Electrical Fundamentals
Basics
01 Introduction 02 Generation of Electricity 03 Common Terms 04 Circuit elements 05 Resistors 06 Capacitors 07 Inductors 08 Kirchhoff Laws 09 Waves 10 AC Theory 11 Phasor Representation 12 Impedance & Admittance 13 Power and Power factor 15 Power systems 16 Lab Apparatus 17 3-Phased System
Electrical Installation
01 Introduction 02 Fuses 03 Circuit Breaker 04 MCB 05 ELCB 06 RCD 07 RCCB 08 Earthing 09 Household Wiring 10 Installation Tests 11 Electric Shock
Fluid Mechanics
Statics
01 Introduction 02 Properties of Fluids 03 Hydrostatic Pressure 04 Pressure Measurements 05 Hydrostatic Thrust 06 Buoyancy 07 Stability of a Body 08 Relative Equilibrium 09 Forced Vortex Motion
Dynamics
Machinery
Mathematics
Complex Analysis
01 Introduction 02 Roots of Unity 03 Complex Functions 04 Limits 05 Continuity 06 Differentiability 07 Analytic Functions 08 Cauchy-Riemann Equations 09 Entire Functions
Matrices
01 Introduction 02 Matrix Multiplication 03 Transpose 04 More Types of Matrices 05 Determinant 06 Adjoint 07 Inverse 08 Elementary Transformations 09 Echelon Form 10 System of Linear Equations 11 Rank 12 Solutions of Homogenous Systems 13 Solution of Non-homogenous Systems 14 Eigenvalues & Eigenvectors 15 Orthogonal 16 Orthonormal 17 Trace 18 Diagonalization 19 Cayley-Hamilton Theorem 20 Matrix Norms
Ode
01 Introduction 02 Solving First Order ODE 03 Higher Order ODE 04 Solving Second Order ODE 05 Wronskian 06 Variation of parameters
Real Analysis
01 Introduction 02 Set theory 03 Set of Numbers 04 Continued Fraction Expansion 05 Field Axioms 06 Completeness Axiom 07 Order Axioms 08 Relations 09 Functions 10 Composition 11 Countability 12 Limits 13 Known Limits 14 Continuity 15 Continuity Theorems 16 Differentiability 17 Extremums 18 Other Theorems 19 Higher Order Derivatives 20 Taylor's Theorem 21 Sequence 22 Cauchy Sequence 23 Subsequence 24 Series 25 Convergence Tests 26 Known Series 27 Alternating Series 28 Strategy for Series 29 Power Series 30 Taylor Series 31 Sequence of Functions 32 Uniformly Cauchy 33 Series of Functions 34 Riemann Zeta Function
Riemann Integration
01 Introduction 02 Partition 03 Riemann Sum 04 Refinements 05 Upper & Lower integral 06 Riemann Integrable 07 Cauchy Criterion 08 Theorems on Integrability 09 Properties of Integrals 10 Sequential Characterization of Integrability 11 IVT for Integrals 12 Generlized IVT 13 Converging Functions 14 Fundamental Theorem of Calculus 15 Improper Riemann Integrals 16 Gamma function 17 Beta function
Vectors
Mechanics
Statics
01 Introduction 02 Parallel Axis Theorem 03 Perpendicular Axis Theorem 04 Transformation Law 05 Principal Axes 06 Beams 07 Structural Elements 08 Trusses 09 Analysis of Trusses 10 Beam Analogy 11 Types of Trusses
Dynamics
01 Introduction 02 2D kinematics of a rigid body 03 Mechanisms 04 Four-bar Mechanism 05 Gears 06 Velocity & Acceleration Diagram 07 Inversions of a mechanism 08 Kinetic Analysis
Programming Fundamentals
A Book
01 Introduction 02 Python Programming 03 Interning 04 Built-in Functions 05 String formatting 06 OOP 07 Practice Resources
B Book
01 Introduction 02 Number Systems 03 Data Representation 04 Integers 05 Floating-point Numbers 06 Strings 07 Data Types 08 Algorithms 09 Software Engineering
C Book
01 Introduction 02 Computer Hardware 03 CPU 04 CPU Instructions 05 CPU Support Chips 06 Von Neumann Architecture 07 Computer Memory 08 Secondary Storage 09 Magnetic Storage 10 Computer Software 11 Operating System 12 Embedded System 13 Arduino 14 Trends in Computing
Properties of Materials
Basics
01 Introduction 02 Structure of Atoms 03 Metals 04 Ceramics 05 Polymers 06 Composites 07 Crystal Structure 08 Space Lattice 09 Summary of the 4 10 Miller Indices 11 Allotropy 12 Defects in Crystals 13 Functional Materials 14 Selection of Materials
Mechanical Properties
01 Introduction 02 Ductility 03 Fracture 04 Elasticity 05 Poisson's ratio 06 Tensile Test 07 Stress Strain Plot 08 Flexural Test 09 Ductile-Brittle Transition 10 Work Hardening 11 Toughness 12 Charpy Impact Test 13 Hardness 14 Indentation Test
Electrical Properties
01 Introduction 02 Energy Band Theory 03 Semiconductivity 04 Dielectric behavior 05 Piezoelectricity 06 Conductive Polymers
Degradation
01 Introduction 02 Degradation of Metals 03 Forms of Corrosion 04 Prevention of Corrosion 05 Degradation of Polymers