MA 242-005: Calculus III

When and Where: MTRF between 10.15-11.05 am in HA 228. We will also meet MTWRF between 10.15-11.05 am during problem sessions and test reviews.

My office hours: Kartik's office hours are MW between 11.30-12.30 pm or by appointment. To set up an appointment please send me an email in advance.

Course webpage: The official webpage for this course is located at http://courses.ncsu.edu/ma242/lec/005. It is your duty to check the webpage regularly for course announcements. I will also post course material, including handouts, homeworks, and exams here. The webpage should be up to date. However, please inform me about missing links, and necessary updates by sending me email.

Course prerequisites: MA 241 with grade of C or better.

Course objectives: This course is the third of three semesters in a calculus sequence for science and engineering majors. MA 242 is a course on "multivariable calculus" or "vector calculus" as I prefer to call it. Vector calculus is devoted to the study of functions whose domain and/or range is vector valued. Important concepts of the calculus of real valued functions such as limits, continuity, derivative, and integral (that we learnt in Calculus I and II) are expanded to such functions and their properties are studied. We will also study the integration theorems of Green, Gauss, and Stokes, which relate the concepts of derivative and integral for vector functions; these are like the "Fundamental Theorem of Calculus" for real valued functions of one variable (that we learnt in Calculus I and II). Finally, we will present simple examples from physics and engineering that illustrate the various concepts and results introduced in the course.

Course topics: The following topics will be covered in the course.

(1) Vectors and the Geometry of Space

(2) Vector Functions

(3) Partial Derivatives

(4) Multiple Integrals

(5) Vector Calculus

(6) Selected Applications from Physics and Engineering (time permitting!)
A detailed listing of course topics can be found in the course schedule.

WebAssign Homeworks: We will use WebAssign for the homework assignments. A WebAssign FAQ is available at http://www4.ncsu.edu/~jlgeorge/WAhowto. There are 5-6 WebAssign homeworks distributed throughout the semester. The deadline for these homework assignments will be posted on the course webpage. Each WebAssign homework is based on a chapter (block of sections) that we cover in class, and a typical deadline for an assignment is 2-3 days after we complete a chapter in class. The entire assignment will be posted when we begin a chapter, and it is in your best interest to start as early as possible. You must do the homeworks REGULARLY and ON TIME; this is the only way to master the material in the course! If you encounter any problems on the homework, you are welcome to send me email or see me during office hours. The homework deadlines are strictly enforced and late homeworks will not be accepted!

Maple Lab Homeworks: The Math department maintains a comprehensive Calculus with Maple webpage. It is the responsibility of each student to (1) download the Maple lessons from the Maple webpage (2) study the lessons, and (3) complete the homework assignments which are also available from the Maple webpage. There are 6 scheduled Maple Homework Assignments distributed throughout the semester. The "Start" and the "Due Dates" are listed on the Maple webpage and also on the course schedule. Late homeworks will not be accepted! Please note that there are NO FORMAL MAPLE LABS in the course. Students with no prior experience in MAPLE should read the "Introductory Materials" on the MAPLE webpage. Please contact me if you encounter any problems in the lab assignments.

Review problems: I will assign review problems from the book at the end of every class. You are encouraged to work through these problems with your classmates. While these problems are not graded, they supplement the WebAssign homeworks and also serve as excellent practice for the tests and the final exam.

Attendance policy: You are strongly encouraged to attend class and attendance in class will be taken daily. If you are late to class, it will be recorded as well, and two late arrivals will be counted as an absence. If you have 5 or fewer absences, I will replace your lowest test grade with your score on the final (if it improves your overall grade!)

Exams: There will be four IN CLASS tests (18th Sept, 9th Oct, 6th Nov, 1st Dec) during the semester and a comprehensive final exam. See the course schedule for more information on the tests. All tests are CLOSED BOOK exams. The final exam will be held in class on Friday, December 15th between 8-11 am. As you would expect, each exam has to be your own work. There are no MAKE UP tests! You will not miss an exam without a certified medical excuse or prior instructor approval. If you cannot make it to an exam, please let me know well in advance!.

Grading: Please make it a point to pick up your corrected tests and exams. The responsibilities for grading the exams resides with the TA. If you believe an error has been made in grading an exam, please bring it to the attention of the TA during his/her office hours. Only if you are not satisfied with the TA's decision, do you come and see me. Test and exam scores will be not be changed one week after they have been returned!

Calculation of course grade: A weighted average will be calculated as follows: Maple Lab Homeworks: 10 %, WebAssign Homeworks: 10 %, Tests (4): 60 %, and final exam: 20 %. Homeworks and tests are given the same weight. The grade scale is the following: 90-100 A-,A,A+; 80-89 B-,B,B+; 70-79 C-,C,C+; 60-69 D-,D,D+; below 60 F.

Textbook:

  James Stewart, Calculus: Concepts & Contexts, 3rd edition, Thomson Brooks/Cole, 2005.
This will serve as the required textbook for the course.
A link to the book at amazon.com.
The course textbook can be purchased from the campus bookstore. It is also available on reserve in the D.H. Hill library.

Academic Integrity: Please review the guidelines posted at the following website.

Students with disabilities: Please check the following website for more information.


Last Updated: 22nd-August-2006

Webmaster : Kartik Sivaramakrishnan
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