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MA 221 Calc & Analy Geom for Majors I
Chamberlin, Samuel


Mission Statement: Park University provides access to a quality higher education experience that prepares a diverse community of learners to think critically, communicate effectively, demonstrate a global perspective and engage in lifelong learning and service to others.

Vision Statement: Park University, a pioneering institution of higher learning since 1875, will provide leadership in quality, innovative education for a diversity of learners who will excel in their professional and personal service to the global community.

Course

MA 221 Calc & Analy Geom for Majors I

Semester

FA 2012 HO

Faculty

Chamberlin, Samuel

Title

Assistant Professor of Mathematics

Degrees/Certificates

Ph.D. in Mathematics University of California, Riverside
M.A. in Mathematics University of California, Los Angeles
B.S. in Mathematics Portland State University

Office Location

Science Hall 306

Office Hours

Mon 2-3pm; Tues, Wed, and Thurs 2-4pm; Fri 10-11am

Daytime Phone

(816)584-6260

E-Mail

samuel.chamberlin@park.edu

Web Page

https://sites.google.com/site/samuelchamberlin/

Semester Dates

August 20 to December 7 2012

Class Days

-M-W---

Class Time

10:00 - 10:50 AM

Prerequisites

MA 141 or MA 150 or equivalent.

Credit Hours

5


Textbook:


University Calculus, Early Transcendentals, Single Variable, 2/E
Joel HassUniversity of California, Davis
Maurice D. WeirNaval Postgraduate School
George B. Thomas, Jr.Massachusetts Institute of Technology

ISBN-10: 0321694597
ISBN-13:  9780321694591

Publisher:  Pearson
Copyright:  2012

Textbooks can be purchased through the Parkville Bookstore

Additional Resources:
All homework must be completed using the online program MathXL.  1. Registering for MathXL

Before you begin, make sure you have the access code that comes with your MathXL Access Kit. If you don't have an access kit, you can buy the code online by clicking Buy Now at www.mathxl.com.

To register, go to the www.mathxl.com for MathXL, click the Register button, and then follow the instructions on the screen.

2. Enrolling in your instructor's course

After registering, log in to MathXL with your username and password. To enroll in this course, enter the following Course ID:

The Course ID for your course is: XL0Z-41PD-801Z-4C72

Need more help?

To view a complete set of instructions on registering and enrolling, go to www.mathxl.com and visit the Tours page.

McAfee Memorial Library - Online information, links, electronic databases and the Online catalog. Contact the library for further assistance via email or at 800-270-4347.
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Course Description:
MA 221 Calculus and Analytic Geometry for Majors I: The calculus begins with a study of limits of functions and continuity. Additional topics to be considered include: the derivatives of algebraic, trigonometric, exponential and logarithmic functions, differentiation techniques, applications of differentiation, the Mean Value Theorem, indefinite integration, definite integrals, the Fundamental Theorem of Calculus, and basic rules of integration. Prerequisite: MA150 or equivalent. 5:0:5

Educational Philosophy:

To understand mathematics students must be active learners. They must work many problems both inside and outside of the classroom. The problems assigned should vary in difficulty so that every student is challenged but not overwhelmed. Students should seek out help before becoming discouraged.

Learning Outcomes:
  Core Learning Outcomes

  1. Define a mathematical limit and compute various limits
  2. Define a continuous function
  3. Recognize where continuity occurs and its consequences
  4. Define the derivative in terms of a limit of a difference quotient and recognize its geometric applications and properties
  5. Differentiate polynomials, trigonometric, exponential, and inverse functions
  6. Utilize first and second derivatives to graph functions
  7. Apply derivatives to optimization and related rates problems
  8. Apply the power rule, the sum rule, the difference rule, the constant factor rule, the product rule, the quotient rule, and the chain rule to compute derivatives
  9. Apply Newton's Method to approximate a solution of an equation.
  10. Compute the area under a given curve using Riemann sums
  11. Compute integrals using the power rule, the sum difference rules, and simple substitution.
  12. State and utilize the Fundamental Theorem of Calculus to compute definite integrals.
  13. Use L'Hopital's rule to compute limits that have indeterminate forms.


Core Assessment:

Link to Class Rubric

Class Assessment:
Examinations, quizzes, and homework.

Grading:
Homework 10%

Quizzes 10%
Midterm 30%
Final exam 50%

Late Submission of Course Materials:
No late submissions of make ups are allowed except in the case of an unplanned documented emergency. (documentation will be required in the form of a doctor's note, accident report, etc.)

Classroom Rules of Conduct:
Turn off all electronic devices and be respectful of your classmates, professor and yourself. Do not talk in class unless the purpose is to participate.

Course Topic/Dates/Assignments:
All homework must be completed using the online program MathXL. 


The First Assignment is due 8/27.

Academic Honesty:
Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life. Park University students and faculty members are encouraged to take advantage of the University resources available for learning about academic honesty (www.park.edu/current or http://www.park.edu/faculty/).from Park University 2011-2012 Undergraduate Catalog Page 95-96

Plagiarism:
Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing. from Park University 2011-2012 Undergraduate Catalog Page 95

Attendance Policy:
Instructors are required to maintain attendance records and to report absences via the online attendance reporting system.

