Course Syllabus

Course Prefix and Number: MATH 121

Course Title & Credit Hours: Survey of Calculus, 4 credit hours

Dakota State University

Academic Term, Year: Summer 2009 (May 18 - June 26)

Course Meeting Time and Location:  Internet Course, final must be taken by June 26th (earlier is fine)

 

Instructors Contact Information:

Dr. Richard Avery

Office: 125 Science Center

Telephone: 256-5188

E-mail: rich.avery@dsu.edu



Office Hours:  I will respond to email every working day and I will respond on most weekends as well.   Please send me an email (preferably through Desire2Learn email) and I will get back to you as soon as possible.

 

Course Description: A survey of calculus including an intuitive approach to limits, continuity, differentiation, and integration with an emphasis on applications of the derivative and the integral as well as topics from multivariable calculus. (2007-2008 DSU Catalog)

 

Course Prerequisites:

Prerequisites: MATH 102 or appropriate math placement.

Technology Skills:  Desire2Learn will be used to deliver course information and will be the primary communication tool between students and instructor.  Contact Susan Eykamp at susan.eykamp@dsu.edu if you are having difficulties gaining access to the Desire2Learn site.  All of the course work including homework, quizzes, and exams will be completed in MyMathLab.  Registration and navigation instructions for MyMathLab are provided on the Desire2Learn site for this course and will be sent to in an email message with the syllabus.

Computer: Access to a computer (PC or Mac) is required to complete the course materials.

Internet Access:  Access to the Internet to work on the course assignments and view course materials in MyMathLab is required.  It is the student’s responsibility to maintain Internet access during the session the course is being taken.

Securing a Proctor: All exams must be proctored and it is the student’s responsibility to secure a suitable proctor for this course.  A proctor is a person that administers exams for this course (ensuring the integrity of the course).  See the proctor guidelines on the Desire2Learn site for further details.  Your proctor must have a business email address, the password for the exam will be sent to the proctor using this email address.  A proctor is required to ensure that students are not getting help on the exams during the exams and is an Electronic University Consortium  (EUC) requirement.

 

Description of Instructional Methods: Students learn mathematics by doing mathematics. Lessons and assignments are developed to engage students and facilitate learning.  (ACTIVE LEARNING)

                                                                                                                       

Course Requirements:

Required Textbook(s) and Other Materials: MyMathLab Access Code for:  Brief Calculus and Its Applications, 11/E (Goldstein-Schneider-Lay-Asmar, Prentice Hall, Upper Saddle River, New Jersey, 2007).   The multimedia textbook is contained in the MyMathLab course site, see the MyMathLab Registration Instructions on the Desire2Learn site for instructions on purchasing the Access Code.  A paper copy of the text is not required.

           

A graphing calculator is required to complete some of the exercises in this course.  Graph/Calc is a freeware graphing calculator that you can use for this course on your computer.  The interface is nearly identical to a hand-held graphing calculator.  Students can download the Graph/Calc at http://www.graphcalc.com/download.shtml.   

 

Course ID:  avery70613 is the MyMathLab Course ID for the Math 121 course during the Summer of 2009.

 

Homework Completion Policy: Students are expected to complete assignments by the deadlines set in MyMathLab and there will be no make-up opportunities for missed homework and quizzes.  Students must complete at least 75% of the homework correctly to take that sections quiz (for example Q 3.2) which contains just a few questions (sometimes just one) from that sections homework (quizzes do not need to be proctored, I think of them as single attempts at a few homework questions).  Not all sections have quizzes and some quizzes can be taken more than once in which case the highest achieved score is used in the evaluation procedure.

 

Cheating & plagiarism Policy: Academic dishonesty includes giving, receiving or using unauthorized aid on any academic work. The definition of academic dishonesty and the procedure for handling it are described in detail in the current version of the student handbook.  You should read and understand this material.  You will be allowed to use any handwritten notes during the exams as well as anything you have saved on your computer, however you are not allowed to use any communication tools during an exam (that means no email, no networking sites like facebook, no phones – turn off your cell phone or leave with your proctor, …).  You will  not receive credit (zero) if you are caught using communication tools during an exam or using unauthorized aid during an exam of any form.

 

Make-up Policy: There will be no make up opportunities for missed quizzes or homework assignments, you must meet the deadlines set in MyMathLab.  In the case of an excusable extended illness/absence during the semester contact the instructor to make arrangements for completing the course.

 

The Professor reserves the right to modify this course syllabus to better meet student needs.

 

             University Deadlines:

 

Add/Drop Deadline (Census Day): May 21st is the last day to add this course or drop this course and receive 100% refund. 

 

                        Withdraw Deadline: June 15th is the last day to withdraw from this course and receive a grade of “W”.

 

      DSU Student Information and Help Links:

 

Student Handbook: http://www.departments.dsu.edu/studentaffairs/handbook/

DSU Catalogs: http://www.departments.dsu.edu/registrar/catalog/

Computing Services Support: http://www.support.dsu.edu/

 

            MyMathLab Online Support: http://247pearsoned.custhelp.com/ (click on the Ask a Question Tab)

            MyMathLab Phone Support:  1-800-677-6337

 

Course Goals: Regental General Education Goal #5: Students will understand and apply fundamental mathematical processes and reasoning.

 

Student Learning Outcome 1: Use mathematical symbols and mathematical structure to model and solve real world problems.

Assessment: Students will:

a.       Use derivatives to calculate rates of change on homework, quizzes and exams.

b.      Use integrals to calculate total change on homework, quizzes and exams.

c.       Learn background concepts to use when computing derivatives and integrals that could be used in real world problems and applications.

