The final exam scores are 175, 164, 161, 161, 153, 151, 145, 144, 136, 104, 102, 91, 85, 69, 64, 61, 20, 4 with μ=117 and σ=45.
The cutoffs for grades are ≥475=A+, ≥420=A, ≥375=A-, ≥330=B, ≥275=C, ≥265=D. This is out of 530 total points.
The final exam may include material through the end of Chapter 4.
Here is a solution of the paper folding problem which was started in class on Thursday.
The scores on Quiz 13 are 30, 30, 30, 27, 27, 25, 24, 23, 22, 21, 21, 20, 20, 19, 15, 14, 13, 9, 6, 4 with μ=20 and σ=7.7.
A solution for Extra Credit 7 is available.
Quiz 13 may include topics through Section 4.8.
The final extra credit is available.
The scores on Quiz 12 are 24, 23, 22, 22, 19, 18, 17, 16, 15, 14, 14, 13, 12, 10, 8, 7, 6, 6, 4, 0 with μ=14 and σ=7.
Quiz 12 may include material through Section 4.6.
There is a new extra credit problem.
More examples of optimization problems were done in class today.
The scores on Quiz 11 are 30, 30, 30, 30, 30, 29, 29, 28, 28, 26, 25, 25, 25, 24, 23, 21, 20, 15 with μ=26 and σ=4.2.
Quiz 11 may include material through Section 4.4.
A new extra credit problem is there to be enjoyed.
Most of the time today was spent looking at more examples of l’Hôspital’s rule. In particular, examples with indeterminate forms other than 0/0 or ∞/∞ were presented.
The scores on Quiz 10 are 30, 28, 27, 27, 24, 23, 22, 21, 21, 20, 18, 18, 11, 10, 10, 9, 8, 6, 3, 3 with μ=17 and σ=8.7.
A solution to Extra Credit 4 has been posted.
Quiz 10 may include material through Section 4.3.
There is a new extra credit problem.
The scores on Quiz 9 are 29, 28, 27, 26, 25, 25, 24, 23, 21, 17, 16, 15, 12, 12, 11, 9, 7, 3, 2, 1, 0 with μ=16 and σ=9.6.
As promised, here is a plot of the functions y = x and y = x+sin(x) on the same axis.
Topics concerning and resulting from the Mean Value Theorem were discussed today. In particular, we saw that functions with identical derivatives must differ by a constant and functions with positive (negative) derivatives are increasing (decreasing). Thus, the derivative tells the functions which way to move.
Anything through the end of Chapter 3 is legal material for Quiz 9.
There is a new extra credit problem.
A solution to Extra Credit 3 has been posted.
The scores on Quiz 8 are 26, 25, 23, 23, 23, 22, 19, 17, 17, 16, 16, 10, 10, 9, 8, 8, 7, 3, 0, 0 with μ=14.1 and σ=8.3.
After Quiz 8, the hyperbolic functions were introduced.
Quiz 8 may include material through Section 3.8.
Today's topic was differentials and tangent line approximations.
The scores on Quiz 7 are 30, 30, 30, 30, 29, 29, 29, 28, 28, 25, 24, 23, 21, 13, 10, 3, 0, 0 with μ=21.2 and σ=10.9.
This week’s quiz may include material through Section 3.6.
Section 3.7 will not be covered in class. You should still read it.
Today’s topics included a review of the derivatives of logarithms and logarithmic differentiation.
There is a new extra credit problem.
The scores on Quiz 6 are 29, 29, 28, 28, 28, 27, 26, 25, 25, 25, 24, 18, 18, 16, 16, 14, 13, 11, 10, 2 with μ=20.6 and σ=7.8.
After Quiz 6, the topics of the day were implicit differentiation and higher order derivatives.
A solution for Extra Credit 2 has been posted.
The topics of the day included the chain rule and some applications including the derivatives of the natural logarithm and the inverse trigonometric functions.
