ECE 190 Spring 2011
Programming Practice for Exam 1
Programing part of Exam 1 will consist of one problem for which you will be asked to write a
program in C. You can use your favorite text editor, such as vi or nano. You should name your
source code file exam1.c. You can compile your code using gcc compiler as follows:
gcc -g -Wall -Werror -ansi exam1.c -o test
You can then run your program by simply typing
./test
Make sure your program compiles and works before your turn it in. We will not grade a program
that does not compile and you will lose points if the program compiles with warnings. You obviously
will not receive any points if your program does not do what it is supposed to do. Both functionality
and coding style will be graded, with most points given for functionality and some points given for
style. No style grading will be done if the program does not compile.
The programming part of the exam is designed to be one hour long. Not including comments and
empty lines, the exam program can be written in less than 20 lines of code. If your program grows
in size to over 30 lines, you are probably doing something wrong.
Instructions how to turn in your program will be provided at the exam.
Practice Problem 1
In this problem, we will estimate cos(x) function using Taylor series expansion:
∑
where n is the degree of the Taylor series expansion and x is an angle in radians. The program
should print a prompt "Enter x in radians: " and take x in radians as an input. Then the program
should print a prompt "Enter the number of terms: " and take n as input. It then should
approximate the value of cos(x) using the first n terms of the Taylor series expansion and print out
the value of cos(x). Assume the value of x is always given in the range of –π to +π.
You may find cos(x) function plot useful for debugging purposes:
