AMTH 142  CALCULUS II  (4 Cr)         SPRING 2006           

Instructor     David Jaspers   237E ADMN

Class hours      MW 6:00-8:40 ADMN 213

Telephone        641-3525(off)  663-4721 (home)

E-mail              davidj@usca.edu or djaspers@yahoo.com

Web                 www.usca.edu/math/%7Emathdept/dgj/

Office Hours   MW 2:00-4:00, T/TH 10:00-12:00, F 1:00-3:00, or by appointment

 

Prerequisite: Grade of C or better in AMTH 141 or consent of the department.

 

Text: AMTH 142 Course Packet from USCA Bookstore: CALCULUS & MATHEMATICA by Davis, Porta, Uhl. INTEGRALS 2.03-2.06, APPROXIMATIONS 3.01-3.06 and CALCULUS & MATHEMATICA CD. Optional Software: MATHEMATICA Ver. 4.0

 

Topics covered:

2.03 Applications of integration                                    3.02 Expansions in powers of x

2.04 Transformation of integrals                                  3.03 Applications of expansions

2.05 The Gauss-Green Theorem                         3.04 Taylor’s Formula

2.06 Separable differential equations and                    3.05 “Barriers” to convergence

        integration by parts                                              3.06 Power Series

3.01 Splines

 

Course Description Integration including change of variable and integration by parts; applications to area and volume. Infinite series including power series, Taylor’s formula, and approximations.

 

Course Objectives At the end of this course, the successful student will:

·         understand and be able to apply the concepts of calculus outlined above

·         understand and be able to apply numerical computational and estimation techniques

·         understand and be able to apply the process of measurement

·         be able to use geometric concepts and relationships to describe and model mathematical ideas

·         be able to formulate and solve problems from both mathematical and everyday situations, and in the process connect mathematics to other disciplines

·         be able to communicate mathematical ideas in writing, using everyday and mathematical language, including symbols

 

Homework Homework assignments account for 40% of your grade, as follows:

·         20% written exercises from the “Literacy Sheets” at the back of the book. These problems will be worked and turned in individually. Specific problems will be assigned roughly once a week and are due about a week later.

·         20% computer assignments done using Mathematica from the "Give it a Try" sec­tions of the Text.  These assignments will be done in the teams described below.

 

Teamwork For computer assignments, the class will be divided into two- (or three-) person teams. Generally each team member gets the same homework grade but it is possible that a team member that does not contribute their fair share of the work may get a lower grade.

 

Style Turn in your assignment through email or using the USCA LAN, as explained by the instructor. The format for your work is the Mathematica Notebook in a style similar to the Textbook.  Each notebook should begin with the names of the team members.  Group problems into individual cells and do not include Mathematica output, which I can easily produce.  That is, keep your notebooks as compact as possible.

 

Help You may seek help from other students but you must acknowledge this help in a credit box.  No homework will be read without a completed credit box.  And if you help someone, point them in the right direction but don't do their work for them. 

 

Tests You must demonstrate literate knowledge of the basic concepts of the calculus covered in this course. These tests will be "paper and pencil" tests, no computer help will be possible.  There will be four literacy tests given throughout the Semester.  Each test has questions based upon the conceptual ques­tions on the literacy sheets in your text and based upon the material in the basics and tutorial sections.  Each test counts for 10% of your grade for a total of 40% of your grade. The literacy tests will be given roughly after every other chapter, and will be approximately 50 minutes in length. IMPORTANT!  Make up exams will only be given in cases of illness or other written excuse. If you must miss a scheduled exam, contact me as soon as possible after the exam to arrange a make up. Exams not made up within one week of the regular test will be recorded as 0’s.

 

Final Exam A final examination for 20% of the total grade.  The final exam will be comprehensive, about one-fourth on material since exam four, and three-fourths old material. There are no exemptions from the Final Exam. Your grade on the Final Exam will replace your lowest test score (if it helps your grade). You must take all 4 semester exams to qualify.  Note: A low score on the Final can hurt your grade!  The Final Exam is scheduled for Wednesday, May 3 at 5:00 p.m.

 

Grading Scale  90-100    A        70-74   C

                          85-89    B+      65-69   D+

                          80-84    B        60-64   D

                          75-79    C+        0-59   F

 

Academic Integrity: Please read and review the Academic Code of Conduct relating to Academic Integrity located in the 2005-06 Student Handbook, page 18.  If you are found to be in violation of this Code of Integrity, a grade of F (0) may be given for the work. Additionally, a grade of F may be assigned for the course and/or further sanctions may be pursued.           

 


Attendance Policy: I may occasionally take attendance. It is highly recommended that the student not miss any class. However, the Attendance Policy established by the Department of Mathematical Sciences states that the maximum number of unexcused absences allowed in this class before a penalty is imposed is four.  Please refer to the 2005-2006 Bulletin, page 36, for further information.

 

Cell Phones/Pagers:  As a courtesy to the class, cell phones and pagers should be placed in such a mode that they will not disturb the class.  Under no circumstances are calls to be placed or taken in the classroom.  Students who are on call as a condition of their employment or other circumstance will leave the classroom to receive a call.

 

Students with Disabilities: If you have a physical, psychological, and/or learning disability which might affect your performance in this class, please contact the Office of Disability Services, 126A B&E, (803) 641-3609, as soon as possible.  The Disability Services Office will determine appropriate accommodations based on medical documentation. If you are registered with Disability Services and have an accommodation sheet, please see me after the first class or phone me (803-641-3525) the first day to set up an appointment as soon as possible

 

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My door is always open; if you are ever having problems with your homework, if you feel like you're behind and there's no way to catch up, of if for any other reason you just want to drop by, feel free - I'm here to help!

 


TENTATIVE SCHEDULE:

 

WEEK 1

Jan 9-11

2.02 Review, 2.03

 

WEEK 2

Jan 18

2.03

 

WEEK 3

Jan 23-25

2.03, 2.04

 

WEEK 4

Jan 30-Feb 1

2.04, 2.05

 

WEEK 5

Feb 6-8

T1;  2.05

 

WEEK 6

Feb 13-15

2.06

 

WEEK 7

Feb 20-22

2.06; 3.01

 

WEEK 8

Feb 27-Mar 1

T2; 3.01

Friday, March 3 – last day to drop without receiving WF.

 

Mar 6-8

OFF

 

WEEK 9

Mar 13-15

3.02

 

WEEK 10

Mar 20-22

3.02, 3.03

 

WEEK 11

Mar 27-29

3.03; T3

 

WEEK 12

Apr 3-5

3.04

 

WEEK 13

Apr 10-12

3.04; 3.05

 

WEEK 14

Apr 17-19

3.05; 3.06; T4

 

WEEK 15

Apr 24

3.06

 

 

Wed May 3

Final Exam (5:00 p.m.)