# Syllabus

Class: MATH 1342 Calculus 2 for Science and Engineering, Spring 2014.

CRN: 30681

Instructor: Ivan Zaigralin.

Email: Go to http://melikamp.com/mew.php and type "show email".

Class Meetings: Mon, Wed, Thu 1:35pm-2:40pm in Forsyth Building 151.

Office Hours: Mon, Wed, Thu 12:00pm-1:00pm in Nightingale Hall 540A.

Text:
Worldwide Integral Calculus with infinite
series by David B. Massey and
Worldwide Multivariable Calculus by
David B. Massey. Both texts are required. PDF and printed
versions available at:

http://www.centerofmathematics.com/wwcomstore/index.php

The PDF textbooks contain a link, at the beginning of each section, to one or more free video lectures by Prof. Massey, on the contents of that section. The PDFs have hyperlinked Tables of Contents, Indices, and cross-references; you may need to activate the Forward and Back buttons in your PDF viewer to take full advantage of the hyperlinks.

The PDF textbook is $9.95. A paperback, printed, bound, gray-scale (no color) textbook can be ordered online for $29.99.

It is absolutely NOT required that you purchase a printed textbook.

Tests and Quizzes: We will have quizzes on Thursdays every week. Ordinarily there will be no make-up quizzes; instead, I will drop the two lowest quiz scores. There may be exceptions to this policy for students due to their religious observances or their participation in university-sponsored activities. Students should confer with me about such circumstances as far in advance as possible.

We will have two 65-minute tests during the semester: one on February 10 and the second on March 24 (these dates are tentative). In the rare event that a student misses one of these tests due to a university-sanctioned absence or religious observances, the final exam score will be counted in place of the test that was missed. The two hour, common, commonly graded, final exam will count as 40% of your grade in this course. You must take the final exam during the time it is scheduled unless you have a registrar-created conflict. The final will be given between April 17 and April 25. Do not make travel plans that conflict with the exam. There is no make-up for the final.

Homework: Homework will be assigned daily, but will not be collected. It is essential that you do all the homework. We will not be able to go over all homework problems in class, and even those that we do go over may not get worked out completely. Therefore, if you have a lot of questions on the homework, I strongly encourage you to come to see me during my office hours or make special appointments. It is very helpful to work on the homework in groups.

No Make-ups: There will be no make-ups for any of the class assignments: quizzes, tests, final. The only exceptions are provided by the University policy.

Snow Days: If classes are canceled due to snow, or for other official reasons, any scheduled quiz or exam will occur on the next class meeting.

Technology: All computers should be completely silent during all class meetings; this includes laptops, tablets, and cell phones. Students may use any form of computer technology to aid them during the lectures. During quizzes, tests, and the final only calculators are allowed. Graphing calculators are OK, but students are required to show all relevant work in order to receive credit.

Grading: The course grade will be
determined as follows:

Final Exam: 40%

Tests: 30% (15% each)

Quizzes: 25% (The two lowest quiz grades will be dropped).

Class Participation: 5%

You will be graded on the following scale:

Total Average | Grade for Course |
---|---|

93-100 | A |

90-92 | A- |

87-89 | B+ |

83-86 | B |

80-82 | B- |

77-79 | C+ |

73-76 | C |

70-72 | C- |

67-69 | D+ |

63-66 | D |

60-62 | D- |

0-59 | F |

As a matter of Math Department policy, the "I" grade (incomplete) will be given only rarely. It is intended to cover real emergency situations in which a student who is doing reasonably well ("C-" or better) is unable, due to circumstances beyond the student's control, to complete all course requirements (for example, is unable to take the final exam due to hospitalization). An "I" grade may not be used to rescue a failing grade, or to postpone the final.

Attendance: You are expected in class each day. If you are unable to come to a class for some reason, then (if possible) please send an e-mail to let me know. Attendance counts as part of your class participation grade.

Travel Plans: It is NOT possible to change the scheduled time for the final exam. So, do not make your travel plans to conflict with the final exam schedule.

Additional Resources: The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. Tutoring should begin there two weeks after the start of classes. The tentative schedule is 10am-8pm on Mondays, Tuesdays, and Wednesdays; 10am-6pm on Thursdays; and 10am-1pm on Fridays. This is walk-in tutoring; no appointment is necessary. If there is a discrepancy between how the tutors present material and how your instructor presents material, you should follow your instructor's presentation, but you should discuss the matter with your instructor.

The PDF textbook contains links at the beginning of each section to online full-length, free, video lectures on the contents of that section. These videos can also be accessed by going to http://www.centerofmath.org. In addition, there are video solution links for select exercises. If there is a discrepancy between how the videos present material and how your instructor presents material, you should follow your instructor's presentation, but you should discuss the matter with your instructor.

