Yi Wang

Ph.D., Professor/Department Chair

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MATH 1620: CALCULUS II, FALL 2012

Section BMW 5:00pm--6:40pm (Goodwyn 318),   Course ID (CRN #):  1546

 

INSTRUCTOR

Yi Wang, Ph.D., Associate Professor
Auburn University Montgomery

Department of Mathematics

School of Sciences

Room 213B, Goodwyn Hall

Email:  ywang2@aum.edu

Homepage: http://sciences.aum.edu/~ywang

Phone: 334.244.3318

Office Hours: MW:9:40am--10:40am, or by appointment.

           

 PREREQUISITES: MATH 1610 or an equivalent course.

 

TEXT: Calculus: Early Transcendental Functions, 5th Edition, by R. Larson and B. Edwards. ISBN-10: 0538735503  ISBN-13: 9780538735506.   

CALCULATORS:  All students are recommended to have a graphing calculator; the TI-84 (TI-83) is recommended. If you own some other graphing calculator, it is your responsibility to find out how to perform the required operations on it. Please bring the calculator to all class meetings and exams. You may use the calculator for each test, but you will be required to show all work for the tests and if you rely on the calculator for solutions, you will get zero credit. You are here to learn calculus and the calculator will be used only as an aid. A calculator with CAS is prohibited and using such a calculator will be considered as cheating and may jeopardize your student status.

 

COURSE DESCRIPTION:

MATH 1620 is a four contact hour introductory calculus course and the second part of a two semester sequence in single variable calculus.  The umbrella concept

 is that of limits of sums.

The first focus this term is going to be integral calculus. At the end of Calculus I the notions of antiderivative and the area problem were discussed. These seemingly unrelated topics then were related by the Fundamental Theorem of Calculus. You are responsible for that material; your instructor may choose to review it briefly at the beginning of the semester.

The second major topic this semester are series (limits of sums with increasingly many terms). The underlying concept that enables us to successfully investigate the existence of such limits is the one of relative rate of growth.

At the end of the semester a brief introduction to vectors and the geometry of space sets the stage for the study of multivariable calculus .

The course seeks to develop the knowledge and skills necessary for students to be able to reason with, apply, and relate concepts of accumulation and their symbolic, graphical numeric, and word representations. Students successfully completing the course should be able to leverage technology as a means for envisioning function behavior and gaining insights related to mathematical analysis. They should be able to use the concepts accumulation to solve applied problems. Finally, students should come to appreciate the relevance of mathematics in interdisciplinary problem solving. Concepts, ideas, and principles are emphasized throughout the course and form the basis of evaluation of student performance.

COURSE OBJECTIVES:

  • Know and understand the concepts underlying the integration of simple functions (e.g. approximating elements, limits of sums, graphical representation).

  • Know and be able to apply the Fundamental Theorem of Calculus.

  • Know and be able to apply basic rules and methods for integrating simple functions (e.g. substitution, integration by parts, partial fractions).

  • Know and be able to apply simple differential equations needed to study growth and decay.

  • Know and understand the definitions of sequence and series and be familiar with the basic types of series in particular power series, Taylor and Maclaurin series

  • Know and be able to apply basic convergence tests.

  • Be familiar with and able to apply the basic geometry of space and vector operations.

 

 This course will use Blackboard http://bb9.aum.edu. Syllabus, Class announcements, homework assignments, weekly schedule and updated grades will be posted on Blackboard. On-line quizzes within BlackBoard may be offered.  It is the students’ responsibility to check the information posted on BlackBoard . I will also post from time to time some studying resources such as old exams on BlackBoard .

 

HOMEWORK/QUIZZES/WORKSHEETS:  It is imperative that you do the homework. If you have trouble with the assigned problems (or any others in your book) then see me ASAP. Please work as many problems as you can (even beyond the assigned list if possible). The bottom line is that if you want to learn some mathematics, the only way to do this is by “getting your hands dirty” working problems.  The collected Homework/Quizzes/worksheets will be averaged for part of your overall grade. Sometimes in-class Quiz will be given without notice in advance.

 

LAST DAY TO  DROP/RESIGN CLASSES: Wed.,  Oct. 24, 2012.

 

EXAMS: There will be three in-class mid-term tests and one final.  The final exam is comprehensive.  Being absent from the Final Exam results in a grade of FA. You must prove to the instructor’s satisfaction that your absence was unavoidable, in order to take a makeup Final Exam.

