Encyclopaedia-Electronica
ACS
ACS
Automatic Control
L00 - Introduction
L01 - Control Systems Fundamentals
L02 - Linear time-invariant (LTI) dynamical systems ; state space and transfer function representations
L03 - Solution of LTI Dynamical Systems (Laplace, Network&Transfer Fxns.)
L04 - Modal Analysis of LTI dynamical Systems - Internal Stability
L04-2 - Modal Analysis of LTI dynamical Systems - Internal Stability
L05 - BIBO Stability of LTI systems
L05.5 Recap L1-5
L06
Lab Practice 1
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CAND
01 - Systems
02 - Digital System
02 - System Taxonomies
03 - Analog System
04 - Analog to Digital Conversion
05 - The Nyquist-Shannon Sampling Theorem
06 - Stateful and Stateless Systems
07 - General Purpose Processor
08 - DSP - Digital Signal Processor
09 - GPU - Graphics Processing Unit
10 - GPGPU - General Purpose GPU
11 - Smart Card and SIM
12 - System on Board (SoB)
13 - System In Package (SiP)
14 - Micro-Electro-Mechanical Systems (MEMS)
15 - System-On-Chip (SoC) - Application Specific Integrated Circuits (ASIC)
16 - Intellectual Property (IP) Core
17 - Microprocessors and Microcontrollers
18 - Moore's Law
19 - MPSoC
20 - Technology Node
21 - Multi-Core MPSoC
21 - Pollack's Rule
22 - Many-Core MPSoC
23 - Field-Programmable Gate Array (FPGA)
24 - Dynamic Partial Reconfiguration (DPR)
25 - Floating Point Operation (FLOP)
26 - High Performance Computing (HPC)
27 - Embedded System
28 - Internet of Things (IoT)
29 - Data Center
30 - Edge Computing
31 - Fog Computing
32 - Cybersecurity
33 - National Cyberspace
34 - Data
35 - Information
36 - The CIA Triad
37 - Privacy and Secrecy
38 - Accessible - Public - Usable
39 - Giving up Personal Data
40 - GDPR - Article 7 - The Right to Privacy
41 - GDPR - Article 8 - Protection of Personal Data
42 - Data Breach
43 - Anonymization and GDPR
44 - Pseudoanonymization
45 - International Secrecy
46 - Attacks and Weaknesses
47 - Vulnerabilities
48 - The Threat Chain
49 - The Cyber Kill Chain
50 - State-Sponsored Attacks - Advanced Persistent Threats (APT)
51 - Cybercrime Attacks
52 - Hacktivism
53 - Attack Asymmetry
54 - Miranda Rights
55 - Common Weakness Enumeration (CWE)
56 - Common Vulnerabilities and Exposures - CVE
57 - Cyber Kill Chain - Reconnaisance
58 - Cyber Kill Chain - Weaponization
59 - Cyber Kill Chain - Delivery
60 - Cyber Kill Chain - Exploitation
61 - Cyber Kill Chain - Post Exploitation - Installation
62 - Cyber Kill Chain - Post Exploitation - Actions on Objectives
63 - Cyber Kill Chain - Command And Control (C2)
64 - Non-repudiation and Authenticity
65 - Data and System Integrity, Availability
66 - Corrupting, Inhibiting, Forgery
67 - Encryption - Assymetric Cryptography
68 - Resilience and Access Control
69 - Failures, Faults, Bugs, Errors
70 - Safety vs Security
71 - Redundancy
72 - Vulnerabilities and Incident Response
73 - Social Engineering & The Dual Process Theory
74 - Attack Vectors - Phishing
75 - Phishing Techniques
76 - Physical Attacks
77 - Other Attack Vectors
78 - Cognitive Attacks and Disinformation
79 - Cyberwarfare and Cyberintelligence
80 - Main Actors - USA - NATO - RUSSIA
81 - Introductory Hardware Testing
82 - Hardware Counterfeiting
83 - Counterfeiting Prevention
84 - Random Number Generation
85 - Hardware in Security
86 - Built-in Security Features
87 - RTOS
88 - RealTime Kernel Designs
89 - CPU sharing between tasks
90 - The NIS Directive & GDPR
91 - Risk Governance
92 - Risk Management
93 - System Security - Access Control
CAND - Cybersecurity and National Defense
CHEM
CHEM - Chemistry
CN
CN - Communication Networks
CSC
CSC - Computer Sciences
CTA
01 - Charge
02 - Current
03 - EMF
04 - Potential Difference
05 - Ohm's Law
06 - Conductance
07 - Resistors
08 - Power
09 - Series
10 - Parallel
11 - KVL
12 - Resistors in Series
13 - Equivalent Resistance
14 - Voltage Divider Rule
15 - Resistors in Parallel
16 - KCL
17 - Current Divider Rule
18 - Open and Short Circuit
19 - Voltage Source
20 - Current Source
