Calculus IV
*

MA1024 D'14 Course Information

Sections & Times: D01 (8:00 am) & D02 (9:00 am) Place: SH 202




How to Succeed Homework Assignments N e w s Test Preview Mathematicians Biographies


I n s t r u c t o r :
Vadim V. Yakovlev
Office: SH 104C
Phone: x5495
E-mail: vadim@wpi.edu
Office hours:
Mon: 4-5 pm,
Thur: 4-5 pm,
Fri: 3-4 pm,
and by appointment
C o n f e r e n c e s:
D01: Fri, 12-12:50 pm, SH106
D02: Fri, 10-10:50 am, SH106





Course Information

Major Course Objective

In this course, you'll learn the basics of Multivariable Calculus: elements of geometry in space as well as differentiation and integration in n-space. By the end of the term, you will explore a number of crucial features of functions of more than one variable and be able to perform partial differentiation and multiple integration.

General Information

Text: Calculus. Early Transcendental Version by C.H. Edwards and D.E. Penney, 7th Edition, 2008.

Web Site: http://www.wpi.edu/~vadim/Calc_IV/D14_Info.html


Course Structure:
Main Topics:
  • The Derivative in n-Space (Partial Differentiation)
  • The Integral in n-Space (Multiple Integration)
Grading Scheme:
Maple Labs (15%, 6 x 2.5% each),
Quizzes (24%, 6 x 4% each),
Tests 1 & 2 (20% each),
Test 3 (21%)
Quizzes, labs, and tests will have their own 30, 100, and 100 point scores respectively. The perfect scores correspond to the presented percentages.

Point ranges derived to percents for grades are given by: A: 100% - 90%; B: 90% - 80%; C: 80% - 70%; NR: < 70%.

Conferences

Conference meetings held to facilitate your learning and help you with the course homework will be run under the guidance of the TA, Divya Moorjaney. She will be also responsible for three Test Preview Help Sessions (see Section Tests below) and hold office hours twice a week (Tue and Thur, 12-1 pm).

Computer Labs

The labs will be arranged to provide you with more knowledge about Maple and its use in the problems related to Multivariable Calculus. The course includes 6 meetings in the Computer Lab (SH 003) on Wednesdays at 12:00 noon (Section D01) and 4:00 pm (Section D02):

Math Instruments Lab 1: Surfaces
Lab 2: Partial Derivatives & Tangent Planes
Lab 3: Finding Global Extrema
Lab 4: Directional Derivatives and the Gradient
Lab 5: Double Integrals
Lab 6: Cylindrical and Spherical Coordinates

Each lab should be completed and turned in during the same lab period it is introduced. The work in the Lab will be done under the guidance of Jane Bouchard, the Instructor Assistant in this coruse.

Home Work & Quizzes
Practice problems will be given for each topic covered. The list of recommended problems can be found in the Homework Assignments section. Homework is not handed in, so each student should take a personal responsibility for doing sufficient study and practice.

To evaluate your work at home, six 15-minute quizzes will be offered throughout the course. The quiz problems will be chosen from the homework assignments made in a few preceding classes. The quizzes will be held in the beginning of the lecture meetings in accordance with the Schedule of Events.

Each quiz will ask for clearly presented complete solutions of a few selected homework problems. The solutions should include all main and intermediate steps reproduced in full math notation. As such, only a final result/answer put on the quiz paper will give you no credit for that problem.
Tests

Three Tests will cover approximately equal portions of the course. Each of the Tests is scheduled for a class following the lecture consideration of the related topics; therefore, the last test is not comprehensive.

The Tests will be open-book/open-notes events. Calculators are NOT allowed (unless they are required for numerical/approximate calculations).

Test
The Test Preview web page will give you a good understanding of the test contents: corresponding information, instructions, and sample problems will be posted there 2 days before the event. Special Test Preview Help Sessions will take place on the days preceding the Tests (see also Schedule of Events):
Test 1: Tue, Apr 1 <==> Test Preview: Mon, March 31, 4-5 pm, SH 202
Test 2: Fri, April 18 <=> Test Preview: Thur, April 17, 4-5 pm, SH 202
Test 3: Mon, May 5 <==> Test Preview: Sun, May 4, 4-5 pm, SH 202

Bonus Points and Other Policies

There will be opportunities to earn bonus points during this course. Each Test will include a bonus problem. Also, you may get bonus points for an excellent quiz at the instructor's discretion.

