B.Tech (ECE) in 30 Days
"Irrelevant First. Coz the Important one would find a way out to be done, somehow or anyhow"
"to get an HD picture, have enough dots before you connect them"
[Instrumentation]
Mesurement
Instrumentation
Electrical Materials
Network Theory
[Electronics]
Physics of Electronics
Electronic Devices
Analog Electronics
Control System
[Radio]
Electromagnetic Theory
Signals & Systems
[Telecommunication]
Microwave Engineering
Communication System
[Computer]
Digital Electronics
Computer Architecture
Computer Organisation
Intel 8085 Microprocessor (1976)
Assembly Language (1974)
x86 Architecture (1978)
[Information Technology]
Data & Communication Network
Tim Berners-Lee's HTML (1989)
Håkon Wium Lie's CSS (1994)
Netscape's JavaScript (1995)
IBM's SQL (1972)
Bjarne Stroustrup's C++ (1983)
Guido van Rossum's Python (1991)
Sun Microsystems' Java (1995)
Rasmus Lerdorf's PHP (1995)
Yukihiro Matsumoto's Ruby (1995)
Larry Wall's Perl (1987)
Cleve Moler's MatLab (1978)
Google's Dart (2011)
Facebook's Hack (2014)
Apple Inc's Swift (2014)
Ericsson's Erlang (1987)
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Euler (Leonhard Euler, Swiss, 1730s)
Cauchy (Augustin-Louis Cauchy, Paris, 1815s)
Taylor (Brook Taylor, London, 1710s)
McLaurin (Colin Maclaurin, Scotland, 1720s)
Laurent (Pierre Alphonse Laurent, Paris, 1840s)
Stoke (Sir George Gabriel Stokes, 1st Baronet; Ireland, 1845s)
Gauss (Johann Carl Friedrich Gauss, Germany, 1795s)
Green (George Green, Nottinghamshire, 1830s)
Poisson (Siméon Denis Poisson, France, 1800s)
Baye (Thomas Bayes, London, 1730s)
Boole (George Boole, Lincoln, 1835s)
Turing (Alan Mathison Turing, London, 1930s)
Al-khwarizmi (Muḥammad ibn Mūsā al-Khwārizmī; Khiva, Uzbekistan; 800s)
Arithmatic (central Africans, Egyptians, Babylonians, Romans; 20,000 BC)
Algebra (al-jabr i.e. reunion of broken parts; Persians (al-Khwarizmi)
Mensuration
Geometry (Egyptian Rhind Papyrus (2000–1800 BC) and Moscow Papyrus (c. 1890 BC), the Babylonian clay tablets such as Plimpton 322 (1900 BC))
Trigonometry (Sumerian astronomers, Babylonians, Nubians, Hellenistic, Aryabhata; 2xx BC)
Statistics
Probability
Euclid of Alexandria (father of geometry, Alexandria, 280 BC; Elements). Euclid means renowned, glorious.
Trigonometry- 3rd century BC
Statistics- 5th century BC
Complex Nos.- Gerolamo Cardano to conceive of complex numbers in around 1545.
Cartesian/Coordinate Geometry: (René Descartes or Renatus Cartesius; France, 16xx)
Probability- 16th century (Gerolamo Cardano; Pierre de Fermat; Blaise Pascal)
Set Theory- 19th century
Percent is a Roman concept. Perpaisa or Pratishat is an Indian concept.
1914-1918
1939-1945
2017-2025
Concept of Signals: Mathematically, they are a function of one or more independent variables.
theoritically, they are some form of pattern of variation.
speech: acoustic pressure (time) - signal with single independent variable
picture: brightness (x,y) - signal with double independent variable
an object: volume (x,y,z) - signal with triple independent variable
usually, the independent variable is time, but it could be depth, altitude, density, porosity, electrical resistivity, air pressure, temperature, distance, wind speed etc. in various fields like geophysics, meteorology, weather forecasting, ATC.
Concept of Transformations: In an aircraft control system, signals corresponding to the actions of the pilot are transformed by electrically controlled processors, further mechanical systems changes those controlled signals into aircraft's thrust, position of it's rudder, or ailerons, which in turn are transformed through the dynamics and kinematics of the vehicle into changes in speed and direction of the aircraft.
Memorylessness: future is independent of the past | output of an independent variable is dependent only on the input supplied at that moment. for e.g.
a discrete-time system with memory - Accumulator (Adder)
a continuous-time system with memory - Capacitor
a discrete-time system without memory - NOT gate
a continuous-time system without memory -
a system has memory -> it stores energy (e.g capacitor)
trigonometric sums - sums of harmonically related sines and cosines or periodic complex exponentials
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