 

GRADES: Here is a breakdown of the Homework/quizzes/worksheets/tests/final:

                                        Homework/Quiz/Worksheet Average….25% 

                                                     Test 1…………15%

                                                     Test 2…………15%

                                                     Test 3…………15%

                                                     Final………..…30%
   

 

            If you get the following percentage you will receive

                                                        >=90..................………A

                                                        >= 80 and <90………..B

                                                        >=70 and <80………...C

                                                        >=60 and <70….……..D

 

Grades in the course will reflect students’ demonstrated attainment of course objectives. I reserve the right to adjust these ranges downward or make appropriate scaling if necessary due to excessive difficulty of assignments or tests. Borderline cases will be considered according to the attendance, grades of all three mid-exams and the grade of the final by the discretion of the instructor.  

 

STUDYING RESOURCES:

  • There are 30 class meetings (each of 100 minutes), plus the final exam period .

  • FREE TUTORING HELP: Students can go to the Learning Center, 325 Moore Hall, 244-3470, for free tutoring help for this course by appointment.   Additional tutoring services are available in the Instructional Support Lab, 203 Goodwyn Hall, 244-3265.

  • Book Companion Website: Brooks/Cole Resource Center: http://www.cengagebrain.com/shop/ISBN/9780538735506?cid=APL1
                              

  • Homework Tools: Student solutions manual: ISBN-10: 0538739207 | ISBN-13: 9780538739207
                                  

  • Learning Tools:

    DVD, Calc: ET (ISBN-10: 0538736364 | ISBN-13: 9780538736367)
    Note Taking Guide, Calc: ET (ISBN-10: 0538736712 | ISBN-13: 9780538736718)
    This notebook organizer is designed to help students organize their notes and provide section-by-section summaries of key topics and other helpful study tools.

                                

SOME IMPORTANT POLICIES IN THIS CLASS: 

  1. ATTENDANCE is critical for this class. I will take attendance at every class.  I will take attendance at every class. However no grades will be given toward attendance. You must be present to take all exams.    Leaving the class earlier without the permission of the instructor is considered as an absence. The attendance record may be used as one of the factors to determine borderline grades. 

     
  2. There is absolutely no make-up for the homework/quizzes/worksheets. Late work passing the given deadline is not accepted.

  3. Missing test/exam: No make-up test/exam is allowed. A missing test/exam receives a grade of zero. No exam will be given earlier than the scheduled time. 

  4. The grade of the final can be  used to replace  the worst grade of the three mid-exams if it’s higher.

  5. A reasonable excuse commonly  refers to an institutional excuse, a doctor-signed excuse, or an excuse signed by some authorized people. 

  6. Exceptions only are made at the sole decision of the instructor.

HOW TO SUCCEED THIS COURSE?

In addition to my effort, your efforts are indispensable. 

(1) Except extreme cases, attending class only is far less sufficient to succeed (pass? ) the course. Let alone occasionally attending class.

(2)  To get a grade C, one is advised to spend at least 1 hour (depending on your background in mathematics) for each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing some homework problems.

(3) To get a grade B, one is advised to spend at least 1-2 hours for  each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing most of the  homework problems.

(4) To get a grade A, one is advised to spend at least 1-3 hours for  each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing almost all the  homework problems.

 

I would suggest you to write down your objective grade for this course, and commit your effort to this milestone of your life goal. Again, I wish you succeed.

My objective grade for this course is                         . I will commit         hours for each lecture hour to study the course materials. 

 

GUIDELINES OF HOW TO CALCULATE YOUR FINAL GRADE:

  1. The overall score is calculated according to the contributions from quizzes/homework/worksheet (15%), three mid-exams (15% each),  final(30%) and attendance (10%).
  2. All raw scores are converted to percentage to participate in calculating and comparison. The maximum percentage is 100% for any given quiz or exam.
  3. A quiz in this syllabus refers to an in-class quiz, an attendance-taken, a collected homework, or a collected worksheet.
  4. A missed quiz is scored as 0 for that quiz.   Finally, the average percentage of all the quizzes are calculated for the points of the quiz part. 
  5. The percentage of the final is used to replace the worst percentage of the three mid-exams if it’s higher.
The policy of this class is to encourage students who are diligent in this course and therefore any one who is serious about his/her study can take advantage of ONE opportunity to improve their grades.  

APPEALS: After final course grades have been submitted, you may appeal your final grade. As a first step, you would make a written appeal to the instructor of the course.

CLASS ATTENDANCE AND ENVIRONMENT: Perfect or near-perfect class attendance is important for students to gain and demonstrate competency in course concepts and skills. Students are expected to accept responsibility for class attendance and to complete in-class work assignments and examinations as scheduled by the instructor.

