Week 2 of online learning 4-6 through 4-9

Ok here we go on week 2 of the journey, miss seeing you guys and am proud of what you have been accomplishing online so far.

Step 1:  Watch the video on exponential growth and decay.  She does an excellent job proving the exponential growth and decay function.  You do not have to do this for every problem and can start with the equation  
y = Ne^(kt) and go from there but you should understand where this formula comes from by watching her video.  She does a couple of examples as well.  Ignore the part of the video on Newtons law of cooling.

https://www.youtube.com/watch?reload=9&v=4HYZeiZlu_c

Additional resources:

Halstead and Straub notes from last year

http://tutorial.math.lamar.edu/problems/calci/explogeqns.aspx  (lamar univ notes on exponential growth no video)

Step 2:  Do assigned problems on exponential growth and decay by opening assignment using link below.  Photograph your assignment and send it via e-mail back to Mr. Halstead/Ms. Straub by Thursday 4-9 at 8:00  P.M.


Exponential Growth and Decay Assignment

Step 3:  Go to schoology and answer the discussion question under the exponential growth folder.  Just type your response.

Step 4:  Watch the video on solving integrals that result in inverse trigonometric functions.  Just basically an amped up u-substitution integral.  We call them work-box integrals and I think you will see why if you look at our notes below in the additional resources..

https://www.youtube.com/watch?v=AE-0gXXx_j0  (Don't panic that it says the organic chemistry tutor, he does a nice job explaining this calculus topic)


Additional resources:

 halstead and straub notes last year

https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Calculus_(OpenStax)/05%3A_Integration/5.7%3A_Integrals_Resulting_in_Inverse_Trigonometric_Functions  (non video notes of these integral types, only look at if the above two resources video and our notes do not get it across)


Step 5:  Answer the discussion question on integrals resulting in inverse trig integrals and complete the assignment on these integrals and e-mail it back to Mr Halstead/Ms Straub by the 14th Tuesday at 4:00.

Assignment on Integrals that result in an inverse trigonometric function


Our next weeks assignment will come out on Wednesday the 15th since Monday of that week is a holiday day off. 

Remember in addition to this make sure you read the grading e-mail we sent earlier and have turned in or made up the things required of you.

You should on your own be practicing AP questions from the prediction packet and logging some time on the AP reviews that the college board is running on you-tube.  It won't surprise us at all if those things they are reviewing appear on the Exam this year.

https://www.youtube.com/playlist?list=PLoGgviqq4844keKrijbR_EPKRNIW6hahV

As always if questions arise as you are doing these topics please e-mail us and we will reply at some point during school hours as quickly as we can.

Thanks,
Mr. Halstead/Ms. Straub