Grad Wiki - User contributions [en]

Kayla's pages

2017-05-20T02:22:12Z

Alex S: /* Editing Comments */

=Completed=

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=

9B Sample 1:
3.a) Step 2, should say 2 - cos(x), not 1 - cos(x)
4. Foundation, would be better to write it as sin^2(x) + cos^2(x) = 1 since you remind them of this in each example before using it anyways
4.b) I think it would look better if you wrote \int 1 dx instead of just \int dx in steps 1 and 3
4.b) Make the size of the final integral in step 4 larger
6.b) Should be limit as a approaches 4 from the left only
7. Foundation, should have a dx at the end of the equation for ds
7.b) Why not solve it using u-sub directly instead of trig sub to start?

9B Sample 2:
4. This is completely blank.
5.b) Just compute 27^2/2^2 = 729/4, would look better I think
7.a) and b) Why convert the limit from a to x, since a ranges over real numbers also so l'Hopital's rule holds.
7.b) Should be limit as a approaches 0 from the right only

9B Sample 3:
Didn't find any corrections in this Exam.

9A Sample 1:
1. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.

9A Sample 2:
1. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
1.a) %if% we plug in x=4...
3.c) Why not just use implicit differentiation to explain how to do the derivative?
5. This is completely blank.
8. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
10.c) Better to take the limit as x approaches infinity and negative infinity to show the HA is y=0.

9A Sample 3:
1.b) Fix the lim_{x\rightarrow 8} notation in step 1
7. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
7.a) conjugate should be 3+sqrt(9-x), which changes the answer

=Posted to Public Wiki=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-05-20T01:34:41Z

Alex S: /* Editing Comments */

=Completed=

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=

9B Sample 1:
3.a) Step 2, should say 2 - cos(x), not 1 - cos(x)
4. Foundation, would be better to write it as sin^2(x) + cos^2(x) = 1 since you remind them of this in each example before using it anyways
4.b) I think it would look better if you wrote \int 1 dx instead of just \int dx in steps 1 and 3
4.b) Make the size of the final integral in step 4 larger
6.b) Should be limit as a approaches 4 from the left only
7. Foundation, should have a dx at the end of the equation for ds
7.b) Why not solve it using u-sub directly instead of trig sub to start?

9B Sample 2:
4. This is completely blank.
5.b) Just compute 27^2/2^2 = 729/4, would look better I think
7.a) and b) Why convert the limit from a to x, since a ranges over real numbers also so l'Hopital's rule holds.
7.b) Should be limit as a approaches 0 from the right only

9A Sample 1:
1. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.

9A Sample 2:
1. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
1.a) %if% we plug in x=4...
3.c) Why not just use implicit differentiation to explain how to do the derivative?
5. This is completely blank.
8. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
10.c) Better to take the limit as x approaches infinity and negative infinity to show the HA is y=0.

=Posted to Public Wiki=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-05-20T01:33:55Z

Alex S: /* Editing Comments */

=Completed=

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=

9B Sample 1:

3.a) Step 2, should say 2 - cos(x), not 1 - cos(x)
4. Foundation, would be better to write it as sin^2(x) + cos^2(x) = 1 since you remind them of this in each example before using it anyways
4.b) I think it would look better if you wrote \int 1 dx instead of just \int dx in steps 1 and 3
4.b) Make the size of the final integral in step 4 larger
6.b) Should be limit as a approaches 4 from the left only
7. Foundation, should have a dx at the end of the equation for ds
7.b) Why not solve it using u-sub directly instead of trig sub to start?

9B Sample 2:
4. This is completely blank.
5.b) Just compute 27^2/2^2 = 729/4, would look better I think
7.a) and b) Why convert the limit from a to x, since a ranges over real numbers also so l'Hopital's rule holds.
7.b) Should be limit as a approaches 0 from the right only

9A Sample 1:
1. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.

9A Sample 2:
1. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
1.a) %if% we plug in x=4...
3.c) Why not just use implicit differentiation to explain how to do the derivative?
5. This is completely blank.
8. Foundation, limit as x approaches any value a, not just infinity. And I don't think we need the comment that lim f'(x)/g'(x) is finite or +-infinity.
10.c) Better to take the limit as x approaches infinity and negative infinity to show the HA is y=0.

=Posted to Public Wiki=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-05-19T23:59:50Z

Alex S: /* Editing Comments */

Kayla's pages

2017-04-14T03:29:35Z

Alex S: /* Editing Comments */

=Completed=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=

Midterm 1:

1c) Do we want to plug in -3, or just see that the denominator goes to zero as you approach -3?

Midterm 2:

1c) Graph is not inserted

MATH 9C

Midterm 1:
1) Foundations definition of L'Hop Rule isn't in line with Apex definition.
3) Step 4: "Since ______ converges but does not converge absolutely, then the series converges conditionally."

