Integrals in Mathematics

Description

Hi!

My name is Alison.

I'm an analytical person with a science background, that has a passion for complex problem solving. I have a PhD in Science and I currently work as a Software Developer.

I'm here to teach you Maths, Chemistry, Physics and Programming.

I present my courses in a clear, logical and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.

Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.

In this specific course we will learn various concepts about integrals in mathematics

                                                                                                                                                                                                                                            

1) First, we will introduce what is an indefinite integral and what is the integration constant

                                                                                                       

2) Afterwards, we will explain what is a definite integral                                                         

3)   Next, we will look at the geometrical interpretation of an integral                                                                                                                                                                                                                                                                                                                                                  

4) Then we will introduce a few examples of basic functions and their integrals.                                                                                                                                                                                                                                                                                                                               

5) We will learn the main integration rules with examples: the constant rule, sum rule, difference rule, multiply rule, divide rule.

6) Then, we will see three integration techniques with examples (integration by parts, integration of rational functions, integration by change of variable)

                                                                                                                             

7) Next, we will see what are multiple integrals (double and triple integrals) and we will solve them with an example

8) Finally, I will show you the relationship between derivatives and integrals      

                                                                                                                                                                                                                        

I hope you enjoy this course, find it easy and learn a lot with me

Good luck and see you soon

Alison           

What You Will Learn!

• What is an indefinite integral and the integration constant
• What is a definite integral
• Geometrical interpretation of an integral
• Fundamental integrals with examples
• Integration rules for a constant, sum, difference, multiplication and division
• Integration by parts
• Integration of rational functions
• Integration by change of variable
• Multiple integrals (double and triple)
• Comparing integrals vs derivatives

Who Should Attend!

• Basic and intermediate mathematics learners
• University students
• GCSE students
• People interested in learning maths

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