Maths220 Limits and series
12
Proofs in calculus
We now move onto sequences and series. These are important in their own right, but they
also help lay the foundation for limits, continuity of functions, derivatives, integrals etc. And
most importantly the
Mathematics 220
Homework Set 7
Due: October 31
If you are using the 2nd edition, be careful question numbers may not agree.
8.6, 8.12, 8.28, 8.32, 8.38, 8.40, 8.42, 8.46, 8.50
EQ1 Let A be the set cfw_1, 2, 3. Answer the following:
(a) Consider the rela
Mathematics 220
Homework Set 9
Due: November 21
If you are using the 2nd edition, be careful question numbers may not agree.
10.20, 10.24
10.26, 10.28,
10.42 (draw a picture and think carefully about cases)
10.46 (induction is your friend)
EQ1 Let S,
Mathematics 220
Homework Set 6
Due: October 24th
If you are using the 2nd edition, be careful question numbers may not agree.
6.2, 6.8, 6.12, 6.20(a)
EQ1. Show that for every integer n 2
1
n+1
1
.
1 2 1 2 =
2
n
2n
EQ2. Show 5|(9n 4n ) for n N.
EQ3.
Mathematics 220
Homework for Week 2
Due September 19, 2014, Friday
Problems from Chapters 1 and 2 of the 3rd edition of the text.
1.22, 1.24, 1.38, 1.42, 1.54, 1.66, 1.74, 1.84
2.2, 2.6
If you are using the 2nd edition, be careful question numbers may n
Mathematics 220, Section 102, Term I, 2014-15
Instructor: Jingyi Chen
Office: Math Annex 1212, Phone: (604)822-6695, Email: [email protected]
Prerequisites
a score of 64% or higher in one of MATH 101, MATH 103, MATH 105, SCIE 001,
or
one of MATH 121, M
Mathematics 220
Homework for Week 5
Due: October 17, Friday
5.4, 5.12, 5.16, 5.20, 5.28
5.24, 5.32, 5.36, 5.40
Let x, y be nonnegative
real numbers. Use a direct proof and a proof by contradiction
to show: If x < y, then x < y.
Mathematics 220
Homework Set 8
Due November 7
If you are using the 2nd edition, be careful question numbers may not agree.
9.4, 9.6 (b)(d)
9.8. Then repeat Problem 9.8 but with B = cfw_6, 30.
9.12 (a) (c) (f), 9.16
9.22, 9.24, 9.26
9.56, 9.64, 9.70,
Mathematics 220
Homework for Week 3
Due: September 26, Friday
Problems from Chapters 2 of the 3rd edition of the text.
2.18, 2.20, 2.32, 2.48, 2.54, 2.60, 2.64, 2.68, 2.72
If you are using the 2nd edition, be careful question numbers may not agree.
Dete
Math 317, Section 202, Homework no. 8
(due Friday March 19, 2010) [8 problems, 40 points + 5 bonus points] Problem 1 (4 points). Suppose F(x, y, z ) = g (r)r with r = x, y, z , r = |r| and a continuously dierentiable function g (r), r > 0. Find all such f
Math 317, Section 202, Homework no. 6
(due Wednesday (!) March 3, 2010) [10 problems, 48 points + 8 bonus points] Problem 1 (6 points). An object of mass m = 2 moves along the trajectory (1) (2) t4 t4 i t4 j + k, 2 4 1 1 r(t) = cos t i cos t j + sin t k,
Math 317, Section 202, Homework no. 5
(due Friday February 12, 2010) [7 problems, 26 points + 4 bonus points] Problem 1 (12 points). Compute the gradient of the following potentials. We use the abbreviation r = x, y, z and r = |r|. (a) (4 points) f (x, y,
Math 317, Section 202, Homework no. 4
(due Friday February 5, 2010) [7 problems, 28 points] Problem 1 (8 points). Stewart, Chapter 17.1, Exercises 11-18 (1 point each). No explanation required; only the answer counts. Problem 2 (4 points). Compute the eld
Math 317, Section 202, Homework no. 3
(due Friday January 29, 2010) [5 problems, 32 points] Problem 1 (2 points). Suppose C is a smooth curve with a smooth parameterization r(t), a t b. Show that the parameter t is arc length if and only if |r (t)| = 1 fo