Math 250 Homework Assignments

HW A Write a short (at most one
page) introduction of yourself, including your
background in both mathematics and computer science,
why you are taking this course, and what you hope to
learn in this course. Submit this via Moodle. (You
will need to join the MATH250 class on Moodle.)

HW 1 (1.1  1.3)
 1.1: 2, 9, 11
 1.2: 1, 3, 5, 7, 11, 15, 16, 17, 18 (Explain your answers
 don't just write down numbers!)
 1.3: 3c, 4, 5
Find the coefficient of
a^{3}b^{4} in (3a + 2b)^{7}.
Use the binomial theorem to prove that
C(n,0)  C(n,1) + C(n,2)  ... +
(1)^{n}C(n,n) = 0.
Use the binomial theorem to prove that
C(n,0) + 2C(n,1) + 2^{2}C(n,2) + ... +
2^{n}C(n,n) = 3^{n}.

HW 2 (1.4  1.5)
 1.4: 2, 3, 4
 1.5: 4, 5, 6, 10, 12, 15

HW 3
 3.1: 5, 6, 7, 8, 9, 13, 15. For #13, fill in
some truth values for s and t in the truth table to
help explain your answer.
 3.2: 5, 6, 9, 12, 13, 14. For #13, first write
in words what the statements say, and then determine
which are true and which are false. Give
explanations.
 3.3: 5, 6 (with explanations), 7, 8, 13, 14.
Math 250 Practice Questions