⚙️ Applied Mathematics — Class 12

Commerce aur Social Science walon ke liye advanced applied maths — financial decisions, statistical inference, time series aur linear programming!

Code 241 NCERT 2024-25 80 Marks Theory 20 Marks Internal 240 Periods Roman Hindi
8
Units
80
Theory Marks
240
Periods (35 min)
24+
Interactive Labs

📚 Sabhi Units — Explore Karo

Unit I

Numbers, Quantification & Numerical Applications

Modulo arithmetic, alligation, aur real-world numerical problems

9 Marks25 Periods
  • Modulo Arithmetic aur Congruence
  • Alligation aur Mixture Problems
  • Numerical Inequalities
  • Boats, Streams, Pipes & Cisterns
  • Races aur Partnership
Explore Unit I →
Unit II

Algebra

Matrices, determinants aur linear equations ka powerful toolkit

10 Marks30 Periods
  • Matrices — types aur operations
  • Determinants — properties
  • Inverse of a Matrix
  • Cramer's Rule
  • System of Linear Equations
Explore Unit II →
Unit III

Calculus

Derivatives, integration aur differential equations — sabse zyada marks!

15 Marks45 Periods
  • Higher Order Derivatives
  • Maxima, Minima — Applications
  • Marginal Cost aur Revenue
  • Integration — Methods
  • Definite Integrals — Area
  • Differential Equations
Explore Unit III →
Unit IV

Probability Distributions

Discrete aur continuous distributions — binomial, Poisson, Normal

10 Marks30 Periods
  • Probability Distribution Table
  • Expected Value E(X) aur Variance
  • Binomial Distribution
  • Poisson Distribution
  • Normal Distribution
Explore Unit IV →
Unit V

Inferential Statistics

Sample se population ke baare mein conclusions nikalna

5 Marks15 Periods
  • Population vs Sample
  • Types of Sampling
  • t-Test (one sample, two sample)
  • Chi-Square Test
  • Hypothesis Testing steps
Explore Unit V →
Unit VI

Time Series & Index Numbers

Data trends analyze karo aur inflation measure karo

9 Marks25 Periods
  • Components of Time Series
  • Moving Averages (3-pt, 5-pt)
  • Trend by Least Squares
  • Laspeyre, Paasche, Fisher Index
  • Consumer Price Index (CPI)
Explore Unit VI →
Unit VII

Financial Mathematics

Perpetuity, bonds, NPV, stocks — advanced financial tools

15 Marks45 Periods
  • Perpetuity aur Growing Perpetuity
  • Sinking Fund — Bond Valuation
  • Net Present Value (NPV)
  • Internal Rate of Return (IRR)
  • Stocks, Shares aur Returns
Explore Unit VII →
Unit VIII

Linear Programming

Resource allocation — optimal decisions mathematically nikalo

7 Marks25 Periods
  • LPP Formulation
  • Feasible Region — Graphical Method
  • Diet Problem, Transport Problem
  • Manufacturing Problem
  • Multiple Optimal Solutions
Explore Unit VIII →

🎯 Board Exam Strategy — 80 Marks ka Plan

Calculus (15M) + Fin Maths (15M)Dono highest — formulas + numericals daily practice karo
Algebra (10M)Matrix operations + Cramer's rule — ek hi method practice karo
Prob Distributions (10M)Binomial aur Normal — standard formula + table use karna seekho
Numbers (9M)Modulo + alligation — easy marks, shortcuts yaad karo
Time Series (9M)Moving averages + Fisher index — table method practice karo
LP (7M)Graph banana + corner points — ek proper example daily karo