CBSE Mathematics is intended for science subjects and has been found to be inappropriate for students pursuing university-level Commerce or Humanities related courses. Keeping this in view, the Central Board of Secondary Education (CBSE) has developed Applied Mathematics as a new academic elective at the Senior Secondary level. The topics covered in the curriculum will allow students to use mathematical skills in the field of business, economic, and social sciences. 

  • The Applied Mathematics curriculum consists of important business management calculations topics like calculus. 
  • Calculus plays a vital role in taxes, profit, and revenue calculations which are very important for any business
  • The calculus unit holds a weightage of ten marks in the CBSE Applied Mathematics theory exam.
  • The calculus branch of mathematics is made up of two fields- differential calculus and integral calculus.
  • The introduction of the former i.e. differential calculus will be discussed in the 11th standard, while the latter integral calculus will be discussed in detail in the CBSE 12th Applied Mathematics Syllabus.
  • The new academic elective will be eligible for students of Class 11 from the academic year 2020-21 session. 

CBSE Class 11 Applied Maths Calculus 

Calculus is a division of mathematics that allows one to consider changes in values associated with a function. For example, given a formula that shows how much money one gets every day, the calculus will help one understand the related formulas, such as how much money one has in total, and whether one gets more or less money than before.

  • The calculus branch of mathematics is made up of two fields- differential calculus and integral calculus.
  • Differential calculus divides things into small (different) pieces and tells us how they change from one moment to the next.
  • Differential calculus plays a valuable role in management and business for decision making in production (e.g. supply of raw material, wage rates, and taxes).
  • integral calculus joins (integrates) the small pieces together, and tells us how much of something is made, overall, by a series of changes. 
  • Calculus finds applications in a lot of daily life problems such as weather prediction, bridges designing, surveying huge data, etc.
  • Calculus is used in many different areas such as physics, astronomy, biology, engineering, economics, medicine, and sociology.

CBSE Class 11 Applied Maths Calculus Syllabus 2020-21

CBSE Class 11 Applied Maths Calculus holds a weightage of 10 Marks in the 80 marks Theory exam. The updated Class 11 topic-wise Applied Mathematics Calculus Syllabus is listed below:

Topics In Calculus
Introducing functions
Domain and Range of a function
Types of functions (Polynomial function; Rational function; Composite function; Logarithm function; Exponential function; Modulus function; Greatest Integer function, Signum function)
Graphical representation of functions
Concept of limits and continuity of a function
Instantaneous rates of change
Differentiation as a process of finding derivative
Derivatives of algebraic functions using the Chain rule
Tangent line and equations of tangents

CBSE Class 11 Applied Maths Calculus Study Material PDF

Calculus is an easy and scoring topic if studied with the correct approach and methodology. Candidates can refer to some of the below-mentioned preparation tips to become more confident, and successful in calculus.

  • Develop an effective and time-efficient schedule for practicing problems regularly.
  • Go through with the conceptual meaning of the definition before starting practicing questions of Limits, Derivatives, Integrals, continuity, etc.
  • Firstly understand limits and continuity, then start derivatives as many concepts of previous topics are used in solving questions of the next topic.
  • Revise trigonometry and algebra to excel in calculus, you will be able to grasp new concepts of calculus only if your basics of algebra and Trigo are clear.
  • Rather than learning chain rule, quotient rule, by parts rule, etc, solve questions on them until you remember them by heart.
  • Try to understand the meaning of the definition, like derivative is just the instantaneous rate of change at a specific time.
  • Attempt solved examples and then solve the exercise questions to evaluate your knowledge about the concept.
  • After studying all the subjects according to the latest syllabus and exam pattern, start your evaluation during which you need to solve the CBSE Sample Papers.

Calculus and Its Applications

Calculus is used in almost every branch of fields like social sciences, actuarial sciences, computer sciences, stats, aerospace, economics, business, medicine, demographic shifts, etc, or wherever a problem can be mathematically modeled and an optimal solution is desired. 

Candidates can understand the importance of Calculus by reviewing these daily life problems which are solved using calculus concepts like derivatives, integrals, etc.

  • A stone is dropped into a quiet lake and waves move in circles at a speed

of 4cm per second. At the instant, when the radius of the circular wave is 10 cm, how

fast is the enclosed area increasing?

  • The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^2+ 36x + 5. Find the marginal revenue, when x = 5, whereby marginal revenue we mean the rate of change of total revenue for the number of items sold at an instant.
  • The total cost C(x) in Rupees, associated with the production of x units of

an item is given by

C(x) = 0.005 x^3– 0.02 x^2+ 30x + 5000

Find the marginal cost when 3 units are produced, whereby marginal cost means the instantaneous rate of change of total cost at any level of output.

FAQ's

What is the difference in the Calculus syllabus of Applied Mathematics and Mathematics?

CBSE class 11th Mathematics Calculus unit holds a weightage of seven marks and comprises of Limits and Derivatives whereas CBSE class 11 Applied Maths Calculus holds a weightage of 10 Marks and comprises of Functions, Limits, Continuity, Derivatives, and tangents. 

How to prepare for CBSE Class 11th Applied Mathematics Calculus Unit?

Calculus is a simple and insightful subject if learned with the right approach and technique. First, go through the definitions, then try to solve examples, and after that practice unsolved exercise questions to excel in calculus.

How to download CBSE Class 11 Applied Maths Calculus Study Material PDF?

Candidates can download the CBSE Class 11 Applied Maths Calculus Study Material PDF and applied maths calculus notes class 11 pdf directly by clicking on the download links mentioned above.

How is the CBSE class 11th applied maths calculus useful for commerce students?

Calculus plays a vital role in taxes, profit, and revenue calculations which are very important for Commerce students, For example, given a formula that shows how much money one gets every day, the calculus will help one understand the related formulas, such as how much money one has in total, and whether one gets more or less money than before.

What is the difference between the subjects 'Mathematics' and 'Applied Mathematics'?

Existing mathematics for senior secondary school is a course designed for students to pursue pure mathematics / physical science/engineering at the university level. However, many students want to learn mathematics which is useful for better performance in their chosen subjects; 'Applied Mathematics' is intended for these students and the curriculum focuses on the application of mathematics.

Can a student opt for both ‘Mathematics ’ and ‘Applied Mathematics’?

No. There is only one option, either Mathematics or Applied Mathematics.