Syllabus
MATH 1341-04 Calculus I for Science & Engineering
Fall 2016
Northeastern University
INSTRUCTOR:
Dr. Van Nguyen
E-mail: [email protected]
Office: 536 Nightingale Hall
Phone: 617-373-5232
OFFICE HOURS:
Mondays, 11:30am-1:00pm;
Wednesdays, 11:30am-1:00pm; or by appointment.
I am here to facilitate your learning. Do not hesitate to email me or come to my office hours if you have any question or concern.
COURSE INFO:
CRN: 10721
MWR 9:15-10:20am
109 Robinson Hall
COURSE DESCRIPTION: is available at http://www.northeastern.edu/registrar/cdr.html.
COURSE OBJECTIVES: Students completing the course should be able to recognize and use the following concepts and methods
of calculus when they occur in their disciplines:
- Differentiation: definition via limits, derivation rules, applications including optimization;
- Basic functions (exponential and log, trig and inverse trig) and their derivatives;
- Integration: antiderivatives and integration by substitution, definite integral, Fundamental theorem of Calculus.
TEXTBOOKS: 1) Worldwide Differential Calculus, by David B. Massey AND
2) Worldwide Integral Calculus, with infinite series, by David B. Massey.
PDF and printed versions can be purchased at: http://www.centerofmath.org/textbooks/index.html. The second book “Worldwide
Integral Calculus” is also the textbook of MATH 1342 so you do not need to buy again if you take that course later. The PDF is priced
at $9.95 each book, while the black and white (grayscale) soft-back printed version is $29.95. The PDF textbook contains a link, at the
beginning of each section, to free video lectures, by Prof. Massey, on the contents of that section. It is absolutely NOT required that
you purchase a printed textbook. A PDF version suffices.
CLASS MATERIALS: are posted on Northeastern Blackboard at https://blackboard.neu.edu/. Check it regularly for updates!
HOMEWORK: Homework will be assigned daily, but will not be collected. It is your responsibility to work on these HW problems
immediately after the corresponding material is taught. Be prepared to discuss and answer HW questions in class.
QUIZZES: At the beginning of class each Thursday (other than the initial Thursday and the Thursday of the midterm exam), there
will be a short quiz taken verbatim from HW exercises and in-class activities from the previous Wednesday, Thursday, Monday.
Homework assigned on the day before the quiz will not be on that Thursday's quiz. We will not be able to go over all HW questions in
class. Thus, I encourage you to work on the HW exercises on your own or in groups, come to see me during my office hours or make
appointments, and utilize additional resources (see below). Two lowest quiz scores will be dropped. Any missed quizzes will be
counted in the dropped worst scores. There will be NO quiz makeups.
MIDTERM EXAM: There will be ONE 65-minute in-class midterm exams, given on Thursday October 27 (tentatively).
If classes are cancelled due any official reasons, any scheduled quiz or midterm exam will occur on the next class meeting.
FINAL EXAM: The two-hour final exam is a comprehensive and common examination for all sections of this course. All students
will take the final exam at the scheduled time. Do not make travel plans that conflict with the final. Only two finals at the same
time or three finals in one day is a University recognized legitimate reason to be excused from taking the final at the scheduled time.
Students with such a conflict should complete a Final Exam Conflict Form, available on the Registrar’s website. Exam conflicts must
be resolved in advance with the Registrar’s Office and your instructor. If you miss the final, it will count as a 0 and you will fail the
course. The final exam date and time are TBA. See http://www.northeastern.edu/registrar/finexsched.html for details.
GRADING: The course grade will be determined as follows: Final exam:
Midterm:
Quizzes:
40%
25%
35% (Two lowest quiz scores will be dropped).
Letter grades are determined numerically using the scale below. Border line grades are determined by class participation and progress.
A > 92;
76 ≥ C >72;
92 ≥ A- >89;
72 ≥ C- >69;
SOME IMPORTANT DATES:
89 ≥ B+ >86;
69 ≥ D+ >66;
86 ≥ B >82;
66 ≥ D >62;
82 ≥ B- >79;
62 ≥ D- >59;
79 ≥ C+ >76;
F ≤ 59.
September 27, Tuesday, Last day to drop a class without a W grade.
September 30, Friday, Last day to file a Final Exam Conflict Form.
December 8, Thursday, Last day to drop a class with a W grade.
ADDITIONAL RESOURCES:
1) The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. This peer tutoring is FREE. Tutoring
appointments can be booked via MyNEU under Tutoring. Tutoring requests are scheduled by students in real-time and confirmed by
email. Next-day appointments must be booked by 11:59 pm of the previous day and you cannot sign up for same day appointments.
Although you can walk in, it is really best to sign up in advance, as walk-in hours are limited to one walk-in tutor each hour between
10am and 5pm Mon-Thu. No walk-ins after 5pm. The Center will be open starting Monday, Sep 12. The hours are Mon-Thu
10am-9pm and Fri 10am-6pm. For more information, see http://www.northeastern.edu/csastutoring/setting-up-appointments/.
2) The College of Engineering also provides tutoring for Calculus. See http://www.coe.neu.edu/undergraduate-support/tutoring.
3) 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 directly on YouTube: https://www.youtube.com/playlist?
list=PLgKTLlHQn952tBgJ6RSiMdNOCuuk29rYm and https://www.youtube.com/playlist?
list=PLgKTLlHQn953f7DYPnC5G1amIsmoq8ksa. An independent video-tutoring company, Kahn Academy, has produced a large
collection of free, short video tutorials and examples on many topics, including Calculus; the URL is http://www.khanacademy.org .
— If there is a discrepancy between how the videos/tutors present material and how I present material, you should follow my
presentation, but you should discuss the matter with me.
