Math 112 Intermediate Calculus
Summer 2004
Ali Sinan Sertöz,
Department of Mathematics, Faculty of Science
Room: SA121, Phone: 1490
Office Hours: Tuesday 10:0012:00 or by appointment.
Text Book: Thomas' Calculus, updated tenth edition (2003), AddisonWesley
Schedule: Monday, Wednesday, Friday: 14:4017:30 at
SAZ04
Syllabus:
Week 1  June 4  6.16.3 Log, exp functions and derivatives of inverse trig fcns 

Week2  June 711  7.17.6 Integration  
Week 3  June 1418  7.7 Improper Integrals Review problems 
Midterm on Friday 
Week 4  June 2125  8.18.4 Infinite series  
Week 5  June 28July 2  8.58.8 Power series  
Week 6  July 59  11.111.4 Functions of several variables  Midterm on Monday 
Week 7  July 1216  11.511.7 Extreme values  
Week 8  July 1921  11.8 Lagrange Multipliers  Quiz on Wednesday 
July 23  Final on Friday 
Grading:
Midterm1 (25%) 18 June 2004 Friday 14:4016:40
Exam will cover sections 6.16.3, 7.17.7
Solutions
Midterm2 (25%) 5 July 2004 Monday 14:4016:40
Exam will cover sections 8.18.8
Solutions
Quiz (15%) 21 July 2004 Wednesday 16:4017:30
Quiz will cover sections 11.111.8
Solutions
Final (35%) 23 July 2004 Friday 13:3015:30
Final exam will contain five questions from among the following topics:
Solutions
Evaluate an integral using byparts
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 152.
Page 474, Exercises 140, 4558.
Page 483, Exercises 136.
integration
Page 544, Exercises 182.
Page 553, Exercises 130.
Page 563, Exercises 140.
Page 569, Exercises 126.
Page 569, Exercises 3341.
Page 584, Exercises 142.
Page 598, Exercises 164.
Page 601, Exercises 1144.
infinite series
Page 617, Exercises 1356.
Page 637, Exercises 140.
Page 649, Exercises 166.
Page 658, Exercises 150.
Page 668, Exercises 138.
Page 681, Exercises 134.
Page 690, Exercises 142.
Page 708, Exercises 184.
multivariable functions
Page 880, Exercises 112.
Page 887, Exercises 142, 5562.
Page 899, Exercises150, 5758 .
Page 908, Exercises 138.
Page 923, Exercises 148.
Page 934, Exercises 18, 2330.
Page 944, Exercises 130. 4144.
Page 956, Exercises 140.
Page 968, Exercises 158, 6588.
Page 972, Exercises 12, 1114.
Last Updated: 19 Şubat 2005 Cumartesi