# Barbeau mathematical fallacies pdf

Let $$B_n = 1/n \sum_{k = 1}^n a_k$$. Prove that $$\sum_{n = 1}^\infty 1/B_n$$ converges. You may start whenever, but once you start it is closed book, no calculators, …. Homework: Due Wednesday March 13: Page 981: Question 19: Find the point on the line $$3x+4y=100$$ that is closest to the origin.

Pigeons (Columba livia) perform optimally on a version of the Monty Hall Dilemma.» J. Comp. Homework solutions are available here (do not look at a week’s solution until you’ve done the problems).. HOMEWORK: Homework problems listed below; suggested problems collected together at the end. Wiley-IEEE. ISBN 9780780304239. Magliozzi, Tom; Magliozzi, Ray (1998). Haircut in Horse Town: & Other Great Car Talk Puzzlers.

References ^ Polynomials, Springer-Verlag ^ Power Play, Cambridge Univ. Springer-Verlag ^ Challenging Mathematics In and Beyond the Classroom, Springer-Verlag ^ Ed Barbeau home page External links. Due at the start of class on Friday, March 15: first problem on the midterm. Specifically, if the quantity you want to divide by can be zero, you have to consider as a separate case what happens when it is zero, and as another case what happens when it is not zero.

Additional Problem: Give an example of a region in the plane that is neither horizontally simple nor vertically simple. Due Monday, April 1: Exam: Friday, March 15 in classRead 13.2, 13.3, 13.4. Due at the start of class on Friday, March 15: first problem on the midterm. Due Wednesday, April 3: Due Friday, April 5: Remember quiz 4 is due at the start of Friday’s classRead 13.7: Just know the statements of cylindrical and spherical change of variables Video of the week: Coin Sorting. Read multivariable calculus (Cain and Herod) and my lecture notes.

Martin, Robert M. (2002). There are two errors in the the title of this book, 2nd. Additional Question 1: Compute the first five terms of the Taylor series expansion of $$\ln (1-x)$$ (the natural logarithm of x) about $$x = 0$$, and conjecture the answer for the full Taylor series. Additional Question 2: Compute the first five terms of the Taylor series expansion of $$\ln (1+x)$$ (the natural logarithm of x) about $$x = 0$$, and conjecture the answer for the full Taylor series. Oxford University Press US. ISBN 9780195066982. Whitaker, Craig F. (1990). [Formulation by Marilyn vos Savant of question posed in a letter from Craig Whitaker]. «Ask Marilyn» column, Parade Magazine p. 16 (9 September 1990). Retrieved from » &oldid=100752534″.

Due Monday, Feb 4: Handout from first day of class is here.Read: Section 11.1, 11.2. Use that time to read the material and make sure your Calc I/II is fresh. All problems are worth 10 points; I will drop whatever assignment helps your HW average the most. Homework: Due Friday, April 5: Page 1011: #13: Evaluate the iterated integral $$\int_0^3 \int_0^y \sqrt{y^2 + 16}\ dx\ dy.$$. Page 1011: #25: Sketch the region of integration for the integral $$\int_{-2}^2 \int_{x^2}^4 x^2y\ dy\ dx.$$ Reverse the order of integration and evaluate the integral. Additional Question 3: Give an example of a sequence or series you like.

Remember to be on the lookout for dividing by zero. Exercise 3.9: Show that the Method of Least Squares predicts the period of orbits of planets in our system is proportional to the length of the semi-major axis to the 3/2 power. Introduction: THREE Extra Credit Problems: (1) Let N be a large integer. Save 50% on Print Books, eBooks & Journals in Medicine!

Page 1011: #30: Sketch the region of integration for the integral $$\int_{0}^1 \int_{y}^1 \exp(-x^2)\ dx\ dy.$$. Reverse the order of integration and evaluate the integral. Note: after some algebra you’ll get that $$x$$ satisfies $$2(x-1)^3+x=0$$ (depending on how you do the algebra it may look slightly different). You may use a calculator, computer program, … to numerically approximate the solution.

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