Clarendon College

Clarendon, Texas

Spring 2010

Math 2413-101 and 2413L-101

Calculus I

 

Instructor:  Linda Rowland                          Office:  109

                     Box 968                                             Phone:  806-874-4824 

                            Clarendon, TX 79226                 e-mail:  linda.rowland@clarendoncollege.edu

Classroom Location: Clarendon College Room #101             Time:  Dual Credit
Office Hours:   M  12:00 to 12:30
                         T  8:00-9:30, 11:00 to 1:00 and 2:20 to 5:00pm
                         R    11:00 to 1:00        

                                              
Course Description:  Limits and continuity of functions, techniques of differentiation, applications of the derivative and  anti-differentiation. 

Lecture Hours:  3

Laboratory Hours: 1

Semester Hours: 4

Prerequisites:  Math 1314, Math 1316, or consent of instructor.

 

Statement of Purpose:
      This course is intended to prepare students for further studies in mathematics and science, to meet the math requirements for an associate degree, and be a transferable credit to another institution. 

 

Required Instructional Materials:

Textbook: Finney, Weir, Hass, Giordano. Thomas’ Calculus, 11th edition. Addison Wesley, 2005.

 

Supplies:  Textbook, paper, graph paper, pencil,  graphing scientific calculator, and/or MathXL/MyMathLab (optional)

 

Methods of Instruction:

1.     Answer questions and review previous assigned work.

2.     Explanation of the concept and skills under consideration

3.     Provide examples on the board with step by step explanation of the operations and principles being applied.

4.     Comment when appropriate on the history, importance, and application of specific concepts.

5.     Overheads and power point when appropriate.

Course Objectives

At the end of the course the student should be able to:

1.     Apply the basic principles of Analytic Geometry.

2.     Define and apply limits and continuity of functions.

3.     Take and define the derivative of algebraic and trigonometric functions.

4.     Sketch the curve and its derivative and the line of tangency at a point.

5.     Apply the derivative to certain application problems including differentials.

6.     Solve and define integrals both definite and indefinite.

 

Exemplary Objectives:

1.     To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical methods to modeling and solving real-world situations.

2.     To represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically.

3.     To expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments.

4.     To use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and determine the reasonableness of the results.

5.     To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them.

6.     To recognize the limitations of mathematical and statistical models.

7.     To develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its connections to other disciplines.

 

Grading Policies:

Daily work:  15%    Homework is on MyMathLab/Math XL or out of the textbook.   All assignments completed out of the book must have all work shown mathematically or verbally in order to receive credit. (“Answer is in the back of
                                  the book” is an unacceptable explanation)

Lab    10%              Lab will be held in classroom 101 unless posted to go to room 203

Quizzes:  15%       Quizzes will be on the Math XL/MyMathLab or given on Tuesdays as listed in the syllabus below.  There are no makeup’s on quizzes.

 

Tests: 30%            Chapter tests are on the MathXL/MyMathLab or given on the Tuesday listed in the syllabus below.  There is no makeup’s on Test.  If necessary make arrangements to take test early –no tests given after due
                                 date.

Final: 30 %           No early finals given unless proper paperwork has been signed by the Dean of Instruction.

 

IMPORTANT:  NO GRADES WILL BE ACCEPTED BEFORE THE CLASS CONTRACT IS SIGNED.  IF GRADES HAVE BEEN TAKEN BEFORE CLASS CONTRACT HAS BEEN SIGNED THEY WILL BE RECORDED AS ZEROS.

                

A simple average of the above will be used to determine the letter grade for the course based on the following:

                        90 – 100%                            A

                        80 – 89%                              B

                        70 – 79%                              C

                        60 – 69%                              D

                        Below a 60                           F

 

 

A student’s final grade will be made available through Campus Connect at Clarendon College’s website.

