This course will cover the following concepts
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.
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.
In this video, we learn the most basic form of differentiation.
In this video we will learn how to differentiate an expression containing two or more terms raised to a certain power.
This lecture is just a summary of case 2, it is in general form without actual terms or values.
In this video, we will learn the theory behind why the derivative of a constant is always equal to zero.
In this video, we will learn about the product rule.
In this video, we will further improve our understanding of the product rule by doing a relatively complex example.
In this video, we will learn one of the many applications of differentiation, which is how to find the coordinates of the turning point,
In this video, we will learn what integration is all about and its application.
In this video, we will learn the most basic kind of anti-derivatives.
In this video, we will learn how to take the anti-derivative of a linear expression raised to a certain power.
In this video, we will learn how to summarise case 2 and what important points to keep in mind before applying it.
In this video, we will learn how to take the anti-derative of a non-linear expression raised to a certain power.
In this video, we will learn how integration can be used to find the area under any curve.
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