When solving your tests and working on your homework problems, remember that you are expected to SHOW ON PAPER ALL WORK. Therefore, a calculator used at home may serve only as a tool to check your solution rather than the mean to get it. Evaluations of mathematical expressions, derivatives, integrals, etc. obtained by using advanced calculators or Maple or MATLAB will not be accepted.

The so-called Special Problems will be offered (2 times) to solve on competition basis. Special Problem's Rules explain how these events will be arranged.

IMPORTANT: No make up will be given without a legitimate reason. That could be an illness or other unavoidable emergency which you can document.
Adaptations & Accommodations

If you need course adaptations or accommodations because of a disability, or if you have medical information to share with me that may impact your performance or participation in this course, please make an appointment with your instructor as soon as possible. If you have approved accommodations, please go to the Exam Proctoring Center (EPC) in Morgan Hall to pick up Letters of Accommodation.

Students with disabilities who need to utilize accommodations in this class are encouraged to contact the Office of Disability Services (ODS) to ensure that such accommodations are implemented in a timely fashion. This office can be contacted via email (DisabilityServices@wpi.edu), via phone (x4908), or in person (Daniels Hall, 137).
Academic Dishonesty
WPI's Academic Honesty policy, definitions and examples of academic dishonesty, and other info on the subject (including explanations of the steps that will be taken if students are suspected of violating the policy) can be found at http://www.wpi.edu/offices/policies/honesty/; each student is expected to familiarize him/herself with this info. All acts of fabrication, plagiarism, cheating, and facilitation will be prosecuted according to the university's policy. If you are ever unsure as to whether your intended actions are considered academically honest or not, please see your instructor.

Selected recommendations of your predecessors (students of my MA1024 sections in several previous academic years) provide you with explicit guidelines how to survive in this Calculus course.

Supplementary course materials: TBA


Syllabus & Schedule of Events

Week
1:
Partial Differentiation: Functions of several variables. Limits, continuity. Partial derivatives.
  • Lecture meetings: March 17, 18, 20, 21
  • Conference: March 21
  • Lab 1: March 19
Week
2:
Partial Differentiation (cont'd): Multivariable optimization. Linear approximations. Differentials. Chain Rule.
  • Lecture meetings: March 24, 25, 27, 28
  • Conference: March 28
  • Quiz 1: Mon, March 24
  • Lab 2: March 26
Week
3:
Partial Differentiation (cont'd): Directional derivatives and the gradient. Critical points.
  • Lecture meetings: March 31, April 3, 4
  • Conference: April 4
  • Quiz 2: Mon, March 31
  • Lab 3: April 2
  • Test Preview Help Session #1: Mon, March 31
  • TEST #1: Tue, April 1
Week
4:
Multiple Integration: Double integrals; iterated integrals. Double integrals over non-rectangular regions. Area and volume by double integration.
  • Lecture meetings: April 7, 8, 10, 11
  • Conference: April 11
  • Quiz 3: Tue, April 8
  • Lab 4: April 9
  • Special Problem #1: Tue-Wed, April 8-9
Week
5:
Multiple Integration (cont'd): Double integrals in polar coordinates. Applications of double integrals
  • Lecture meetings: April 14, 15, 17
  • Conference: April 18
  • Quiz 4: Mon, April 14
  • Lab 5: April 16
  • Test Preview Help Session #2: Thur, April 17
  • TEST #2: Fri, April 18
Week
6:
Multiple Integration (cont'd): Triple integrals. Integration in cylindrical coordinates.
  • Lecture meetings: April 22, 25, 28
  • Conference: April 25
  • Quiz 5: Fri, April 25
  • Lab 6: April 23
  • Special Problem #2: Tue-Wed, April 22-23
Week
7:
Multiple Integration (cont'd): Integration in spherical coordinates. Surface area.
  • Lecture meetings: April 29, May 1, 2
  • Conference: May 2
  • Quiz 6: May 1
  • Test Preview Help Session #3: Sun, May 4
  • TEST #3: Mon, May 5
NB: There is no class on Tue, May 6



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Last modified: Mon, March 31, 2014