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A Textbook of B.Sc. Mathematics (Volume 1) ( Part-1)
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ISBN
:
9788121910330
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Publisher
:
S. Chand Publisher
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Subject
:
Mathematics
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Binding
:
Paperback
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Pages
:
532
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Year
:
2009
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140.0
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Description
For 1st Semester Banglore University (As per New Syllabus) Table of Contents Chapter 1: Mathematical Logic 1.1 Introduction 1.2 Definition 1.3 Open Sentences 1.4 Compund open sentences 1.5 Quantifiers 1.6 Negation of a quantified statement 1.7 Rules of interference and proofs 1.8 Methods of Proof Chapter 2: Relations and Functions 2.1 Introduction 2.2 Relations 2.3 Types of Relations 2.4 Equivalence Relation 2.5 Equivalence classes and partition of a set 2.6 Functions 2.7 Types of Functions 2.8 Inverse Functions 2.9 Results related to inverse Functions 2.10 Set theoretical properties of Functions 2.11 Composition of Functions 2.12 Results on Composition ofFunctions Chapter 3: Differential Calculus 3.1 Introduction 3.2 Successive Differentiation 3.3 nth derivative of some standard functions 3.4 Leibnitz's Theorem 3.5 Functions of two or more variables 3.6 Partial Differentiation 3.7 Homogeneous Functions 3.8 Total derivative and Total differential 3.9 Jacobians 3.10 Properties of Jacobians Chapter 4: Integral Calculus 4.1 Introduction 4.2 Table of Standard Integrals and Properties of Definite Integrals 4.3 Reduction Formulae 4.4 Differentiation under the Integral sign-Leibnitz's Rule Chapte 5: Analytical Geometry 5.1 Coordinate System 5.2 Rectangular catesian coordinates in three dimension space 5.3 Distance Formula 5.4 Section Formula 5.5 Direction cosines and Dirction ratios 5.6 Angle betwwwn the Lines 5.7 Projection on a line 5.8 Area of a trinagle and Volume of a tetrahedron ......... .......... ....... ....... 5.29 Shapes and Certain Central Conicoids 5.30 The Paraboloids Question Paper, 2004 Question Paper, 2005 Question Paper, 2006 Question Paper, 2007
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