How do you model population growth? Can we measure radioactive decay? Is there a way to measure interest rates?
In fact, there are countless real-world phenomena that can be modeled by functions that describe how things are growing or decaying over time, such as population, bacterial, radioactive substances, viruses, temperature, and more.
So how do we measure these changes?
Exponential Growth and Decay, is calculated with one useful formula and is derived using our knowledge of Separable Differential Equation.
And sometimes this formula is called the Law of Natural Growth or the Law of Natural Decay.
In general, we will be looking specifically at questions were the rate of change, either growth or decay, is proportional to its size.
As the Math Bits Notebook nicely points out, any quantity that grows or decays by a fixed percent at regular intervals is said to possess exponential growth or exponential decay.
Together, we will learn to recognize these types of functions, and be able to utilize our one simple formula to solve such a differential equation.
Additionally, we will find the three given conditions needed to plug into our one simple formula, and use our techniques to solve five different exponential growth and decay problems.
Exponential Growth and Decay Video
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This program is saving me from me lazy professor, I learned in a few days what I was struggling for weeks to understand!
Absolutely amazing. Highly recommend! As a physics major and someone who had to take a ton of math classes, calcworkshop saved my a** so many times, especially when my professors were not great at lecturing.
I just started Calc Workshop and so far it's been very helpful. Jenn makes math look easy. She covers learning concepts very though. Looking forward to the journey.
I love math but sometimes it gets difficult for me to understand teachers that have unique teaching styles, however when I got that YouTube ad, and discovered this website. I was happier than ever because she gives such clear and detailed explanations and I can understand!
I really felt that the lectures and notes were all super helpful. I wished that there were practice problems that has difficulty levels and have videos to help answer each of them.
My only problem with Calc Workshop was that I ended up buying it too late in the semester! Jenn's videos are super great, and all of the practice problems definitely helped me more than I thought it would. The next time I sign up for a math class, I'm signing up for Calc Workshop again, too!!
Very helpful and nicely paced. Definitely turned my failing stats grade to passing
Best math videos out there without a doubt! thanks for helping me in several courses throughout college.
This website has everything you need to succeed in school. Jenn is a terrific teacher, she breaks down everything in a way that even without a solid mathematical foundation, you would be able to understand!
I only wish I have signed up sooner. The way in which the instructions are provided are perfect. I was struggling with my work, with having school tutor. But the way she explains things are such that makes sense. Additionally the workshop exercises are an additional resource. Certainly recommend the site! Thanks.
I have only had it for a few weeks now but it has been very very helpful in getting me back up to where my other classmates stand in my pre calculus class thank you very much!
Calcworkshop is an outstanding source to learn math and understanding math concepts. Jenn is an outstanding master teacher. Every lesson is clearly presented making understanding easy to grasp. Practice lessons with accompanying answers are given for each section. I am 82, a retired teacher and lifelong learner. Learning calculus has always been on my bucket list. Calcworkshop is helping me reach my goal.
Calc workshop is the absolutely best resource for math and I have seen almost everything that exists out there. I have even recommended it to my daughter's school so that all the kids could use the videos during the summer months for the subject they plan to study in the fall. They are guaranteed to get a A if they have watched the videos and completed the problems before taking the class. Students who are weak in areas can access lower level classes and those who seek to advance above grade level can do so. The videos and exercises are crystal clear and the excellent presentations raise the bar for teachers everywhere. I have always believed that one great math teacher is important in the education process. The videos, exercises and problems are excellent. It is not possible to have ANY knowledge gaps. I have never seen anything on the market that even begins to compete with it!
Calc workshop is amazing. Jenn goes a great job of breaking down everything into bite-sized pieces. She's the reason that I passed Calculus II and graduated. My only regret is that I didn't find this earlier in my college career.
Calculus can be a scary subject. I know I was scared. I had been out of any math class for over 23 years. I had taken an 8 week Calculus 1 class and felt like I was overloaded. Going into Calculus 2 I found CALCWORKSHOP.com. I used the training videos and material to really dive back into Calc 1 and prepare for Calc 2. Long story short with the material provided and ample study time, I finished Calc 2 with a 95%. Thanks Jenn!
Jenn's videos were life changing for me and my journey through Calculus 1-4 and linear algebra. I wish I would have found her videos earlier. I always struggled with math until I watched her videos. I don't know if I would have made it through all my college math classes with out her helpful videos!
Amazing, Calc workshop helped me pass Calc 1 and 2 in college.
