Ma 122A

Calculus II

Fall 2007

Time and Place:

 

MTThF 11:00-12:00, N129

Instructor:

Dr. Leyla Batakci, Esbenshade 373, Office Phone: 361-1335

e-mail: batakcil@etown.edu

Office Hours:

T and Th 12:30-3:00, W 12:30-1:30, and by appointment.

Text Book:

Calculus (fifth edition) by James Stewart

Prerequisites:

Ma 121

Course Objectives:
  • To deepen students' understanding of the differential and integral calculus;
  • To learn the properties of exponential, logarithmic, and inverse trig functions;
  • To learn techniques for evaluating integrals of complicated functions;
  • To learn how to apply calculus techniques to real-world problems including solving simple differential equations;
  • To learn how to use calculus techniques to analyze curves described by parametric equations or polar coordinates;
  • To learn the basic concepts of convergence of infinite sequences and series;
  • To learn how to use technological tools such as Derive and the TI92 calculator as a tool in solving calculus problems.

 

Attendance:

You are expected to attend all classes. Excessive amounts of absenteeism may

result in a lower grade. If you do miss a class, it is your responsibility to obtain from a

classmate any notes, assignments, handouts, or anything else you may have missed.

 

Calculator:

A TI-89, TI-92, TI-92 plus, or TI Voyage 200 graphing calculator is required and should

brought to class each day and to exams. All class demonstrations will be done with the TI

Voyage 200.

 

Web Materials:

You may access on-line materials for this course (including this syllabus) through the

Blackboard web site at http://blackboard.etown.edu . You may access homework

assignments at http://www.webassign.net/.

 

Exams:

There will be three examinations prior to the final exam. These are scheduled for Friday

September 28, November 2, and November 30. The comprehensive final exam is

scheduled for Monday December 10 at 2:30 p.m. Each exam will consist of two parts:  Part I

will assess problem-solving skills. You will need a TI92, TI92 plus, TI89, or TI Voyage 200

calculator for Part I. Part II will test basic algebraic and calculus techniques. No calculator of

any kind will be allowed on Part II.

 

Lab Assignments:

There will be several computer assignments that will require the use of computer program

Derive 5.0 for Windows. You may work in pairs on these assignments (this means no more

than two per group). A collaborating pair may submit one completed assignment for the pair. 

Each assignment must be completed and handed in by 5:00 p.m. through the Blackboard on

the due date.  Lowest lab grade will be dropped.  No late assignments will be accepted.

 

Homework:

There will be weekly homework assignments posted on WebAssign. Assignments will be

posted in four parts (one after each class-MTTF) and you will have 48 hours to complete

each part. No late assignments will be accepted.  Lowest two homework grade will be

dropped. You should come to class prepared to discuss problems, ask questions, and share

solutions. Questions will be addressed at the beginning of each class. If all your questions

are not addressed during this time, do not hesitate to seek additional help. The following help

options are available.

  • Office hours- these are listed at the beginning of this syllabus.
  • Learning Services with private tutor.

 

Make-Up Exams:

Exams may not be made up except for absolutely unavoidable reasons. If you miss an exam for an acceptable unavoidable reason, then a make-up exam will be given. It is the responsibility of the student to make arrangements for allowable make-ups with instructor prior to the evening of the originally scheduled r exam. Make up exams are more challenging than regularly scheduled exams.

 

Academic Integrity:

 

All work must be one’s own and must comply with the standard of integrity defined in the

Elizabethtown College Student Handbook.  More specifically, absolutely no collaboration is allowed on quizzes and exams, computer assignments may be completed collaboratively with students other than your lab partner, but the final write-up of the assignments must be your own. Under no circumstances may you copy answers from another student’s paper or cut and paste from another student’s computer file.

 

Grading:

94-100 A; 90-93 A-; 87-89 B+; 83-86 B; 80-82 B-; 77-79 C+; 73-76 C; 70-72 C-; 

67-69 D+; 63-66 D; 60-62 D-; below 60 F

 

Course Grades will be calculated according to the following weighting:

Homework: 25%        Labs: 15%        Hourly exams: 30%        Final Exam: 30%

Disability:

We at Elizabethtown College wish to make accommodations for people with disabilities.  If you have a documented disability and need reasonable accommodations to fully participate in course activities or meet course requirements, you must

 

1)      contact the Director of Disability Services, Shirley Deichert, in the Center of Student Success, BSC 288, (717) 361-1227, deichesa@etown.edu,

AND

2)      meet with me within two weeks of receiving a copy of the accommodation letter from Disability Services to discuss your accommodation needs and their implementation.

 

 

 

 

 

 

 

Fall 2007                        Tentative Schedule for Math 122                  Dr. Batakci

 

 

Monday

 

Tuesday

 

Wednesday

 

Thursday

 

Friday

 

8/27                           

7.1

 

8/28  

7.1

 

8/29

 

8/30   

7.2

 

8/31 

7.2

 

9/3                                          Labor Day

 

9/4 

7.3

 

9/5

 

9/6 

7.4

 

9/7

7.5

 

9/10

7.7

 

9/11  

7.7

 

 

9/12

 

9/13

8.1

 

9/14

8.1

 

9/17

8.2

 

 

9/18  

8.2

 

9/19

 

9/20 

8.3

 

9/21

8.3

 

9/24  

8.4

 

9/25  

8.4

 

9/26

 

9/27 

Review

 

9/28

Exam I

                             

 

10/1   

8.5

 

10/2   

8.6

 

 

10/3

 

10/4                 

8.7

 

10/5  

                8.8

 

10/8

8.8

 

10/9 

Ch 8 Review

 

10/12

 

 

 

10/11  

Fall Break

 