21 - Combining Voltage Sources
22 - Combining Current Sources
23 - Source Transformation
24 - Mesh Analysis
25 - Supermesh
26 - Nodal Analysis
27 - Supernode
28 - Superposition
29 - Thevenin's Theorem
30 - Norton's Theorem
31 - Converting between Thevenin and Norton
32 - Maximum Power Transfer Theorem
33 - Substitution Theorem
34 - Reciprocity Theorem
35 - Capacitors
36 - Capacitors in Parallel
37 - Capacitors in Series
38 - Charging and Discharging Capacitors
39 - Energy Stored by Capacitors
40 - Electromagnetism
41 - Faraday's Laws
42 - Inductors
43 - Inductors in Series
44 - Inductors in Parallel
45 - Charging and Discharging an Inductor
46 - Energy Stored By An Inductor
47 - Introduction to AC
48 - Waveforms
49 - AC Equation
50 - RMS Value
51 - Phase
52 - Complex Numbers
53 - Operations with Complex Numbers
54 - Euler's Form
55 - AC through a resistor
56 - AC through an inductor
57 - AC through a capacitor
58 - Impedance
59 - Power and Power Factor
60 - Resistive AC circuit
61 - Inductive AC Circuit
62 - Capacitive AC Circuit
63 - A proper definition of the power factor
64 - Series RL circuit
65 - Series RC circuit
66 - Voltage Divider Rule in AC Analysis
67 - Current Divider Rule
68 - Source Conversion
69 - AC Nodal and Mesh Analysis
70 - Thevenin and Norton in AC
71 - Maximum AC power transfer theorem
72 - Laplace Transform
73 - Properties of the Laplace Transform
74 - Standard Laplace Transform Pairs
75 - Inverse Laplace Transform
76 - Modelling circuits in the s-domain
77 - Transient Analysis
78 - Three-Phase Systems
79 - Star Connection
80 - Delta Connection
81 - Line and Phase Current & Voltage
82 - Three Phase Power
CTA - Circuit Theory and Applications
FormularyCTA
FormularyCTA_REVISED
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ELN
ELN - Electronic Circuits, Measurements and Applied Electronics
FormularyMIS
HTML & CSS
CSS
HTML
Ink
Writing
2024.5.2 - 11.43am
WRITING
2024.5.2 - 11.45am
WRITING
2024.5.2 - 12.24pm
WRITING
MAN1
01 - Logic
02 - Set Theory
03 - General Mathematic Notation
04 - Functions
05 - Quadratic Equations
06 - Circle Equation
07 - Radian
08 - The Pythagorean Identity
09 - Sine
10 - Cosine
11 - Tangent
12 - Cotangent
13 - Secant
14 - Cosecant
15 - Inverse sine
16 - Inverse cosine
17 - Inverse tangent
18 - Hyperbolics
18.1 - Fundamental trigonometric identities
19 - Exponential
20 - Logarithm
21 - Logarithmic Laws
22 - Logarithmic Base Change
23 - Factorials
24 - Limits
25 - Continuity
26 - Injectivity
27 - Surjectivity
28 - Monotonicity
29 - Convergence
30 - Divergence
31 - Indeterminacy
32 - Infinite
33 - Infinitesimal
34 - Derivative
35 - Limit definition of the derivative
36 - Derivative of a constant
37 - Derivative of constant multiples
38 - Derivative of powers of x
39 - Derivatives of trigonometrics
40 - Fundamental Rules of Differentiation
41 - Derivative of constants raised to x
42 - Derivative of the natural logarithm
43 - Derivative of the Exponential
44 - Critical Points
45 - n-th order derivatives
46 - Differentiability
47 - Differentiability implies continuity
48 - Extrema
49 - Second Derivative Test
50 - Inflection Point
51 - De L'Hopital
52 - Implicit Differentiation
53 - Taylor and Maclaurin Expansions
54 - The Integral
55 - Indefinite Integral
56 - Definite Integral
57 - Fundamental Rules of Integration
58 - Integration By Parts
59 - Integration by U-Substitution
60 - Integration by PFE
61 - Integral MVT
62 - Continuity Implies Integrability
63 - Integration by Trigonometric Substitution
64 - Useful Properties of Integrals
65 - Improper Integrals
66 - Ordinary Differential Equations
67 - Initial Value(Cauchy) Problems
68 - Solution of ODEs revolves around Continuity
69 - Uniqueness of Solutions of Ordinary Differential Equations
70 - Separable Ordinary Differential Equations
71 - First Order Linear Ordinary Differential Equations
72 - Second Order Ordinary Differential Equations with Constant Coefficients
73 - Partial Derivatives & Extrema - Multivariable Calculus
FormularyMA1