Great site! Phenomenal understanding of high level math and how to teach it.
calcworkshop.com has been a phenomenal experience! Difficult subject matter is explained clearly and I felt I learned it better than in class.
I decided to subscribe about 12 weeks into the 16 week Calculus I class. So far it has helped tremendously. I wish I had signed up at week 1. I look forward to learning with Jenn and the Calcworkshop for future classes.Thank you, Jenn!Regards,Frank
CalcWorkshop was a wonderful resource as someone going onto a college calculus 1 class after not having taken a math course in a year! Jenn always explained things in a logical order that built upon previous lessons, and the way she explained topics was always easy to understand. Calcworkshop saved this semester for me, and I couldn't be more grateful to have found this site. :)
Anyone struggling with math at any level would greatly benefit from this product. I signed up for it immediately after getting a D on my first exam in calculus 2 and ended up getting A's and B's on the remaining exams, getting a B overall in the class. Jenn breaks down the topics, without skipping any steps, in a way that makes them very easy to understand. I highly recommend this product!
Amazing website. I've passed calculus 2 and 3. I went from barley passing to passing with an A. I didn't need to take my final exam because my grades were good enough.
Great site for (re-) learning mat at any level. Especially good for those that like a "lecture format" and have examples worked as you learn. Perfect level of detail and if something is very familiar, you can just jump ahead.
I truly don't think I would have passed my Calc 1 class if it wasn't for Calc Workshop! Truly one of the best resources to take advantage! Don't wait; start your Calc Workshop journey now and you'll do great!!
I have been using Calcworkshop for a couple of weeks now, and I do like the videos, explainations and the practice so far. I need to put in the time and Jenn at Calcworkshop has the material that I can use to practice with.-David
The only negative about this website is that I subscribe to it 3/4 of the way into my semester when I should've done this at the beginning of the semester she has helped so much and I'm really trying to pass my course as my professor is not really any help!
I'm in school to get my degree Networking and Cybersecurity and I'm in my first year. I've been away from school for quite a long time so the concepts that are being taught although not foreign to me, have so much dust on them from a lack of being used in real world applications regularly.I stumbled upon CalcWorkshop by pure chance and it has been a game changer for me. Jen filled in the gaps in between what my Professor is teaching at a rapid fire pace and where my brain grasps and applies it. If not for Jen's approach, I'd have failed my test I took miserably!Am I grateful? It goes beyond words and not I recommend her workshops to everyone!
I got calc workshop because my teacher wasn't doing a good job of teaching calculus 3 to me, but after months of banging my head against the wall trying to understand my assignments, I finally decided to give calc workshop a try, and it was amazing. I felt like I finally understood what I was supposed to be learning
Very happy with the product!
CalcWorkshop, is truly amazing. You can find almost all of the math courses and everything is explained in detail. You'll also find notes and practice tests for each chapter. I really love it, affordable price and you can cancel anytime. I will definitely recommend friends and family. Thank you, Jenn for sharing your knowledge and skills. Highly appreciated!
I absolutely love Jenn! She is a fantastic teacher!!
So far I have learned more from this that in the thousand dollar lecture I pay for. I like being able to watch these videos first and then try to make sense of what my professor is teaching. The example and practice sheets are awesome because honestly my professor doesn't assign enough homework for me to actually practice and get the hang of things.
Fantastic!!
I had never even heard of discrete math before I had to take it for my Bachelor's in Cybersecurity. I had actually hoped that my math days were done! I suffered through class not understanding any of the presentations until I stumbled across Calcworkshop. I used the Calcworkshop lessons more than I used my instructor's lectures and my book. I ended up with a high B (just 12 points away from an A) thanks to Jenn. Without her easy to understand style of teaching, I'm not sure I would have even passed the class. Thank you so much!!!
Very well structured and site. It is well structured giving a good overview of the different topics regarding all mathematics where you easily can choose which path is applicable to your specific needs.The video lectures are superb with introduction to the topic followed by a detailed theoretically explaination and what I personally get most out of is; heaps of examples where you are taken and shown, step by step, the prosess of solving the problem. They also includd practice sheets and solutions to test yourself after each chapter. There is a lot to undertake on this site, but it provides an easy and understandable interface to map out what you need to do. The site has been very helpfull for me and I highly recommend it.
