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Knowledge - Coggle Diagram
Knowledge
Philosophy
Learning
The philosophy behind building stuff and organizations
The purpose behind life
My purpose in life
Engineering
Computer Engineering
Mathematics
Trigonometry
Trigonometric Functions
Trigonometric Relations
Double angle formulas
Compound angle formulas
Inverse Trigonometric Functions
Restricted domain
Range and domain
Hyperbolic functions
Inverse Hyperbolic functions
Algebra
Functions
Exponential Functions
Logarithmic Functions
Even Functions
Odd Functions
Finding domains and range of functions
Definition of functions
Inverse functions
Restricted domains
Range and domain
Partial Fractions
Relations
Calculus
Differential Calculus
Partial Differentiation
The laplacian
Function continuity check
Chain rule
Higher order partial derivatives
Implicit partial differentiation
Extrema
Absolute extrema of functions
Local extrema of functions
Total partial derivatives
Taylor expansions for partial derivatives
Maclurin expansion for partial derivatives
Explicit Differentiation
Table of differentiation
Product rule
Chain rule
quotient rule
Derivatives of inverse functions
Derivative of composite exponential functions ( functions power functions)
Taylor and maclurin expansions
Binomial expansions
multiplication of infinite expansions
Table of inverse functions derivatives
Implicit Differentiation
Integral Calculus
Multiple Integral
Double Integral
Definition
Iterated integral
Volume under surface and above rectangular area
Volume under surface and above irregular area
Generalization of integral definition into partitions of variable size
Reversing of order technique
Polar coordinates
Applications of double integral
Area
Volume
Mass of Lamina
Center of mass
Moment of inertia about x-axis
Moment of inertia about y-axis
single variable integral
Differential equations
First order differential equations
Separable
Exact
Homogeneous
Linear
Bernoulli's
Second order differential equations
What is a differential equation
Definitions
Type
Order
LInearity
Form of presentation
General form
normal form
Solutions
Explicit
implicit
Interval of definition
Families of solutions
Piecewise defined solution
Singular solution
Systems of differential equations
General solutions
Initial value problem
First order
higher order
initial conditions
solutions
Existence
Uniqueness
Interval of existence and uniqueness
Theorem of solution existence and uniqueness
second order
mathematical models
Dynamic systems
static systems
state variables
state of system and response time
Solution curve
Higher order differential equations
Linear Algebra
Theory of Equations
Solving Quadratic equations
Solving trigonometric equations
Solving inequalities
Absolute values
Polynomials
Discrete Mathematics
The foundations: Logic and proof
Propositional logic
Applications of propositional logic
Propositional equivilances
Identity Laws
Domination
Indempotent
double negation
commutative
Assoicative
Distributive
De Morgan's Laws
Absorption
Negation
logical equivalences involving conditional and biconditional statements
Predicates and quantifiers
Nested quantifiers
Rules of inference
modus tollens
modus ponens
conjunction
simplification
addition
existential instantiation
existential generalization
Universal instantiation
Universal generalization
resolution
disjunctive syllogism
hypothetical syllogism
introduction to proofs
Proof methods and strategy
Direct proof
proof by contraposition
proof by contradiction
proof by cases
proof by equivelance
backward and forward reasoning
existence proof
mathematical induction
Electronics
Electric Circuits
DC circuits
Ohm's law and Kirchhoff's laws
Ohm's law
Kirchhoff's current law
Kirchhoff's voltage law
simple resistive circuits analysis
Resistors in series
Resistors in parallel
Wye-Delta transformation
Voltage divider rule
current divider rule
Analysis techniques
Nodal analysis
Mesh analysis
Circuit theorems
super position
source transformation
Thevenin
single phase AC circuits
Three phase AC circuits
Probability and statistics
The Engineering method and statistical thinking
Collecting engineering data
Mechanistic and empirical models
Probability and probability models
Sample spaces and events in random experiments
Demorgan's laws
Probability Axioms
Probability law and axioms
Basic counting techniques
multiplication rule
Addition rule
permutations
combinations
partitioning
Conditional Probability
Total probability law
Baye's rule
independent events
Continuous random variables
Discrete random variables
Domain and range of discrete random variable
mean of discrete random variable
variance of discrete random variable
standard deviation of discrete random variable
important properties and proofs
Computer Science
Programming
C programming language
Functions
Call by value
Call by reference
Recursion
Pointers
linking a pointer
assigning a value to the pointer
moving pointers
pointers and arrays
Strings
String functions
strcat
strcmp
strcopy
strtok
strncat
string get function
string scanning
Dynamic memory allocation
malloc
calloc
realloc
dynamic memory
structures
Files
Data types
Loops
For loop
while do loop
Do while loop
Conditionals
If conditional
switch conditional
Javascript
Modules
Imports and exports
Names
Default
Aggregating modules
Creating a module object
Configuring file system to match modules
Dynamic module loading
Renaming module imports and exports
Modules and classes
Humanities
Technical writing
Introduction to technical writing
Ethical considerations
Technical definition
Description of a Mechanism
Description of a Process
Proposals
Progress reports
Feasibility and recommendation reports
Laboratory and project reports
Instructions and manuals
Electrical Engineering
Mechanical Engineering
Physics
Economics
Politics