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Dimensions & Units
Electrical Fundamentals
Introduction
Double subscript notation
Common Terms
Circuit elements
Voltage sources
Resistors
Capacitors
Inductors
Kirchhoff Laws
Introduction to Waves
Definitions in AC Theory
Phasor Representation
Impedance & Admittance
Power and Power factor
Power systems
3-Phased System
Fluid Mechanics
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Introduction to Fluid Mechanics
Properties of Fluids
Hydrostatic Pressure
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Pressure Measurements
Pressure Head
Hydrostatic Thrust
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Equilibrium of Submerged Bodies
Relative Equilibrium
Forced Vortex Motion
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Introduction to Fluid Dynamics
Conservation Laws
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Introduction to Vectors
Vector Equation of Straight Lines
Vector Equation of Planes
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Introduction to Matrices
Matrix Multiplication
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Elementary Transformations
Echelon Form
System of Linear Equations
Rank
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Solution of Non-homogenous Systems
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Trace
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Cayley-Hamilton Theorem
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Introduction to Real Analysis
Set theory
Set of Numbers
Continued Fraction Expansion
Field Axioms
Completeness Axiom
Order Axioms
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Introduction to Differential Equations
Solving First Order ODE
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Solving Second Order ODE
Wronskian
Variation of parameters
Riemann Integration
Introduction
Riemann Integral
Partition
Riemann Sum
Refinements
Upper & Lower integral
Riemann Integrable
Cauchy Criterion
Theorems on Integrability
Properties of Integrals
Mechanics
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Introduction to Statics
Derived Formulas for Common Shapes
Parallel Axis Theorem
Perpendicular Axis Theorem
Transformation Law
Principal Axes
Beams
Principle of Superposition
Structural Elements
Trusses
Analysis of Trusses
Beam Analogy (Approximate) method
Indeterminate Trusses
Dynamics
Introduction to Dynamics
2D kinematics of a rigid body
Mechanisms
Four-bar Linkage
Epicyclic Gears
Mobility of Mechanisms
Inversions of a mechanism
Programming Fundamentals
Interning
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One's & Two's Complement
Floating-point representation
Properties of Materials
Basics
Introduction to Properties of Materials
Metals
Ceramics
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Crystal Structure
Space Lattice
Summary of the 4
Miller Indices
Allotropy
Defects in Crystals
Functional Materials
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Voltage sources
Batteries - electrochemical
Solar cells - photo voltaic
Generators - electromagnetic
Ideal voltage source
Constant voltage for any required currents. Does not exist.