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11th Business Mathematics and Statistics(EMS) - TamilNadu State Board (English Medium)

11th Business Mathematics and Statistics(EMS) - TamilNadu State Board (English Medium)



Business Maths 11th std - 11th Business Mathematics and Statistics(EMS)




Chapter 1 : Matrices and Determinants


1. Determinants - Introduction, Definition, Formula, Solved Example Problems, Exercise | Mathematics
2. Inverse of a matrix - Definition, Formula, Solved Example Problems, Exercise | Mathematics
3. Input - output Analysis - Definition, Formula, Solved Example Problems, Exercise | Mathematics
4. Exercise 1.1: Determinants - Problem Questions with Answer, Solution | Business Mathematics
5. Exercise 1.2: Inverse of a matrix - Problem Questions with Answer, Solution | Business Mathematics
6. Exercise 1.3: Solution of a system of linear equations by matrix Inverse Method - Problem Questions with Answer, Solution | Business Mathematics
7. Exercise 1.4: Determinants: Input output Analysis - Problem Questions with Answer, Solution | Business Mathematics
8. Exercise 1.5: Choose the correct answer - Matrices and Determinants
9. Matrices and Determinants: Miscellaneous Problems - Problem Questions with Answer, Solution | Business Mathematics



Chapter 2 : Algebra


1. Partial Fractions - Introduction, Definition, Formula, Solved Example Problems, Exercise | Mathematics
2. Permutations - Introduction, Definition, Formula, Solved Example Problems, Exercise | Mathematics
3. Combinations - Definition, Formula, Solved Example Problems, Exercise | Mathematics
4. Mathematical induction - Definition, Formula, Solved Example Problems, Exercise | Mathematics
5. Binomial theorem - Definition, Formula, Theorem, Solved Example Problems, Exercise | Mathematics
6. Exercise 2.1: Partial Fractions - Problem Questions with Answer, Solution | Business Mathematics
7. Exercise 2.2: Principle of counting - Problem Questions with Answer, Solution | Business Mathematics
8. Exercise 2.3: Permutations - Problem Questions with Answer, Solution | Business Mathematics
9. Exercise 2.4: Combinations - Problem Questions with Answer, Solution | Algebra | Business Mathematics
10. Exercise 2.5: Mathematical induction - Problem Questions with Answer, Solution | Business Mathematics
11. Exercise 2.6: Binomial theorem - Problem Questions with Answer, Solution | Business Mathematics
12. Exercise 2.7: Choose the correct answer - Algebra | Business Mathematics and Statistics
13. Algebra: Miscellaneous Problems - Problem Questions with Answer, Solution | Business Mathematics



Chapter 3 : Analytical Geometry


1. Analytical Geometry' Introduction - Introduction | Mathematics
2. Locus - Definition, Formula, Solved Example Problems, Exercise | Mathematics
3. System of straight lines - Definition, Formula, Solved Example Problems, Exercise | Mathematics
4. Pair of straight lines - Definition, Formula, Solved Example Problems, Exercise | Mathematics
5. Circles - Definition, equation, Formula, Solved Example Problems, Exercise | Mathematics
6. Conics - Definition, equation, Formula, Solved Example Problems, Exercise | Mathematics
7. Exercise 3.1: Locus - Problem Questions with Answer, Solution | Analytical Geometry
8. Exercise 3.2: System of straight lines - Problem Questions with Answer, Solution | Analytical Geometry
9. Exercise 3.3: Pair of straight lines - Problem Questions with Answer, Solution | Analytical Geometry
10. Exercise 3.4: Circles - Problem Questions with Answer, Solution | Analytical Geometry
11. Exercise 3.5: Tangents - Problem Questions with Answer, Solution | Analytical Geometry
12. Exercise 3.6: Conics - Problem Questions with Answer, Solution | Analytical Geometry
13. Exercise 3.7: Choose the correct answer - Analytical Geometry | Mathematics
14. Analytical Geometry: Miscellaneous problems - Analytical Geometry | Mathematics



