Business Mathematics Important Topics [Dibrugarh University Bcom 4th Sem CBCS Pattern]

Business Mathematics Important Topics
Dibrugarh University Bcom 4^th Sem CBCS Pattern

1. Theory 20 to 24 Marks

2. Practical 60 to 56 Marks                                                 

First Part

1. Question Carrying 2 Marks (5 Questions of 2 Marks each = 10 Marks)

- Out of 7 questions you have to attempt only 5.

Next Part

2. 5 Questions of 14 Marks each (5 x 14 = 70 Marks)

- 1 Question carrying 2 Marks

- 1 Question carrying 3 Marks

- 1 Question carrying 4 Marks

- 1 Question carrying 5 Marks

Key Topics:

- Cramer’s rule or matrix inversion method  5 Marks

- Multiplication of two matrix or determinants  3 Marks

- Mathematical operations of matrices  2 Marks

- Calculation of value of X and Y

- Properties of Determinants related questions

- 1 Question carrying 2 Marks (Functions)

- 1 Question carrying 3 Marks (Limit)

- 1 Question carrying 4 Marks (Derivatives and Continuity)

- 1 Question carrying 5 Marks (Derivatives, maxima & minima and Continuity)

Key Topics: (refer our question bank)

- 1 Question carrying 2 Marks

- 1 Question carrying 3 Marks

- 1 Question carrying 4 Marks

- 1 Question carrying 5 Marks

Key Topics: (refer our question bank)

- 1 Question carrying 2 Marks (Theory)

- 1 Question carrying 3 Marks (Compound Interest)

- 1 Question carrying 4 Marks (Compound Interest)

- 1 Question carrying 5 Marks (Annuities)

Key Topics:

- Effective rate of return

- Depreciation

- Follow Amount due and PV question of annuities

- Calculation of P, R, T in case of compound interest

- 1 Question carrying 2 Marks (Theory)

- 1 Question carrying 3 Marks (Theory)

- 1 Question carrying 4 Marks (Most Probably Theory)

- 1 Question carrying 5 Marks (Formulation and Graphical method of LPP)

Key Topics: Follow our notes and Question Bank

Chapter wise Important Theory

1. What is matrix?

2. Define determinants. What are various properties of determinants?

3. What is minor and cofactors?

4. Distinguish between matrix and determinants.

5. What are various types of matrix? Define them.

(a) Row matrix.

(b) Column matrix.

(c) Square matrix.

(d) Diagonal matrix.

(e) Unit matrix.

(f) Null Matrix

(g) Rectangular matrices.

(h) Singular matrix.

(i) Scalar matrix:

6. Define a symmetric matrix. Give example also.

7. What is Transpose of a matrix?

1. What do you mean by LPP? What are its assumptions and Limitations?

2. Define a surplus variable and a slack variable.

3. Write the usefulness of LPP in solving business problems.

4. Who had developed LPP? Write the mathematical model of LPP.

5. Write a short note on the application of LPP.

6. What do you mean by duality in LPP? What are the uses of duality in LPP?

7. When is Simplex method used to solve an LPP?

8.Explain various special cases in Graphical method of linear programming

- Unbounded solution

- Multiple optimal solution.

- Infeasible Solution

- Degenerate solution

1. Define and Distinguish between Simple Interest and Compound Interest? (2023)

2. What are "Effective rate of Interest" and "Nominal rate of Interest"? (2023)

3. Write the relation between the Effective rate of interest and the Nominal rate of interest. (2024)

4. Define Perpetuity and Deferred Annuity. (2023)

5. What do you mean by the Present Worth of an annuity? (2023, 2024)

6. What do you mean by annuity? Discuss in detail the various types of Annuities. (2023, 2024)

7. Write down the definition of sinking fund and perpetuity.

1. What is function? What are its various types?

2. What is odd and even function?

3. What are the conditions for the existence of the limit of a function at a point? (2022)

4. Define the continuity of a function at a point. (2024)

5. Give the geometric interpretation of dy/dx. (2022)

6. Write the "First Principle" of derivatives. (2024)

7. If u = f(x, y) is a function, define the partial derivatives ∂u/∂x and ∂u/∂y. (2023, 2024)

8. What do you mean by a "Homogeneous Function"? (2024)

9. What do you mean by "Total Differential"? (2024)