# a1 - Department of Mathematics and Statistics McGill...

This preview shows pages 1–2. Sign up to view the full content.

Department of Mathematics and Statistics McGill University MATH 242 Assignment 1 Due in class, Monday September 21 Full credit can be obtained from correct answers to questions totalling 70 points. 1. (10 points) Let f : X Y , A X and B Y , then prove or disprove by counterexample the statement f ( A f - 1 ( B )) = f ( A ) B . 2. (10 points) Let f : X Y , A X and B Y , then prove or disprove by counterexample the statement f ( A f - 1 ( B )) = f ( A ) B . 3. (10 points) Let f : X Y , g : Y Z and T X . Then prove or disprove by counterexample the statement ( g f )( T ) = g ( f ( T )) . 4. (10 points) Let f : X Y and g : Y Z be surjections. Then prove or disprove by counterexample the statement that g f is a surjection. 5. (10 points) Show that n X k =2 k ( k + 3) = 1 3 ( n - 1)( n + 3)( n + 4) for n N . 6. (10 points) Show that n X k =1 1 k ( k + 2) = n (3 n + 5) 4( n + 1)( n + 2) . 7. (10 points)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

a1 - Department of Mathematics and Statistics McGill...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online