Math 102 Calculus
Summer 2004
Ali Sinan Sertöz,
Department of Mathematics, Faculty of Science
Room: SA-121, Phone: 1490
Office Hours: Tuesday 10:00-12:00 or by appointment.
Text Book: Thomas' Calculus, updated tenth edition (2003), Addison-Wesley
Schedule: Monday, Wednesday, Friday: 08:40-11:30 at
SAZ-04
Syllabus:
| Week 1 | June 4 | 7.7 Improper integrals | |
| Week2 | June 7-11 | 8.1-8.5 Infinite series | |
| Week 3 | June 14-18 | 8.6-8.8 Power series | Midterm on Friday |
| Week 4 | June 21-25 | 11.1- 11.5 Multivariable functions | |
| Week 5 | June 28-July 2 | 11.6-11.8 Extreme values | |
| Week 6 | July 5-9 | 12.1, 9.5, 12.3 Multiple integrals | Midterm on Monday |
| Week 7 | July 12-16 | 12.4, 12.7 Triple integrals 10.6, 13.1 Line integrals |
Quiz on Wednesday |
| Week 8 | July 19-21 | 13.2, 13.4 Green's theorem | Quiz on Wednesday |
| July 23 | Final on Friday |
Grading:
Midterm-1 (20%) 18 June 2004 Friday 8:40-10:40
Exam will cover sections 7.7, 8.1-8.8
Solutions
Midterm-2 (20%) 5 July 2004 Monday 9:00-11:00
Exam will cover sections 11.1-11.8
Solutions
Quiz-1 (10%) 14 July 2004 Wednesday 10:40-11:30
Quiz will cover sections 12.1, 9.5, 12.3, 12.4, 12.7
Solutions
Quiz-2 (10%) 21 July 2004 Wednesday 10:40-11:30
Quiz will cover sections 10.6, 13.1, 13.2, 13.4
Solutions
Final (40%) 23 July 2004 Friday 9:30-11:30
Final exam will contain five questions from among the following topics:
Solutions
Improper integrals
Test an infinite series for convergence
Find the Taylor series of a function
Find limits using power series
Use chain rule to find the derivative
Find the equation of the tangent plane to a surface
Find extreme values using the second derivative test
Find extreme values using Lagrange multipliers
Evaluate a double integral using Fubini's theorem
Evaluate a multiple integral using substitution
Evaluate flow and flux integrals
Use Green's theorem to evaluate flux, divergence,
circulation or curl integrals
Suggested Exercises:
You are not expected to actually solve all of these. You should solve a few
from each different type as grouped in the text book. Solutions of these will
not be posted. If you experience difficulties we can discuss them separately in
or outside classroom.
---integration---
Page 598, Exercises 1-64.
Page 602, Exercises 129-144.
---infinite series---
Page 617, Exercises 13-56.
Page 637, Exercises 1-40.
Page 649, Exercises 1-66.
Page 658, Exercises 1-50.
Page 668, Exercises 1-38.
Page 681, Exercises 1-34.
Page 690, Exercises 1-42.
Page 708, Exercises 1-84.
---multivariable functions---
Page 880, Exercises 1-12.
Page 887, Exercises 1-42, 55-62.
Page 899, Exercises1-50, 57-58 .
Page 908, Exercises 1-38.
Page 923, Exercises 1-48.
Page 934, Exercises 1-8, 23-30.
Page 944, Exercises 1-30. 41-44.
Page 956, Exercises 1-40.
Page 968, Exercises 1-58, 65-88.
Page 972, Exercises 1-2, 11-14.
---multiple integrals---
Page 768, Exercises 1-70.
Page 781, Exercises 31-44.
Page 984, Exercises 1-54.
Page 1005, Exercises 1-22.
Page 1014, Exercises 1-36.
Page 1044, Exercises 1-24.
Page 1047, Exercises 1-16, 27-42.
Page 1049, Exercises 1-14.
---line integrals---
Page 846, Exercises 1-18.
Page 1058, Exercises 1-22.
Page 1068, Exercises 1-44.
Page 1090, Exercises 1-24.
Last Updated: 19 Şubat 2005 Cumartesi