and Odd Functions
  • Composite Functions
  • Inverse Function

Section 8 is on Limits and Continuity. In Limits and Continuity you will learn the main concept behind Limits and Continuity and also learn to figure out Limits and Continuity of functions from Graphs. Following is the list of topics you will learn in this section:

  • Introduction to the Limit of a Function
  • Finding Limits from Graphs
  • One-Sided Limits
  • Finding One-sided limits and Overall Limit from Graphs
  • Introduction to Continuity
  • Figuring the Continuity from Graphs


  • Section 9 to Section 15 are on Derivatives. Under Derivatives you will learn everything in derivatives including main concept behind Derivatives, the Derivative formula, all the Derivative Rules, Derivative of Trigonometric Functions, Exponential Functions and Logarithmic Functions, also popularly known as Trigonometric Derivatives, Exponential Derivatives and Logarithmic Derivatives. Following is the list of topics it covers:
  • Understanding Derivatives 
  • Derivative Rules
  • Trigonometric Derivatives
  • Exponential Derivatives
  • Logarithmic Derivatives


Section 16 - Section 20 cover some More Important Concepts on Functions. In these sections you will learn some more important concepts associated with Functions which are used in many day-to-day problems viz:

  • Absolute and Relative Maxima and Minima
  • Positive and Negative Intervals of a Functions
  • Increasing and Decreasing Intervals of a Function
  • Domain and Range from Graphs
  • Domain of Radical and Rational Functions


Section 21 is the Course Completion 

You will also receive an Official Certificate of Completion, with the Instructor's sign and Udemy's logo on it, upon completion of the course which can be presented during an interview or can be shared on LinkedIn, Facebook or any other useful platforms.  Here is a link to the sample Certificate which you will get:  https://support.udemy.com/hc/en-us/articles/229603868-Certificate-of-Completion


Who is the target audience?
  • Anybody who is Currently taking any Calculus course & is willing to strengthen the subject
  • Students who want Live Solved Examples on Calculus and learn step-by-step from them.
  • Students who want to revise the concepts of Calculus which they studied long time back.
  • Students looking for a Certification Course on Calculus to add-on to their qualifications.
  • Students who want to test their calculus knowledge through Quizzes.
  • Anybody who is a Parent and is looking for a good Calculus course for his/her child.
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Curriculum For This Course
56 Lectures
07:03:19
+
Introduction to the Course
1 Lecture 03:21
Introductory Article on the Course
03:21
+
Functions
3 Lectures 33:21

Recognizing if a given relation is Function or Not
16:17

Vertical Line Test
07:16

Test Yourself : Quiz
2 questions
+
Domain and Range of a Function
2 Lectures 09:47
Domain
04:23

Range
05:24
+
Average Rate of Change of a Function
3 Lectures 21:45
Understanding Average Rate of Change
04:20

Average Rate of Change from Graphs
10:06

Average Rate of Change from Equations
07:19

Test Yourself: Quiz
2 questions
+
Even and Odd Functions
2 Lectures 15:15

Even, odd or neither from Graphs
09:16

Test Yourself: Quiz
1 question
+
Composite Functions
3 Lectures 19:08
Understanding Composite Functions
12:37

Evaluating Composite Function from Equations
02:49

Evaluating Composite Function from Graphs
03:42

Test Yourself: Quiz
1 question
+
Inverse Function
3 Lectures 18:02
Understanding the Inverse of a Function
05:46

Finding the Inverse Function
08:03

Domain and Range of Inverse Function
04:13

Test Yourself: Quiz
1 question
+
Limits and Continuity
6 Lectures 47:08

Finding Limit from Graphs
06:13

One-Sided Limits
11:40

Finding One-sided limits and Overall Limit from Graphs
07:30

Introduction to Continuity
09:06

Figuring the Continuity from Graphs
07:08

Test Yourself: Quiz
3 questions
+
Derivatives
2 Lectures 27:43
Understanding Derivatives
11:05

+
Derivative Rules: Introduction
9 Lectures 53:19
Introduction to Derivative Rules
06:45

Derivative Rule #1: Derivative of a Constant
03:46

Derivative Rule #2: Multiplication by a Constant
04:38

Derivative Rule #3: Power Rule
06:22

Derivative Rule #4: Sum Rule
09:47

Derivative Rule #5: Difference Rule
03:29

Derivative Rule #6: Product Rule
04:55

Derivative Rule #7: Quotient Rule
05:33

Derivative Rule #8: Reciprocal Rule
08:04
11 More Sections
About the Instructor
Engineering Education Hub by Prateek Porwal
4.5 Average rating
63 Reviews
5,074 Students
4 Courses
Math and Electrical Engineering Educator at Udemy

 Prateek Porwal is an Alumnus of one of the most prestigious colleges of India -The Indian Institute of Technologies (IIT). The IITs are known throughout the world for their high quality education and academic discipline. After working as an Electrical engineer in a Multi-National Company for around 3 years, he decided to quit his highly paid job to pursue his passion towards teaching and never turned back. It has been his wonderful experience teaching students from around the world through online tutoring platforms. 

He likes to teach students and make their life happy and give a good shape to their career. He has taught thousands of students so far in the subjects of Electrical and Electronics Engineering, Maths and Physics  and is continuing to do so without any tiredness. His dedication and teaching expertise has made him one of the most sought after tutor on the platforms he teach.

We are sure his courses will turn out to be a boon for you and help you in making a good career. 

Wishing you all the best:)