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Syllabus BCA103
Advanced Mathematics
Gujarat University FY BCA Syllabus (Revised) Effective from June, 2006
| 1. | Set Theory | 15% |
| Introduction to set theory, Methods of representation of a set, Operations on set / Properties ( with logical & Venn – diagrammatic proofs), examples related to Venn–diagrams, Cartesian product | ||
| 2. | Functions | 10% |
| Definition of function, Classification of functions, Domain and range of functions, Introduction to Lin ear, Quadratic, Higher degree functions, Exponential, logarithmic functions examples related to logarithmic to trigonometric functions, Break-Even Analysis. | ||
| 3. | Introducation To Matrices | 10% |
| Definition of Matrix, Types of Matrices ( Square, Row / Column, Identity, Null, Triangular Transpose, Symmetric, Skew- symmetric, Scalar, Diagonal, Matrix.), Arithmetic operation on Matrices ( Addition,Subtraction, Multiplication of Matrices) | ||
| 4. | Co-ordinate Geometry | 15% |
| Introduction to Co-ordinate, Quadrants and Lines. | ||
| Distance between two points in R2 (without proof),Section formula (without proof), Area of the triangle ( without proof ) | ||
| Co-linearity of points, Equation of Straight line, General Equation of line, Angle bet ween two lines (without proof), parallel and Perpendicular Lines and related example. | ||
| 5. | Limit And Continuity | 10% |
| LIMIT: Definition of Limit, Some Standard Limits (without proof). | ||
| CONTINUITY: Definition of Continuity, Condition for the function to be Continuous, Discontinuity. | ||
| 6. | Differntion And Its Applications | 10% |
| DIFFERNTION: Definition of Derivative, Rules of Differentiation (without proof). Derivatives of Algebraic, Trigonometric, Parametric, Logarithmic, Explicit / Implicit Functions, Second order Derivative with examples. | ||
| APPLICATTIONS OF DERIVATIVE: Maxima / Minim of Functions, Business Application. | ||
| 7. | Integration And Its Applications | 10% |
| INTEGRATION: Definition of Interaction, Standard Formulas, Method of Substitution, Integration by parts, Partial fraction, Reduction Formulas (without proof) (Sinnx dx, Conx dx) | ||
| APPLICATION OF INTEGRATION: Area Bounded by Curve (Excluding volume). Business Application examples | ||
| 8. | Differential Equations | 10% |
| Introduction to Differential equation Order / Degree of Differential equations, Solution of Differential equations, Variable Separable Method, Exact Differential method, General and particular solution. | ||
| TEXT BOOK: | ||
| Business Mathematics By DR.D.C. Sancheti & V.K.Kapoor. | ||
| S.CHAND & SONS PUBLICATIONS | ||
| REFERNCE BOOKS | ||
| Shantinarayan ( for Differentiation). | ||
| Schaum Series (for Basic Math’s). | ||
| Shantinarayan (for Coordinate Geometry). | ||
| Shantinarayan (for Integration) |
| Total Marks of this Subject | 100 Marks |
| External (University ) Examination | 70 Marks |
| Internal Sessional Examination | 20 Marks |
| Term Work | 10 Marks |
| Teaching Hours per week | 3 Hrs |
| Practicals | No Practicles |
Last Updated on 9th Jun 2009