I am taking this course for mainly linear algebra review. It is a course that I have had but fairly long ago. I'm currently working in masters in data science and linear algebra namely transformations is something that has come up and I thought I need a good review on. I so far what I have liked about the course is, the common sense approach. Her approach makes it easy to remember the concepts because of her common sense approach. I like the fact that she gives information that is not really in any textbooks. I can vouch for that because not only have I used textbook recently to review I have had a formal class in the past that used textbooks. She goes over things thoroughly and for the price it's very much worth it. I have had many quarters of formal calculus and differential equations courses and I am kind of anxious to look to see what her approach to calculus is. I can't really answer how this class would be for a novice or someone who has not had linear algebra the past, but I really don't think they need to worry about that. Her method I feel will make a novice be successful and to understand the material. She is very easy to understand. Gives good examples but doesn't beat a dead horse either. What I like about her introductory remarks is that she says what linear algebra is all about and she points out what the core of the linear algebra is about and what you need to know. Having taken it before I would have to agree and she is dead on spot.
The instructor is very clear and reviews concepts to refresh ideas that may have been confusing or difficult to understand at the right pace. I found the videos very helpful and clear. I would recommend.
Everything was explained so well. It was easy to follow along and understand.
Its been super helpful and goes in depth and explains it so well even a 5th grader could understand it.
I appreciate that all work is shown so that I am not confused on how to get from one step to another.
I haven't used it much but so far it's been a great experience
The material for calculus has been extremely thoroughly and helpful. She explains it better than my instructor! I've even been able to refresh on concepts from the past to fill in holes from other years and semesters. I finally feel like I can actually take my Calculus class without failing!
Great! Videos are very easy to understand as everything is explained in depth. And if you have any extra questions they get back to you on the same day which is really appreciated as well.
I have enjoyed many classes in mathematics during my 60 years, but Jenn at CalcWorkshop truly stands out to me as my most refreshing and effective math instructor. Jenn shares her deep understanding in mathematics with impeccable course planning, crystal clear / energetic explanations, and interesting examples. For me, Jenn makes mathematics enjoyable and memorable.
Calc Workshop has been a lifesaver for us. With a tight schedule of extracurricular activities, we had no time to fit in tutoring. I found this gem of a website, and my son said the teaching is very thorough and easy to grasp. He was able to keep up with his class modules using this. What's even more impressive is that if you can't find the topic, Jenn allows you to email her and she directs you to the correct lesson (she's quick to respond). This is important because before the workshop, my son wasted so much time trying to google videos of the correct lessons that he needs. Love CalcWorkshop and highly recommend it to anyone going through the same conflicts as we were!
I'm an EE major with a poor high school foundation in math because I dropped out. Jenn got me through Calc I,II,III, and Applied Linear Algebra. I'll be returning next semester for help with Differential Equations. Highly recommended if you need a more in depth experience than just having symbols from the textbook spouted at you without explanation. Jenn even briefly reviews during new material and how it and new material are connected "Remember when we...?" It's great for information recall.
I was struggling very bad in my business calc class, I had been looking up videos on YouTube because I needed help not understanding what my professor was telling me. I immediately felt better, she explains everything so well, and I know exactly what I'm doing now. Thank you Jenn!
The lessons are beneficial and thorough.
I used the workshop as refresher material before the start of the next semester after an extended break from math. It really helped me get back into the math mindset as well as fortify the foundation that i am now building upon in the current semester.
This program is saving me from me lazy professor, I learned in a few days what I was struggling for weeks to understand!
Absolutely amazing. Highly recommend! As a physics major and someone who had to take a ton of math classes, calcworkshop saved my a** so many times, especially when my professors were not great at lecturing.
I just started Calc Workshop and so far it's been very helpful. Jenn makes math look easy. She covers learning concepts very though. Looking forward to the journey.
I love math but sometimes it gets difficult for me to understand teachers that have unique teaching styles, however when I got that YouTube ad, and discovered this website. I was happier than ever because she gives such clear and detailed explanations and I can understand!
I really felt that the lectures and notes were all super helpful. I wished that there were practice problems that has difficulty levels and have videos to help answer each of them.
My only problem with Calc Workshop was that I ended up buying it too late in the semester! Jenn's videos are super great, and all of the practice problems definitely helped me more than I thought it would. The next time I sign up for a math class, I'm signing up for Calc Workshop again, too!!
Very helpful and nicely paced. Definitely turned my failing stats grade to passing
Best math videos out there without a doubt! thanks for helping me in several courses throughout college.
This website has everything you need to succeed in school. Jenn is a terrific teacher, she breaks down everything in a way that even without a solid mathematical foundation, you would be able to understand!
I only wish I have signed up sooner. The way in which the instructions are provided are perfect. I was struggling with my work, with having school tutor. But the way she explains things are such that makes sense. Additionally the workshop exercises are an additional resource. Certainly recommend the site! Thanks.