Calculus III
Math by Breugel

MA1023 C'12 Course Information

Sections C01 (8:00 am) & C04 (10:00 am), SH202



How to Succeed Homework Assignments Special Problem's Rules News Test Preview Mathematicians Biographies


I n s t r u c t o r :
Vadim V. Yakovlev
Office: SH104C
Phone: x5495
E-mail: vadim@wpi.edu
Office hours:
Mon: 4:00-4:50 pm;
Thu: 2:00-2:50 pm;
Fri: 2:00-2:50 pm;
and by appointment
C o n f e r e n c e:
C01: Fri, SH309, 12:00-12:50 pm;
C04: Mon, SH309, 12:00-12:50 pm




Course Information


Major Course Objective

In this course, you will learn the basics of many diverse elements of Calculus: indeterminate forms, infinite sequences and series, polar coordinates, vectors, etc. By the end of the term, you'll be able to perform vector operations, integrate functions in polar coordinates, manipulate with improper integrals, Taylor series and polynomials, lines & planes in space.


General Information

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

Web Site: http://www.wpi.edu/~vadim/Calc_III/C12_Info.html


Course Structure:
Main Topics:
  • Indeterminate Forms & Improper Integrals
  • Polar Coordinates & Parametric Curves
  • Infinite Sequences & Infinite Series
  • Vectors; Lines, Planes & Curves in Space
Grading Scheme:
Maple Labs (15%, 5 x 3% each),
Quizzes (25%, 5 x 5% each),
Tests 1-3 (60%, 3 x 20% each).
Quizzes, labs, and tests 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 (see the dates in the Schedule of Events) will be held to facilitate your learning and help you with homework. The conferences will be run under the guidance of the TA Marisa Zemsky (C01) and the PLA Jackson DeWeese (C04). They will also hold office hours twice a week - the details will be given at the first conference.

Computer Labs

The labs will be arranged to provide you with more knowledge about Maple Computer Algebra System and its use in the problems related to the course subjects. There will be 5 meetings in the Computer Lab (SH003) on Wednesdays (C01) and Thursdays (C04); for more info, see Schedule of Events below.

Math Instruments Lab 1: Improper Integrals
Lab 2: Polar Coordinates
Lab 3: Sequences and Series
Lab 4: Taylor Polynomials
Lab 5: Plane Curves

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 Maple Instructor Assistants on this course.

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.

Alternatively, to evaluate your course progress, five 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.

Be aware of the helpful fact: answers to all even number problems in the homework assignments will appear on in the News section prior to each quiz (in the end of the day before the event). However, a reproduction of only an answer in the quiz paper will give you no credit - we rather look for complete solutions which include intermediate steps and are shown in full math notation.
Tests

Three Tests cover approximately equal portions of the course. Each Test is scheduled for a class following the lecture consideration of the topics covered in several preceding classes; therefore, the last Test is not comprehensive.

All three Tests are open-book / open-notes / closed-solution-manual events. Calculators are NOT allowed (unless they are required for numerical/approximate calculations - you will be instructed accordingly prior to each Test).

Test
The web Test Preview will give you clear ideas about the test contents; corresponding information, instructions, and sample problems will be posted there two days before the event. Special Test Preview Help Sessions (run by the TA) will take place prior to each Test (see also the Schedule of Events):
Test No 1: Tue, Jan 31:
Test Preview: Mon, Jan 30 - C01: 5:00 pm (SH106); C04: 5.00 pm (SH202)
Test No 2: Fri, Feb 17:
Test Preview: Thur, Feb 16 - C01: 4:00 pm (SH106); C04: 4:00 pm (SH202)
Test No 3: Thur, March 1:
Test Preview: Wed, Feb 29 - C01: 4:00 pm (SH106); C04: 5:00 pm (SH202)

Bonus Points and Other Policies

There will be opportunities to earn bonus points. Each Test will include a bonus problem. Also, you may get bonus points for your excellent work in the quizzes at the instructor's discretion.

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

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

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, the related arrangements should done as soon as possible.

Those students who believe that they may need accommodations in this class but don't have appropriate documentations, are encouraged to contact the Disability Services Office (DSO). The DSO is located in the Student Development and Counseling Center, (508) 831-4908, dso@wpi.edu.
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/
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.


Recommendations of your predecessors (students in my MA1023 courses taught earlier) provide you with explicit guidelines how to survive in this course.


Syllabus & Schedule of Events

Week
1:
Indeterminate Forms & Improper Integrals: Indeterminate forms (4.8, 4.9). L'Hopital's Rule (4.8). Improper integrals (7.8).
  • Lecture meetings: Jan 12, 13, 17, 19
  • Conferences: Jan 13 (C01)
  • Lab 1: Jan 18 (C01) & 19 (C04)
Week
2:
Polar Coordinates & Parametric Curves: Polar coordinates (9.2). Area in polar coordinates (9.3). Parametric curves (9.4). Integral computation with parametric curves (9.5)
  • Lecture meetings: Jan 20, 23, 24, 26
  • Conferences: Jan 20 (C01) & 23 (C04)
  • Lab 2: Jan 25 (C01) & Jan 26 (C04)
  • Quiz 1: Fri, Jan 20
  • Special Problem #1: Jan 24-25
Week
3:
Sequences & Series: Inifinite sequences (10.2). Infinite series (10.3). Concept of convergence (10.3).
  • Lecture meetings: Jan 27, 30, Feb 2
  • Conferences: Jan 27 (C01) & 30 (C04)
  • Lab 3: Feb 1 (C01) & 2 (C04)
  • Quiz 2: Fri, Jan 27
  • Test Preview: Mon, Jan 30
  • Test #1 (covers topics of Sections 4, 7, 9): Tue, Jan 31
Week
4:
Sequences & Series (cont'd): Taylor series & Taylor polynomials (10.4). Convergence tests: the Integral Test, Comparison Tests (10.5, 10.6).
  • Lecture meetings: Feb 3, 6, 7, 9
  • Conferences: Feb 3 (C01) & 6 (C04)
  • Lab 4: Feb 8 (C01) & 9 (C04)
  • Quiz 3: Tue, Feb 7
  • Special Problem #2: Feb 7-8
Week
5:
Sequences & Series (cont'd): Alternating series (10.7). Power series (10.8). Power series computations (10.9).
  • Lecture meetings: Feb 10, 13, 14
  • Conferences: Feb 10, 17 (C01) & 13 (C04)
  • Quiz 4: Tue, Feb 14
  • Test Preview: Thur, Feb 16
  • Test #2 (covers topics of Section 10):
    Fri, Feb 17
Week
6:
Vectors, Lines, Planes, Curves: Vectors in the plane (11.1) and in space (11.2). Cross product (11.3).
  • Lecture meetings: Feb 20, 21, 23, 24
  • Conferences: Feb 20 (C04) & 24 (C01)
  • Lab 5: Feb 22 (C01) & 23 (C04)
Week
7:
Vectors, Lines, Planes, Curves (cont'd): Lines and planes in space (11.4). Curves in space; motion, acceleration, curvature (11.5. 11.6)
  • Lecture meetings: Feb 27, 28
  • Conferences: Feb 27 (C04)
  • Quiz 5: Mon, Feb 27
  • Test Preview: Wed, Feb 29
  • Test #3 (covers topics of Section 11):
    Thur, March 1
NB: No class & conference on Fri, March 2



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Last modified: Wed, Jan 11, 2012