Math 112 Intermediate 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: 14:40-17:30 at
SAZ-04
Syllabus:
| Week 1 | June 4 | 6.1-6.3 Log, exp functions and derivatives of inverse trig fcns |
|
| Week2 | June 7-11 | 7.1-7.6 Integration | |
| Week 3 | June 14-18 | 7.7 Improper Integrals Review problems |
Midterm on Friday |
| Week 4 | June 21-25 | 8.1-8.4 Infinite series | |
| Week 5 | June 28-July 2 | 8.5-8.8 Power series | |
| Week 6 | July 5-9 | 11.1-11.4 Functions of several variables | Midterm on Monday |
| Week 7 | July 12-16 | 11.5-11.7 Extreme values | |
| Week 8 | July 19-21 | 11.8 Lagrange Multipliers | Quiz on Wednesday |
| July 23 | Final on Friday |
Grading:
Midterm-1 (25%) 18 June 2004 Friday 14:40-16:40
Exam will cover sections 6.1-6.3, 7.1-7.7
Solutions
Midterm-2 (25%) 5 July 2004 Monday 14:40-16:40
Exam will cover sections 8.1-8.8
Solutions
Quiz (15%) 21 July 2004 Wednesday 16:40-17:30
Quiz will cover sections 11.1-11.8
Solutions
Final (35%) 23 July 2004 Friday 13:30-15:30
Final exam will contain five questions from among the following topics:
Solutions
Evaluate an integral using by-parts
Evaluate an integral using partial fractions
Evaluate an integral using direct or inverse substitutions
Evaluate a limit using L'Hopital's rule
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
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.
---ln, exp and inverse trig fcns---
Page 464, Exercises 1-52.
Page 474, Exercises 1-40, 45-58.
Page 483, Exercises 1-36.
---integration---
Page 544, Exercises 1-82.
Page 553, Exercises 1-30.
Page 563, Exercises 1-40.
Page 569, Exercises 1-26.
Page 569, Exercises 33-41.
Page 584, Exercises 1-42.
Page 598, Exercises 1-64.
Page 601, Exercises 1-144.
---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.
Last Updated: 19 Şubat 2005 Cumartesi