You CAN Ace Calculus
Single Variable Calculus
|Area Under Curves|
|Conics in Polar Form|
|Continuity & Discontinuities|
|Convolution, Laplace Transforms|
|Cylinder-Shell Method - Volume Integrals|
|Direct Comparison Test|
|Divergence (nth-Term) Test|
|Ellipses (Rectangular Conics)|
|Epsilon-Delta Limit Definition|
|First Derivative Test|
|Formal Limit Definition|
|Higher Order Derivatives|
|Hyperbolas (Rectangular Conics)|
|Infinite Series Table|
|Infinite Series Study Techniques|
|Infinite Series, Choosing a Test|
|Infinite Series Exam Preparation|
|Infinite Series Exam A|
|Initial Value Problems, Laplace Transforms|
|Integration by Partial Fractions|
|Integration By Parts|
|Integration By Substitution|
|Intermediate Value Theorem|
|Interval of Convergence|
|Inverse Function Derivatives|
|Inverse Hyperbolic Derivatives|
|Inverse Trig Derivatives|
|Limit Comparison Test|
|Moments, Center of Mass|
|Mean Value Theorem|
|Parabolas (Rectangular Conics)|
|Parabolas (Polar Conics)|
|Plane Regions, Describing|
|Radius of Convergence|
|Related Rates Areas|
|Related Rates Distances|
|Related Rates Volumes|
|Remainder & Error Bounds|
|Second Derivative Test|
|Slope and Tangent Lines|
|Arc Length (Vector Functions)|
|Arc Length Function|
|Arc Length Parameter|
|Conservative Vector Fields|
|Divergence (Vector Fields)|
|Double Integrals - Area & Volume|
|Double Integrals - Polar Coordinates|
|Double Integrals - Rectangular|
|Principal Unit Normal Vector|
|Triple Integrals - Cylindrical|
|Triple Integrals - Rectangular|
|Triple Integrals - Spherical|
|Boundary Value Problems|
|Classify Differential Equations|
|Existence and Uniqueness|
|First Order, Linear|
|Integrating Factors, Exact|
|Integrating Factors, Linear|
|Laplace Transforms, Solve Initial Value Problems|
|Linear, First Order|
|Linear, Second Order|
|Partial Differential Equations|
|Reduction of Order|
Do you have a practice problem number but do not know on which page it is found? If so, enter the number below and click 'page' to go to the page on which it is found or click 'practice' to be taken to the practice problem.
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17calculus > about
17calculus is intended to help you learn calculus so that you can work problems on your own, do well in your course on your own and, later on, use calculus in your discipline on your own. Please do not use this site to cheat or to avoid doing your own work. What you do in private eventually comes to light and determines what kind of person you are in public. Choose now to be a person of integrity and discipline.
This site is intended to supplement your calculus learning by explaining concepts, giving examples and providing practice problems to help you better understand calculus concepts. Calculus is not easy. But you CAN ace calculus with the right tools and persistence.
There are two main types of calculus taught at the college level based on a student's major or emphasis. Business calculus is usually geared toward business, life sciences and other majors that do not use calculus a lot but need some exposure to the subject. Math and engineering calculus is for students in mathematics, engineering, physics, chemistry and other majors where calculus is a critical part of their subject. This site is geared toward students in this category who need to know, understand and use calculus. Business calculus students can get a lot out of this site too but we emphasize understanding concepts and how the math works at a deep level, not just how to use the equations.
There are a lot and I mean a LOT of calculus videos out there, both on individual sites and on YouTube. However, many of them show bad or downright incorrect techniques. Some teach you how to work problems by getting around what you need to learn rather than helping you understand and learn the concepts correctly. We have chosen the best videos to post on this site that follow these standards:
1. show good accurate techniques
2. use mostly correct notation
3. help you understand and use calculus (the most important criterion)
4. the presenter must speak clearly without a heavy accent
5. the presenter writes out his work rather than using all prepared slides (like PowerPoint)
Of course, there are exceptions to these rules (except for #3) but they are rare.
We want to make it clear that we don't necessarily agree with everything in all the videos on this site. But for now the ones we've chosen are the best we've seen.
