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.
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GRADING POLICY:
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GRADING SCALE:
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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:
| 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 |