Open the IE and size the window to your liking. Then hold down the CTRL key while clicking the “X” to close the program. This will set the IE window to open at this setting every time.
Open any desktop shortcut, then open the same shortcut in a new window. Close the first window, resize the second window with the mouse to full screen, then hold your "Control" key down while exiting the resized window via "file" then "exit." Be certain to hold the control key down until the screen has exited. Next time you open any shortcut, it will open maximized.
Ramin
Try this easy method and check if it solve the case.
Open a webpage. Stretch it out to full size. Don't select maximize button.
Choose any link on that webpage and right click on it and select open in a new window.
Stretch that second window out to the desired size, Don't select maximize button.
Close the first IE window. Then close that second resized window.