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Mr. Sjol Calculus
United States
เข้าร่วมเมื่อ 14 พ.ย. 2017
Mr. Sjol
I have been an AP Calculus teacher since about 2010. When you are my age, you will lose track of time too. Our students are pretty successful, 92-95 percent of my students pass the AB test each year. 50-55 percent pass with a 5, about 30 percent with a 4 and 5-10 percent pass with a 3. I will not present the easy way, but the in depth knowledge that has helped my students be successful over the past many year.
This channel is a place that I upload lessons and work to help my students in class. If it helps you too, great.
I have been an AP Calculus teacher since about 2010. When you are my age, you will lose track of time too. Our students are pretty successful, 92-95 percent of my students pass the AB test each year. 50-55 percent pass with a 5, about 30 percent with a 4 and 5-10 percent pass with a 3. I will not present the easy way, but the in depth knowledge that has helped my students be successful over the past many year.
This channel is a place that I upload lessons and work to help my students in class. If it helps you too, great.
AP Night 2024
Thinking about signing up for AP Calculus AB for the 2025-26 school year? Here is some information for students and parents.
มุมมอง: 92
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3.7 L Hopitals Rule (L'Hospital's Rule)
มุมมอง 2821 วันที่ผ่านมา
Sometimes you can use derivatives to rearrange particular limits in order to more easily evaluate them. I will show you when to use L'Hopital's Rule as well as the prerequisites that you need to check prior to using L'Hopital's rule according to College Board.
4.0 Sigma Notation
มุมมอง 8121 วันที่ผ่านมา
We will need to translate back and forth between sums and Sigma notation. If you are a bit rusty, check this out before we get to Riemann Sums in 4.2.
4.1 Generalizing to More Rectangles
มุมมอง 2621 วันที่ผ่านมา
Once you can create left, right, and midpoint rectangles to approximate area under a curve, we can begin to make formulas for any number of rectangles. We will need these formulas soon to apply limits to Riemann Sums in order to create definite integrals. In this video you will learn how these formulas are created. This way you don't really have to memorize anything; you can just think about ho...
3.6 Optimization HW 2
มุมมอง 3221 วันที่ผ่านมา
Homework walkthrough and talkthrough. I only had time to do the first 2 problems, I hope that helps a least a little
1.5 Algebraic Limits
มุมมอง 45หลายเดือนก่อน
Once you know the definition of continuity, you can use that definition to avoid doing certain limits. Or, at least you can get the limit without going through the limiting process (numeical limit). You do need to make sure that you are thinking about limits though, otherwise it will feel like you are just doing algebra.
3 5 Differentials
มุมมอง 50หลายเดือนก่อน
Differentials approximate change. We are really just doing linear approximation, though it may not feel like that.
3.3 Concavity
มุมมอง 47หลายเดือนก่อน
The rate of change of the slope of a graph is called the concavity. Finding and justifying intervals where a graph is concave up or concave down is pretty darn similar to the first derivative test. You should also know what concave up and concave down look like and how that definition is actually a reference to the relationship of the graph to its tangent lines.
3.3 First Derivative Test
มุมมอง 29หลายเดือนก่อน
If you have a function that is not continuous on a closed interval, the best way to find and justify a local maximum or minimum is the first derivative test. You will need to find critcal value and make a sign chart; then you need to explain what you see in that sign chart.
3.2 Increasing on an Interval
มุมมอง 782 หลายเดือนก่อน
A huge consequence of the Mean Value Theorem is that the sign of a derivative indicates whether a function is increasing or decreasing (on an interval). You need to know how to make a sign chart and write a precise conclusion. There is an additional example in a separate video: th-cam.com/video/P0_N9mK9rzQ/w-d-xo.html
3.2 HW Mean Value 1
มุมมอง 562 หลายเดือนก่อน
I figured that I would do problems other than provided in the solution guide, since you all said I should not have all problems done for you...
2.10 Exponential and Logarithmic Derivatives 2
มุมมอง 403 หลายเดือนก่อน
2.10 Exponential and Logarithmic Derivatives 2
i find it useful, thanks
I'm trying to calculate an exponential equation using the regression calculator and this doesn't solve my problem.
I thought you were a time traveler that had Geometry Dash 2.5 installed and showed us the particles lmao. Anyways, this sounds cool, i'll watch it after i wake up :D
Waw
Thank you, Mr. Sjol! Look forward to great year of learning!
First
First
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At about 6:12, you wrote (1/4) ln(4) instead of (1/4) + ln(4) and it messed up the rest of the problem. The global maximum should’ve occurred at x=4 and the global minimum should’ve occurred at x=1.
Very informative, thank you
thank you mr sjol these videos are really helpful
Good catch, I must not have read the instructions. Thanks for the assistance
If we’re going along in the homework shouldn’t number 4 , 11 and 15 be dy/dx
Thank you
Could you make a video going over the derivative of an inverse sine function?
I already did, but didn't like it. I'll revise and post soon.
Here is some background information on inverse sine. th-cam.com/video/oVp-rgISIV8/w-d-xo.html