Business Mathematics Syllabus For B.B.A. Ist Year of Awadhesh Pratap Singh University, Barkatullah University, Devi Ahilya University, Dr. Harisingh Gour University, Jiwaji University, Rani Durgavati Vishwavidyalaya, Vikram University.

Unit-1 Ratio—Gaining and Sacrificing Ratio, Proportion, Percentage, Averages—Simple and Weighted Averages.
Unit-2 Simultaneous Equations—Meaning, Characteristics Types and Calculations, Preparation of Invoice.
Unit-3 Determinants and Matrices, Matrix-Definition. Types, Basic Operations on Matrices, Transpose of Matrix. DeterminantsMinors and Co factor. Adjoint and Inverse of Matrix.
Unit-4 Practical approach and application of Vedic Maths. Logarithms and Antilogarithms —Principles and Calculations. Simple and Compound Interest.
Unit-5 Commission, Discount, Brokerage and Profit and Loss

Business Mathematics Book Contents

1. Brief History of Vedic Mathematics (In Indian Knowledge Tradition)
2. Addition, Multiplication, Division, Square and Square Root of Numbers Through Vedic Mathematics (Methods And Practice of Quick Calculation)
3. Method of Quick Verification of Answers From Digit Sum
4. Rules For Sign In Algebra and Practice
5. Rules For Calculation (Bodmas) and Practice
6. Simultaneous Equations
7. Theory of Indices
8. Logarithms and Antilogarithms
9. Ratio
10. Proportion
11. Discount
12. Commission and Brokerage
13. Averages
14. Profit and Loss
15. Simple Interest
16. Compound Interest
17. Sacrificing Ratio and Gaining Ratio
18. Percentage
19. Preparation of Invoice
20. Elementary Matrices
21. Determinants–Minors and Co-Factor
22. Adjoint and Inverse of Matrix
    Logarithms, Antilogarithms Tables 

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The paper of Business Mathematics concentrates on the conceptual understanding of the crucial aspect of Business Mathematics. The objective of this course is to familiarize the students with the basic mathematical tools with emphasis on applications to business and economic situation. Students are expected to acquire a working knowledge in this paper. The importance o this subject is growing over the years due to various factors. While preparing the book as per new syllabus prescribed by Lucknow University, Lucknow for BBA Semester I care has been taken to present the subject matter in a logical sequence to facilitate easy understanding by the students. Small illustrations have been incorporated in each chapter to explain the concepts dealt with in the chapter. Another helpful feature is the addition of Long Answer Type Questions, Short Answer Type Questions, Objective Type Questions, and Numerical Problems with Answers at the end of each chapter which will help the students in preparing for the examination.

Business Mathematics Syllabus For B.B.A Semester I of Lucknow Universit

Unit I: Summation of sets, Arithmetical Progression : Sum of a series in A.P. Arithmetic Mean, Geometric Progression, Sum of a series in G.P, Geometrical Mean, Sum of an infinite geometric series, Permutation and combination, Fundamental rules of counting Permutation of ‘n’ different things, Permutation of thing not all different, Circular permutation, Combination of n different things r at a time, Simple problems.

Unit II: Matrix Algebra: Definition, Matrix Operations: Addition, Subtraction, and Multiplication of matrices, Types of matrices: Square, Diagonal, null, Transpose of a matrix. A determinant of a Square matrix. Singular and non-singular matrix, Co-factor matrix, adjoint of a matrix, Inverse of a matrix. A solution of a simultaneous equation by using matrices.

Unit III: Differential Calculus: Differentiation, Differentiation of a product of two functions, Differentiation of a quotient of two functions, Differentiation of a function, Differentiation of a logarithmic and exponential function, Differentiation of implicit function, Maxima and Minima, Simple problems. (Trigonometrical function are excluded)

Unit IV: Integral Calculus, Fundamental rules of integration, Integration by substitution, integration by parts. Integration by decomposition into a sum using partial fractions (Simple Problem), Simple business applications (Trigonometrical functions are excluded).

Business Mathematics Book Contents:

1. Summation of Sets
2. Arithmetic Progression
3. Geometric Progression
4. Permutation and Combination
5. Matrix
6. Matrix Inverse and Simultaneous Equations
7. Differential Calculus
8. Maxima and Minima
9. Integral Calculus
10. Definite Integral
11. Applications of Integration in Business

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इस संस्करण की भाषा अत्यन्त सरल व सामान्य बोलचाल की कर दी गई है ताकि विद्यार्थी सांख्यिकी जैसे विषय को आसानी से समझ सकें। विद्यार्थियों के हित को ध्यान में रखते हुए पुस्तक में केवल बी. काॅम. (ऑनर्स) स्तर के उदाहरण तथा अभ्यास के लिए संख्यात्मक प्रश्न दिए गए हैं।
विभिन्न विश्वविद्यालयों की परीक्षाओं में पूछे गए लगभग सभी संख्यात्मक प्रश्नों को पूर्ण हल सहित तथा कुछ प्रश्नों को अभ्यास के लिए उत्तर सहित दिया गया है।

