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Sahithyan's S1
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Dimensions & Units
Electrical Fundamentals
Basics
Introduction
Generation of Electricity
Common Terms
Circuit elements
Resistors
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Inductors
Kirchhoff Laws
Waves
AC Theory
Phasor Representation
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Power and Power factor
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Lab Apparatus
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Properties of Fluids
Hydrostatic Pressure
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Hydrostatic Thrust
Buoyancy
Stability of a Body
Relative Equilibrium
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Classification of Fluid Flow
Conservation Laws
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Section Formula
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Matrices
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Matrix Multiplication
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Elementary Transformations
Echelon Form
System of Linear Equations
Rank
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Solution of Non-homogenous Systems
Eigenvalues & Eigenvectors
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Trace
Diagonalization
Cayley-Hamilton Theorem
Matrix Norms
Complex Analysis
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Roots of Unity
Complex Functions
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Continuity
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Real Analysis
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Set theory
Set of Numbers
Continued Fraction Expansion
Field Axioms
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Sequence of Functions
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Series of Functions
Riemann Zeta Function
ODE
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Solving First Order ODE
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Solving Second Order ODE
Wronskian
Variation of parameters
Riemann Integration
Introduction
Partition
Riemann Sum
Refinements
Upper & Lower integral
Riemann Integrable
Cauchy Criterion
Theorems on Integrability
Properties of Integrals
Sequential Characterization of Integrability
IVT for Integrals
Generlized IVT
Converging Functions
Fundamental Theorem of Calculus
Improper Riemann Integrals
Gamma function
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Parallel Axis Theorem
Perpendicular Axis Theorem
Transformation Law
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Beams
Structural Elements
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Analysis of Trusses
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Types of Trusses
Dynamics
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2D kinematics of a rigid body
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Gears
Velocity & Acceleration Diagram
Inversions of a mechanism
Kinetic Analysis
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A book
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Structure of Atoms
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Summary of the 4
Miller Indices
Allotropy
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Selection of Materials
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Ductility
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Poisson's ratio
Tensile Test
Stress Strain Plot
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Work Hardening
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Electrical Properties
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Energy Band Theory
Semiconductivity
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Conductive Polymers
Nanotechnology
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Graphene
Carbon Nanotubes
Degradation
Introduction
Degradation of Metals
Forms of Corrosion
Prevention of Corrosion
Degradation of Polymers
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Sahithyan's S1 — Mathematics
Generlized IVT
Suppose
are continuous functions on
and
. Then
: