I think you should show the xml code of your manifest in order to understand what's happening, but just as a theory... maybe your class MainActivity doesn't extend from Activity class.
You're using eclipse, if you open the xml and put the mouse pointer over the error line, eclipse will tell you the problem.
Edit (Sorry to make this but I can't comment in your post since I don't have enough reputation)
Reading your manifest, everything seems pretty normal. You should confirm that your MainActivity is in the right package.
Since you defined your package (package="com.ift2905project.tunemyday") you can just make this:
<activity
android:name=".MainActivity"
android:label="@string/app_name" >
</activity>
But you have to make sure that the file MainActivity.java is in the folder:
src/com/ift2905project/tunemyday
And the last thing that you have to check is that your MainActivity.java has this structure:
package com.ift2905project.tunemyday;
public class MainActivity extends Activity { ... your code here ...}