Basic Calculus
Integral Calculus
Differential Calculus
Neuroscience
Miscellaneous
100
The two major branches that calculus is based on.
What are derivatives (differentiation) and integrals (integration)?
100
The purpose of integral calculus.
What helps in finding the anti-derivatives of a function or better known as integration?
100
Describe differential calculus.
What is the method that deals with the rate of change of one quantity with respect to another?
100
Definition of Neuroscience.
What is the scientific study of the nervous system and its functions?
100
the Latin meaning on Calculus
What is 'Small Pebble'
200
Explain 'All Students Take Calculus'.
Quadrant I: All positive
Quadrant II: sin +, cos and tan -
Quadrant III: sin and cos -, tan +
Quadrant IV: sin and tan -, cos +
200
Along with Isaac Newton, he is credited to have contributed to the discovery of Integral Calculus.
Who is Gottfried Leibniz?
200
Formula for the rate of change of x with respect to y.
What is dx/dy?
200
Calculus can measure this in Neuroscience.
What is the voltage of a neuron firing?
200
The year Calculus was discovered
What is 1665?
300
What a limit measures.
What determines the value of a function approaching as it gets closer and closer to a certain point?
300
An integral represents...
What is the representation of the area of a region under a curve?
300
Solve y=4x5+2x3+4x2 with respect to x.
*Find d4y/dx4
What is 480x?
300
The part of the neuron that is being studied.
What is the axon?
300
The name of Mr. Chu's cat.
Who is Oscar?
400
Solve for the derivative of (x + 1) sin x
What is sin x + (x + 1) cos x?
400
Find the integral of cos 3x.
Using ∫ d/dx(f(x))
3x = t
x = t/3
dx = dt/3
The given integral becomes ∫1/3(cos t) dt
= 1/3(sin t) + C
What is 1/3 sin (3x) + C?
400
The slope of chord formula.
*Hint not y2-y1/x2-x1
What is f(x+∆x)-F(x)/∆x?
400
Explain the Patch and Current Clamp Test.
400
In this lobe of the brain, problem-solving usually occurs.
What is Frontal Lobe?
500
In y = f(x), identify which is the independent variable and which is the dependent variable.
What is 'y' is the dependent variable and '(x)' is the independent variable?
500
The meaning of 'C' in integration.
What is the constant of integration?
500
Contributors to Differential Calculus.
Who are Augustin Louis Cauchy (1789–1857), Bernhard Riemann (1826–1866), and Karl Weierstrass (1815–1897)?
500
How the amplitude of the neuron voltage be graphed.
What is a function?
500
The application of Calculus we see in Medicine. (One field is required for sufficient answer)
What is either or, Bacterial growth, Patient Diagnosis, Epidemiology, Cancer, Surgical Control of Red Blood Cells, Cardiology, Pharmacology, Entomology, Neurology?