Extra Matlab Programming Session - Week 3

1. (Demonstration by the teacher on the LCD-projector)

   Review diagnostic test.

2. (Demonstration by the teacher on the LCD-projector)

   Write a function fact(n) which implements the factorial function:

   $$n! = \begin{cases}1& n = 0\\ 1 * 2 * ... * n& n > 0 \end{cases}$$

   
   

   Use an if-statement and a loop.

3. Explain to your comrades what the following function does (without trying it in Matlab).

   function v2 = albert(v1)
   % albert(v1)
   %
   % Mystery function, explain what it does!
   % v1 and v2 are vectors
   
     % Make v2 an empty vector
     v2 = [];
     j = 1;
     for i = 1:length(v1)
       if v1(i) > 13
         v2(j) = v1(i);
         j = j + 1;
       end
     end
   

4. Write a function sumseries1(N) which computes the sum of the N first terms in the sequence:

   $$1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, ..., \frac{1}{2^N}$$

   
   

5. Write a function sumseries2(tol) which computes the sum of the numbers in the sequence:

   $$1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, ..., \frac{1}{2^N}$$

   
   

   and stops when the next term is less than tol. Use a while-loop.

6. Write a function sumdivisible7(N) which computes the sum of all numbers from 0 to N which are divisible by 7. Hint: the rem(x, y)-function computes the remainder of $\frac{x}{y}$ in integer division.