  1. The instructor may excuse absences for valid reasons, but missed work must be made up within the semester/term of enrollment.
  2. Work missed through unexcused absences must also be made up within the semester/term of enrollment, but unexcused absences may carry further penalties.
  3. In the event of two consecutive weeks of unexcused absences in a semester/term of enrollment, the student will be administratively withdrawn, resulting in a grade of "F".
  4. A "Contract for Incomplete" will not be issued to a student who has unexcused or excessive absences recorded for a course.
  5. Students receiving Military Tuition Assistance or Veterans Administration educational benefits must not exceed three unexcused absences in the semester/term of enrollment. Excessive absences will be reported to the appropriate agency and may result in a monetary penalty to the student.
  6. Report of a "F" grade (attendance or academic) resulting from excessive absence for those students who are receiving financial assistance from agencies not mentioned in item 5 above will be reported to the appropriate agency.

Park University 2011-2012 Undergraduate Catalog Page 98

Disability Guidelines:
Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: http://www.park.edu/disability .

Additional Information:

Bibliography:



Rubric

CompetencyExceeds Expectation (3)Meets Expectation (2)Does Not Meet Expectation (1)No Evidence (0)
Define a mathematical limit and compute various limits                                                                                                                                                                                                     
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Computes correctly 85 % or more of the limits presented Computes correctly 70 to 84 % of the limits presented Computes correctly less than 70 % of the limits presented  
Define a continuous function                                                                                                                                                                                                                               
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
States the 3 customary parts of the definition of continuity of functions. States only 2 of the 3 customary parts of the definition of continuity of functions. States one or none of the 3 customary parts of the definition of continuity of functions.  
Recognize where continuity occurs and its consequences                                                                                                                                                                                                     
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Recognizes continuity and points of discontinuity in 85% or more of the functions presented. Recognizes continuity and points of discontinuity in 70 to 84 % of the functions presented. Recognizes continuity and points of discontinuity in less than 70 % of the functions presented.  
Define the derivative in terms of a limit of a difference quotient and recognize its geometric applications and properties                                                                                                                                 
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Uses the definition of derivative to find tangent lines of (2) functions. Part of the requirement should include graphing the functions and the tangent lines. Uses the definition of derivative to find tangent lines of (1) functions. Part of the requirement should include graphing the functions and the tangent lines. Uses the definition of derivative to find tangent lines of (0) functions. Part of the requirement should include graphing the functions and the tangent lines.  
Differentiate polynomials, trigonometric, exponential, and  inverse functions                                                                                                                                                                              
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Differentiates correctly 85% or more of the functions presented. (Core assessment should contain at least one function of each type) Differentiates correctly 70 to 84 %   of the functions presented. (Core assessment should contain at least one function of each type) Differentiates correctly less than 70 % of the functions presented. (Core assessment should contain at least one function of each type)  
Utilize first and second derivatives to graph functions                                                                                                                                                                                                    
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Utilize the first and second derivatives to graph a function with 85% accuracy or higher Utilize the first and second derivative to graph a function with between 70% and 85% accuracy Utilize the first and second derivative to graph a function with an accuracy of less than 70%.  
Apply derivatives to optimization and related rates problems                                                                                                                                                                                               
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Correctly solves more than 85 % of the optimization problems presented using derivatives Correctly solves 70 to 84 % of the optimization problems presented using derivatives Correctly solves less than 70 % of the optimization problems presented using derivatives  
Apply the power rule, the sum rule, the difference  rule, the  constant factor rule, the product rule, the quotient rule, and  the chain rule to compute derivatives                                                                                       
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Differentiates correctly 85% or more of the functions presented. (Core assessment should contain at least one example of each rule) Differentiates correctly
70 to 84 % of the functions presented. (Core assessment should contain at least one example of each rule)
 
Differentiates correctly less than 70 % or less of the functions presented. (Core assessment should contain at least one example of each rule)  
Apply Newton's Method to approximate a solution of an equation.                                                                                                                                                                                            
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Correctly solves 85% or more of the equations presented using Newton's method to a specified accuracy. Correctly solves 70 to 84 % of the equations presented using Newton's method to a specified accuracy. Correctly solves less than 70 % of the equations presented using Newton's method to a specified accuracy.  
Compute the area under a given curve using Riemann sums                                                                                                                                                                                                    
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Correctly computes 85% or more of the area problems presented using Riemann Sums. Correctly computes 70 to 84 % of the area problems presented using Riemann Sums. Correctly computes 70 to 84 % of the area problems presented using Riemann Sums.  
Compute integrals using the power rule, the sum difference rules, and simple substitution.                                                                                                                                                                 
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Correctly computes 85% or more of the integrals presented using the stated rules. (Core assessment should contain at least one example of each technique) Correctly computes 70 to 84 of the integrals presented using the stated rules. (Core assessment should contain at least one example of each technique) Correctly computes less than 70 % of the integrals presented using the stated rules. (Core assessment should contain at least one example of each technique)  
State and utilize the Fundamental Theorem of Calculus to compute definite integrals.                                                                                                                                                                       
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Use the FTC to compute correctly 85% or more of the integrals presented Use the FTC to compute correctly 70 to 84 % of the integrals presented Use the FTC to compute correctly  less than 70 % of the integrals presented  
Use L'Hopital's rule to compute limits that have indeterminate forms.                                                                                                                                                                                      
Outcomes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
Use  L'Hopital's rule to compute correctly 85% or more of the limits presented Use  L'Hopital's rule to compute correctly 70 to 84% of the limits presented Use  L'Hopital's rule to compute correctly less than 70 % of the limits presented  

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Last Updated:8/11/2012 6:50:52 PM