 

 

Student Academic Integrity:

Failure to comply with lawful direction of a classroom instructor is a disruption for all students enrolled in the class. Cheating violations include, but are not limited to: (1) obtaining an examination , classroom activity, or laboratory exercise  by stealing or collusion; (2) discovering the content of an examination , classroom activity, laboratory exercise, or homework assignment  before it is given; (3) using an unauthorized source of information during an examination , classroom activity, laboratory exercise, or homework assignment ; (4) entering an office or building to obtain unfair advantage; (5) taking an examination for another person; (6) completing a classroom activity, laboratory exercise, homework assignment, or research paper for another person;  (7) altering grade records; (8) using any unauthorized  form of electronic communication device during an examination, classroom activity, or laboratory exercise;  (9) Plagiarism.  Plagiarism is the using, stating, offering, or reporting as one’s own, an idea, expression, or production of another person without proper credit.

 

Disciplinary actions for cheating in a course are at the discretion of the individual instructor.  The instructor of that course will file a report with the Dean of Students when a student is caught cheating in the course, whether it be a workforce or academic course.  The report shall include the course, instructor, student’s name, and the type of cheating involved.

Students who are reported as cheating to the Dean of Students more than once shall be disciplined by the Dean.  The Dean will notify all involved parties within fourteen days of any action taken.

 

Classroom Conduct:

I will show you the respect you deserve as a student. I, in return, expect respectful behavior from you.

Disrespectful behavior includes…

 

Class Policies: 

  1. Absences:  Please take class attendance seriously for it is mandatory.  You are here to learn all you can learn, to build a body of knowledge to help you in your career and/or to give you satisfaction in the future.  Students who are motivated come to class.  You are responsible for the material covered in class (lecture or lab) even if you are absent. One point will be taken off of final grade for each absent unexcused after the second absence.
  2. Excused absences:  Make-ups for tests will be allowed only if absences are excused.  Excused absences can result from…
    1. illness on the part of the student (must have note from doctor or Dean of Students)
    2. severe illness or death in your immediate (not extended) family (Dean of Students must be notified)
    3. college sanctioned extracurricular events
    4. unfavorable weather conditions that prevent students from reaching the college

If you are going to be absent, you should telephone or e-mail me in advance of the absence (leave a message if necessary).  Even in emergencies, it usually is possible for you to get word to me about an absence. When you return, you must furnish proof of the reason for your absence if you wish for it to be excused. Proof is a doctor’s note or an e-mail from the Dean or your coach explaining your absence.

  1. Make-up work:  Late or unexcused work will not be accepted.  Students who have excused absences MUST let me know before the test is given that we need to schedule a make-up.  In most cases, the tests must be taken PRIOR to the absence in order to receive full credit.  **If you take the test after it has been given to the class (due date), you will receive a 5 point drop penalty per school day that passes until you take the make-up.**  To avoid the penalty, MAKE SURE YOU TAKE A MAKE-UP TEST BEFORE YOU LEAVE.
  2. Scholastic Honesty:  I adhere to a strict policy regarding academic honesty. Anyone who is dishonest in any way will receive a zero on that assignment or exam with no opportunity to make up the zero and may be dropped from the course with a grade of F. Note that dishonest behavior includes both the act of copying someone else’s work as well as allowing someone to copy your work.  Both students are equally guilty and will be equally punished.
  3. Electronic Communication Devices:  Please turn them off before you enter class.  Many people now have cell phones, pagers, etc.  When these gizmos sound off in class, they distract everyone—you, I, and other students— and we all have to wait until someone turns off the device before class starts up again.  It’s not fair for anyone to distract and waste the time of a whole class this way.  Consequently, each time an electronic device sounds off in class, one point will be subtracted from the owner’s final course average.  (That means, 5 times = one half a letter grade in the course.)  Medical devices, such as insulin pumps, that have alarms are excused from this policy, but please inform me so that points won’t be deducted erroneously.

American with Disabilities Act Statement:   Clarendon College provides reasonable accommodations for persons with temporary or permanent disabilities. Should you require special accommodations, it is your responsibility to notify the Office of Student Services (806-874-3571 or 800-687-9737).  We will then work with you to make whatever accommodations we need to make.

Dropping a Course:

A student who is enrolled in a developmental course for TSI purposes may not drop his/her only developmental course unless the student completely withdraws from the college. A student may drop any other course with a grade of “W” any time after the census date for the semester and on or before the end of the 12th week of a long semester, or on or before the last day to drop a class of a term as designated in the college calendar. The request for permission to drop a course is initiated by the student by procuring a drop form from the Office of Student Services. (Refer to other policies concerning this issue in the current college catalog online.)   Remember, a student is only allowed to drop the same class twice before he/she will be charged triple the tuition amount for taking the class a third time or more.

