Calculus IV
*

MA1024 B'16 B05Y

Lectures: Mon, Tue, Thur, Fri: 10:00 am, SL104

Conferences: Thur: 12:00 pm, SH309 (BC5A) & 9:00 am, SH306 (BC5B)




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
E-mail: vadim@wpi.edu
Phone: x5495
Office: SH104C
Teaching & Peer Learning Assistants:
Jiaxuan (Ben) Ye (TA) (BC5B)
E-mail: jye@wpi.edu
Office: SH204

Duc Tran (PLA) (BC5A)
E-mail: dhtran@wpi.edu
Office: SH002 (The Mathematics Tutoring Center)
Office hours:
Mon: 4:00-5:00 pm
Thu: 3:00-4:00 pm
and by appointment

Office hours:
Tue: 2:30-3:30 pm
Fri: 2:30-3:30 pm
and by appointment

Tue: 1:00-2:00 pm
Fri: 1:00-2:00 pm
and by appointment




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: G.B. Thomas, Jr., M.D. Weir, and J. Hass, Thomas' Calculus. Early Transcendentals, 13th Edition, 2014.

Web Site: http://www.wpi.edu/~vadim/Calc_IV/B16_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 (in 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 Jiaxuan (Ben) Ye and Duc Tran, the TA and PLA in this course. They will be also responsible for three Test Preview Help Sessions (see Section Examinations below). Conferences will be focused on solving problems associated with the main topics of the course material.

Computer Labs

The Lab Sessions will be organized in order to let you gain experience with Maple Computer Algebra System and its use in the problems related to Multivariable Calculus. The course includes six meetings in the Computer Lab (SH003) that will be focused on the following topics:

Math Instruments Lab 1: Surfaces
Lab 2: Partial Derivatives & the 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 - assigned problems will be listed in the Homework Assignments section. Homework is not handed in, so each student should take a personal responsibility for doing sufficient study and practice. Alternatively, to evaluate your course progress, 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.
IMPORTANT: a reproduction of only final answers in the quiz paper will result in no credit - we rather look for complete solutions including all steps and shown in full math notation.
Examinations

Three Tests will cover all main topics of the course. The Tests are scheduled for the days following the lecture consideration of the topics covered in several preceding classes; therefore, the last Test (No 3) is not comprehensive. No laptops, gadgets, tablets, calculators, smartphones, etc. are allowed in the Tests.

Test
The web Test Preview will give you clear ideas about Tests' contents: corresponding information, instructions, and sample problems will be posted there two days before the event. Special Test Preview Help Sessions will take place prior to each examination:
Test 1: Thur, Nov 10 <=> Test Preview: Wed, Nov 9, 3-4 pm, SH 106
Test 2: Tue, Nov 29 <==> Test Preview: Mon, Nov 28, 5:30-6:30 pm, SH 304
Test 3: Tue, Dec 13 <==> Test Preview: Mon, Dec 12, 5:30-6:30 pm, SH 304

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 working on your homework problems, remember that you are expected to show all work on paper in full notation. Calculators are not needed for that, though they may help to check the results. Evaluations of math expressions, derivatives, integrals, etc. obtained using calculators, computer algebra systems (Maple, MATLAB, etc.), or some web engines will not be accepted.
Laptops, gadgets, tablets, smartphones, etc. in the lecture meetings are consdiered a major distraction and thus have no use there.
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 request your accommodation letters online through the Office of Disability Services student portal.

Students with disabilities who need to utilize accommodations in this class are encouraged to contact the Office of Disability Services (ODS) as soon as possible to ensure that such accommodations are implemented in a timely fashion. This office can be contacted via email: DisabilityServices@wpi.edu, via phone: (508) 831-4908, or in person: Daniels Hall First Floor 124.
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 should 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, see your instructor.
Additional Resources and Help

The following resources are strongly recommended to be used for individual and/or group discussions aiming to assist in learning and understanding the meanings of the course's conceptual and practical issues:

Selected recommendations of your predecessors (i.e., students in my MA1024 courses taught in several previous academic years) provide you with explicit guidelines how to survive and be successful in this Calculus course.


Syllabus & Schedule of Events

Week
1:
Partial Derivatives: Functions of several variables (14.1). Limits, continuity, partial derivatives (14.2, 14.3).
  • Lecture meetings: Oct. 25, 27, 28, 31
  • Conference: Thur, Oct. 27
  • Lab 1: Oct. 31 - Nov. 1
Week
2:
Partial Derivatives (cont'd): Chain Rule (14.4). Directional derivatives and the gradient (14.5).
  • Lecture meetings: Nov. 1, 3, 4, 7
  • Conference: Thur, Nov. 3
  • Quiz 1: Tue, Nov. 1
  • Lab 2: Nov. 7 - 8
Week
3:
Partial Derivatives (cont'd): Linear approximations & differentials (14.6). Multivariable optimization (14.7).
  • Lecture meetings: Nov. 8, 11, 14
  • Conference: Thur, Nov. 10
  • Quiz 2: Tue, Nov. 8
  • Lab 3: Nov. 14 - 15
  • Test Preview Help Session #1: Wed, Nov. 9
  • TEST #1: Thur, Nov. 10
Week
4:
Multiple Integrals: Double integrals; iterated integrals, double integrals over non-rectangular regions (15.1, 15.2).
  • Lecture meetings: Nov. 15, 17, 18, 21
  • Conference: Thur, Nov. 17
  • Quiz 3: Thur, Nov. 17
  • Lab 4: Nov. 21 - 22
Week
5:
Multiple Integrals (cont'd): Area by double integration (15.3). Double integrals in polar coordinates (15.4).
  • Lecture meetings: Nov. 22, 28, Dec. 1
  • Conference: Thur, Dec. 1
  • Quiz 4: Tue, Nov. 22
  • Lab 5: Nov. 28 - 29
  • Test Preview Help Session #2: Mon, Nov. 28
  • TEST #2: Tue, Nov. 29
Week
6:
Multiple Integrals (cont'd): Triple integrals (15.5). Moments and centers of mass (15.6)
  • Lecture meetings: Dec. 2, 5, 6, 8
  • Conference: Thur, Dec. 8
  • Quiz 5: Mon, Dec. 5
  • Lab 6: Dec. 5 - 6
Week
7:
Multiple Integrals (cont'd): Integration in spherical coordinates (15.7). Change of variables (15.8)
  • Lecture meetings: Dec. 9, 12
  • Quiz 6: Fri, Dec. 9
  • Test Preview Help Session #3: Mon, Dec. 12
  • TEST #3: Tue, Dec. 13
NB: There is no class on Thur, Dec. 15


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


[WPI HomePage] [ Department of Mathematical Sciences ] [ Back to Vadim Yakovlev's Prof Page ] [ Back to Vadim Yakovlev's Calculus Page ]

vadim@wpi.edu
Last modified: Tue, Oct 25, 2016