For Beat the Bees Review

Question and Answer Reviewer 2.0

This presentation is an intellectual property of Robert Nericua. ©2015

The process of setting up a model, solving it mathematically, and interpreting the result in physical or other terms is called ______________.

mathematical modeling

An _________________ is an equation that contains one or several derivatives of an unknown function, which we usually call y(x) (or sometimes y(t)if the independent variable is time t).

ordinary differential equation (ODE)

Find the solution of the following ODE.2yx3 dx + [ (x2 +1) ln y2] dy =0

x2 – ln (x2 + 1) + ¼ (ln y2 )2 +C =0

Hint: It is a separable ODE.

A type of mathematics that converts problems of calculus to algebraic problems is known as ____________.

operational calculus

A unit step function is also known as _________.

Heaviside Function.

Find the solution of(cos x cos y – cot x) dx – sin x sin y dy =0

sin x cos y – ln |sin x |+ C =0

Hint : Exact ODE.

The Dirac delta function is named after who?

Paul Dirac

______________ are differential equations that depend on a single variable.

Ordinary differential equations (ODEs)

The graph of a particular solution of an ordinary differential equation in one dependent variable is called a ___________.

Solution Curve

Find the solution of the ODE4x4y’’’ + 4x3 y’’-5x2 y’ + 2xy =26 x +15x4

y=A x2 + B + C + x3 + 13

TRUE or FALSE?TRUE or FALSE?

A Laplace transform is an integral transform.

The Laplace transform is named after who?

PIERRE SIMON MARQUIS DE LAPLACE (1749–1827)

__________ is a function of the variables in the two spaces and defines the integral transform.

kernel or kernel function

Find the L {cosh at}.

𝒔𝒔𝟐−𝒂𝟐

The L {eat cos ωt}

𝒔−𝒂(𝒔−𝒂)𝟐+𝝎𝟐

What is the kernel for a Laplace transform?

e-st

Find the Laplace transform of

𝟐𝟎𝒔(𝒔𝟐+𝟒 𝒔+𝟒)

__________________,an Italian physicist,invented the electric battery—which provided the first continuous flow of electricity—and the capacitor.

Alessandro Antonio Volta (1745–1827)

An _________ is an interconnection of electrical elements.

Electric circuit

________________,a French mathematician and physicist, laid the foundation of electrodynamics. He defined the electric current and developed how to measure it.

Andre- Marie Ampere

Find the inverse Laplace transform of

𝟒𝒅 𝜹(𝒕)𝒅𝒕

−𝟓𝜹 (𝒕 )+𝟔𝒆−𝟑 𝒕−𝟒𝒆−𝟐 𝒕

_______________, a German physicist, in 1826 experimentally determined the most basic law relating voltage and current for a resistor.

Georg Simon Ohm (1787–1854)

A _______ represents a single element such as a voltage source or a resistor.

branch

The KCL is based on what Law?

Law of Conservation of Charge

The two laws KCL and KVL are one of the most indispensable tool in circuit analysis, is named after ?

Gustav Robert Kirchhoff (1824-1887)

If , what is the determinant of A.

0

_____________________ was perhaps the greatest American inventor. He patented 1093 inventions, including suchhistory-making inventions as the incandescent electric bulb, the phonograph, and the first commercial motion pictures.

Thomas Alva Edison (1847–1931)

The idea of field effect transistor is first conceived by ____________, who is a German immigrant to the USA.

J. E. Lilienfeld

An _________is an active circuit element designed to perform mathematical operations of addition, subtraction, multiplication, division, differentiation,and integration.

op amp

An ___________ is a passive element designed to store energy in its magnetic field.

inductor

_______________, an American physicist, discovered inductance and constructed an electric motor.

Joseph Henry (1797–1878)

__________________, a German-Austrianmathematician and engineer, introduced the phasor method in ac circuit analysis. He is also noted for his work on thetheory of hysteresis.

Charles Proteus Steinmetz (1865–1923)

____________ was a Croatian-American engineer whose inventions—among them the induction motor and the first polyphase ac power system—greatly influenced the settlement of the ac versus dc debatein favor of ac. He was also responsible for the adoption of 60 Hz as the standard for ac power systems in the United States.

Nikola Tesla (1856–1943)

___________________, a graduate in mathematics from Cambridge University, in 1865 wrote a most remarkable paper in which he mathematically unified the laws of Faraday and Ampere.

James Clerk Maxwell (1831–1879)

When two inductors (or coils) are in a close proximity to each other, the magnetic flux caused by current in one coil links with the other coil, thereby inducing voltage in the latter. This phenomenon is known as __________________.

mutual inductance

A ____________is an instrument that displays the amplitude of the components of a signal versus frequency.

spectrum analyzer

LASER stands for

“light amplification by stimulated emission ofRadiation”