MAN - Mathematical Analysis & Methods
MAN1-OLD
Calculus Interlude - Theorems and Taylor(Maclaurin) Expansions
Bolzano's Theorem of Existence of Zeroes
Calculus Interlude - A Final Review
Calculus Interlude - The Weierstrass or Extreme Value Theorem
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Errors in Approximation, The Peano Remainder
Introduction to Summation Notation and Series
Taylor and Maclaurin Polynomials in Function Analysis
Taylor Expansions
The Mean Value (Lagrange) Theorem
The Rolle Theorem
Complex Numbers
1 - Introduction to Complex Numbers - The Complex Plane and The Imaginary Unit i
2 - Complex Number Conjugates
3 - Division of Complex Numbers
4 - The absolute value of a complex number
5 - Interesting properties of the absolute value of complex numbers
6 - The argument(angle) of complex numbers
7 - Polar and Rectangular Forms of Complex Numbers
8 - The Exponential Form Of Complex Numbers
9 - Complex Numbers in The Fundamental Theorem of Algebra
10 - Quadratics and Complex Numbers
11 - Complex Numbers and Quadratics in Solving Second Order Linear Differential Equations
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Differential Calculus
A refresher in Precalculus Algebra
Derivative of non-base-e Exponentials
Derivatives in Function Analysis - De L'Hopital's Theorem
Derivatives in Function Analysis - Derivatives of Higher Order
Derivatives of the Exponential
Derivatives of Trigonometric Inverse Functions
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Differentiability
Discontinuities of The Second Kind - The Cusp
Discontinuities of The Second Kind - The Vertical Tangent
Grand Review - Advanced Differentiation, Function Analysis and De L'Hopital's Theorem.
Implicit Differentiation
Introduction to Common Rules of Differentiation
Practice Differentiation using The Chain Rule
Practice Implicit Differentiation and Derivatives of Trigonometric Inverse Functions - The Inverse Cosine
Practice Implicit Differentiation and Derivatives of Trigonometric Inverse Functions - The Inverse Tangent
Practice Implicit Differentiation and Derivatives of Trigonometric Inverses - The Inverse Cotangent
Review - Introduction to Differential Calculus
Review Elementary Rules of Differentiation
Studying Differentiability
The Chain Rule
The Continuity of The Derivative
The Derivative
The Derivative in Function Analysis
The Derivative in Function Analysis - Critical Points
The Derivative of the Constant
The derivative of the logarithm
The Derivative of The Natural Logarithm
The Derivative of the Sine and Cosine
The Derivative of The Trigonometric Tangent
The Limit Definition of The Derivative
The Power Rule
The Product Rule
The Quotient Rule
The Second Derivative - Inflection Points
The Slope of The Secant Line Over an Infinitesimally Small Distance
The Slope of The Secant Line, The Average Rate of Change
The Tangent Line
Welcome to Differential Calculus
Differential Equations
1- Introduction to Differential Equations
2- Prelude to Solutions to Differential Equations
3 - Initial Value (Cauchy) Problems and Particular Solutions
4 - Solving Basic Differential Equations with Integration
5 - Existence and Uniqueness of Solutions to Differential Equations
6 - Separable Differential Equations
7 - Linear Differential Equations and The Integrating Factor
8 - Recap on The Fundamentals of Differential Equations
9 - Substitutions for Differential Equations - Homogenous
10 - Example Substitution - Homogenous Differential Equations
11 - Introduction to Reducible Second Order ODEs
12 - Reducible Second Order ODEs - Missing Y
13 - Reducible Second Order ODEs - Missing X
Elementary Functions
Elementary Functions
Euler's Number, The Exponential, The natural logarithm
The Exponential
The Factorial
The Logarithm
The Power Function
Integral Calculus
1 - Introduction to Integral Calculus - Accumulation of Change
2- Integration Notation - The Indefinite Integral
3- Integration Bounds - The Definite Integral
4 - The Antiderivative, and the +c
