Welcome to Mrs. Young's calculus class blog! Each week, I will start a new post. Students, you can write questions for me or chat with each other about how to solve a particular problem. As part of your class participation grade each week, every student must comment at least once to my post or another student's comment. I look forward to spending this year with you. Enjoy!
Sunday, January 27, 2013
January 28th - February 1st
Welcome to week 4 of the 3rd quarter. Remember there is a chapter 5 test on Monday and Wednesday. Most of you will be gone on Tuesday. We will start chapter 6 this week and we will learn about indefinite integrals and differential equations. For this week's post, I'd like you to describe one major thing that you have learned in chapter 5 and why you believe it is important.
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One major thing that I have learned in chapter 5 is fundamental theorem of Calculus. It helps finding the area under functions. It is much easy and correct to find than estimaing the area under curves and Trapezoidal Rule.
ReplyDeleteIn chapter five I think that learning how to evaluate integrals in general is very useful. I have never worked with integrals before and to be able to find the area under the curve based on formulas is extremely convenient!
ReplyDeleteIn chapter five I think the most important thing I learned was the Fundamental Theorem of Calculus. I feel this was the most important because it can find the exact area under the curve when the slope is not constant and you do not have a graph/ calculator to figure it out.
ReplyDeleteThe major thing in chapter 5 is that I can solve integrals. I learned how to solve that by finding the area under the curve. It was hard to understand integral to me, but I think I understand well now.
ReplyDeleteOne major thing that I've learned in Chapter 5 is how to find the exact area under a curve that is not a geometric shape. This is important because it allows you to calculate important data such as distance traveled if given a velocity-time graph that is not a geometrical shape.
ReplyDeleteI learned the fundamental theorem of calculus. This helps find the exact area under a curve and is easier and more exact than using rram, lram, mram, or the trapezoidal rule.
ReplyDeleteone thing i learned is the fundamental theorem of calculus. you can find the area under the curve with this and you don't even have to use a calculator! it seems like this is a base of integral calculus and i think i will be able to apply it in future things that i learn in calculus.
ReplyDeleteOne important thing that I have learned this chapter is finding the area under a curve. This is useful for finding distance traveled and also, I found it is applicable in physics class also when needing to find the are under the curve, but instead applying it to force. This is extremely applicable for the real world and to physics.
ReplyDeleteIn this chapter, I learned the Fundamental Theorem of Calculus. This is important because now i can evaluate the exact area under any curve without a calculator or by estimating with a graph. Knowing the area under the curve is specifically helpful for finding things such as distance.
ReplyDeleteI learned the Fundamental Theorem of Calculus, which is important for finding the integral (the net area between the curve and x-axis) of a function without a calculator. I also learned how to estimate the integral using LRAM, RRAM, MRAM, and trapezoids, but these are not exact and take more time to set up.
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