There is no difference whatsoever between the meanings of #1 and #2. #1 is commonly spoken, whereas #2 is not. That is the only difference. #1 can have more specific meanings, but those are dictated by context. Here are some examples to show the range of possible meanings of #1 (which is the same as for #2):
Example 1:
"The French teacher made her students memorize a poem. If they failed to do as required, she would lower their course grade". (interpretation: the teacher FORCED them to memorize).
Example 2:
"A mother sits with her two children, Mary and Sally, at the dinner table. There is a glass vase on the table. The children are playing a game. At one point, Mary hits Sally. Sally quickly pulls away but in the process accidentally breaks the glass vase. The mother says to Sally, "You broke the glass vase". Sally replies, "No. It was Mary. Mary MADE me do it." (interpretation: Mary initiated a chain of events whose consequence was that Sally broke the glass vase).
Example 3:
"Jack went to church. There he saw a man who looked like his father. Seeing the man MADE him think about his father." (interpretation: the man reminded Jack of his father and this had the EFFECT to start him thinking about his father.)