Calculus II - MATHV1102 - Spring 2011

Section 6  TUESDAY, THURSDAY   4:10PM - 5:25PM
MATHEMATICS  528

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Instructor: Fabio Nironi

Office hours:

  Monday, Wednesday 6:00-7:00pm ; and by appointment

TA:

  TBA

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Textbook:

J.Stewart - Calculus, Early Transcendentals (Sixth edition), available in the university bookstore.

Overview of the course and Suggested Reading:

This is a second course in calculus and as  matter of fact this (as well as Calc4) is the hardest course in the Calc series. The two main topics are: techniques to solve Riemann integrals and series/sequences. We will also spend some time studying complementary topics like: parametric equations and some calculations of lengths and volumes.
I would like to spend a considerable part of the course studying Taylor series and its numerous applications, in particular applications to the calculation of limits and improper integrals. The textbook doesn't cover this material in a completely adequate way, so I will provide additional notes and exercises.
I will try to provide adequate and exhaustive material for the class, but I strongly recommend that you take notes in class and  I would also like to encourage independent research and reading. I will follow the textbook but not faithfully; you will be held responsible for everything I teach in class and you can safely ignore all the material in the book that I ignore.

Recitations:

  In my opinion, the lack of recitations in the calculus series is the main reason why students struggle so much. The course is structured in a way that there is not enough time for practicing in class. For this reason I have decided to offer an unofficial recitation hour every week. This additional hour will be entirely used for practicing. We will try to schedule it together the first day of class.  Recitation hours are not mandatory and do not substitute office hours, the purpose of the two things is different.

Recitation is currently scheduled on Friday from 4pm to 5pm in math 528

Prerequisites:

  Calculus I.

Grading:

Homework 20%; Best  Midterm  25%; the Midterm Not Necessarily as Good as the Best  15%; Final 40% 
Depending on the circumstances I might decide to evaluate extracredit assignments.
I pride myself of assigning many A+'s each semester (students must have at least an A+ on a midterm or the  final). The A+ grade is at my personal discretion and I assign it to people who have an impressive average (compared to the curve of the class) or who have shown outstanding improvements through the course.

Midterms:

There will be two midterm exams during class. Make-up exams will not be given unless a written excuse for missing the exam is provided from either a doctor in the case of illness or from a dean in other exceptional circumstances.

Midterm 1 :  February 17th (in class)
Midterm 2 : April 7th (in class)

Final:

The final exam projected date is Tuesday May 10-th from 9.00am to noon. All students must take the final at the time scheduled by the university.

Homework:

There will be weekly written assignments which can be found below along with the due date. Problem sets are due on Friday by 5.00pm and can be dropped in my drop-box. The solutions will be posted on Courseworks. I have decided not to make use of Webassign; if you are interested in the reasons why I have decided not to use it, we can discuss this in private.

• Late homework will not be accepted.
• The two lowest homework grades will be dropped.
• Please staple or paper clip your work.
• Don't forget to write your name on it!

 

Help room:

Mathematics 406. There is more information here.

Calculators:

Calculators are not needed for this course, and they will not be allowed in the exams.

Honesty:

Copying your written work from somebody else or from any other source is considered cheating and will be dealt with severely. Any cheating during midterms or finals will result in you failing the course and the matter being reported to your dean.

Important Dates:

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Syllabus (might be subject to changes)

Date	Reading	Homework
Jan. 18, 20	7.1: Review of Riemann integrals. Integration by parts.	7.1: 12, 16, 18, 24, 30, 32, 33-38, 48, 50, 64 Recommended: 5.5: 19-46
Jan. 25, 27	7.2, 7.3: Trigonometric integrals. Trigonometric and hyperbolic substitutions	7.2: even numbers 30-48 7.3: even numbers 18-30
Feb. 1, 3	7.4, 7.5: Partial fractions, integration of rational trig. functions. Integration strategy	7.4: 34-38, 48-50 (both odd and even) 7.5: 44, 22, 24, 75
Feb. 8, 10	7.8: Improper integrals	7.8: 23, 25, 26, 38, 40, 50, 51, 54, 56, 59, 77, 80
Feb. 15	Review
Feb. 17	Midterm 1
Feb. 22, 24	8.1, 8.2: Arc length, area of surfaces of revolution	Assignment 5
Mar. 1, 3	10.1, 10.2, 10.3: parametric and polar curves	Assignment 6
Mar. 8, 10	11.1, 11.2, 11.3, 11.4: Sequemces, Series, Integral test, comparison tests	11.1: 60, 62, 65, 67, 70, 80 11.2: 18, 22, 24, 29, 37, 38
Mar. 22, 24	11.5, 11.6: Alternating series, Absolute convergence	11.5: 11-20, 32, 34 11.6: 19-27
Mar. 29, 31	11.6, 11.8: Root and Ratio tests, Power series
Apr. 5	Review
Apr. 7	Midterm 2
Apr. 12, 14	11.9, 11.10: Representing functions as power series, Taylor series
Apr. 19, 21	Taylor polynomials, Landau symbols and applications to the calculation of limits, Integrals and series	Lecture Notes
Apr. 26, 28	Same as above, Review
May. 10	Projected Final exam