5 - Connecting concepts together - Introduction to Elementary Rules of Integration
6 - The Integration Constant and Power Rule
7 - Linearity of Integrals and Integral Algebra
8 - The Integral of the reciprocal
9 - The integral of the exponential
10 - The integral of the Sine and Cosine
11 - Practice integration
12 - Algebra of Definite Integration
13 - Evaluation Limits
14 - Practice Definite Integration using Evaluation Limits
15 - Function Symmetry in Integrals - Even Functions
16 - Function Symmetry in Integrals - Odd Functions
17 - The continuity of the derivative as a basis for the integrability of a function
18 - Advanced Integration - Integration by u-substitution
19 - Practice identifying patterns for u-substitution and solving
20 - Advanced Integration - Integration By Parts
21 - Practice Integration By Parts
22 - Integration by Partial Fraction Decomposition
23 - Practice Integration by Partial Fraction Decomposition
24 (intro) - Trigonometric Substitution in integration
25 - Substitution with x = asin(theta)
26 - Substitution with x = atan(theta)
27 - Practice integration via trigonometric substitutions
28 - Improper Integrals
29 - Convergent, Divergent and Indeterminate Improper Integrals
30 - Grand Review - Integral Calculus
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Introduction to Function Behaviour
Convergence
Divergence
Function Symmetries
Indeterminacy
Introduction to Sequences
Monotonicity
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Strict Monotonicity
Introduction to Functions and Properties
Bounds and Boundedness
Composition of Functions
Extrema, Maxima and Minima
Function Theory - The Domain and Codomain(Image)
Injectivity
Introduction to Functions
Surjectivity
The Inverse of a Function
The Supremum and Infimum
Limits and Continuity
Calculating Limits
Continuity
Discontinuities (first kind)
Discontinuities of The Second Kind
Growth Rate
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Limits
Limits and Orders of Infinities
Limits towards infinities
One-sided limits
One-sided limits, and the general limit
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The Algebra of Limits
The Infinitesimal
The Limits of Composite Functions
The Uniqueness of The Limit
Local Comparison of Functions
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Landau Notation and Local Comparison of Functions - The little o.
Landau Notation and Orders of Infinite(simal)s
Principal Parts With Respect To Test Infinite(simal) Functions
Subcase of The Big O - Equivalence
The Big O
Understanding The Little o
Logic
Chapter Review - Logic
Mathematical Logic
The 'For All' Operator
The 'So That' Operator
The Equivalence Operator
The Existence Operator
The Implication Operator
The Negation
Set Theory and The Real Number Line
Chapter Review - Set Theory and The Real Number Line
Intervals
Set Theory
The Complement of a Set
The Definition of a Set
The Exclusion
The Infinite Real Number Line - R
The Intersection of Sets
The Rational Number Set Q
The Set of Integer Numbers Z
The Set of Irrational Numbers I
The Set of Natural Numbers N
The Subset
The Union of Sets
Trigonometric Inverses
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Monotonicity Intervals
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The Inverse Cotangent
The Inverse Sine and Cosine
The Inverse Tangent
The Trigonometric Inverses
Trigonometry
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Introduction to The Cosine Wave Function
Introduction to The Sine Wave Function
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Periodicity
Review - Trigonometry
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The Angle Addition and Subtraction Identities
The Circle Equation
The Double Angle Identities
The Fundamental and Even-Odd Trigonometric Identities
The Fundamentals of The Sine and Cosine
The Pythagorean Identity
The Radian
The Secant and Cosecant
The Tangent and Cotangent
The Unit Circle
Trigonometry
A final word
The Beginning
