Anyone who has taken calculus can tell you that doing integration is the hardest part of the first-year calc sequence. And, if you do not get the concept early it will carry over into all the other courses where you need to be able to do integrals. The farther along you get, the more you are going to be expected to do them quickly.
This set really enforces the basic integration techniques. It starts out by introducing the concepts and the use of rectangles to approximate the area under the curve. Jason does not spend time on things like Simpson's Rule, Euler's Method, and the Midpoint Rule, which you will use in class when you first start learning integrals. So, as I have stated in other reviews of Jason's products do NOT rely on this as a substitute for class and homework. It is a supplement for a reason.
The big concepts Jason touches on in this volume are integrating polynomials, exponential, logarithms, and trig functions. Then he spends a ton of time on integration by substitution. It is the most used integration technique (at least the one that can be done without a computer the easiest) and when you learn how to do it fast, it will save your bacon on a lot of exams. In my differential equations final I was stuck on a problem where I could not figure out how to proceed, then I saw the substitution that I needed to make and was able to finish it off quickly.
The better you get at this material the easier things will be in your advanced math, physics, and engineering classes. Jason gives you lots of examples after introducing the topic and goes step-by-step through how to solve them. That process really helps sharpen your algebra skills as well, because many times the calculus part of the problem is very easy, but the simplifying (which is all algebra) is what takes the longest and offers the most opportunities for mistakes.
If your learning style is conducive to watching recorded lectures, Jason's DVDs are the best non-required investment you can make. I have almost all of his material, and it has helped me as a non-traditional student who was horrible at math when I was younger get straight A's in math. I highly recommend his DVDs.
This set really enforces the basic integration techniques. It starts out by introducing the concepts and the use of rectangles to approximate the area under the curve. Jason does not spend time on things like Simpson's Rule, Euler's Method, and the Midpoint Rule, which you will use in class when you first start learning integrals. So, as I have stated in other reviews of Jason's products do NOT rely on this as a substitute for class and homework. It is a supplement for a reason.
The big concepts Jason touches on in this volume are integrating polynomials, exponential, logarithms, and trig functions. Then he spends a ton of time on integration by substitution. It is the most used integration technique (at least the one that can be done without a computer the easiest) and when you learn how to do it fast, it will save your bacon on a lot of exams. In my differential equations final I was stuck on a problem where I could not figure out how to proceed, then I saw the substitution that I needed to make and was able to finish it off quickly.
The better you get at this material the easier things will be in your advanced math, physics, and engineering classes. Jason gives you lots of examples after introducing the topic and goes step-by-step through how to solve them. That process really helps sharpen your algebra skills as well, because many times the calculus part of the problem is very easy, but the simplifying (which is all algebra) is what takes the longest and offers the most opportunities for mistakes.
If your learning style is conducive to watching recorded lectures, Jason's DVDs are the best non-required investment you can make. I have almost all of his material, and it has helped me as a non-traditional student who was horrible at math when I was younger get straight A's in math. I highly recommend his DVDs.
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