MATH 155   Accelerated Calculus I     - Current Semester Course Homepage

Instructors
 
Section 01  [IRREGULAR]
FERRUH ÖZBUDAK
Office: M-122
Phone: 210 29 91
Office hours: 
Email: ozbudak@metu.edu.tr 
Instructor home page: http://www.math.metu.edu.tr/~ozbudak/ozbudak.html

Assistants
 

ÇAGRI DINER
Sections: 155 (11)
Office:  M-203
Phone: 210  53 51
Email: cagri@math.metu.edu.tr
Home page: 
MESUT TAÞTAN
Sections: 155 (12)
Office:  M-110
Phone: 210 53 52
Email: tastan@math.metu.edu.tr
Home page: 

 

Schedule, Lecture Places
Section 01
Wednesday: 15:40 and 16:40  P-1
Friday:  15:40 and 16:40  P-1

Recitation Hours 
(11) Thursday: 8:40 and 10:40 M-08
(12) Thursday: 8:40 and 10:40 M-105
(13) Thursday: 8:40 and 10:40 M-106

FIRST MIDTERM EXAM RESULTS

Section 12 Quiz I

Quiz in Class  

MATH 155 Final Exam
 
TOPICS (4 TH ED.) :
1.1-1.2-1.3-1.4-1.5
2.1- 2.2 - 2.3 - 2.4 - 2.5 -  2.6 - 2.8 - 2.9 - 2.10(except diff.eqns and initial value problems)
3.1 - 3.2 - 3.3 - 3.4(only thm 4-5-6)- 3.5 - 3.6
4.2 - 4.3 - 4.4 - 4.5 - 4.8 - 4.9
5.1 - 5.2 - 5.3 - 5.4 - 5.5 - 5.6 - 5.7
6.1 - 6.2 - 6.3 - 6.5
7.1 - 7.2 - 7.3
8.5 - 8.6
9.1 - 9.2 - 9.3 - 9.4 - 9.5


 

MATH 155 ACCELERATED CALCULUS I

2003-2004 SPRING

 

  • First Midterm: 2 April 2004 at 17:40
  • Textbook : Calculus a complete course by R. A. Adams 5th edition

 

Week

Dates

Sections and Comments

1

Feb. 23-27

P Preliminaries

1.1     Examples of Velocity, Growth Rate and Area

1.2     Limits of Functions

1.5a The Formal Definition of Limit( up to Definition 11 )

2

March 1-5

1.3     Limit at Infinity and Infinite Limits

1.5b The Formal Definition of Limit( from Definition on )

1.4     Continuity

2.1      Tangent Lines and Their Slopes

2.2a The Derivative (omit Differentials )

2.7        Using Derivatives (only Average and Instantaneous Rates of Change)

3

March 8-12

2.3     Differentiation Rules

2.4     Derivatives of Trigonometric Functions

2.5     The Chain Rule

2.8        Higher Order Derivatives

2.9        Implicit Differentiation

4

March 15-19

2.6     The Mean Value Theorem

2.10     Antiderivatives and Initial Value Problems

3.1           Inverse Functions

3.3     The Natural Logarithm and Exponential

3.2 Exponential and Logarithmic Functions

5

March 22-26

3.4a Growth and Decay ( only Exponential Growth and Decay Models)

3.5     The Inverse Trigonometric Functions

3.6     Hyperbolic Functions

4.1           Related Rates

4.2           Extreme Values

6

March29-April2

4.3           Concavity and Inflections

4.4           Sketching the Graph of a Functions

4.5           Extreme-Value Problems

4.6           Finding Roots of Equations

7

April 5-9

4.7           Extreme-Value Problems

4.8           Finding Roots of Equations

4.9           Linear Approximations

2.2b The Derivative (only Differentials )

4.10        Indeterminate Forms

3.4b Growth and Decay ( only Growth of Exponential and Logarithms and Theorem 6)

First Midterm Exam 2.4.2004,

8

April 12-16

 

5.1           Sums and Sigma Notation

5.2           Areas as Limits of Sums

5.3           The Definite Integral

5.4           Properties of Definite Integral

5.5           The Fundamental Theorem of Calculus

9

April 19-23

(No classes on Friday, April 23)

5.6           The Method of Substitution

5.7           Areas as Plane Regions

6.1            Integration by Parts

6.2            Inverse Substitution

10

April 26-30

6.3            Integrals of Rational Functions

6.6            The Trapezoid and Midpoint Rules (omit The Midpoint Rule and Proof of Theorem 4)

6.7            Simpson’s Rule

6.4            Improper Integrals ( include Limit Comparision Test and Absolute and Conditional Convergence )

11

May 3-7

7.1             Volumes of Solids of Revolution

7.2             Other Volumes by Slicing

7.3             Arc Length and Surface Area

8.5            Polar Cordinates and Polar Curves

8.6            Slopes, Areas and Arc Lengths for Polar Curves ( omit Tangent Direction for Polar Curve )

Second Midterm Exam, a day between 7 and 16 May

12

May 10-14

 

9.1           Sequences and Convergence

9.2           Infinite Series

9.3           Convergence Tests for Positive Series

9.4           Absolute and Conditional Convergence

13

May 17-21

(No classes on Wednesday, May 19)

9.5           Power Series ( omit Proof of Theorem 19 )

9.6           Taylor and Maclaurin Series

4.8     Taylor Polynomials ( omit Big-O Notation and Proof of Theorem 11 )

9.8 Taylor’s Formula Revisited ( omit Proof of Theorem 23 )

14

May 24-28

4.9     Applications of Taylor and Maclaurin Series

9.9 The Binomial Theorem and Binomial Series

 

  • Make-up Exam : Only those students who miss an exam (midterm or final) can take the make-up. No doctor’s report is required, but it is a more difficult exam. Only one exam can be made up; so if two exams are missed, one gets a grade of zero.
  • Quizzes : 6 quizzes will be given and 5 with the highest grades are counted.
  • Attendance : Students must attend in one fixed recitation section in which they are registered.
  • Grading : Each midterm comprises 25% of the course grade, final 35% and quizzes 15%, totalling 100%. The letter grades are determined from a curve of total grades after the final. So instructers have no idea what the numerical grade gets which letter grade until then.
  • Exact dates of the midterms will be announced later.



Course Catalog Information

Last updated: Thursday, March 18, 2004 12:35:11
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