Differential Calculus for Physicists

Rate of Change , Rules for Derivative, Geometrical Meaning and Maxima Minima

You will learn what is average growth rate (or average rate of change) and its difference from growth rate (or rate of change). You will be introduced to calculating growth rate (also called derivative) using a very interesting example of a very strange baby growing at an exceedingly fast rate. Also you will be introduced to the different rules to calculate more complicated derivatives with the chain rule being the most complex one among them. I have solved lots of problems involving chain rule to give maximum clarity to you. Also some of the problems have been solved using logarithms which makes solving quite easy in some situations. A few problems involving implicit differentiation also have been solved as such situations may often occur in many topics .You will be seeing a lot of problems being solved in these lectures using different rules of derivatives and finally introduced to the concepts of geometrical meaning, maxima and minima and problems pertaining to them. The geometrical meaning of derivative is one of the most widely used concepts particularly in areas of physics like graphs in kinematics (or Mechanics). Also when we encounter words like maximum, minimum, least, greatest etc one of the most popular ways of solving such problems is calculus. Sometimes the calculus route may be the only way to solve such problems.

What you’ll learn

• You will learn about the meaning of the sentence “rate of change”.
• You will learn about rate of change of a quantity.
• you will learn geometrical meaning of derivative.
• You will learn the concepts of maxima and minima.

Course Content

• Introduction –> 10 lectures • 1hr 59min.
• Practise Sessions –> 11 lectures • 2hr 15min.
• Geometrical Meaning of derivative and Maxima Minima –> 5 lectures • 1hr 13min.

Requirements

• Some basic idea of coordinate geometry and trigonometry.

You will learn what is average growth rate (or average rate of change) and its difference from growth rate (or rate of change). You will be introduced to calculating growth rate (also called derivative) using a very interesting example of a very strange baby growing at an exceedingly fast rate. Also you will be introduced to the different rules to calculate more complicated derivatives with the chain rule being the most complex one among them. I have solved lots of problems involving chain rule to give maximum clarity to you. Also some of the problems have been solved using logarithms which makes solving quite easy in some situations. A few problems involving implicit differentiation also have been solved as such situations may often occur in many topics .You will be seeing a lot of problems being solved in these lectures using different rules of derivatives and finally introduced to the concepts of geometrical meaning, maxima and minima and problems pertaining to them. The geometrical meaning of derivative is one of the most widely used concepts particularly in areas of physics like graphs in kinematics (or Mechanics). Also when we encounter words like maximum, minimum, least, greatest etc one of the most popular ways of solving such problems is calculus. Sometimes the calculus route may be the only way to solve such problems.

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