North Carolina Agricultural and Technical

                    State University

                         Department of Mathematics

Course Syllabus for Math 131: Calculus I

Course Information

Course Number/Section            Math 131-007

Course Title                              Calculus I

Term                                        Spring 2010

Days & Times                          Mon, Tue, Wed & Fri during 1:00-1:50 PM.

 

Professor Contact Information

Professor                                  Dr. Y. Kyei 

Office Phone                            336 285 2080

Secretary Ph                             336 285 2033

Email Address                           ykyei@ncat.edu

Office Location                         Marteena 232

Office Hours                             MWF: 12-12:50 PM & 3-3:50 PM

 

Other Information                      Class Website: http://www.ncat.edu/~ykyei/teaching/math131/
                                               Homework: Assigned on webassign.net.

                                               You need to register using the class key: ncat 3449 4184.

 

Course Pre-requisites, Co-requisites, and/or Other Restrictions:

Course Description:

The course presents the concepts of calculus from geometric, numeric, and symbolic points of view. Students will develop their reading, writing and questioning skills, as well as their ability to apply the concepts in real-life problems. Topics include a brief review of polynomials, and trigonometric functions and their graphs, followed by discussion of limits, continuity, derivatives and their applications to real-life problems in various fields. An introduction to integration and its application (area between curves) conclude the course.

 

Student Learning Objectives/Outcomes

1.                   Objective: Effectively demonstrate the ability to evaluate the limits and the ability to determine the continuity of a function.

Outcome:  Students will demonstrate the ability to evaluate limits and determine the continuity of a function

                 in examinations and online assignments.

2.                   Objective: Effectively demonstrate the ability to differentiate elementary and trigonometric functions.

Outcome:  Students will demonstrate the ability to differentiate elementary and trigonometric functions

                 in examinations and online assignments.

3.                   Objective: Effectively demonstrate the ability to use calculus concepts to graph polynomial and trigonometric functions.

      Outcome:  Students will demonstrate the ability to use calculus concepts to graph polynomial and trigonometric functions

                       in examinations.

4.                   Objective: Effectively demonstrate the ability to evaluate the indefinite and definite integrals of basic functions.

      Outcome:  Students will demonstrate the ability to evaluate indefinite and definite integrals of basic functions

                       in examinations and online assignments.

5.                   Objective: Apply concepts of differentiation and integration to real-life problems and solve the problems. 

Outcome:  Students will demonstrate the ability to apply concepts of differentiation and integration to real-life problems and solve

                 the problems in examinations. 

 

Required Textbooks and Materials:   Thomas’ Calculus by Weir, Hass and Giordano, 11th Edition & a student pass key for online assignments.

Course Topics

There are 59 instructional days in Spring 2010 from Jan 07, 2010 to Apr 30, 2010

                        Teaching (concepts) and other Activities  - 50 days

                  Review for Exams and Class Exams (4)            -   9 days

                                                                                      ----------------------

                                                                     Total                  59 days

 

Chapter 1        Preliminaries                                                                                      (5 days)

1.1      Real Numbers and the Real Line

1.2      Lines, Circles, and Parabolas

1.3      Functions and Their Graphs

1.4     Indentifying Functions; Mathematical Models (Optional)

1.1      Combining Functions; Shifting and Scaling Graphs

1.2      Trigonometric Functions

1.3     Graphing with Calculators and Computers (Optional)

 

Chapter 2        Limits and Continuity                                                                         (8 days)

2.1   Rates of Change and Limits

2.2   Calculating Limits Using the Limit Laws

2.3  The Precise Definition of Limit (Optional)

2.4   One-Sided Limits and Limits at Infinity

2.5   Infinite Limits and Vertical Asymptotes

2.6   Continuity

2.7   Tangents and Derivatives

 

Chapter 3        Differentiation                                                                                     (13 days)

3.1   The Derivative as a Function

3.2   Differentiation Rules

3.3   The Derivative as a Rate of Change

3.4   Derivatives of Trigonometric Functions

3.5   The Chain Rule and Parametric Equations

3.6   Implicit Differentiation

3.7   Related Rates

3.8   Linearization and Differentials

 

Chapter 4        Applications of Derivatives                                                                (12 days)

4.1   Extreme Values of Functions

4.2   The Mean Value Theorem

4.3   Monotonic Functions and the First Derivative Test

4.4   Concavity and Curve Sketching

4.5   Applied Optimization Problems

4.6   Indeterminate Forms and L’Hoptital’s Rule

4.7  Newton’s Method (Optional)

4.8   Antiderivatives

 

Chapter 5        Integration                                                                                          (12 days)

5.1   Estimating with Finite Sums

5.2   Sigma Notation and Limits of Finite Sums

5.3   The Definite Integral

5.4   The Fundamental Theorem of Calculus

5.5   Indefinite Integrals and the Substitution Rule

5.6   Substitution and Area Between Curves

 

                                            Course Standards

Attendance is expected and will be recorded 4 days per week.
---If you are not present when roll is taken or you leave before the end of class, you will be marked absent.
---If you are 10 minutes or more late for class you will be counted absent.
---Excused absences will comply with the university policy on make up work:
        sickness (verification needed)
        death of relative (immediate family);
        participation in an approved university related activity; acting in the capacity of a
        university representative (band, choir, sports, etc. related to travel);
---Extraordinary circumstances including court appearances, family emergency require a
       signed statement.
  Note: Other reasons for class absences are not acceptable.