            Please be courteous to your fellow students and the instructor at all times. For example, do not converse with other students, read the newspaper, or sleep during the lecture. Do not pack up earlier than scheduled dismissing time.

Cell phones have to be set to silent (or preferably be turned off). If you have to answer a cell phone call during class, please quietly leave the classroom and move to a location where your conversation does not disrupt any class in progress.

Children should not be brought to class, except in emergency circumstances and only with the permission of the instructor.

Food, drinks, or gum should not be brought into the classroom.

AUM prohibits smoking in campus buildings. If you smoke, you may only do so outside the buildings.

PLAGIARISM: Plagiarism or cheating of any kind will not be tolerated. You can discuss solutions with classmates, but cannot copy (totally or partially) someone else’s solution or allow someone else to copy your solution. You will receive an ”F” in the course if you are caught.

DISCIPLINE AND ACADEMIC HONESTY. The policies of the Student Discipline Code apply. You are advised to familiarize yourself with these policies, which can be found in the current edition of the AUMANAC.  Please, adhere to the standards of academic integrity stated in the AUM Catalog.

SPECIAL SERVICES.
It is the policy of Auburn University Montgomery to accommodate individuals with disabilities pursuant to federal law and the University’s commitment to equal educational opportunities. It is the responsibility of the student to inform the instructor of any necessary accommodations at the beginning of the course. If you qualify for this service, please contact either the AUM’s Center for Disability Services (CDS) located in Library Tower, Room 706 (Phone: 334-244-3632, Fax:334-244-3907, TDD: 344-244-3754) or me for the corresponding referral.

COPYRIGHT NOTICE

Material presented in this course may be protected by copyright law.    

 

Disclaimer: The right of interpretation of this syllabus solely belongs to the instructor.

            

Weekly Schedule for Math 1620-Calculus II: FALL 2012

Office Hours: MW:9:40am--10:40am, or by appointment.
Note: This is only a guide as how the course should proceed. Changes might occur.

Homework:  You can complete the homework problems in the following order as explained below according to your own arrangement.

 1. Complete all odd-numbered questions.
 2. Complete all even-numbered quesitons.

Section with an asterisk (*) is optional.

Week 1

1. 8/13:  5.5
2.
8/15:  5.6
  • Homework: 

Week 2

3. 8/205.7, 5.8, 5.9
4.
8/22:  6.1, 6.2
  • Homework: 

Week 3

5. 8/27:  6.3, 6.4
6.
8/29:  6.5
  • Homework:

Week 4

    09/03:  Labor Day Holiday. 09/04: Student Holiday
7. 09/05:   Review for Exam 1
  • Homework:

Week 5
 

8. 09/10:   Exam 1
9.
09/12:  7.1, 7.2
  • Homework:

Week 6
 

10: 09/17:   7.3
11: 09/19:  7.4, 7.5, 7.6
  • Homework: 

Week 7

12. 09/24:  8.1, 8.2
13:
09/26:  8.3, 8.4
  • Homework:

Week 8

14. 10/01:  8.5
15:
10/03:  8.6, 8.7
  • Homework:

Week 9
 

16: 10/08:  8.8
17:
10/10:  Review for Exam 2
  • Homework:

Week 10

18. 10/15:  Exam 2
19.
10/17:  9.1, 9.2
  • Homework: 

Week 11

20: 10/22:  9.3, 9.4
21: 10/24:  9.5, 9.6
       Homework: 
 Last day to drop/resign classes: Wed., 10/24
 

Week 12

22: 10/29:  9.7, 9.8
23:
10/31:  9.9, 9.10
  • Homework: 

Week 13

24.  11/05:  10.1, 10.2, 10.3
25.
11/07:  10.4
  • Homework:

Week 14

26: 11/12:  10.5, 10.6
27:
11/14:  11.1, 11.2, 11.3
  • Homework:

Week 15

        11/19--11/23: Thanksgiving  break, no classes.

Week 16

28: 11/26:   11.4
29: 11/28 Review for Exam 3
       Homework:

Week 17
Test 3

30: 12/03:  Exam 3
  • Last day of class:  Mon., 12/03, 2012 for Monday/Wednesday classes.                            
    Tuesday, Dec 04  for Tuesday/Thursday classes.
  • Final week begins on Thursday

Week 18

  • Final week
  • Final Exam time: Monday, Dec. 10, 2012, at 5:00--7:30pm
  • GOOD LUCK ON THE FINAL AND HAVE A GREAT WINTER BREAK!!!

Last updated: 08/13/2012