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Double subscript notation
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Kirchhoff Laws
Introduction to Waves
Definitions in AC Theory
Phasor Representation
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Power and Power factor
Power systems
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3-Phased System
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Fluid Mechanics
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Properties of Fluids
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Buoyancy
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Trace
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Cayley-Hamilton Theorem
Matrix Norms
Complex Numbers
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Complex Functions
Limit of Complex Functions
Continuity
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Entire Functions
Real Analysis
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Set theory
Set of Numbers
Continued Fraction Expansion
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Solving First Order ODE
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Variation of parameters
Riemann Integration
Introduction
Riemann Integral
Partition
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Refinements
Upper & Lower integral
Riemann Integrable
Cauchy Criterion
Theorems on Integrability
Properties of Integrals
Sequential Characterization of Integrability
IVT for Integrals
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Convergence Functions
Fundamental Theorem of Calculus
Improper Riemann Integrals
Gamma function
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Mechanics
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Introduction
Derived Formulas for Common Shapes
Parallel Axis Theorem
Perpendicular Axis Theorem
Transformation Law
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Beams
Principle of Superposition
Structural Elements
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Analysis of Trusses
Beam Analogy (Approximate) method
Indeterminate Trusses
Dynamics
Introduction
2D kinematics of a rigid body
Mechanisms
Four-bar Mechanism
Epicyclic Gears
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Velocity & Acceleration Diagram
Inversions of a mechanism
Programming Fundamentals
A book
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Properties of Materials
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Structure of Atoms
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Summary of the 4
Miller Indices
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Introduction
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Energy Band Theory
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Standard Electrode Potential
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