Homework

Current Sets

Due Date	WeBWorK	Notebook
May 6th at 11:59pm ET	PS3 - Learning Outcome	No notebook
May 6th at 11:59pm ET	PS4 - Learning Outcome	No notebook
Not Graded	PS5 - Learning Outcome	Not Graded
Not Graded	PS6 - Learning Outcome	Not Graded

Homework Notebook

In order to earn credit for your homework notebook, you need to submit your written solutions for the specific WeBWorK problems indicated above. You do not necessarily need to write out your solutions to all of the problems, just the ones listed. You do however, need to complete and answer all of the WeBWorK problems.

Remember to follow the homework notebook format described in the course syllabus.

1. Write out the main part of each question along with your solution.

2. Write out your work very neatly. This should be a final, polished write-up, not a first draft.

3. Each problem set should be written on separate pages. Do not combine multiple problem sets on the same page. E.g. Solutions for I3 and I4 should be separate.

Retired Sets

Due Date	WeBWorK	Notebook
Not graded	I1 - Learning Outcome	For practice only, not graded
Not graded	I2 - Learning Outcome	For practice only, not graded
Feb 5th at 11:59pm ET	I3 - Learning Outcome	#10, 14, 18
Feb 5th at 11:59pm ET	I4 - Learning Outcome	#3, 4, 9
Feb 5th at 11:59pm ET	I5 - Learning Outcome	#3, 7, 9
Feb 12th at 11:59pm ET	I6 - Learning Outcome	#1, 3, 4
Feb 12th at 11:59pm ET	AD1 - Learning Outcome	#4, 6, 10
Feb 19th at 11:59pm ET	AD2 - Learning Outcome	#4, 6, 7
Feb 19th at 11:59pm ET	AD3 - Learning Outcome	#5, 6, 9
Feb 19th at 11:59pm ET	AI1 - Learning Outcome	#4, 5, 6
Feb 26th at 11:59pm ET	AI2 - Learning Outcome	#2, 4
Feb 26th at 11:59pm ET	AI3 - Learning Outcome	#2, 3, 4
Feb 26th at 11:59pm ET	AI4 - Learning Outcome	No Notebook
Feb 26th at 11:59pm ET	AI5 - Learning Outcome	#1, 2, 3
Mar 4th at 11:59pm ET	AI6 - Learning Outcome	#5, 6, 7
Mar 4th at 11:59pm ET	AI7 - Learning Outcome	#3, 6
Mar 4th at 11:59pm ET	AI8 - Learning Outcome	#4, 5, 12, 13
Not graded	AI9 - Learning Outcome	For practice only, not graded
Mar 13th at 11:59pm ET	PE1 - Learning Outcome	No Notebook
Mar 13th at 11:59pm ET	PE2 - Learning Outcome	No Notebook
Mar 13th at 11:59pm ET	PE3 - Learning Outcome	No Notebook
Mar 13th at 11:59pm ET	PE4 - Learning Outcome	#1, 2
Mar 25th at 11:59pm ET	PC1 - Learning Outcome	No Notebook
Mar 25th at 11:59pm ET	PC2 - Learning Outcome	No Notebook
Apr 1st at 11:59pm ET	PC3 - Learning Outcome	No Notebook
Apr 1st at 11:59pm ET	S1 - Learning Outcome	No Notebook
Apr 1st at 11:59pm ET	S2 - Learning Outcome	#1, 4, 10
Apr 10th at 11:59pm ET	S3 - Learning Outcome	#6, 7
Apr 10th at 11:59pm ET	S4 - Learning Outcome	No notebook
Apr 10th at 11:59pm ET	S5 - Learning Outcome	No notebook
Apr 10th at 11:59pm ET	ST1 - Learning Outcome	No notebook
Apr 15th at 11:59pm ET	ST2 - Learning Outcome	#8, 9 (prove decreasing for 8)
Apr 15th at 11:59pm ET	ST3 - Learning Outcome	#2, 6
Apr 15th at 11:59pm ET	ST4 - Learning Outcome	#3, 4
Apr 15th at 11:59pm ET	ST5 - Learning Outcome	#1, 4
Apr 22nd at 11:59pm ET	ST6 - Learning Outcome	No notebook
Apr 22nd at 11:59pm ET	ST7 - Learning Outcome	#2, 3
Apr 22nd at 11:59pm ET	ST8 - Learning Outcome	#4, 7
Apr 29th at 11:59pm ET	PS1 and PS2 - Learning Outcome	#2, 3, 5

Hint for I6 Problem 6

It may be helpful to note the trigonometric identity:

\[ \sin^2 x = \tfrac{1}{2} \big(1-\cos (2x) \big) \]

Hint for AD3 Problem 10

It may be helpful to use:

\[ \int \sqrt{a^2+u^2} \; du = \tfrac{u}{2}\sqrt{a^2+u^2} + \tfrac{a^2}{2}\ln \big( u+ \sqrt{a^2+u^2} \big) +C \]

Hint for S2 Problem 12

It may be helpful to look up the limit definition of \(e^x\).

Another option, it may be helpful to apply the natural log to get the \(n\) out of the exponent.

1. Apply the natural log and bring the exponent \(n\) out in front. This gives an indeterminate product.

2. Rewrite the product as a fraction by moving the \(n\) out in front into the denominator as \(1/n\).

3. Apply l’Hospital’s Rule, to calculate this limit.

4. Once you find the result, plug this value into the exponential function (to cancel out the natural log that you applied at the beginning).