 

Student Learning Outcome 2: Demonstrate appropriate communication skills related to mathematical terms and concepts.

Assessment: Students will:

a.       Demonstrate knowledge of limits, derivatives and integrals and relate this information to real world problems on homework, quizzes and exams.

b.      Relate functions, limits (all kinds) of functions, derivatives (first and second) of functions, and integrals of functions with graphs on homework, quizzes and exams.

c.       Approximate limits, derivatives, and integrals of functions from a table of function data.

 

Student Learning Outcome 3: Demonstrate the correct use of quantifiable measurements of real world situations.

            Assessment: Students will:

a.       Use the definitions of integrals and derivatives to determine units and real world interpretations on homework, quizzes and exams.

b.      Apply knowledge of derivatives and integrals to business and life science applications on homework, quizzes and exams.

c.       Students will use technology as an appropriate tool on homework, quizzes and exams.

 

 

Measurable Learning Objectives by Chapter:  Questions on exam 1, 2 or the final exam (in addition to homework and quizzes) assess the following core course objectives which have been organized by chapter below and are summarized in student learning outcomes 1,2 and 3 above.

 

            Chapter 1:     

Find the slope of the tangent line.

Use rules to find derivatives.

Find the equation of the tangent line at a given point.

Compute the difference quotient.

Compute the limit.

Determine whether or not a function is continuous.

Use rules to differentiate.

Find first and second derivatives.

 

            Chapter 2:     

Describe graphs of functions.

Use the first and second derivative rules to make conclusions about functions.

Apply the first derivative test to local extreme points.

 

            Chapter 3:     

Use the product rule to find the derivative of a function.

                                    Use the quotient rule to find the derivative of a function.

                                    Find the derivative of a function using the chain rule.

                                    Find derivatives using implicit differentiation.

                                    Solve related rates problems.

 

            Chapter 4:     

Use the change of base formula for exponential functions.

                                    Use the change of base formula for logarithmic functions.

                                    Differentiate exponential functions.

                                    Solve first order linear differential equations.

                                    Convert between exponential and logarithmic notation.

                                    Differentiate logarithmic functions.

                                    Use logarithmic differentiation.

 

            Chapter 5:     

Solve exponential growth applications.

Solve problems where interest is compounded continuously.

 

            Chapter 6:     

Find antiderivatives of a function.

Use Riemann sums to approximate the area under the graph of a function.

Calculate the definite integral of a function by finding the area under the graph of the function.

Use the Fundamental Theorem of Calculus to calculate the definite integral of a function.

Use the definite integral to calculate the area between two curves.

Compute the average value of a function over an interval.

Evaluate an integral using the substitution method.

Evaluate an integral using integration by parts.

Evaluate improper integrals.

Determine the probability density function of the outcome of an experiment.

Use the probability density function to calculate probabilities.

 

Evaluation Procedures: Course grade will be based on a 600-point scale. 

 

                                                            Homework                              100 points

                                                            Quizzes                                   100 points 

Hour Exam 1                           100 points

                                                Hour Exam 2                           100 points

Final Exam                              200 points

                                                Total                                       600 points

 

Sample exams have a weight of zero, they have no impact on your grade.  Take the sample exams as many times as you would like at any time during the course to help you prepare for your exam.  Your actual exam will have the same types of problems as your sample exam.  Your grade will be calculated using your accumulated point total. The grade scale is:

 

                                                                                    A         540-600

                                                                                    B         480-539

                                                                                    C         400-479

                                                                                    D         300-399

                                                                                    F          < 300

 

Students near a cutoff may receive the higher grade at the discretion of the instructor.

 

ADA Statement:  If you have a documented disability and/or anticipate needing accommodations (e.g., non-standard note taking, test modifications) in this course, please arrange to meet with the instructor. Also, please contact Dakota State University’s ADA coordinator, Keith Bundy in the Student Development Office located in the Trojan Center Underground or at 256-5121, as soon as possible. The DSU website containing additional information, along with the form to request accommodations is http://www.departments.dsu.edu/disability_services/. You will need to provide documentation of your disability. The ADA coordinator must confirm the need for accommodations before officially authorizing them.  

Freedom in Learning Statement:  Students are responsible for learning the content of any course of study in which they are enrolled. Under Board of Regents and University policy, student academic performance shall be evaluated solely on an academic basis and students should be free to take reasoned exception to the data or views offered in any course of study.  It has always been the policy of Dakota State University to allow students to appeal the decisions of faculty, administrative, and staff members and the decisions of institutional committees.  Students who believe that an academic evaluation is unrelated to academic standards but is related instead to judgment of their personal opinion or conduct should contact the dean of the college which offers the class to initiate a review of the evaluation.

 

Course Outline (See MyMathLab Homework and Test pages for due dates):

 

Chapter 1 The Derivative

Chapter 2 Applications of the Derivative

Chapter 3 Techniques of Differentiation

Hour Exam 1  (Chapters 1-3, take the sample hour exam 1 as many times as you would like as practice)

 

Chapter 4 Logarithmic Functions

Chapter 5 Applications of exponential and logarithmic functions

Hour Exam 2  (Chapters 4+5, take the sample hour exam 2 as many times as you would like as practice)

 

Chapter 6 The Definite Integral

Chapter 7 Functions of Several Variables

Final Exam   (Chapters 1-6, take the sample final exam as many times as you would like as practice)

 

The final exam is composed of questions from chapters 1-6.  There are no quiz or exam questions from chapter 7.  Note: chapter 0 is a college algebra review and is not part of this course.