Arrays are very easily used with looping constructs. This is due to the fact that each location in the array has a
number associated with it and that these numbers increase by 1 from one element to the next. In this section, we will
introduce a few of the
12-7 Solutions
1a.
1b.
Find the radius of convergence and interval of convergence of the power series
1c. Find the radius of convergence of the power series
2a.
2b.
2c.
2d.
3a.
3b.
3c.
4.
5.
6.
7.
PLUS 11-16: Solutions
1.
a. Find the LU factorization of A.
b. Solve Ax=b using the LU factorization
In order to row reduce A, rows 1 and 2 need to be swapped. To do this, you must
multiply A (and b) by the Permutation Matrix.
2. Find the determinants of
PLUS Calc II 12-7
1. (a) Does the following series converge?
(b) Find the radius of convergence and interval of convergence of the power series
(c) Find the radius of convergence of the power series
2. (a) Expand in powers of x.
(b) Find
(c) Estimate ln(.
if / else statements
You will often want the course of the program to change depending on the current value of one or more variables.
Suppose you are writing an accounting program for a bank. You want to charge a customer if he or she has gone
below his o
A pointer is a variable that represents a location in memory; since every variable that you declare has a space in
memory, pointers can "point" to the location of any variable. You can find a variable's memory location with
the &operator, which returns a
It will often be convenient to use the same function name twice. Suppose, for instance, that you have a function that
returns the volume of a box, given the three sides:
int volume(int x, int y, int z)cfw_
return x * y * z;
and that you also want to have
You can add two numbers with a plus sign:
int num = 3 + 4;
Now the variablenum has the value 7. As always, command lines end with a semi-colon. You can also add variables
and carry out multiple sums at once:
double a = 4.10009, b = 9.02, c = 15.0;
double
Linked Lists and the new Operator
A common way to use pointers with structs is to create a linked list. Start by defining a struct to hold a single list
element:
struct link
cfw_
int val;
link* next_link; / pointer to another link struct
;
Now you want to
An important feature of object-oriented programming languages is inheritance: the ability to create derived classes.
Consider the following class definition:
class Polygon
cfw_
private:
int num_sides;
public:
int get_num_sides() cfw_return num_sides;
Poly
Functions are segments of code that allow you to better organize your code. You can think of a function as a small
program, and of a program as a collection of functions. I could have written a function for the "Hello World" program:
#include <iostream.h>
Programming is essentially the manipulation of many variables. The basic variable data types which C+ variables
can assume are: int (integers), char(characters) and doubles (real decimals). Declaring a variable simply means
letting the computer know that
Classes are fundamental components of a C+ program. Like structs, introduced earlier, they group related
information together. They are essentially new user-defined data types, but they can also contain member functions
that operate on their data members.
Programming assignment due October 26
October 17, 2016
1
Variant 1
Implement HeapSort algorithm. Your function must take an ArrayList as input and output a
sorted ArrayList.
2
Variant 2
Implement InOrderWalk algorithm. Your function must take an ArrayList