Our aim in choosing the sample lessons is to give the student a good idea of the content that will be available in the courses, and also to provide something useful irrespective of whether he / she chooses to join our course.

Therefore in these lessons, we give an introduction to Calculus and Vectors, which we hope will be useful, especially to the Class XI student in his/her study of Physics. In order to keep the content in Calculus brief and still explain the main concepts, we have limited our coverage to algebraic functions.

We have also provided lessons on Kinematics of translational motion and Newton's laws to illustrate the use of calculus and vectors. The content available under subscription will be similar, but will have MORE EXAMPLES, and will completely cover the IIT-JEE syllabus.

If you can access the Physics lessons below VIA YOUR BROWSER, you should be able to access our online content without any issue. Note the content opens in a new window which you can maximize. You can select 'Page Width' from the dropdown at page-top, for larger font size. You need not close this window; as you click other Physics lessons, they will continue to open in this window.

All files below are in PDF format, between 400 KB and 700 KB in size. The Math content is downloadable, and can be read using Adobe Reader 8 or higher. The Physics content is NOT downloadable (like rest of our content), and needs to be read in the browser (a recent version of Chrome is preferable).

Sample Lessons	Description
Introduction to Calculus and Vectors
Functions	Concept of functions; some common functions; sum, difference, product and quotient of functions; composite functions.
Limits and Continuity	Concept of limit of a function; right hand and left hand limits; some limit examples; concept of continuity of functions and some examples.
Derivatives (Part 1)	Concept of derivative; derivative examples; relationship between continuity and differentiability; sum, product and quotient rule for derivatives; chain rule for composite functions; higher order derivatives.
Derivatives (Part 2)	Parametric curves; Implicit differentiation; extreme values of functions; Rolle's theorem and Mean Value theorem; some examples.
Integration	Antiderivatives; definite integral and some properties; Fundamental theorem of calculus; Substitution rule; First order differential equation with separable variables.
Vectors (Part 1)	Concept of vectors; vectors in component form; addition and subtraction of vectors; multiplication of a vector by a scalar; dot product and cross product of vectors; calculus of vector functions.
Kinematics of translational motion, and Newton's laws of motion
Kinematics of translational motion (Part 1)	Motion along a straight line; straight line motion with uniform acceleration; examples; motion in 3D space.
Kinematics of translational motion (Part 2)	Projectile motion; examples; uniform circular motion; relative velocity.
Newton's laws of motion	Concept of force; Newton's first law and inertial frames; Newton's second law; Newton's third law; common forces like friction, normal force, weight, tension; application of Newton's laws with examples; Newton's 2nd law in a non-inertial frame.

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