Issues with The Course/Instructor: If you have issues with this course and/or instructor which you are not comfortable discussing with your instructor, you should contact the course coordinator, Prof. Donald King, d.king@neu.edu. If you are not satisfied with his response, you should contact Prof. David Massey, d.massey@neu.edu.

Academic Honesty: The university
views academic dishonesty as one of the most serious offenses that
a student can commit while in college and imposes appropriate
sanctions on violations. Cheating on a quiz or exam will not be
tolerated. All incidents of cheating will be reported to the
Office of Judicial Affairs. The University's policy on cheating
and related disciplinary actions are detailed in the Student
Handbook and at the following web site:

http://www.northeastern.edu/osccr/academicintegrity/

Note The Following Dates:

Monday, January 6: Classes begin

Monday, January 20: MLK Day, no classes

Monday, January 27: Last day to drop a class without a "W" grade

Tuesday, January 28: Last day to file a Final Exam conflict form

Monday, February 17: Presidents' Day, no classes

March 1 - March 9: Spring Break, no classes

Tuesday, April 1: Last day to drop a class with a "W" grade

Tuesday, April 15: Last day of classes

Wednesday, April 16: Reading Day

April 17-25: Final Exam Period

Monday, April 21: Patriots' Day, no exams or classes

These and other important dates may be referenced in the official
University calendar:

http://www.northeastern.edu/registrar/cal1314-ugd-exp-m.pdf

Evaluations: At the end of the semester, every student is expected to complete the online TRACE survey evaluations of the course.

Tentative Lesson Plan:

Section | Topic | Exercises |
---|---|---|

1.1 | Review of anti-derivatives | 2, 3, 5, 7, 9, 11, 15, 19, 23, 26 |

1.1 | Integration by Parts | 32, 33, 34, 36, 37, 39, 41 |

1.3 | Integration by Partial Fractions | 1, 3, 7, 9, 11-14 |

2.1-2.4 | Review of Definite Integrals | None |

2.5 | Improper Integrals | 1, 4, 5, 9-11 |

3.1 | Displacement and Distance Traveled | 1, 2, 10, 11, 19, 26, 32, 45, 46 |

3.3 | Distance Traveled in Space and Arc Length | 1, 3, 19, 21, 24, 44 |

3.4 | Area Swept Out and Polar Coordinates | 1-3, 7, 9, 13, 14 |

3.5 | Volume | 1, 2, 8-11, 13, 28, 29, 39, 48, 51 |

3.7 | Mass and Density | 7, 15, 18, 25, 27 |

3.8 | Centers of Mass and Moments | 7, 8, 15, 16, 21 |

3.9 | Work and Energy | 1, 3, 5, 13, 23, 25, 29, 39, 42 |

Monday, February 10: First Hour Exam | ||

4.1 | Approximating Polynomials | 1-3, 7-11, 15, 16, 20 |

4.2 | Approximation of Functions by Polynomials | 1-3, 6, 9, 11, 16, 19-21, 23, 32 |

4.3 | Error in Approximation by Polynomials | 1(a,b), 2(a,b), 5(a,b) |

4.4 | Functions as Power Series | 1-3, 5, 7, 11, 13, 15 |

Switch Texts | ||

1.1 | Euclidean space | 1, 4-8 |

1.2 | Vector Space | 1, 3, 5, 7, 9, 10, 13-16, 19-21, 23, 24, 27, 29, 33, 36, 41-43 |

1.3 | Dot Product, Angles and Orthogonal Projections | 1-4, 9-12, 17-19, 22, 23, 27-30, 32-35, 45-48 |

1.4 | Lines and Planes | 1-4, 9-17, 19, 21-23, 27-30 |

1.5 | Cross Products | 1-4, 9-12, 17-20, 27-29, 31 |

1.6 | Functions of a Single Variable | 1, 4, 5, 7, 9, 10, 18, 19, 21-25 |

1.8 | Graphing Surfaces | None |

Monday, March 24: Second Hour Exam | ||

2.1 | Partial Derivatives | 1, 2, 5, 7, 16, 18, 19, 22, 25, 27, 30, 34 |

2.2 | Total Derivatives | 1, 3, 7, 8, 11, 12, 15 |

2.3 | Linear Approximations, Tangent Planes | 1, 2, 7, 8, 11, 13, 18 |

2.4 | Differentiation Rules | 1-4, 19, 20, 23, 25, 27, 31 |

2.5 | Directional Derivatives | 1-3, 7-9, 15-17, 21-23, 29-31 |

Review and Cumulative Departmental Final Exam |