Midterm 2:
1) Foundations definition of L'Hop Rule isn't in line with Apex definition.
1) Step 4: lim_{n\rightarrow infty} not in correct display style.
3) Parenthesis in Step 3 are too big in my opinion.
4)a) Step 1: Forgot a \lim_{n\rightarrow \infty} at one of the steps.

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-04-14T02:58:20Z

Alex S: /* Editing Comments */

=Completed=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=
General Comment for 9A: For the Final Answers, writing dy/dx= or f'(x)= will remind students what they were looking for in the first place.

Midterm 1:

1c) Do we want to plug in -3, or just see that the denominator goes to zero as you approach -3?

1a) Fix the lim_{x\rightarrow 2} in the fraction
5) Foundations: ... relationship between %the% position s(t)...
5) Final Answers in ft. and ft/sec

Midterm 2:

1c) Graph is not inserted

1a) ... noticing that %if% we plug ...
2b) Instead of just saying "Since 0 is between..", saying "Since y=0 is between" to make it clear that it is not the input x-values that matter.

Midterm 3

1c) One of the limits is x\rightarrow 0 instead of x\rightarrow \infty

9B Midterm 2: For problem 4, steps 3 and the final answer, you have an extra ( at the beginning.

9B Midterm 3: Need parentheses around the terms being evaluated from 6 to 1.

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-04-14T02:14:11Z

Alex S: /* Editing Comments */

=Completed=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=
General Comment for 9A: For the Final Answers, writing dy/dx= or f'(x)= will remind students what they were looking for in the first place.

Midterm 1:
1a) Fix the lim_{x\rightarrow 2} in the fraction
1c) Do we want to plug in -3, or just see that the denominator goes to zero as you approach -3?
5) Foundations: ... relationship between %the% position s(t)...
5) Final Answers in ft. and ft/sec

Midterm 2
1a) ... noticing that %if% we plug ...
1c) Graph is not inserted
2b) Instead of just saying "Since 0 is between..", saying "Since y=0 is between" to make it clear that it is not the input x-values that matter.

Midterm 3
1c) One of the limits is x\rightarrow 0 instead of x\rightarrow \infty

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-04-14T02:13:55Z

Alex S: /* Editing Comments */

=Completed=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=
General Comment for 9A: For the Final Answers, writing dy/dx= or f'(x)= will remind students what they were looking for in the first place.
Midterm 1:
1a) Fix the lim_{x\rightarrow 2} in the fraction
1c) Do we want to plug in -3, or just see that the denominator goes to zero as you approach -3?
5) Foundations: ... relationship between %the% position s(t)...
5) Final Answers in ft. and ft/sec

Midterm 2
1a) ... noticing that %if% we plug ...
1c) Graph is not inserted
2b) Instead of just saying "Since 0 is between..", saying "Since y=0 is between" to make it clear that it is not the input x-values that matter.

Midterm 3
1c) One of the limits is x\rightarrow 0 instead of x\rightarrow \infty

=In Progress=

[[U-substitution|U-substitution]]

Kayla's pages

2017-04-04T20:40:05Z

Alex S: /* Editing Comments */

Kayla's pages

2017-03-13T18:47:30Z

Alex S: /* Editing Comments */

=Completed=

[[009A Sample Midterm 1|009A Sample Midterm 1]]

[[009A Sample Midterm 2|009A Sample Midterm 2]]

[[009A Sample Midterm 3|009A Sample Midterm 3]]

[[009B Sample Midterm 1|009B Sample Midterm 1]]

[[009B Sample Midterm 2|009B Sample Midterm 2]]

[[009B Sample Midterm 3|009B Sample Midterm 3]]

[[009C Sample Midterm 1|009C Sample Midterm 1]]

[[009C Sample Midterm 2|009C Sample Midterm 2]]

[[004 Sample Final A|004 Sample Final A]]

[[009C Sample Final 1|009C Sample Final 1]]

[[009A Sample Final 1|009A Sample Final 1]]

[[009B Sample Final 1|009B Sample Final 1]]

[[009B Sample Final 2|009B Sample Final 2]]

[[009B Sample Final 3|009B Sample Final 3]]

[[009C Sample Final 2|009C Sample Final 2]]

[[009C Sample Final 3|009C Sample Final 3]]

[[009A Sample Final 3|009A Sample Final 3]]

[[009A Sample Final 2|009A Sample Final 2]]

=Editing Comments=
In problems 2,4,6 it might be good to mention the terms when using the Alternating Series Test are positive since the other conditions are shown.

A general note for the Final Answers, the test used should be added, for instance in problem 2, it would read "converges by the Limit Comparison Test".

Problem 6 part d asks for the sum of the series if it is convergent.

I know you mentioned graphs and images would not be added yet, but problem 9 is completely blank.

Those are all the comments I have for 9C Sample 3

=In Progress=

[[U-substitution|U-substitution]]