102-ENGINEERING MATHEMATICS – I |
Units: I- Differential Calculus |
Asymptotes and Curvature (Cartesian Coordinates Only)
Concavity, Convexity and Point of Inflexion (Cartesian Coordinates Only)
Curve Tracing (Cartesian and Standard Polar Curves – Cardioids, Lemniscates of
Bernoulli, Limacon, Equiangular Spiral)
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Units: II - Differential Calculus |
Partial Differentiation, Euler’s Theorem on Homogeneous Functions
Approximate Calculations
Maxima & Minima of Two and More Independent Variables
Lagrange’s Method of Multipliers |
Units: III - Integral Calculus |
Applications in Finding the Length of Simple Curves
Surface and Volumes of Solids of Revolution
Double Integral, Areas & Volumes by Double Integration
Change of Order of Integration
Beta Function and Gamma Function (Simple Properties)
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Units: IV - Differential Equations |
Differential Equations of First Order and First Degree – Variable Separable,
Homogeneous Forms, Reducible to Homogeneous Form, Linear Form, Exact Form,
Reducible to Exact Form
Linear Differential Equations of Higher Order with Constant Coefficients Only
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Units: V - Differential Equations |
Second Order Ordinary Differential Equations with Variables Coefficients
Homogeneous and Exact Forms
Change of Dependent Variable
Change of Independent Variable, Normal Forms
Method of Variation of Parameter
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