Differentiation and Integration made easy
4.8 (2 ratings)
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Differentiation and Integration made easy

Learn the applications and techniques of differentiation and integration today through short and to the point lectures!
4.8 (2 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.
320 students enrolled
Created by Saad Saleem
Last updated 7/2017
English
Price: Free
Includes:
  • 1 hour on-demand video
  • 3 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Differentiate and integrate with confidence, which will help them in basic and advanced Calculus
  • Applications of differentiation and integration
View Curriculum
Requirements
  • Basic knowledge of concepts related to coordinate geometry, exponents and functions
Description

This course will cover the following concepts

  1. The applications of Differentiation and Integration
  2. Basic Differentiation
  3. Product Rule
  4. Quotient Rule
  5. Basic Integration
  6. Differentiating trigonometric functions
  7. Differentiating exponential functions
  8. Difference between definitive and indefinite integrals
  9. Area under the curve 
  10. The constant rule
  11. Integration by Substitution
  12. Integrating trigonometric functions
  13. Differentiating exponential functions


NOTE: This course only covers the basics of differentiation and integration and does NOT cover concepts like integration by parts, limits, integration using ln functions or partial fractions.



Who is the target audience?
  • Anyone who wants to learn the basics of differentiation and integration
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Curriculum For This Course
+
Differentiation
9 Lectures 33:01

This video is a brief introduction to differentiation. In this video, we will learn the purpose of differentiation and how its used to calculate slope(s) at different points.

Introduction to Differentiation
04:10

In this video, we learn the most basic form of differentiation.

Differentiation: Case 1
01:09

In this video we will learn how to differentiate an expression containing two or more terms raised to a certain power.

Differentiation: Case 2
02:55

This lecture is just a summary of case 2, it is in general form without actual terms or values.

Differentiation: Case 2 (Summary)
01:49

In this video, we will learn the theory behind why the derivative of a constant is always equal to zero.

Differentiation: Case 3
02:31

In this video, we will learn about the product rule.

Differentiation: Case 4 (Product Rule)
06:08

In this video, we will further improve our understanding of the product rule by doing a relatively complex example.

Differentiation: Case 4 (Example Question)
03:13

Differentiation: Case 5 (Quotient rule)
04:42

In this video, we will learn one of the many applications of differentiation, which is how to find the coordinates of the turning point,

Differentiation: How to find the turning point
06:24
+
Integration
7 Lectures 21:33

In this video, we will learn what integration is all about and its application.

Integration: Intro to integration
04:39

In this video, we will learn the most basic kind of anti-derivatives.

Integration: Case 1
01:57

In this video, we will learn how to take the anti-derivative of a linear expression raised to a certain power.

Integration: Case 2
01:44

In this video, we will learn how to summarise case 2 and what important points to keep in mind before applying it. 

Integration: Case 2 (Summary)
01:32

In this video, we will learn how to take the anti-derative of a non-linear expression raised to a certain power.

Integration: Example 3
02:18

Integration: Case 4 (Integration by Substitution)
03:55

In this video, we will learn how integration can be used to find the area under any curve.

Integration: Finding the area under the curve
05:28
About the Instructor
Saad Saleem
4.8 Average rating
2 Reviews
320 Students
1 Course
Pursuing a double major in Mathematics and Economics.

CEO and Co-founder of an institute with the name of The Learner's Room in Karachi, Pakistan, which is responsible for preparing students for IGCSE, O and A level exams. Previously worked in various institutes as a senior Mathematics Instructor of aptitude tests such as SAT, GMAT, MCAT and ECAT. Also responsible for preparing students for the tests of local universities such as Institute of Business Administration (IBA), Institute of Business Management (IoBM) and Shaheed Zulfikar Ali Bhutto Institute of Science and Technology (SZABIST).

Also worked as a teacher's associate for courses like College Algebra, Introduction to calculus, Advanced Calculus, Linear Algebra etc etc.

Passions include teaching, sports, cycling and philosophy.

“Whatever the mind can conceive and believe, the mind can achieve.” - Napoleon Hill