Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Oakton CC Calc II Syllabus: Topics, Objectives & Methods (Summer '05), Lab Reports of Calculus

The syllabus for calculus ii, a college-level mathematics course offered at oakton community college during the summer of 2005. The syllabus outlines the course objectives, topics covered, instructional methods, and methods of evaluation. The course focuses on integration, applications of integration, methods of integration, infinite series, polar and vector functions, and the use of technology.

Typology: Lab Reports

Pre 2010

Uploaded on 08/04/2009

koofers-user-g0r
koofers-user-g0r 🇺🇸

5

(1)

10 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
{tentative} OAKTON COMMUNITY COLLEGE
CLASS SYLLABUS
Instructor: Tingxiu Wang, Ph.D. Semester: Summer, 2005
Division Phone: 847-635-1688 Office Hours: MTWR 2:00—3:00pm
e-mail: tingxiu@oakton.edu Or by appointment
Office Phone: 847-635-1751 Office: Room 2142/DP
http://www.oakton.edu/~tingxiu/
I. Course Prefix Course Number Course 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 vector functions. Use of technology is integrated throughout.
IV. Course Objectives:
A. Evaluate definite integrals by using substitution, integration by parts, and tables.
B. Evaluate improper integrals.
C. Use integrals to find area, volume and arc length; application to physics and engineering.
D. Evaluating differential equations by Euler's method and the separation of variables.
E. Evaluating infinite sequences and series.
F. Using convergence tests and estimating series.
G. Using power series and representing functions by power series.
H. Using Taylor and Maclaurin series.
I. Understand two dimentional vector functions and their applications.
J. Understand polar equations and their application to differentiation and integration.
H. 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.
pf3
pf4

Partial preview of the text

Download Oakton CC Calc II Syllabus: Topics, Objectives & Methods (Summer '05) and more Lab Reports Calculus in PDF only on Docsity!

{tentative} OAKTON COMMUNITY COLLEGE

CLASS SYLLABUS

Instructor: Tingxiu Wang, Ph.D. Semester: Summer, 2005 Division Phone: 847-635-1688 Office Hours: MTWR 2:00—3:00pm e-mail: tingxiu@oakton.edu Or by appointment Office Phone: 847-635-1751 Office: Room 2142/DP

http://www.oakton.edu/~tingxiu/

I. Course Prefix Course Number Course 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 vector functions. Use of technology is integrated throughout.

IV. Course Objectives: A. Evaluate definite integrals by using substitution, integration by parts, and tables. B. Evaluate improper integrals. C. Use integrals to find area, volume and arc length; application to physics and engineering. D. Evaluating differential equations by Euler's method and the separation of variables. E. Evaluating infinite sequences and series. F. Using convergence tests and estimating series. G. Using power series and representing functions by power series. H. Using Taylor and Maclaurin series. I. Understand two dimentional vector functions and their applications. J. Understand polar equations and their application to differentiation and integration. H. 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: A. Techniques of Integration

  1. Integration by parts
  2. Integration by substitution, partial fractions and trigonometric substitutions
  3. Integration using tables B. Improper Integrals
  4. Infinite limits of integration
  5. Integration over discontinuities C. L'Hopital's rule

D. Applications of the Definite Integral

  1. Volumes using the cross-sectional area
  2. Volumes of solids of revolution
  3. Arc length
  4. Work, hydrostatic pressure and force, moments, and center of mass

E. Modeling and Differential Equations

  1. Exponential growth and decay
  2. Separable differential equations
  3. Logistic models

F. Infinite sequences and series

  1. Sequences and series
  2. Geometric series
  3. Tests for positive terms (integral, comparison, ratio, n th root)
  4. Alternating series
  5. Absolute and conditional convergence
  6. Power series
  7. Taylor and Maclaurin series
  8. Applications including binomial series and solution to differential equations G. Polar coordinates
  9. Graphing with polar coordinates
  10. Integration and differentiation using polar coordinates
  11. Applications including area and arclength and surface area

H. Vectors and vector functions

  1. Two-dimentional vectors and dot products
  2. Vector-valued functions
  3. Projectile motion

I. Recommended Technology

  1. Use of technology to evaluate integrals
  2. Use of technology to investigate improper integrals
  3. Use Euler's method and technology to evaluate differential equations
  4. Use technology for graphing, integrating, and differentiating parametric and polar equations

b. It is suggested that you need to spend about 6 hours right after each class to review the notes, read the textbook

No Classes College grades available by e-mail: tingxiu@oakton.edu

Test 1 covers Chapter 5.1-5.7.

Test 2 covers Chapter 6.1, 6.2, 6.5, 7.1-7.7. Test 3 covers Chapter 8.1-8.8. Test 4 covers Chapter 9.1-9.6.

 - CLASS SCHEDULE, SUMMER and do home work. You also need to do quizzes on Friday and one day in each weekend. - MAT251-1E 
  • June 20 8:30-9: WEEK TIME MONDAY TUESDAY WEDNESDAY THURSDAY
    • 10:00-11:
    • 11:30-12:
      • Syllabus, 5. - 5. - 5. - 5. - 5. - 5. - 5. - 5. - 5. - 5. Catch-up - 5.7, Quiz
  • June 27 8:30-9:
    • 10:00-11:
    • 11:30-12: - Test Review - Test - 6. - 6. - 6. - 6. - 6. - 7. - 7. - 7. - 7.3, Quiz
  • July 4 8:30-9:
    • 10:00-11:
    • 11:30-12: - 7. Closed - 7. - 7. - 7. - 7. - 7. - 8. - 8. - 8.2, Quiz
  • July 11 8:30-9:
    • 10:00-11:
    • 11:30-12: - Test Review - Test - 8. - 8. - 8. - 8. - 8. - 8. - 8. - 8. - 8.8, Quiz
  • July 18 8:30-9:
    • 10:00-11:
    • 11:30-12: - Test Review - Test - 9. - 9. - 9. - 9. - 9. - 9. - 9. - 9. - 9.6, Quiz
  • July 25 8:30-9:
    • 10:00-11:
    • 11:30-12: - Test Review - Test