AMTH A 141 Calculus I Spring 2012 (4 credit hours)

Instructor: Yilian Zhang
Telephone: 641-3796 Email: YilianZ@usca.edu Meeting Time: MWF 8:00am-9:30am, ADMN 213
Course Website: http://www.usca.edu/yilianz/AMTH141/AMTH141Home.htm
                                 *** All course information is in K:\Zhang\AMTH141r***
Office Hour: MW 12:00pm-1:00pm,TTh 10:00am-12:00pm, ADMN230

COURSE DESCRIPTION: AMTH 141 is an introduction to differential calculus, which presents a mathematical way to describe change and motion.

PREREQUISITES:  Grade of  C or better in AMTH 111 and AMTH 112, or placement above AMTH 111 and 112.

TEXTS:

COURSE OBJECTIVES:

COURSE ORGANIZATION & TOPICS TO BE COVERED: This course is not a traditional mathematical course. Each lecture will be divided into two sections: the instructor's lecture, and the student's exploration and discussion.
Topics include limit, continuity, derivative, applications of the derivative,  integrals, fundamental theorem of calculus. 

GRADING POLICY:

  • Three major tests: 30%
  • Homework : Written exercises, short quizzes and Lab 35%
  • Cumulative Final Exam: 30%
  • Class Participation: 5%

GRADING SCALE:

  • 90-100 A, 87-89 B+
  • 80-86 B, 75-79 C+
  • 68-74 C, 65-67 D+
  • 60-64 D, 0-59 F


Homework: Most of written exercises are from text book. These problems must be worked and turned in indivdually. You should use clear and coherent argument and correct mathematical notation and terminology to write your homework.
Lab assignments will be done in team. The class will be divided into two-person teams ( at most one three-person team if we have to). Generally each team member will get same grade, but it is possible that a team member who does not do his work may get a lower grade. Suggestion: It is highly recommended that all team members do the homework together.
Short homework quizzes will be given.
Special requirement for Lab assignments: Assignment is submitted in a Maple notebook style. You could put homework into K:\Zhang\AMTH141\TurnInYourLabHere or send it to me via email(not recommended).

Late Homework Policy: No late lab assignment will be accepted.  Each student has one-week extension on written homework throughout the semester. No late work will be accepted after you use out your one-week extension.

Major tests: There will be three literacy tests given throughout the semester. The written part of each test will be approximately 60 minutes in length. Use of Maple and calculator is not allowed in the written part of the test. The computer part of each test will be approximately 30 minutes in length. Please check the tentative schedule for test dates. NO MAKE-UP on tests will be given. If you miss the test and present a valid excuse within one week after the test date, final exam grade will replace that test grade.  Final exam grade  might also be used by other students to replace the lowest test grade if needed.

FINAL EXAM: Final exam is on Monday, April 30  from 8:00AM-11:00AM, in the same room the class has met all semester. The final exam is a cumulative exam and will cover all of the material covered in class. You can not pass the course without taking the final exam.

NOTES:

  1. Help: Please feel free to contact me if you need help. You can also visit Math Lab  where there are tutors available to assist you. Work Hard, You will Succeed!
  2. Attendance Policy: Class attendance is required. It is highly recommended that you do not miss any class. You cannot readily make up the material missed if you are absent. More than 4 unexcused absences may result in a grade of F for the course. Excused absences will be granted for documented incapacitating illness, official representation of the University, death of a close relative, religious holidays, jury duty, or subpoena to appear in court.  Arriving late or leaving early will count as 1/2 absence.
  3. Special Circumstance: 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.
  4. Academic Honesty: Please read and review the Academic Code of Conduct relating to Academic Integrity located in USC Aiken Student Handbook, 2011-2012, pages 29-33. If you are found to be in violation of academic 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. Information can also be found on http://web.usca.edu/dotAsset/57575.pdf .
  5. 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.

Tentative Schedule:


Date Topics Reading
01/09          Week 1 Introduction, Precalculus Review Syllabus
01/11          Week 1 Function and Graph 1.1-1.2
01/13          Week 1 Combining Functions 1.2
01/16          Week2 Martin Luther King, Jr., Day---No Class
01/18          Week2 Trigonometric Function 1.3
01/20          Week 2 Exponential Function and Logarithm
1.4-1.6
01/23          Week 3 Limit of a function and laws 2.2
01/25          Week 3 One sided limit and Continuous
2.4-2.5
01/27          Week 3 Infinity limit 2.6
01/30          Week 4 Rate of change 2.1,3.4
02/01         Week 4 Tangent line and derivative 3.1
02/03         Week 4 Derivative as a function 3.2
02/06         Week 5 Rules of differentiation 3.3
02/08         Week 5 Rules of differentiation 3.3, Review
02/10          Week 5    Test I
Test I

02/13          Week 6 Rules of differentiation 3.3
02/15          Week 6 Derivative of basic function 3.3
02/17          Week 6 Derivative of trigonometric function 3.5
02/20          Week 7 Chain Rule 3.5
02/22          Week 7 Chain Rule 3.6
02/24          Week 7 Implicit differentiation 3.7
02/27          Week 8 Inverse Function 1.6, 3.8
02/29          Week 8 Higher Derivatives
03/02          Week 8 (Last day withdraw) Linearization and differentials
3.11
03/05-03/09          Week 9
Spring Break---No Class
03/12          Week 10 Extreme Value 4.1
03/14          Week 10 Derivative and Graphing 4.3
03/16          Week 10   
Derivative and Graphing 4.4
03/19          Week 11 Maxima and Minima 4.1
03/21          Week 11 Maxima and Minima, Review 4.1
03/23          Week 11 Test II

03/26          Week 12 Applied Maxima and Minima problems 4.6
03/28          Week 12 Applied Maxima and Minima problems 4.6
03/30          Week 12 L'Hopital's Rule 4.5
04/02          Week 13 Antidifferentiation and application 4.8
04/04          Week 13 Antidifferentiation and application 4.8
04/06          Week 13 Introduction to Integration 5.1-5.2
04/09           Week 14  Introduction to Integration 5.3
04/11           Week 14 The Fundamental Theorem of Calculus 5.4
04/13           Week 14 Substitution rule
5.5
04/16           Week 15     Substitution rule 5.5
04/18          Week 15   Area between curves, review 5.6
04/20           Week 15 Test III

04/23           Week 16  Review
Review
04/30   Final 8:00-11:00am