Important dates:      Last Day to Add/Drop         Thursday, January 21st

                               Spring Break                      March 15th – 20th

                               Good Friday                      Friday, April 2nd

                          Last Day to drop with a W       Friday, April 9th

                                Final Exams                      May 1st thru 6th  (this will vary for High School Dual Credit)

 

 

Withdrawal from College:

Withdrawal:  If you decide that you are unable to complete this course or that it will be impossible to complete the course with a passing grade, you may drop the course and receive a “W” on your transcript instead.  Withdrawal from a course is a formal procedure that you must initiate.  If you do not go through the formal withdrawal procedure, you will receive a grade of an”F" on your transcript. A student is permitted to drop a course if he/she obtains an official drop slip from the office and has the instructor sign the slip before the 12th class week. 

Remember, a student is only allowed to drop the same class twice before he/she will be charged triple the tuition amount for taking the class a third time or more.  Furthermore, beginning with the Fall 2007 semester, students in Texas may only drop a total of 6 courses throughout their entire undergraduate career.  After the 6, he/she will no longer be able to withdraw from any classes.

 

Course Schedule/Outline:  All homework assignments and chapter test are on your “MathXL/MyMathLab”.  Check it daily!!!  If you choose to work out of the textbook: answers only will be counted wrong.  You must show all work or an explanation of how you determined your answer in order to get credit.. All homework is due at class time of date specified below.  Tests for students working out of the book only will be given on the Tuesday specified below in the afternoon.  If you have chosen not to use the Math XL/MyMathLab work for test and quizzes must be turned in by due date.  Any work turned in after due date will not be considered in raising a grade.

Students must sign class contract specifying source of assignments, MyMathLab or textbook, before any grades will be accepted.   

Chapter 1: Preliminaries

1.1    Real Numbers and the Real line:  Problems 1, 7, 15, 21, 23, 31, 35 due on January 15th at class time.

1.2    Lines, Circles, and Parabolas:  Problems 9,19,23,27,31,43,49,57,83 due on January 18 at class time.

1.3    Functions and their graphs:  Problems 1, 3, 5, 7. 17. 23. 25. 27. 33. 37. 39, 40 due on January 20th at class time.

Quiz; On Math XL or  Tuesday January 26th

1.4    Identifying Functions:  Mathematical Models:  Problems 1, 3, 7, 9, 13, 19, 23, 33  due January 22nd at class time.

1.5    Combining Functions:  Shifting and Scaling Graphs:  problems 1,5,11,15,19, 27, 29, 39, 43, 51, 55, 63, 65, 71, 73 due January 25th at class time.

1.6    Trigonometric Functions: problems 1,7,9,11,13,15,17,19,21,39, 41,43, 47 due January 27 at class time.

1.7    Graphing with calculators: problems 3,9,11,17,25,41 due January 29th at class time.

Chapter Test is on the Math XL and will be given for those working out of the book on February 2nd

Chapter 2:  Limits and Continuity

                      2.1   Rates of Change and Limits:  Problems 1, 3, 11, 17, 21, 23, 25, 27, 29, 31, 33, 37 due February 1st.

                     Quiz:  Is posted on Math XL or take on February 2nd

                     2.2 Calculating Limits using the Limit Laws:  Problems 3, 7, 13, 17, 23, 29, 35, 43, 49 due February 3rd

                    2.3 The precise Definition of a Limit:  Problems 1, 7, 11, 15, 17, 19, 21, 23, 25, 31, 33, 55, 57 due on February 5th

                     2.4 One-sided limits and Limits at Infinity:  Problems 1,7, 13, 17, 23, 27, 31, 37, 41, 45, 49, 53, 61 due February 8th 

                    Quiz:  is posted on math XL or take in the classroom on February 9th

                    2.5 Infinite Limits and Vertical Asymptotes:  Problems 3, 7, 15,19, 23, 27, 33, 37 due on February 10th                 

                    2.6  Continuity:  Problems 3,5,7,9,11,13,15,17,19,21,25,27,29,35,39 due on February 12th

                    2.7 Tangents and Derivatives:  Problems 5,7,9,11,13,15,17,19, 23, 25, 27, 29, 35, 41 due on February 15

                           Chapter 2 test is on the Math XL and will be given to those working out of the book on February 23rd