Chapter 4 : Trigonometry


1. Trigonometry: Introduction - Definition, Formula, Solved Example Problems, Exercise | Mathematics
2. Trigonometric ratios - Definition, Formula, Solved Example Problems, Exercise | Mathematics
3. Trigonometric ratios of compound angles - Definition, Formula, Solved Example Problems, Exercise | Mathematics
4. Transformation formulae - Solved Example Problems, Exercise | Mathematics
5. Inverse Trigonometric Functions - Definition, Formula, Solved Example Problems, Exercise | Mathematics
6. Exercise 4.1: Trigonometric ratios - Problem Questions with Answer, Solution | Trigonometry | Mathematics
7. Exercise 4.2: Trigonometric ratios of compound angles - Problem Questions with Answer, Solution | Trigonometry | Mathematics
8. Exercise 4.3: Transformation formulae - Problem Questions with Answer, Solution | Trigonometry | Mathematics
9. Exercise 4.4: Inverse Trigonometric Functions - Problem Questions with Answer, Solution | Trigonometry | Mathematics
10. Exercise 4.5: Choose the correct answer - Trigonometry | Mathematics
11. Trigonometry: Miscellaneous Problems - Mathematics



Chapter 5 : Differential Calculus


1. Differential Calculus: Introduction - Mathematics
2. Functions and their graphs - basic concepts, Solved Example Problems, Exercise | Differential Calculus | Mathematics
3. Limits and derivatives - Definition, Formula, Solved Example Problems, Exercise | Differential Calculus | Mathematics
4. Differentiation techniques - Formula, Solved Example Problems, Exercise | Differential Calculus | Mathematics
5. Exercise 5.1: Differential Calculus Functions and their graphs - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
6. Exercise 5.2: Limits - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
7. Exercise 5.3: Limits: continuous functions - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
8. Exercise 5.4: Derivatives - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
9. Exercise 5.5: General rules for differentiation - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
10. Exercise 5.6: Derivative of implicit functions - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
11. Exercise 5.7: Logarithmic differentiation - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
12. Exercise 5.8: Differentiation of parametric functions - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
13. Exercise 5.9: Successive differentiation - Problem Questions with Answer, Solution | Differential Calculus | Mathematics
14. Exercise 5.10: Choose the correct answer - Differential Calculus | Mathematics
15. Differential Calculus: Miscellaneous Problems - Problem Questions with Answer, Solution | Mathematics



Chapter 6: Applications of Differentiation


1. Applications of Differentiation - Maths
2. Applications of differentiation in business and economics - Maths
3. Demand, supply, cost, revenue and profit functions - Applications of differentiation in business and economics
4. Elasticity - Applications of differentiation in business and economics
5. Maxima and minima - Applications of differentiation in business and economics
6. Increasing and decreasing functions - Maxima and minima - Applications of Differentiation
7. Stationary Value of a function - Maxima and minima - Applications of Differentiation
8. Local and Global(Absolute) Maxima and Minima - Maxima and minima - Applications of Differentiation
9. Problems on profit maximization and minimization of cost function - Applications of Differentiation maxima and minima
10. Inventory control - Applications of Differentiation maxima and minima
11. Economic Order Quantity(EOQ) - Applications of Differentiation maxima and minima
12. Partial Derivatives - Applications of Differentiation
13. Successive partial derivatives - Applications of Differentiation
14. Euler�s theorem and its applications - Applications of Differentiation
15. Production function and marginal productivities of two variables - Applications of partial derivatives
16. Partial elasticity of demand - Applications of partial derivatives
17. Summary - Applications of Differentiation - Applications of Differentiation
18. Exercise 6.1: Demand, supply, cost, revenue and profit functions, Elasticity - Problem Questions with Answer, Solution | Applications of Differentiation | Mathematics
19. Exercise 6.2: Problems on profit maximization and minimization of cost function - Problem Questions with Answer, Solution | Applications of Differentiation | Mathematics
20. Exercise 6.3: Economic Order Quantity(EOQ) - Problem Questions with Answer, Solution | Applications of Differentiation | Mathematics
21. Exercise 6.4: Euler�s theorem and its applications - Problem Questions with Answer, Solution | Applications of Differentiation | Mathematics
22. Exercise 6.5: Partial elasticity of demand - Problem Questions with Answer, Solution | Applications of Differentiation | Mathematics
23. Exercise 6.6: Choose the correct answer - Applications of Differentiation | Mathematics
24. Applications of Differentiation: Miscellaneous Problems - Problem Questions with Answer, Solution | Mathematics