Four unacceptable absences are equivalent to a failing grade. At best you will be given a letter grade less.

You must take responsibility for seeking help when needed.
---Communication with the instructor is essential to your success. 
---You are expected to take good notes in class. You must write and date notes.
---Notes must be up to date and this will be factored in the class participation grade.
    I may inspect it at any time especially when you come for office hours. 
---Talking and any disturbing misbehavior in class is not allowed. Students
    involved will be asked to leave the class.
---Cell phones must be in vibration or silent mode when you come to class. No texting during class; 
    Such behaviors will erode your class participation grade.

---Making fun of other student’s responses/questions is prohibited. 

Official documentation on students who violate University regulations on academic integrity will be submitted to the Office of Student Conduct.
Examinations: All examinations are "closed book--closed notes.

                                      Tests

 

Date

Coverage

solutions

Sample Test

  Solution

Test 1

Jan. 29

 

 

Sample test 1

Sample Solutions 1

Test 2

Feb. 19

 

 

Sample test 2

Sample Solutions 2

Test 3

Mar. 12

 

 

Sample test 3

Sample Solutions 2

Test 4

April. 09

 

 

Sample test 4

Sample Solutions 4

Final

May

 

 

Sample final

 

 

Suggested Course Materials

Sample questions for Tests

Chapter

Chp 1

Chp 2

3

4

5

Questions

Ch1

Ch2

Ch3



Professor's Notes/Handouts

Chapter

Ch01

Ch02

Ch03

Ch04

Ch05

Notes

Notes

Notes

Notes

Notes

Notes

 

There are no make up of quizzes and none of the test grades will be dropped.

 

Grading Policy:

Homework/Quizzes

20% of grade

Best 8 out of 10 online quizzes

Class Participation

5% of grade

 

attendance 

REQUIRED

 

4 Class Tests

50% of grade

 

Final Exam

25% of grade

 

 

Letter Grade
(A) ----> 90-100%
(B) ----> 80-89%
(C) ----> 69-79%
(D) ----> 55-68%
(F) ----> 55 and below

 

Course Policies

 

Make-up exams:

If you miss a scheduled test with a University excused absence, your final exam grade can replace your missed test grade.

 

Extra Credit:

Needed extra credits will be determined from your homework/quiz scores. 

 

Late Work:

Homework must be submitted on time. Extensions can only be given for technical problems. You need to check daily to know due dates on homeworks.

 

Class Attendance:

Required and roll will be taken four times a week.

 

Technical Support

If you experience any problems with you’re A&T account you may call Aggie Tech Support (formerly Help Desk) at 336.334.7195.

Field Trip Policies / Off-Campus Instruction and Course Activities

 

Student Affairs website: http://www.ncat.edu/~staffair/

 

Student Handbook:  http://www.ncat.edu/~deanofst/Handbook.htm

 

Student Travel Procedures and Student Travel Activity Waiver

http://businessfinance.ncat.edu/policies and procedures index.htm

Off-campus, out-of-state, and foreign instruction and activities are subject to state law and University policies and procedures regarding travel and risk-related activities.  Information regarding these rules and regulations may be found at the website address:

 

Student Travel Procedures and Student Travel Activity Waiver

http://businessfinance.ncat.edu/policiesandproceduresindex.htm. 

Additional information is available from the office of Student Affairs, please check the website at

http://www.ncat.edu/~staffair/. 

Below is a description of any travel and/or risk-related activity associated with this course.

 

Other Policies (e.g., copyright guidelines, confidentiality, etc.)

Student Handbook:  http://www.ncat.edu/~deanofst/Handbook.htm

 

Family Educational Rights and Privacy Act http://www.ncat.edu/~registra/ferpa_info/index.htm

 

Student Conduct & Discipline

North Carolina A&T State University has rules and regulations that govern student conduct and discipline meant to ensure the orderly and efficient conduct of the educational enterprise.  It is the responsibility of each student to be knowledgeable about these rules and regulations.  Please consult the undergraduate

http://www.ncat.edu/~acdaffrs/Bulletin_2008-2010/2008-2010_Undergraduate_Bulletin.pdf

and graduate bulletins:  2008-2010 Graduate Catalog.doc http://www.ncat.edu/~gradsch/cstudents.html and student handbook http://www.ncat.edu/~deanofst/Handbook.htm  for detailed information about specific policies such as academic dishonesty, cell phones, change of grade, disability services, disruptive behavior, general class attendance, grade appeal, incomplete grades, make up work, student grievance procedures, withdrawal, etc.

 

These descriptions and timelines are subject to change at the discretion of the Professor.

 

01.27.09 – Submitted to Faculty Senate by LEW