All About Class 11 Mathematics

All About Class 11 Mathematics

Negosentro.com | All About Class 11 Mathematics | The Central Board of Secondary Education has introduced a Class 11 Syllabus, i.e., Applied Mathematics. It is a combination of mathematical science along with specialized knowledge in various subjects. This subject illustrates the extensive use of mathematics by other areas such as Engineering, Physics, Medical, and more. As it is the latest introduction for a lot of students, this article discusses all the syllabus of CBSE class 11 applied mathematics.

About Applied Mathematics

Maths is an extensively used subject in various fields; it helps in the life of the student. It is also observed that the current Mathematics syllabus is appropriate for Science stream students but not with other streams like Commerce. Due to this, Applied Mathematics is introduced as an elective course to help the student make a brilliant career.

Applied Maths Syllabus ForCBSE Class 11 2020-21

In CBSE Class 11 Applied Mathematics subject, there are seven chapters, which are tabulated below. Go through topic name and marking scheme of CBSE 11th class Applied Mathematics Syllabus below:

Numbers, Quantification, and Numerical Applications

  • Prime Numbers, Encryptions using Prime Numbers
  • Complex Numbers (Preliminary idea only)
  • Indices, Logarithm and Antilogarithm
  • Binary Numbers
  • Simple applications of logarithm and antilogarithm
  • Laws and properties of logarithms
  • Numerical problems on averages, calendar, clock, time, work and distance, mensuration, seating arrangement

   Algebra           

  • Sets
  • Venn diagram
  • De Morgan’s laws
  • Problem-solving using Venn diagram
  • Types of sets
  • Introduction of Sequences, Series
  • Arithmetic and Geometric progression
  • Relations and types of relations
  • Basic concepts of Permutations and Combinations
  • Permutations, Circular Permutations, Permutations with restrictions
  • Relationship between AM and GM
  • Combinations with standard results

Mathematical Reasoning

  • Mathematically acceptable statements
  • Introduction to Mathematical Reasoning
  • Mathematically acceptable statements
  • Connecting phrases/words (“if and only if, “implies”, “implied by”, “and/or”, “there exists”, “and”, “or”, and their use via examples related to Mathematics and real life
  • Verifying the statements that involve converse, contrapositive, and contradiction
  • Problems based on logical reasoning (blood relation, odd man out, coding-decoding, syllogism, etc.)

Calculus

  • Introducing functions
  • Domain and Range of a function
  • Concept of limits and continuity of a function
  • Graphical representation of functions
  • Derivatives of algebraic functions using the Chain rule
  • Types of functions (Modulus function; Rational function; Logarithm function; Composite function; Exponential function; Polynomial function; Signum functionGreatest Integer function)
  • Differentiation is the process of finding derivatives.
  • Instantaneous rates of change
  • Tangent line and equations of tangents

Probability     

  • Mutually exclusive events, random experiment, events, sample space
  • Independent and Dependent Events
  • Bayes’ Theorem
  • Law of Total Probability

 Descriptive Statistics

Here is the syllabus for CBSE class 11 descriptive statistics:

  • Types of data (univariate data, bivariate, raw data, and multi-variate data)
  • Data on various scales (ordinal, interval, nominal, and ratio scale)
  • Data representation and visualization
  • Data interpretation (dispersion, deviation, skewness, variance, central tendency, and kurtosis)
  • Percentile rank
  • Quartile rank
  • Correlation (Spearman and Pearson method of correlation)
  • Applications of descriptive statistics with the help of real-time data

Basics of Financial Mathematics

  • Interest and rate of interest
  • Accumulation with simple interest and compound interest
  • Simple applications of regular annuities (up to 3 periods)
  • Simple interest rates and compound interest rates with an equivalency
  • Present value, net present value, and future value
  • The effective rate of interest
  • Tax, calculation of tax and simple applications of tax calculation in Goods and service tax, Income Tax
  • Annuities, calculating the value of the regular annuity
  • Bills, surcharge, fixed charge, tariff rates, and service charge
  • Calculation and understanding of water supply bill, electricity bill, and other supply bills

Coordinate Geometry   

Here is the syllabus for CBSE Class 11 Applied Maths Coordinate Geometry        

  • Circles
  • Straight Line, and
  • Parabola

(only graphical representation and standard forms on 2d plane)