ISSUES WITH THE COURSE/INSTRUCTOR: If you have any concern about the course and/or instructor, I will be happy to
discuss it with you. If the issue cannot be resolved then, you should contact the course coordinator, Prof. Ivan Loseu, at
[email protected]. For any matters that remain unsolved, contact the Teaching Director, Prof. Massey, at [email protected].
ACADEMIC HONESTY: Cheating 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 is detailed in the Student Handbook and at the following web site
http://www.northeastern.edu/osccr/academicintegrity .
USE OF TECHNOLOGY: You may need access to a graphing calculator equivalent to TI-82, TI-83, TI-84, TI-85 or TI-86. Some
functions on the TI-89 or 92 or other calculator (symbolic differentiation/integration) are not allowed on quizzes or exams. Computers
and calculators may be referenced during class only with my explicit permission. Cell phones must be silent during class, especially
during quizzes and exams.
MISCELLANEOUS POLICIES:
1) Any student with a disability is encouraged to meet with me during the first week of class to discuss accommodations. The student
must bring a current Memorandum of Accommodations from the Disability Resource Center (DRC).
2) If you are an athlete and have conflicts with an important class activity (quiz, mid-term, or final), you should let me know before
the end of second week of classes and bring an official letter from the Office of Athletics.
3) At the end of the semester, every student is expected to complete the online TRACE survey evaluations of the course as well as the
Math Department’s evaluation form.
4) It is expected that you will attend every class. If you miss class for any reason, make an immediate attempt to contact me or another
student to discuss what you missed and how to catch up. It is your responsibility to be aware of all assignments, any syllabus
changes announced in class or on Blackboard, and any information given when absent.
*************************
Schedule of Topics and Suggested Homework Exercises
Week 1: Sept. 7-9
First book, Worldwide Differential Calculus
§1.1 Average Rates of Change: #3, 4, 8, 9, 12, 19, 21, 25, 38, 46
§1.2 Prelude to Instantaneous Rates of Change: #1, 3, 10,11,14, 24, 33, 42-44
Week 2: Sept. 12-16
§1.3 Limits and Continuity: #1-3, 5, 12, 22, 23, 25, 35, 44-47
§1.4 IROC's and the Derivative: #1, 3, 4, 12, 13, 17, 19, 21, 25, 26, 29, 30, 44, 52, 55, 57
Week 3: Sept. 19-23
§1.4 (continued)
§1.5 Extrema and the Mean Value Theorem: #3, 9,10, 18, 23, 28, 29, 30.
§1.6 Higher-order Derivatives: #1-3, 7, 9, 12, 16, 21-25, 32, 36, 45
Week 4: Sept. 26-30
§2.1 The Power Rule and Linearity: #1, 2, 13, 18, 20, 32, 33, 37, 39, 42, 43, 46, 47, 49.
§2.2 The Product and Quotient Rules: #1, 2, 7, 10, 23, 27, 29, 43, 45.
$2.3 The Chain Rule and Inverse Functions: # 2, 4, 6, 8, 22, 23, 32, 33, 37, 39, 45
Week 5: Oct. 3-7
$2.3 (continued)
§2.4 The Exponential Function: #2, 5, 7, 12, 17, 25, 30, 34, 39, 40, 42, 43, 52
§2.5 The Natural Logarithm: #2-5, 13, 17, 21, 25, 26, 37, 48
Week 6: Oct. 10-14
Monday, October 10, Columbus Day, no classes
§2.5 (continued)
§2.6 General Exponential and Logarithmic Functions: #2-7, 16, 21, 37, 50
Week 7: Oct. 17-21
§2.7 Sine and Cosine: #1, 4, 5, 8, 13, 14, 20, 25, 33, 36-38, 52, 54
§2.8 Other Trig. Functions: #5, 7, 8, 11, 16, 18, 39, 45, 49
Appendix A: Parametrized Curves and Motion: #1, 2, 5, 6, 9-11, 14, 15, 19
Week 8: Oct. 24-28
§2.9 Inverse Trig. Functions: #2-7, 21, 24, 27, 44, 47.
Review
Midterm (October 27): covers everything up to Appendix A
Week 9: Oct. 31-Nov. 4
§3.3 Optimization: #1, 2, 4, 7, 16, 17, 19, 21, 34, 42.
§3.5 l’Hôpital’s Rule: #1, 2, 4, 5, 6, 8, 12, 39, 52
Week 10: Nov. 7-11
§4.1 What is a Differential Equation?: #1, 3, 17, 19, 25, 26, 39, 43, 44
§4.2 Anti-derivatives, Integration by Substitution: #1-7, 9, 11, 15, 19, 22, 25, 28, 57, 59, 69, 70
Week 11: Nov. 14-18
Second book Worldwide Integral Calculus (§1.1 same as §4.2 of first book)
§1.1 (continued) Anti-derivatives, Integration by Substitution
§2.1 Sums and Differences #1, 2, 5, 12, 16, 19, 29
Week 12: Nov. 21-22
§2.2 Prelude to the Definite Integral #1, 17, 19, 20, 25, 28, 31, 37
Wednesday, Nov. 23 - Sunday, Dec 1 Thanksgiving break
Week 13: Nov. 28-Dec. 2
§2.3 The Definite Integral #1, 2, 3, 8, 14, 15, 22, 35, 39
§2.4 The Fundamental Theorem of Calculus #1, 2, 3, 10, 17, 23, 24, 41
§3.2 Area in the Plane #1, 3, 6, 8, 11, 14, 19, 36
Week 14: Dec. 5-7
Review
Friday, Dec. 9 & Monday, Dec. 12 - Friday, Dec. 16, FINAL EXAMS