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Although mathematicians
prefer to work in radians, most scientists and engineers find it
easier to think in degrees. Write sine, cosine and tangent methods
that accept their arguments in degrees.
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Write the corresponding
set of inverse trigonometric methods that return their values in
degrees instead of radians.
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The math library is
missing secant, cosecant and cotangent methods. Write them.
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The math library lacks a
log10 method for taking the common logarithm. Write one.
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Computer scientists often
use a log2 (log base 2). java.lang.Math doesn't have one of those
either. Write it.
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Put all the methods in the
previous five exercises into a package and class of your own creation.
Be sure to choose sensible, easy-to-understand, hard-to-confuse, names
for all packages, classes, and methods. Declare methods and fields
static, final, and/or abstract when appropriate.
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A simple model for the
growth of bacteria with an unlimited supply of nutrients says that
after t hours an initial population of p0 will have grown to p0 * e to
the 1.4t. Write a Java application that calculates the growth of a
colony of bacteria. As usual get the value of p0 and t from the
command line.
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Modify the bacteria growth
program so that the time can be input in minutes. Note that the
formula still requires a time in hours.
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Complete the ComplexNumber
class discussed in last week's class.
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Define a reasonably named
package for financial classes. Place last week's Money
class in this package.
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Add an overloaded
constructor to the Money class that only takes the number
of dollars.
-
Add an overloaded
constructor to the Money class that takes no arguments
and initializes the object to $0.00.
-
Add an equals()
method to the Money class.
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Define an exception class
called MoneyOverflowException which can be thrown when an
operation with Money results in an over flow. Place this
class in the same finance package.
-
Rewrite the methods in the
Money class so that they recognize overflow and throw a MoneyOverFlowException
if it occurs.
-
Use the classes in the java.math
package to eliminate the possibility of overflow in the Money
class.
-
Rewrite the two logistic
equation problems from Week 2 using the java.math.BigDecimal
class to provide 20 decimal digits of precision. Some hints:
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Invocation of the setScale()
method with every iteration is necessary to keep the value of
population from overflawing the memory of the computer.
-
You may need to use compareTo()
and the Comparable interface instead of either ==
or equals().