10/12

Fall Break

 

 

10/15

9.1

 

10/16 

10.1

 

10/17

 

10/18 

10.3

 

10/19 

10.4

 

 

10/22  

11.1

               

 

10/23          

11.1

 

10/24

 

10/25 

11.2

 

10/26

11.3

 

 

10/29                            

11.3

 

10/30  

11.4

 

10/31

 

11/1

Review

 

11/2

Exam II

 

 

11/5    

11.5

 

11/6       

12.1

 

11/7

 

11/8 

12.1

 

11/9

12.2

 

 

11/12

12.2

 

11/13  

            12.3

 

11/14

 

11/15    

12.4

 

11/16

12.5

 

11/19   

12.6

 

11/20 

12.7

                 

 

11/21

 

 

11/22

Thanksgiving Break

 

11/23

Thanksgiving Break

 

11/26 

12.8

 

11/27 

12.9

 

11/28

 

 

11/29  

Review

 

11/30  

Exam III

 

 

12/3

12.10

 

12/4 

12.11

 

 

12/5

 

12/6                            

12.12

 

12/7 

Review

 

 

12/10 

FINAL EXAM

2:30 – 5:30

           

 

 

12/11

 

 

12/12

 

11/28

 

 

12/14                    

 

 

 

Math 122 Suggested Practice problems (Fall 2007)

Chapter 7: Inverse functions: Exponential, Logarithmic, and Inverse

                   Trigonometric Functions

7.1 Inverse Functions

3,5,7,9,11,13,15,17,19,21,22,23,25,27,29,31,33,35,37,39,41,43

7.2 Exponential Functions and Their Derivatives

1,7,9,11,13abc,14,15,19,21,23,25,29,33,35,37,41,43,45,47,49,51,57,61,63,65,67,71,73,75,

77,79,81,83

7.3 Logarithmic Functions

1,3,5,7,9,13,15,17,19,25,29,31,33,35,37,41,43,45,51,53,55,57,58,59,63,65,67,70

7.4 Derivatives of Logarithmic Functions 3,5,7,9,13,15,17,19,23,25,27,29,31,33,35,39,41,43,45,51,53,58,61,65,67,69,71,73,75,77,

79,83

7.5 Inverse Trigonometric Functions

1,3,5,7,9,13,17,19,23,25,27,31,33,37,43,45,51,59,61,63,65,67

7.7 Indeterminate Forms and L'Hospital's Rule

5,7,9,11,15,17,19,21,23,25,27,29,33,37,39,41,45,47,49,51,53,55,57,59,61,63,71,73,75,77

Chapter 8: Techniques of Integration

8.1 Integration by Parts

1,3,5,7,9,11,15,17,19,21,23,25,29,37,41,45,47,51,53,63

8.2 Trigonometric Integrals

1,5,7,9,15,17,19,21,23,25,27,31,33,37,51,53,59,61

8.3 Trigonometric Substitution

1,3,4,5,7,11,13,17,19,21,25,27

8.4 Integration of Rational Functions

1,3,5,7,9,11,13,15,17,21,23,29,31,35,37,51,63

8.5 Strategy for Integration

1,3,5,9,11,13,15,17,19,23,33,35,37,61,63,73

8.6 Integration Using Tables and  Computer

1,3,5,7,9,13,19,23,25,27,29,35

8.7 Approximate Integration

1,3,5,7,15,19,31

8.8 Improper Integrals

1,3,5,9,11,13,15,21,23,25,27,33,37,41,43,45

Chapter 9: Further Applications of Integration

9.1 Arc Length 

1,3,5,7,9,11,13,17,19,27

Chapter 10: Differential Equations

10.1 Modeling and Differential Equations

1,3,5,9,11

10.3 Separable Equations

1,3,5,7,9,11,13,15,19,25

10.4 Exponential Growth and Decay 

1,3,5,9,13,15

Chapter 11: Parametric Equations and Polar Coordinates

11.1 Curves Defined by Parametric Equations 

1,3,5,7,9,11,13,27,31,35

11.2  Calculus with parametric Curves

1,3,5,7,9,11,13,15,19,21,25,27,31,33,35

11.3 Polar Coordinates

1,3,5,6,7,9,13.15,17,19,21,23,25,27,29,31,33,35,37,55,59,63,65,69,77

11.4 Areas and Lengths in Polar Coordinates 3,5,7,9,17,21,23,27,29,31,33,35,37,39, 43,45,49,51

11.5 Conic Sections 

1,5,7,11,13,15,17,19,21,23,25,27,29

Chapter 12: Infinite Sequences and Series

12.1 Sequences

3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,41,47,53,55,57

12.2 Series

3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,35,37,39,41,43,45,47,49

12.3 The Integral Test and Estimates of Sums

3,5,7,9,11,13,15,17,19,21,25

12.4 The Comparison Tests

1,2,3,5,7,9,11,13,15,17,19,21,23,27,29

12.5 Alternating Series

3,5,7,9,11,13,15,23,27,29

12.6 Absolute Convergence and the Ratio and Root Tests

1,3,5,7,9,11,13,15,19,23,25,26,27,33,35

12.7 Strategy for Testing Series

1,3,5,7,9,11,13,15,17,25,27,31,33,35,37

12.8 Power Series

3,5,7,9,11,15,17,19,21,23

12.9 Representation of Functions as Power Series

3,5,7,9,11,13,15,17,19,21,25,29

12.10 Taylor and Maclaurin Series

3,5,9,11,13,21,23,25,27,31,33,35,49,53,55,57

12.11 The Binomial Series 

1,3,5,7,9,11

12.12 Applications of Taylor Polynomials 

3,5,7,9