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Mr. Sjol Calculus
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Добавлен 14 ноя 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.
3.6 Optimization HW 2
Homework walkthrough and talkthrough. I only had time to do the first 2 problems, I hope that helps a least a little
Просмотров: 16
Видео
1.5 Algebraic Limits
Просмотров 43Месяц назад
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
Просмотров 50Месяц назад
Differentials approximate change. We are really just doing linear approximation, though it may not feel like that.
3.3 Concavity
Просмотров 47Месяц назад
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
Просмотров 29Месяц назад
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
Просмотров 78Месяц назад
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: ruclips.net/video/P0_N9mK9rzQ/видео.html
3.2 HW Mean Value 1
Просмотров 56Месяц назад
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...
3.1 HW Extreme Value 2
Просмотров 772 месяца назад
Homework walkthrough and talk through. My digital pen acted up part way through, so you will have to figure out the last few on your own.
3.2 Mean Value Theorem
Просмотров 782 месяца назад
The Mean Value Theorem is more important for its consequences than as a tool. If you need to establish a relationship between an average rate of change and instantaneous rate of change, Mean Value Theorem or Rolle's Theorem are what you need. 00:00 Title 00:17 Objectives 00:49 Mean Value Theorem Definition 04:08 Rolle's Theorem Definition 5:53 Example 1 09:51 Common Error 11:51 Example 2 14:12 ...
3.1 Hw Critical Values
Просмотров 522 месяца назад
Walkthrough and talkthrough. This one is especially boring, but some of you are probably going to need the algebra help.
3.1 Critical Values
Просмотров 482 месяца назад
Critical Values are ones that make a derivative equal to zero or undefined. They are useful because extreme values can only occur at critical values or at endpoints.
2.10 Exponential and Logarithmic Derivatives 2
Просмотров 392 месяца назад
2.10 Exponential and Logarithmic Derivatives 2
2.10 Derivative e^x Part 2 : Practice
Просмотров 102 месяца назад
2.10 Derivative e^x Part 2 : Practice
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!
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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. ruclips.net/video/oVp-rgISIV8/видео.html