OAKTON COMMUNITY COLLEGE

COURSE SYLLABUS

Instructor: Mr. R. Gordon McClarren Spring 2005

Phone: 847-376-7082 Office Hours:

Office: 2530 D MWF 9:10-10:00 W 2-3

E-mail gmcclarr@oakton.edu TR 7:40-8:30

I. Course Course Course

Prefix Number Name Credit: Lecture Lab

MAT 251 Calculus II 4 4 0

II. Prerequisites:

MAT 250 with a grade of C or better.

III. Course (catalog) Description:

This course is a continuation of MAT 250 and focuses on integration, applications of

integration, methods of integration, infinite series, polar and parametric equations. Use of

technology is integrated throughout.

IV. Learning Objectives:

    1. Evaluating definite integrals by using substitution, integration by parts, and tables.
    2. Evaluate improper integrals.
    3. Use integrals to find area, volume and arc length; application to physics and engineering.
    4. Evaluating differential equations by Euler’s method and the separation of variables.
    5. Evaluating infinite sequences and series.
    6. Using convergence tests and estimating series.
    7. Using power series and representing functions by power series.
    8. Using Taylor and MacLaurin series.
    9. Understand 2 dimensional vector functions and their applications.
    10. Understand polar equations and their application to differentiation and integration.
    11. Use technology for evaluating integrals, series, and polar and parametric equations.

V. Academic Integrity:

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Oakton Community College has adopted a Code of Academic conduct and a Statement of Student Academic Integrity. These may be found in the student Handbook. You may also find a summary of the Code of Academic Conduct in the College Catalog. Among the violations of academic integrity listed and defined are: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, falsification of records and official documents, personal misrepresentation and proxy, and bribes, favors, and threats.

It is the student's responsibility to be aware of behaviors that constitute academic dishonesty.

Pursuant to the due process guarantees contained in the Policy and Procedures on Student Academic Integrity, the minimum punishment for the first offense for a student found in violation of the standards of academic integrity is failure in the assignment. In addition, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

 

VI. Outline of Topics:

Date

Topic

Textbook Sections

1/19

Review Calculus I

  

1/21

Volume by Slicing and Rotating about Axis

5.1

1/24

Volume by Slicing and Rotating about Axis

5.1

1/26

Method of Volume Using Cylindrical Shells

5.2

1/28

Method of Volume Using Cylindrical Shells

5.2

1/31

Length of Plane Polar Curves

5.3

2/2

1st Order DEQ

5.4

2/4

Springs, Pumping, and Lifting

5.5

2/7

Fluid Forces

5.6

2/9

Moments and Center of Mass

5.7

2/11

Test #1 (Chapter 5)

  

2/14

Logarithms

6.1

2/16

Exponential Functions

6.2

2/18

Linear First-Order DEQ

6.3

2/23

Euler.s Method; Population Models

6.4

2/25

Hyperbolic Functions

6.5

2/28

Test #2 (Chapter 6)

  

3/2

Basic Integration Formulas

7.1

3/4

Integration by Parts

7.2

3/7

Partial Fractions

7.3

3/9

Trigonometric Substitution

7.4

3/11

Trigonometric Substitution

7.4

3/21

Integration Tables

7.5

3/23

L’Hopital’s Rule

7.6

3/25

Improper Integrals

7.7

3/28

Terst #3, (Chapter 7)

  

3/30

Limits of Sequence of Numbers

8.1

4/1

Subsequences, Bounded Sequences

8.2

4/4

Infinite Series

8.3

4/6

Series of Nonnegative Terms

8.4

4/8

Alternating Series

8.5

4/11

Power Series

8.6

4/13

Power Series

8.6

4/15

Taylor and Maclaurin Series

8.7

4/18

Taylor and Maclaurin Series

8.7

4/20

Application of Power Series

8.8

4/22

Fourier Series

8.9

4/25

Fourier Series

8.9

4/27

Fourier Cosine and Sine Series

8.10

4/29

Test #4 (Chapter #8)

  

5/2

Vectors in the Plane, Dot Product

9.1. 9.2

5/4

Vector-Valued Functions

9.3

5/6

Modeling Projectile Motion, Polar Coordinates and Graphs

9.4, 9.5

5/9

Calculus of Polar Curves

9.6

5/11

Review

9.5

5/13

Final Exam

  
     
     

 

 

 

VII. Methods of Instruction:

Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, and regularly assigned homework. Calculators/computers will be used when appropriate.

