Patrick's Diary - 8/5/2015

Going to work this morning, I happened to listen to the traffic report on Spirit saying that it had become a parking lot from Bothell-Everett Highway to Kirkland. Therefore, I went through the local to get onto I-405 at entrance at 116th Street. Though traffic was still congested, I avoided most of the problematic sections. 

Coming back home around 5:00 pm, I took a nap then had a big dinner - two big bowls of Chinese noodles my mom cooked.

I planned to watch Sounders taking Whitecaps in first round of CONCACAF Champions League, but fell into sleep from time to time. I did catch the goal Vancouver scored but missed the one Sounders tied the match. It gave Sounders a comfortable position to come back home with a point and a goal. 

Keeping reading Section 5.3 of my son's Calculus textbook, I recall the relationship between Differentiations and Integrations discovered by Newton's mentor at Cambridge. Issac Barrow realized that they were inverse processes. 

g(x+h) - g(x) = hf(x)

[g(x+h) - g(x)]/h = f(x)

g'(x) = Lim (h to 0) [g(x+h) - g(x)]/h = f(x)

Practicing the following example, I figured that I probably need to go back to the chapters of Differentiation to review some rules:

Find d/dx Limit from 1 to x^(4) sectdt

Use Chain Rule:

Let u = x^(4), then

d/dx Limit from 1 to x^(4) sectdt = d/dx limit from 1 to u sectdt 

= d/du [limit from 1 to u sectdt] du/dx

= secu du/dx

= sec(x^(4))*4x^(3)

Yes, since my son doesn't want to stick with his plan of previewing Integrations before Autumn Semester starts, I probably will go back to the beginning of this book to go over Differentiations. 

It's fun to me even just reading calculus textbook. Though, I still miss the days I drove that VOLVO XC60 with Swedish License Plate of FTP 239 through Scandinavian Peninsula. In 90s, I never drove through the freeway between Stockholm (Uppsala) and Oslo but did it this time. However, as soon as getting onto E6 from Oslo to Goteborg, I was so excited because I had done this back and forth once before.

Oh, this clip was filmed on July 8th, my 49th birthday. Wow, I still miss there. As I said, I will try to go back to watch Eurovision in May next year and find out another time to drive up to Haparanda, then cross the border to Finland. It will be even more spectacular and memorable, for sure.