 

Chapter 3:  Derivatives

                  3.1 The derivative as a function:  Problems 1,3,5,7,8,11,13, 15,17,19,25,27,29,33,41 due February 17th

                  3.2 Differential Rules:  Problems 3,7,11,15,21,25,31,37,41,47 due February 19thh at class time.

                  3.3 The Derivative as a Rate of Change:  Problems 1,3,5,6,9,10,13,15,19,23,25,28 due February 22nd .

                    Quiz: is posted on Math XL or can be taken in classroom 101 on February 23rd

                    3.4  Derivatives of Trigonometric Functions:  Problems  3,5,7,11,13,17,23,25,37,39,43,45,49 due February 24th

                    3.5  The Chain Rule and Parametric Equations Problems 1,5,11,17,21,25,31,35,39,45,53,61,89,113 due March 1st

                  Quiz: is posted on Math XL or can be taken in the classroom 101 on March 2nd

                  3.6 Implicit Differentiation: Problems 3,9,13,15,19,25,27,33,39,43,45,49,41,55,59 due March 3rd

                  3.7 Related Rates: Problems 1,5,7,10,13,15,17,23,27,29,31,35 due March 8th

                    Quiz: is posted on Math XL or can be taken in the classroom 101 on March 9th

                  3.8 Linearization and Differentials: Problems 1,3 9, 13,17,19,25,27,31,35,45,47,49,55 due March 10th

                 Chapter 3 test is on the Math XL and will be given to those working out of the book on March 23rd.

 

Chapter 4:  Application of Derivatives

                     4.1 Extreme Values of Functions:  Problems 1,7,15,19,25,29,35,43,47,55,61,27 due March 12th

                     Quiz: is posted on Math XL or can be taken March 23

                    4.2  Mean Value Theorem; problems 1,3,4,25,27,31,33,37,39,41,43 due March 22nd

                      4.3  Monotonic Functions and the 1st derivative:  Problems 1,3,5,7,9,11,13,15,17,21,23,29,33,35 due on March 24th

                      4.4  Concavity and Curve Sketching:  problems 1,5,7,9,11,17,23,27,29,35,41,45,51,55 due on March 26th

                      Quiz: is posted on Math XL or can be taken Tuesday, March 30th

                      4.5 Applied Optimizations: problems 1, 7, 9, 12, 19, 23, 27, 33, 37, 43 due on March 29th

                    4.6 Indeterminate Forms and L’Hopital’s Rule: problems 1, 5, 7, 9, 11, 15, 19, 23 due March 31st

                      4.7 Newton’s Law:  problems 1,2 3, 5 due April 5th

                      4.8 Antiderivatives:  problems 1,11,17,23,311,35,39,43,49,67,73,79,83,97 due on April 7th

                      Chapter 4 Test is on the Math XL and will be given to those working out of the book on April 13th

 

Chapter 5:  Integration

                        5.1 Estimating with Finite Sums: problems 1,5,7,9,11,13,14,15,17,19 due on April 9th

                        5.2 Sigma Notation and Limits of Finite Sums: problems 1,3,5,11,15,17,21,25,31,35,37 due on April 12

                        5.3  The Definite Integral:  problems 7,15,21,23,31,35,41,45,51,55,59 due on April 14th

                        Quiz is posted on Math XL or can be taken Tuesday, April 20th

                        5.4 The Fundamental Theorem of Calculus:  problems 1,7,11,15,19,23,39,33,39,43,57,63 due on April 16th

                        5.5 Indefinite Integrals and the Substitution Rule: problems 5,11,15,19,23,27,33,43,47,59 due on April 19th

                        5.6  Substitution and Area between Curves:  problems 3,9,15,21,29,35,41,45,53,63,73 due on April 21st

                        Chapter 5 Test is on the Math XL and will be given to those working out of the book on April 27th

Final Exam will be given during the week of May 3rd through 7th.  This will be posted by the Dean of Instruction.  If you need to take the Exam early then you must fill out the appropriate paper work and have it signed by the Dean.

Course outline and dates are subject to change at discretion of Instructor.