## Weekly Homework Assignments

Week of Sept 21 - 25, 1998

Week of Sept 28 - Oct 2, 1998
 Monday (due Wednesday): (Assignment 2) Study: Chapter 17, sections 2 and 4 Do: p. 1231: 1 - 5 p. 1249: 3, 10, plus the two problems below: A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank (a) after t minutes? (b) after 20 minutes? A tank contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 liters/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at the rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at 15 liters/min. How much salt is left in the tank (a)after t minutes? (b)after 1 hour? Wednesday (due Friday): (Assignment 3) Study: Chapter 8, section 1 Do: pp. 583 - 584: 1, 7, 13, 20, 21, 24, 28, 51a Friday (due Monday): (Assignment 4) Study: Chapter 8, section 2 Do pp 591 - 592: 1, 3, 5, 9, 10, 11, 14, 17

Week of Oct 5 - Oct 9, 1998
 Monday (due Wednesday): (Assignment 5) Study: Chapter 8, section 3 (don't worry about hyperbolic functions) Do page 601: 1, 3, 5, 10, 13, 17, 31, 34 Wednesday (due Friday): (Assignment 6) Study: Chapter 17, section 3 (no exact equations) Do page 1239: 7 - 12 and the problem below. Into a 2000 liter container is placed 1000 liters of a brine solution containing 40 kg of salt. A brine solution containing .02 kg/l of salt flows into the container at a rate of 50 l/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 25 l/min. How much salt is in the container at the moment it overflows? Friday (due Monday): (Assignment 7) Study: Chapter 17, section 5 and skim section 7 Do page 1258: 1, 3, 9, 11, 13, 17, 19

Week of Oct 12 - Oct 16, 1998
First Hour Exam Next Tuesday: Details here soon
 Monday (due Wednesday): (Assignment 8) Study: Chapter 17, section 5 and class notes on complex numbers Do pp 1258 - 1259: 5, 7, 15, 21, 23, plus the problems below: Write (2 + 3i) / (1 - 5i) in the form a + bi Compute the complex conjugate and modulus of 3 + 4i Write -1 + sqrt(3)*i in polar form Simplify (1 + i)20 (Use polar form) Find all solutions in the complex numbers to the equation z5 = 32 Wednesday (due Friday): (Assignment 9) Study: Chapter 6, sections 1 and 4 Do: pp 397 - 398: 12, 13 (On 13, note the right-hand point of intersection is wrong), page 584: 30, page 601: 29, Find the area bounded by the curves y = x3 - 3x and y=x. page 429: 1, 7, 8 Friday (due Monday): (Assignment 10) Study: Chapter 6, section 2 Do pp 409 - 410: 8, 9, 11, 15, 33

Week of Oct 19 - Oct 23, 1998
First Hour Exam Tuesday: Details below.

Week of Oct 26 - Oct 30, 1998
 Monday (due Wednesday): (Assignment 14) Study: Chapter 5, section 5 Do page 378: [No Simpson's] 7, 9, 11, 16, and continue with #16 by computing a value of n so that the approximation of the integral in 16 using Midpoint rule (with n subintervals) has an error < 5 x 10^(-8). Tuesday (due Friday): (Assignment 15) Study: Chapter 10, section 2 Do page 752: 1a, 3a, 5, 7, 9, 17, 19, 30, 35, 41, 46 Wednesday (due Monday): (Assignment 16) Study: Chapter 10, section 3 Do pp 767 - 769: 11, 13, 21, 29, 33, 34, 35, 37, 42

Week of Nov 2 - Nov 6, 1998
Assignments Made on: Notes: Second Hour Exam, Wednesday, November 11, 4 - 6pm in Cook Auditorium, not Spaulding. The exam will cover assignments 10(Volumes) through 18(ratio test). If possible, try to arrive by 3:45pm. Seating will be tight, so sit with exactly one free space between you and your neighbors. Question and Answer session: Tuesday, November 10, 7-9pm in Filene Auditorium (first floor Bradley Hall) Final Exam scheduled for Sunday, December 6, 4 - 6 pm. Room TBA
 Monday (due Wednesday): (Assignment 17) Study: Chapter 10, section 4 Do pp 776 - 777: 3, 11, 19, 21, 29, 31, 34, 47 Wednesday (due Friday): (Assignment 18) Study: Chapter 10, section 5 Do pp 780 - 781: 1, 3, 5, 7, 8, 18, 21, 24 Friday (due Monday): (Assignment 19) Study: Chapter 10, section 6 Do pp 787 - 789: 6, 11, 13, 21, 23, 25, 29, 31

Week of Nov 9 - Nov 13, 1998
Assignments Made on: Notes: Second Hour Exam, Wednesday, November 11, 4 - 6pm in Cook Auditorium, not Spaulding. The exam will cover assignments 10(Volumes) through 18(ratio test). If possible, try to arrive by 3:45pm. Seating will be tight, so sit with exactly one free space between you and your neighbors. Question and Answer session: Tuesday, November 10, 7-9pm in Filene Auditorium (first floor Bradley Hall) Final Exam scheduled for Sunday, December 6, 4 - 6 pm. Room TBA
 Monday (due Wednesday): (Assignment 20) Study: Chapter 10, section 7 Do pp 793 - 794: 5, 7, 9, 11, 17, 25, 27, 31 Wednesday (due Friday): (Assignment 21) Study: Chapter 10, section 8 Do pp 800 - 801: 3, 5, 14, 19, 25, 27, 31 Friday (due Monday): (Assignment 22) Study: Chapter 10, section 1 Do page 734: 1, 3, 7, 9, 11, and Determine what degree Taylor polynomial is required to guarantee an error of less than 10^(-14) for sin(x) on the interval [-pi, pi].

Week of Nov 16 - Nov 20, 1998
 Monday (due Wednesday): (Assignment 23) Study: Chapter 10, section 9 Do page 812: 1, 7, 10, 13, 21, 30, 37 Wednesday (due Friday): (Assignment 24) Study: Chapter 11, sections 1 and 3 (first part of 3) Do page 836: 9, 13, 21, 33 page 851: 2b, 3e, 9a,d Friday (due Monday): (Assignment 25) Study: Chapter 11, sections 2 and 3 Do pp 844 - 845: 9, 16, 31 pp 851 - 852: 11, 12, 25, 34

Week of Nov 23 - Nov 27, 1998