Applied Mathematics Class 11 Syllabus

Applied Mathematics Class 11 Syllabus
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Applied Mathematics Class 11 Syllabus

There are eight units – (i) Numbers, Quantification and Numerical Applications, (ii) Algebra, (iii) Mathematical Reasoning, (iv) Calculus, (v) Probability, (vi) Descriptive Statistics, (vii) Basics of Financial Mathematics, and (viii) Coordinate Geometry.

Course Structure

INumbers, Quantification and Numerical Applications9
IIIMathematical Reasoning6
VIDescriptive Statistics12
VIIBasics of Financial Mathematics18
VIIICoordinate Geometry5

Unit I: Numbers, Quantification and Numerical Applications

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

Unit II: Algebra

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

Unit III: Mathematical and Logical Reasoning

  • Mathematically acceptable statements
  • Connecting words/ phrases in Mathematical statement consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics
  • Problems based on logical reasoning (coding-decoding, odd man out, blood relation, syllogism etc)

Unit IV: 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 Chain rule
  • Tangent line and equations of tangents

Unit V: Probability

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

Unit VI: Descriptive Statistics

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

Unit VII: Basics of Financial Mathematics

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

(Comparing interest rates on various types of savings; calculating income tax; electricity bills, water bill; service surcharge using realistic data)

Unit VIII: Coordinate Geometry

  • Straight Line
  • Circles
  • Parabola

(only standard forms and graphical representation on two-dimensional plane)

Applied Mathematics Class 11 Syllabus

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