## Wednesday, November 12, 2014

### Dibrugarh University (5th Semester) - Mathematics Important Points for Nov' 2014 Exam

Matrices and Determinants
Q. Define Minor and Cofactors with examples.
Q. Distinguish between Matrices and Determinants.
Q. Mention Four Properties of Determinants.
Q. Define: Unit, Null, singular, Orthogonal, Diagonal, Square Matrices.
Q. When two matrices are conformable for Addition, subtraction and Multiplication.

Linear Programming
Q. Define: Feasible Region, Feasible Solution, slack and Surplus variables, Optimal Solution, Artificial Variables.
Q. What is linear programming? Mention its assumptions. Discuss the application of linear programming in business and commerce.
Q. Mention the limitations and scope of LPP.
Q. Who founded LPP? Discuss the graphical and simplex method of LPP.
Practical Problems:
Formulation
Graphical Method
Duality
Transportation (NWCM, LCM)

Calculus
Q. Define odd and even functions.
Q. State the first principles of derivatives.
Q. State the conditions for existence of a limit of a function at a point.
Q. When a function is said to be continuous?
Q. Discuss the application of derivatives.
Practical Problems:
(ii) Limit: Type 1, Type 2, Type 3 and Formula base questions
(iii) Derivatives, Second order derivative and Maxima and Minima.
(iv) Continuity: Basic Idea

Simple and Compound Interest:
Q. Define: Annuity Due, Perpetuity, Deferred annuity, Sinking fund.
Q. Distinguish between SI and CI.
Q. Mention various types of annuities.
Practical Problems:
Present value of an annuity – Purchase of assets on installment basis, Loan borrowed, Calculation of A, n, i.
Perpetuity – Scholarship, Donation to hospital, Tournament Prize money.
Amount Due – Sinking Fund, Replacement of machine, Redemption of debentures, Calculation of M, A, n, i.
SI and CI - Divide sum into two parts, Calculate P, N, i. follow question paper.