जिन क्षेत्रों में विकल्प सूत्रों का व्यवहार है या सम्भव है, वहां पर अनेक वैकल्पिक व्यवहार के उदाहरण प्रस्तुत किए गए हैं। सभी प्रकार के (सहज/कठिन) उदाहरणों को हल सहित प्रस्तुत किया गया है, जिससे छात्रों की परीक्षा के लिए तैयारी सरल हो सके।

व्यावसायिक गणित Business Mathematics Book विषय-सूची

1. आव्यूह
2. सारणिक
3. समान्तर श्रेढी
4. गुणोत्तर श्रेढी
5. हरात्मक श्रेढी
6. क्रमचय एवं संचय
7. अनुपात
8. समानुपात
9. प्रतिशतता
10. लाभ एवं हानि
11. साधारण ब्याज
12. चक्रवृद्धि ब्याज

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The post Business Mathematics appeared first on Sahitya Bhawan Publications.

Students are expected to acquire working knowledge in this paper. The importance of this subject is growing over the years due to various factors. While preparing the book care has been taken to present the subject matter in a logical sequence to facilitate easy understanding by the students.

Small illustrations have been incorporated in each chapter to explain the concepts dealt with in the chapter. Numerical Questions set in latest Examination Question Papers of various universities of Madhya Pradesh have been incorporated in the book.

Another helpful feature is the addition of Long Answer Type Questions, Short Answer Type Questions, Objective Type Questions, and Numerical Problems with Answers at the end of each chapter which will help the students in preparing for the examination.

Business Mathematics Syllabus For B.B.A. I Year of Awadhesh Pratap Singh University, Devi Ahilya University, Rani Durgavati Vishwavidyalaya, Dr. Harisingh Gour University, Barkatullah University, Jiwaji University, Vikram University

Unit-I: Introduction to Sets. Forms and Types of a set. Venn Diagram. Basic Operations on Set. Union and Intersection of Set. Demorgan’s Law for two sets.

Unit-II: Linear Equations in Two variable. A solution of Linear Equation. Linear Equations. Solution Set for equalities. Graphical Solution Quadratic Equations. Root and Coefficient of Quadratic Equations. The relation between Root and Coefficient.

Unit-III: Determinants and Matrices, Matrix-Definition. Types. Basic Operation on Matrices. Transpose of Matrix. Determinants. Minors and Cofactor. Adjoint and Inverse of Matrix.

Unit-IV:  Limits, Continuity and Logarithms, Differential Calculus: Differentiations of Algebraic. Exponential and Logarithmic Function (Introductory), Logarithm-Use of logarithmic formulae.

Unit-V: Calculus Integral Calculus: Standard formulas on Algebraic. Exponential and Logarithmic integral. Definite and indefinite integral (Introductory). Maxima and minima Functions.

Business Mathematics Book Contents

1. Introduction to Sets
2. Linear Equations in Two Variables
3. Quadratic Equations
4. Determinant
5. Matrix
6. Limits and Continuity
7. Logarithm
8. Differential Calculus
9. Integral Calculus
10. Definite and Indefinite Integral
11. Maxima and Minima Functions

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पुस्तक को अत्यन्त सरल भाषा में इस वैज्ञानिक ढंग से लिखा गया है कि विद्यार्थियों को व्यावसायिक गणित जैसे क्लिष्ट विषय को समझने में कठिनाई अनुभव न हो। उदाहरणों, जो हिन्दी तथा अंग्रेजी दोनों भाषा में हैं, को इस क्रम से रखा गया है कि विद्यार्थी विषय को आसानी से समझ सकें। पुस्तक में विद्यार्थियों की सुविधा के लिए अत्यन्त महत्वपूर्ण प्रश्नों को उनके हल करने के लिए संकेत तथा उत्तर सहित, सम्मिलित किया गया है। पुस्तक की अद्वितीय विशेषता यह है कि इसमें छत्तीसगढ़ के विभिन्न विश्वविद्यालयों के पिछले 15 वर्षों के परीक्षा प्रश्नों को उदाहरणों के रूप में और अभ्यास हेतु प्रश्नों को प्रत्येक अध्याय के अन्त में उत्तर सहित सम्मिलित किया गया है। पुस्तक में उदाहरणों तथा अभ्यास हेतु अनेक नए प्रश्नों का समावेश किया गया है।

Business Mathematics Syllabus For B.Com. Part I of Baster University, Atal Bihari Vajpayee Vishwavidyalaya Bilaspur, Pandit Ravishankar Shukla University Raipur (PRSU), Sarguja University Ambikapur and B.Com. III Semester of Guru Ghasidas Vishwavidyalaya Bilaspur (GGU)

Unit – I: Simultaneous Equations – Meaning, Characteristics, Methods of Solving Equations in Two Variables – Graphical, Substitution, Elimination, and Cross Multiplication. Linear Programming – Formulation of LLP: Graphical method of solution; Problems relating to two variables including the case of mixed constraints.

Unit – II: Matrices and Determinants: Definition of a matrix; Type of a matrix; Algebra of matrices; Properties of determinants; Calculation of values of determinants to third-order; Logarithms & Antilogarithms.

