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B.Com-Accounting & Finance Curriculum - Madras Christian College

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BUSINESS MATHEMATICS AND STATISTICS - I<br />

Semester - I Total hours: 90<br />

Allied – I Total Credits: 5<br />

Objectives:<br />

Impart sound knowledge on the application of mathematical techniques for business decision-making and logical<br />

reasoning<br />

UNIT I<br />

Algebra – Ratio- Proportion- Arithmetic Progression- Geometric Progression<br />

UNIT II<br />

Interest – Simple Interest- <strong>Com</strong>pound Interest- Discount on bills- Annuities- Annuity certain- Annuity due-<br />

Immediate Annuity- Annuity Contingent- Perpetual Annuity- Deferred Annuity- present Value<br />

UNIT III<br />

Matrix- Definition- Types of matrices- Matrix Operations- Transpose of a matrix- Inverse of a matrix- Solving<br />

simultaneous equations- matrix method- Crammer’s rule.<br />

UNIT IV<br />

Calculus: Differentiation- rules- parametric- Successive differentiation- maxima and Minima- Points of Inflexion-<br />

Application of derivatives in decision- making(excluding trigonometric functions)<br />

UNIT V<br />

Calculus: Integration- Indefinite and Definite integration- Integration by substitution- By parts- Application of<br />

Integration in decision-making (excluding trigonometric functions)<br />

BOOKS RECOMMENDED<br />

1. Sanchetti & Kapoor, Business Mathematics, K G Saur, 1979<br />

2. Draper and Klingman, Mathematical Analysis, Harper & Row, 1986<br />

3. Copper, Business Research methods, R D Irwin, 1985<br />

4. Levine, Business Statistics, Prentice Hall, 1998<br />

5. R.F.J Dewhurst, Mathematics for Accountants and Managers, Prentice Hall<br />

6. Loven Rubin, Kirk Patrik, Quantitative approaches to Management, Sultan Chand, 2004

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