VIII. Course Practices Required:

1. Doing homework (full credit will only be given if completed when due)

2. Being prepared for class by reading the material that will be covered in class.

3. Expect daily quiz, in class assignments, and writing assignments.

4. The course will be taught using the TI-83 Calculator.

5. Audiovisual tapes of the course are available.

 

IX. Instructional Materials

Textbook: Thomas’ Calculus, 10th Edition, Finney, Weir, Giordano, Addison Wesley Longman 2001

A graphics calculator is required. A TI-83 is strongly recommended.

  1. Methods of Evaluation:
    1. Four exams 60%. (Only one late exam can be taken in the testing center with approval prior to start of the in classroom test).
    2. Comprehensive final exam 30%.

3. Home work 10% (Due the following class)

4. Grading Scale 90-100 A, 80-89 B, 70-79 C, 60-69 D, Below 60 F

XI. Other Information

1. To be successful in this class your must be present for all classes. Get to know someone in the class so that if you are absent you can call them to find out the assignment for the next class, test information, and any other information that may be important.

2. If you need extra help make an appointment to see me during by office hours. There are tutors available the Instruction Support Center.

3. Students are expect to maintain a class room environment that allows learning for all students. Lateness does disturb the whole class.

4. Late tests will only be given if called or e-mailed prior to the scheduled time for the quiz or test to begin. They must be completed prior to the next class or as arranged.

5.. If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To Request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfil essential requirements. The College will not waive any essential skill or requirement of a course or degree program

 

Homework Assignments

Section

Page

Problems

Review

233

1-41 odd

Review

408

1-19 odd, 29-51 odd

5.1

424

1,7,13,17,21,33,37,45

5.2

433

1,7,15,20,23,25

5.3

441

1.7.11.13.15.23

5.4

451

1,5,11,15,19,25,27

5.5

460

1,5,7,9,15,19,25,27

5.6

469

1,5,9,15

5.7

581

5,9,13,19,25,35

6.1

495

1,5,9,17,21,29,33,37,43

6.2

501

1,5,11,19,23,25,29,33,43,45,49,57

6.3

511

1,5,13,15,19,27,31

6.4

522

1,7,11,15

6.5

529

3,5,9,13,17,25,31,37,41,45,49,51,55,67,79,85

7.1

544

1,7,9,15,19,25,29,33,35,37,43,51,53,63,83

7.2

553

1,5,11,19,23,25,31

7.3

563

1,7,9,15,17,21,29,35,41,49

7.4

569

1,5,9,15,19,27

7.5

576

1,5,11,19,21,29,33,37

7.6

584

1,5,7,13,21,31,37

7.7

598

7,11,15,23,35,39,49,57

8.1

617

5,9,13,17,21,25,31,39,45

8.2

625

1,5,7,9,11,15,21,27

8.3

637

1,3,7,11,13,17,19,23,27,31,33,37,41

8.4

649

1,5,9,13,15,19,21,25,29,35,39,43,39,53,57,63

8.5

658

1,5,11,15,17,23,29,37,45

8.6

668

1,7,11,15,21,25,33

8.7

681

1,7,7,9,11,15,23,25,31,45

8.8

690

1,7,11,15,19,25,29,33,37

8.9

697

1,5,11,13

8.10

705

1,3,9,11

9.1

726

1,7,9,13,17,19,23,25,29,35,39,43

9.2

735

1,5,7,11,25,27,35

9.3

746

1,5,11,13,15,19,23,31

9.4

757

1,9,13

9.5

768

1,3,7,11,19,43,49,67

9.6

777

1,7,9,13,19,31,37