Unit – III: Simple Interest and Compound Interest. Annuities: Types of annuities; Present value and amount of an annuity, including the case of continuous compounding; Valuation of simple loans and debentures; Problems relating to sinking funds.

Unit – IV: Ratio & Proportion. Average – Simple, Weighted and Statistical Averages (Arithmetic Mean). Percentage.

Unit – V: Commission, Brokerage, Discount, Profit, and loss. Transportation Problem.

व्यावसायिक गणित Business Mathematics Book विषय-सूची

1. अवकलन
2. उच्चिष्ठ एवं निम्निष्ठ: द्वितीय या उच्च क्रम के अवकलजों का समावेश एक चर के लिए
3. लघुगणक के सिद्धान्त
4. सारणिक
5. आव्यूह
6. आव्यूह व्युत्क्रम एवं युगपत् समीकरण
7. रेखीय प्रक्रमन
8. परिवहन समस्या
9. अनुपात
10. समानुपात
11. विभिन्न प्रकार की ब्याज दरें
12. चक्रवृद्धि ब्याज
13. वार्षिकी
14. साधारण ब्याज एवं चक्रवृद्धि ब्याज पर आधारित किस्त सम्बन्धी समस्याएं
15. साधारण ऋण एवं ऋणपत्र का मूल्यांकन
16. शोधन निधि
17. औसत
18. प्रतिशतता
19. डिस्काउण्ट, कमीशन एवं दलाली
20. लाभ एवं हानि

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The unique feature of the book is that a new chapter on Simultaneous equations has been included in the book covering all topics of Unit-I of the new syllabus. Every possible care has been taken to remove errors of print or principle. Still, we stand apologetic for the errors, if any, having crept in the book unnoticed. The illustrations and exercises with Ans. have been selected from Examination Papers of the last fifteen years of various universities of Chhattisgarh and have been given topic-wise.

Business Mathematics Syllabus For B.Com. Part I of MATS University, Pandit Ravishankar Shukla University, Bastar University, Atal Bihari Vajpayee Vishwavidyalaya Bilaspur, Sarguja University, Guru Ghasidas University Bilaspur

Unit – I: Simultaneous Equations – Meaning, Characteristics, Methods of Solving Equations in Two Variables – Graphical, Substitution, Elimination, and Cross Multiplication. Linear Programming – Formulation of LLP: Graphical method of solution; Problems relating to two variables including the case of mixed constraints.

Unit – II: Matrices and Determinants: Definition of a matrix; Type of a matrix; Algebra of matrices; Properties of determinants; Calculation of values of determinants to third order; Logarithms & Antilogarithms.

Unit – III: Simple Interest and Compound Interest. Annuities: Types of annuities; Present value and amount of an annuity, including the case of continuous compounding; Valuation of simple loans and debentures; Problems relating to sinking funds.

Unit – IV: Ratio & Proportion. Average – Simple, Weighted and Statistical Averages (Arithmetic Mean). Percentage.

Unit – V: Commission, Brokerage, Discount, Profit, and loss. Transportation Problem.

Business Mathematics Book Contents

1. Simultaneous Equations
2. Linear Programming
3. Matrix
4. Determinant
5. Theory Of Logarithms And Antilogarithms
6. Simple Interest
7. Compound Interest
8. Problems Related With Instalments Based On Simple Interest And Compound Interest
9. Annuity
10. Valuation Of Simple Loans And Debentures
11. Sinking Funds
12. Ratio
13. Proportion
14. Average
15. Percentage
16. Discount, Commission And Brokerage
17. Profit And Loss
18. Transportation Problem
19. Matrix Inverse
20. Linear Equations
21. Quadratic Equations
22. Laws Of Indices
23. Speed, Distance And Time
24. Bills Discounting

• Appendix A: Logarithms Tables
• Appendix B: Antilogarithms Tables

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• B.Com Ist, IInd Semester of Shri Agrasen Kanya PG College Varanasi.
• B.Com (Hons.) IInd Semester of Kumaun University.
• B.Com (Hons.) Ist Year of Mahatma Jyotiba Phule Rohilkhand University.
• B.Com IIIrd Year of Bundelkhand University, Pt. Deendayal Upadhyay Gorakhpur University, Siddharth University.

Business Mathematics Book Contents

1. Simple Interest
2. Compound Interest
3. Concept of Present Value
4. True Discount And Banker’S Discount
5. Annuity
6. Valuation of Simple Loan And Debenture
7. Problems Relating To Sinking Funds
8. Percentage
9. Profit And Loss
10. Ratio
11. Laws of Indices
12. Linear Equations
13. Quadratic Equations
14. Arithmetic Progression
15. Geometric Progression
16. Harmonic Progression
17. Elementary Permutation And Combination
18. Theory of Probability
19. Determinant
20. Matrix
21. Matrix Inverse
22. Solutions of A System of Linear Equations
23. Linear Programming
24. Transportation Problem
25. Functions And Limits
26. Differentiation
27. Maxima And Minima
28. Some Applications of Derivatives
29. Integration
30. Definite Integral

• Logarithms Tables
• Antilogarithms Tables

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