This week we finished up with the chapter by taking Chapter 6 Test. Chapter 6 works a lot with anti-substitution and derivatives to solve for equations and expressions. On Monday we continued reviewing section 6.4. Because I was not there last Friday I spent my time learning the rules for exponential growth with anti-derivatives. On Tuesday we did not have school, due to poor weather conditions. This then, moved the Chapter 6 test to Thursday. On Wednesday we continued reviewing and did a table rotations. These table rotations were a great review for the test the next day and even had some challenging complex questions involved that really made you think about the sections. Overall, I thought the test was not too hard except I had some complications with the spiral questions inside. This is something I could work on for the future, are my skills for all the sections. This will become extremely important for my exam preparation for next week. I felt my participation went well this week in group discussions and rotations. I also felt that I struggled a bit at first with the last section on 6.4 because of my absence but soon fell in to place pretty quick. Next week I am guessing we might dive a little into chapter 7 before we take the exam. I found slader.com to be very helpful with my work this week including mathhelp.com.
0 Comments
This week we finished up summarizing 6.1 and dove into section 6.4. As you can see we skipped section 6.3 because it is not tested in the AP calculus exam. When we first started working on section 6.4 that dealt with solving anti-derivatives with x and y values in the equation, I thought it was quite simple. However as we worked more with this section the problems started to get more complicated. The reason I thought these problems were complicated was because it included a lot of algebra skills involving expotentionals, like ln and e to be able to solve the equations. In order to help me with the steps in solving down to the solution I found slader to be a big help. Slader, was able to show me a full explanation in simplifying the algebra and trigonometric problems. This section in particular connects well with the rest of the units we have learned because it evolves us to use all our anti-derivative and integrating skills to solve. For example the only difference in section 6.4 than the other sections that dealt with integrating for the anti-derivative is simply that there are two variables. With these two variables you must get the x's and the y's on separate sides and then derive it after that, so the dx variable gets cancelled out. Next week I believe we will be reviewing more for chapter 6 before we take the test and jump into Chapter 7. For next week, I need to get more comfortable with solving problems that deal with ln or e. Overall, I thought my participation went well this week in the CCC groups even though I was absent on today, this Friday.
These were some websites that helped me: https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/logdiffdirectory/LogDiff.html http://www.chem.tamu.edu/class/fyp/mathrev/mr-log.html This week we started working on Chapter 6. We learned section 6.2 first that dealt with anti-differentiation by substitution and started the beginning of section 6.1 that dealt with differential equalities with slope fields. These first two sections are crucial in in calculus because it describes the solving techniques with anti-differentiation for indefinite integrals. Indefinite integrals are simply all the anti-derivatives of a function. This can be described as a family of functions, which would be explained as the same F(x) term however just a different constant of integration in other words, the C value would only change. These sections refreshed my memory on u-substitution we learned in the first trimester. When I first learned the rules to u-substitution I was fairly confused. However when I relearned/refreshed my memory this time around it "clicked" faster and I was able to successfully go through the process and solve the problem a lot faster than when I did it in the first trimester. This realization reminded me in the importance each section I learn in this class plays. Each section or chapter I learn is a building block and will come back again in calculus including the AP assessment. Therefore it is important for me to focus on understanding ALL concepts in this class so I will be able to stay successful in this calculus course. I felt I understood these two sections fairly well this week. Overall I thought they were quite simple once you were able to get the process down. However, in some of the more complex problems in section 6.2 I got a little thrown off at. When there became more complexity involved in solving the solution it became more difficult to identify the u substitution value. However, I was able to have access to slader.com that was able to help me find this value when I came across a stump. Overall I felt my participation went well this week because I was engaged in the CCC conversations and made sure to fill out the logs when available. https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/usubdirectory/USubstitution.html |