Chapter 7: Financial Mathematics


1. Financial Mathematics - Maths
2. Annuities - Financial Mathematics
3. Types of annuities - Financial Mathematics
4. Example Problems for Annuities - Financial Mathematics
5. Stocks, shares, debentures and Brokerage - Financial Mathematics
6. Summary of Financial Mathematics - Financial Mathematics
7. Exercise 7.1: Annuities - Problem Questions with Answer, Solution | Financial Mathematics
8. Exercise 7.2: Stocks, shares, debentures and Brokerage - Problem Questions with Answer, Solution | Financial Mathematics
9. Exercise 7.3: Choose the correct answer - Financial Mathematics
10. Financial Mathematics: Miscellaneous Problems - Problem Questions with Answer, Solution



Chapter 8: Descriptive statistics and probability


1. Measures of central tendency - Descriptive statistics and probability
2. Average - Measures of central tendency
3. Related Positional Measures - Quartiles, Deciles and Percentiles - Measures of central tendency
4. Computations for Related positional measure - Measures of central tendency
5. Geometric mean - Measures of central tendency
6. Harmonic mean - Measures of central tendency
7. Relationship among the averages - Measures of central tendency
8. Measures of dispersion - Descriptive statistics and probability
9. Quartile Deviation - Measures of dispersion
10. Mean deviation - Measures of dispersion
11. Probability - Maths
12. Basic concepts of Probability - Probability
13. Independent and Dependent events - Probability
14. Conditional Probability - Probability
15. Baye�s Theorem - Probability
16. Summary of Descriptive statistics and probability - Probability
17. Exercise 8.1: Quartiles, Mean deviation - Problem Questions with Answer, Solution | Descriptive statistics and probability
18. Exercise 8.2: Baye�s Theorem - Problem Questions with Answer, Solution | Descriptive statistics and probability
19. Exercise 8.3: Choose the correct answer - Descriptive statistics and probability
20. Descriptive statistics and probability: Miscellaneous Problems - Problem Questions with Answer, Solution



Chapter 9: Correlation and Regression analysis


1. Correlation - Maths
2. Spearman�s Rank Correlation Coefficient - Correlation and Regression analysis
3. Regression Analysis - Maths
4. Solved Example Problems for Regression Analysis - Maths
5. Summary of Correlation and Regression analysis - Maths
6. Exercise 9.1: Spearman�s Rank Correlation Coefficient - Problem Questions with Answer, Solution | Correlation and Regression analysis | Statistics
7. Exercise 9.2: Regression Analysis - Problem Questions with Answer, Solution | Correlation and Regression analysis | Statistics
8. Exercise 9.3: Choose the correct answer - Correlation and Regression analysis | Statistics
9. Correlation and Regression analysis: Miscellaneous Problems - Problem Questions with Answer, Solution | Statistics



Chapter 10: Operations Research


1. Operations Research - Maths
2. Linear programming problem - Operations Research
3. Mathematical formulation of a linear programming problem - Linear programming problem
4. Solution of LPP by graphical method - Linear programming problem
5. Network Analysis - Operations Research
6. Construction of network - Network Analysis
7. Critical path analysis - Network Analysis
8. Summary of Operations Research - Maths
9. Exercise 10.1: Solution of LPP by graphical method - Problem Questions with Answer, Solution | Operations Research
10. Exercise 10.2: Critical path analysis - Problem Questions with Answer, Solution | Operations Research
11. Exercise 10.3: Choose the correct answer - Operations Research
12. Operations Research: Miscellaneous problems - Problem Questions with Answer, Solution




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