Topics In Mathematics Calculus And Ordinary Differential Equations

Table Of Contents :
PART A : CALCULUS
SECTION I
1*.   Limits and Continuity
2*.   Derivability
3.    Successive Differentiation
4.    General Theorems
5.    Expansions
6.    Asymptotes
7.    Curvature
8.    Multiple Points, Tests for Concavity and Convexity, Points of Inflexion
9.    Curve Tracing

SECTION II
10.  Reduction Formulaes
11.  Rectification
12.  Quadrature (Areas of Curves)
13.  Volumes and Surfaces of Solids of Revolution


PART B : ORDINARY DIFFERENTIAL EQUATIONS
SECTION III
14.  Geometrical Meaning of a Differential Equation
15.  Exact Differential Equations
16.  Differential Equations of the First Order and Higher Degree
17.  Singular Solutions
18.  Orthogonal Trajectories
19.  Linear Differential Equations with Constant Coefficients
20.  Homogeneous Linear Ordinary Differential Equations
21*. Total Differential Equations

SECTION IV
22.  Linear Differential Equations of the Second Order
23.  Ordinary Simultaneous Differential Equations
      Examination Papers
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