There is a conference taking over most of the classrooms in the Humanities Building on Thursday, February 19. Our class has been relocated to Natural Sciences 333 on that day.
Quiz 6 may include material through Section 3.3.
The scores on Quiz 5 are 30, 30, 27, 26, 24, 24, 24, 23, 20, 19, 19, 18, 17, 17, 15, 13, 12, 10, 6, 0 with μ=18.7 and σ=7.8.
There is a conference taking over most of the classrooms in the Humanities Building on Thursday, February 19. Our class has been relocated to Natural Sciences 333 on that day.
Here is a solution for Extra Credit 1.
Quiz 5 may include material through Section 3.1.
There is a new extra credit problem.
The scores on Quiz 4 are 30, 30, 30, 30, 29, 27, 26, 26, 24, 23, 23, 22, 22, 21, 16, 16, 16, 13, 12, 8 with μ=22 and σ=6.7.
After Quiz 4, we looked at the definition of differentiability, showing that differentiability implies continuity, but not vice versa. The power rule was introduced for integer powers.
The topics of the day were limits to infinity, horizontal asymptotes and the definition of the derivative.
The scores on Quiz 3 are 30, 30, 30, 29, 28, 27, 27, 25, 24, 22, 22, 19, 19, 13, 13, 9, 7 with μ=22 and σ=7.5.
Extra Credit 1 is available. Extra credit problems are due a week after they are assigned.
Quiz 4 may include material through Section 2.5.
After Quiz 3, the Intermediate Value Theorem and the Maximum (or Extreme) Value Theorem were discussed. The bisection algorithm was presented as an application of the Intermediate Value Theorem. A write-up of the bisection example done in class is here.
Todayʼs Quiz 3 will be given on Monday and Quiz 4 will be given one week from today, so we can at least pretend to get back on schedule.
There will be a quiz on Thursday covering up through Section 2.3.
The topics today included the ε-δ formal definition of the limit and continuous functions.
The scores on Quiz 2 are 30, 30, 30, 30, 30, 27, 27, 26, 25, 25, 24, 23, 23, 20, 19, 17, 16, 14, 10, 10, 2 with μ=21.8 and σ=7.8.
After Quiz 2, we plunged on more deeply into Section 2.3, with more examples of calculating limits and the Squeeze Theorem.
The idea of the limit of a function was discussed today.
After every quiz, I will post the sorted scores here. The statistics include μ, which is the average or mean of the scores, and σ, which is the standard deviation. Roughly two-thirds of the scores lie in the interval (μ-σ, μ+σ).
The scores on Quiz 1 are 29, 28, 27, 27, 24, 23, 23, 21, 20, 20, 18, 17, 14, 14, 13, 11, 10, 10, 9, 7, 6, 6, 3, 0, 0 with μ=15.2 and σ=8.8.
Quiz 2 may include material through Section 2.1.
After Quiz 1, the presentation of the tangent line and velocity problems was continued. It was shown how the average velocity corresponds to the slope of a secant line on the graph of the position function, so the solutions to both problems turn out to be the same.
The period began with a longer look at exponential and logarithm functions. You should, in particular, know the change of base formulas for each. The end of the class period was filed by a discussion of the tangent line and velocity problems. These are two of the problems that inspired the discovery of the derivative.
The topics for Thursday’s Quiz 1 include all those in Chapter 1.
The topics highlighted in class today included the composition and inverses of functions. As examples, the inverse trigonometric functions were presented and the logarithm was mentioned near the end of the lecture.
Information about the REACH mathematics support resources is available here.
The first class meeting was consumed by a look at standard notations and a review of some basic ideas about functions. In particular, the ideas of injective, surjective and bijective functions were reviewed.
On Monday, we’ll use these ideas to talk about the inverse trigonometric functions.
This is the place to look for news and announcements about MATH 205-04, Calculus I, Spring 2009.