MAN2 - Multivariate Calculus
73 - Multivariate Calculus
74 - Vectors
75 - Basic Vector Operations
75 - The Dot Product
76 - The Cross Product
77 - Matrices
78 - Matrix Operations
79 - Determinants
80 - Partial Derivatives
81 - The Gradient
82 - The Directional Derivative
83 - Vector-Valued Functions
84 - The Multivariable Chain Rule
85 - Partial Derivatives of Vector-Valued Functions
86 - Divergence
87 - Curl
88 - The Jacobian
89 - The Laplacian
90 - Tangent Planes
91- Local Linearization
92 - The Hessian
93 - Stationary Points - Critical Points Revisited
94 - The Second Partial Derivative Test - Making Sense of What's What
95 - The Line Integral - Arc Length
96 - Path Parametrization and Independence
97 - Closed-Curve Integrals and the Fundamental Theorem of Line Integrals
98 - Flux in Two Dimensions
99 - The Unit Normal Vector
100 - Double and Triple Integrals
101 - Coordinate Transformations
102 - Polar Coordinates
103 - Cylindrical Coordinates
104 - Spherical Coordinates
105 - Surface Integrals
106 - Flux in Three Dimensions
107 - Intoduction to The Big Four
108 - Simply Connected
109 - Smooth
110 - Closed
111 - Green's Theorem
112 - The 2D Divergence Theorem
113 - Stokes' Theorem
114 - The 3D Divergence Theorem
115 - The Laplace Transform
116 - Properties of The Laplace Transform
117 - Convolution
118 - Laplace Transform Pairs
119 - Series
120 - Types of Series
121 - Convergence Tests
122 - Fourier Series
123 - Surfaces to Remember
124 - Center of Mass
125 - Practice Exercises
126 - The end of Multivariate Calculus
FormularyMA2
MMET
MMAN
01 - Mathematical Methods
02 - Complex Numbers and The Imaginary Number
03 - The Complex Plane
04 - The Rectangular Form
05 - The Argument(Angle) of a Complex Number
06 - The Modulus(Absolute Value) of a Complex Number
07 - The Polar Form
08 - The Exponential Form (Euler Form)
09 - Operations on Complex Numbers using Various Forms of Their Representation
10 - Powers of i
11 - Arguments are Not Unique
12 - The Complex Conjugate
13 - n-th Roots of Complex Numbers
14 - The Complex Exponential
15 - Complex Trigonometric Functions
16 - Topological Notions
17 - Curves in the Complex Plane
18 - Complex Continuity
19 - Complex Limit Algebra
20 - Complex Differentiability
21 - Rules of Complex Differentiation
22 - The Cauchy-Riemann Equations
23 - Holomorphic and Entire Functions
24 - Harmonic Functions
25 - Simple, Closed and Jordan Curves
26 - Regular Domain
27 - Integrals in the Complex Plane
28 - The Cauchy-Goursat Theorem
29 - Jordan's Curve Theorem
30 - Winding Number
31 - The Cauchy Integral Formula
32 - Liouville's Theorem
33 - The Fundamental Theorem Algebra
34 - Sequences of Complex Numbers
35 - Series of Complex Numbers
36 - Complex Power Series
37 - Complex Power Series are Holomorphic
38 - Taylor Expansion
39 - Common Complex Taylor Expansions
40 - The Laurent Expansion
41 - Isolated Singularity
42 - Principal Parts, Essential Singularities, Poles and Residues
43 - Poles and Residues
44 - The Residue Theorem
45 - The Argument Principle
46 - Intro to Distribution Theory
47 - Intro to Distribution Theory - Part 2
48 - Distribution Theory
49 - Regular Distributions
50 - The Dirac Delta Distribution
MMPROB
01 - Introduction to Probability
02 - Defining Probability
03 - Disjoint Events
04 - Sample Space
05 - The Null Event
06 - Event Union
07 - Event Intersection
08 - Complement
09 - Mutually Exclusive
10 - The Uniform Probability Model
11 - Combinatorics
12 - Permutation
MMET-Analysis-Form
MMETSummary
Summary - Analysis
Summary - Probability
PHY
PHY - Physics
SEM
SEM - Electronic Devices and Semiconductors
Hub
preamble
STY
02 - Set Theory
A set is literally just a collection of elements.
is the Real number line
is the set of all integers
is the set of all natural numbers
- Subset, set in a set
- Proper subset, set in a set
- Cardinality, the number of all elements in a set
- Union of sets
- Intersection of sets
03 - General Mathematic Notation
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