Here are the instructors in the videos that we especially recommend, called our featured instructors.
Here at 17calculus.com, we have combed through lots of videos on youtube and found the best instructors who use the best notation, are easy to listen to and who communicate calculus clearly and correctly. There are four that we think will help you the most. [At this time, we do not record our own videos, since we don't think we could do any better than these instructors.]
Note - - These rankings and comments are our opinions only. It is okay to disagree with us as long as you learn calculus.
Dr Chris Tisdell [ link to website ]
Rank 1 - Always watch these videos on every topic
Theory: Some but only enough to make the topic clear without distracting from how to use the information
Examples: Very good, ranging from moderate to challenging with a few easy ones here and there
Level: All levels including upper level topics like differential equations
This guy is fun to listen to and I wish I had taken calculus and differential equations from him. He has a good sense of humor and a neat accent but it is still very easy to understand him. He is an instructor at a school in Australia. He communicates very well and his theory supports his calculus without being too heavy. He communicates well and is an excellent teacher. He has some materials on his website, as well as links to his materials on other sites that you can download and use as you watch his videos.
Professor Leonard [ link to his youtube channel ]
Rank 2 - Watch these videos on every topic, if you have time
Notation: Very Good
Accuracy: Very Good
Examples: Very good, ranging from easy to moderate
Level: All calculus levels
We were recently alerted to this guy on youtube and we think his videos will help you. His videos are full-length class videos from his teaching at Merced College. He explains concepts well and it seems like you are in his class when you watch his videos. He seems to be a fun teacher and makes it easy to watch his videos.
PatrickJMT [ link to website ]
Rank 3 - Watch as many of these as you have time for
Notation: Very Good
Accuracy: Very Good
Theory: Little to none; mostly before working practice problems
Examples: Very good ranging from easy to moderate
Level: Most single variable and multi-variable calculus topics with some differential equations
This guy is very good at explaining topics and he is thorough and meticulous. He doesn't give as much theory as Dr Tisdell but he shows good examples and is easy to listen to. He teaches (or has taught) at several schools, so he has experience in the classroom which is important in anticipating problems you might have with certain techniques. He has some neat ways of looking at problems and has lots of suggestions on how to work problems. He has some materials to download on various sites that you can use.
Krista King Math [ link to website ]
Rank 4 - Watch these if you need more examples
Theory: Little to none; mostly within the context of practice problems
Examples: Good, mostly easy ones with a few moderate ones
Level: Mostly single variable with some multi-variable calculus and differential equations
This gal is easy to listen to and she explains things well. She also has some good examples, mostly easy ones to get you started. She seems to have a good grasp on what problems students have with certain topics. We think she has most of her experience from being a student and tutoring, which is good, since she knows what you are going through right now. In general, she is very good and we highly recommend that you watch her videos. She has some tables and materials on her website that you can use.
Make sure you watch all videos with a critical eye. As with any instructor, there are errors and notation mistakes. We try to include comments with the videos when we catch a mistake but we do not mention all of them. You need to be able to see when they make mistakes. Do this in class too. Your instructor is not perfect, no one is. If you can pick up mistakes, that is an indication that you are starting to understand calculus.
You will find videos from other instructors as well. However, we usually include them only if they will help you understand something better or if they give a different perspective other than is given by the instructors listed above.
MIT - - One of other favorite video sources is MIT OpenCourseWare. They are great videos and you will find some pages with those videos. They are longer videos with LOTS of theory. They are very good but it is better to get most of your learning from your classes and your textbook. We have included them so that you have a way to learn more theory. Watch them when you have time.
MIP4U - - This stands for Math Is Power For You. We kind of like that name. He has some good videos that we include if we don't have enough from our featured instructors. He has some good examples and he explains things well and has some good insight. So we have included some of his videos to supplement discussion and practice problems.
Most other videos are not very good. They show you how to get around learning calculus, have poor notation or bad suggestions, the presenter has a heavy accent and, therefore, is difficult to understand or they work the problems incorrectly. (No one is perfect, so you need to watch all videos, including ones we recommend, for mistakes.)