Volver a Introduction to Calculus

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The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key threshold concepts in foundational mathematics.
Students taking Introduction to Calculus will:
• gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks),
• develop fluency with the preliminary methodology of tangents and limits, and the definition of a derivative (third week),
• develop and practice methods of differential calculus with applications (fourth week),
• develop and practice methods of the integral calculus (fifth week)....

May 16, 2020

This course was great and very well explained; it has given me a solid understanding of calculus as well as the tools needed to differentiate, find integrals, etc. I highly recommend this course.

Apr 03, 2020

Amazing Explanations..... I love how the course is sequenced and it provides not only the mechanical solutions to calculus but also the theories behind each module and topics... Great Course

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por Rafael P R

•Feb 19, 2019

Excellent and interesting course

por ADAM G

•Nov 27, 2019

This is an excellent course guided by a passionate and responsive instructor. The course incorporates the best of online learning - explanatory videos, written lecture notes with examples, and live discussion forums where real students are asking questions and receiving replies in a timely manner. Kudos to the professor and to Coursera, hopefully you can retain this course for a very long time. A few points of improvement if I may. I took this course as a refresher for previously haven taken calculus about three years ago. There is no companion textbook, which I would have found invaluable. I also wish that there were even more examples of worked/solved problems to draw from. I believe that an inherent problem with math instruction is that through the use of symbology (by necessity), the student is expected to learn and understand all parts of written notes. Instead, I strongly believe that plain language explanations of in conjunction with traditional lectures notes are most valuable. If you do not understand a single portion of a problem, you are left (as I have been) at great length to try to find a comparable problem to digest what is occurring. Lastly, I would suggest cultivating companion videos for the lectures from open sources such as Youtube that students could view in conjunction with each module. Despite the very best of intentions and efforts, the video lectures move very fast and at times, I think there are clearer examples available elsewhere. Often times the Khan Academy style of working through a problem while explaining it would be a great adjunct to the content here. Again, I thank the Professor for his kindness and passion for math. Well done!

por bella w

•Dec 17, 2019

wish they did practice questions with an example of how they found the answer.

por Timothy S

•May 28, 2020

18 years ago, I failed grade 9 math with a 23%. Today, I passed Introduction to Calculus on Coursera, which is offered through the University of Sydney and taught by Professor David Easdown.

I wish I could say that I actually enjoyed the course, but I feel like that would be doing a disservice to the version of myself that has been pulling his hair out for the past 5 weeks. Indeed, if I’ve learned anything during this process, I’ve learned that Calculus is hard. Very hard.

I will say, though, that this is in no way meant as a slight against Professor Easdown and the style of the course. Quite the contrary; Professor Easdown is an incredibly engaging teacher and manages to make this very difficult subject digestible. And while I wouldn’t say at this point that I can ‘do calculus’, I would say that the course was very, very rewarding and that it certainly provided a cohesive overview of the pertinent topics in the field, as well equipping the learner with a thorough understanding of the symbols, language, and relevance. The notes that accompanied the lectures were very valuable and helped fill in the gaps, and the structure of the course was very smooth as you transitioned from one topic to the next.

I took this course because I have been rolling through some courses in Artificial Intelligence and simply found that I was out of my depth and simply coding along without any idea of what I was actually doing. And while memorizing algorithms and formulas has its benefits, I decided that I want to fully understand this field – and I don’t think that one can do this properly without a fundamental understanding of Calculus. This course provides just that.

The practice quizzes were more than a little challenging (with the last couple of questions usually very, very challenging). I found that I often had to supplement the course with alternative resources, such as Youtube, Khan Academy, Symbolab, and so on. I had to re-watch lectures and thoroughly dissect the reading notes. As I mentioned, it was a very difficult process that had me pulling my hair out and I’m a bit ashamed to say that I nearly threw my laptop on several occasions. However, as it is with learning any new skill, you just have to keep pushing through knowing that it will be worth it in the end.

Then you get to a module exam, and at this point you realize how you’ve learned so very much in such a small amount of time. It’s honestly incredible. And by the time you get to the very end of the course, which I did today, you realize that you somehow have all the prerequisite knowledge to step by step make sense of equations that might as well have been written in a different language just a month ago. I don’t feel like I can describe that particular feeling.

In all, this course was one of the more rewarding things that I’ve done in recent memory, and I’m so very grateful to Professor Easdown for putting it out there and making such a thorough overview of the topic so accessible to anyone with the interest to pursue it. I coupled this with 1blue3brown’s series The Essence of Calculus on Youtube, and between these two I feel like for the first time in my life I have a true appreciation for the art of mathematics and I’m very eager and inspired to carry on with my studies in this field. Thank you so very much.

Jack

por Giulia B

•Apr 07, 2020

This course is great, I very much recommend anyone taking it! I took this course after almost six years since my last math course at the end of high school. At that time, I was very happy that I would not have to deal with mathematics ever again. But professor Easdown opened a new world for me. He made me appreciate that math is a fresh and alive discipline that can be understood if you find the right tools and work with persistence. His explanations are extremely clear, making students understand and appreciate mathematical concepts, and not only to mechanically apply formulas.

He provides great lecture notes and readings which cover the topics explained in the videos, sometimes with deeper explanations and proofs. In the notes, there are also examples of exercises, which are very helpful for successfully completing the quizzes accompanying each module.

The discussion forum is a great learning place. There are many interesting questions posed by peers and you can post your questions there too. The professor is very active and very kindly replies to any query in a very timely manner.

This course is amazing. I very much recommend it to everyone, especially if you think math is a dry and useless subject that can't be understood, this course will make you change your mind!

por Sesinam d Y

•Aug 17, 2019

Took this course as a refresher since it has been a few years since I bothered with calculus and pretty much forgot most things. This course really doesn’t assume too much pre-calculus knowledge and instead contains a pre-calculus refresher that lays the groundwork for the calculus in later modules.

Although a few times I needed to pause the video lectures to give myself enough time to understand the logic in later modules, overall the video lectures were presented in a straight-forward and engaging manner. David Easdown communicated concepts concisely and his way of speaking and enthusiasm for math helped keep me engaged with the video lectures. The readings are also well put together and allow you to go over video material (plus more for certain lessons) at your own pace. Practice problems were mostly easily although a few could be a bit more challenging (but not too much). As much as I would have liked a few more challenging problems, it is an introductory course, so the current question difficulty makes sense to me.

Overall, If anyone is looking for a well-put together introduction to calculus course (even as a refresher), I would highly recommend this course.

por Andrew M

•Apr 10, 2020

This is the best course on this platform, and perhaps the entire internet.

It's very hard to be enthusiastic and passionate over a video lecture, but instructor Professor Easdown excels in this area and learners will fine the lectures very engaging. Everything is explained from the ground up, and it is clear that the course aims to provide a thorough and fundamental understanding of the topic, rather than simply learning by rote or procedure. If something isn't explained fully, we are told why (usually due to complexity) and are told where to look if we wish to find out more.

The assessments are perfectly structured and strike the balance between challenging and accessible. If there is any trouble, Professor Easdown is very active in the Discussion Forums and provides excellent guides to any difficult problems.

This course is substantial, but not overwhelming. I found myself doing around an hour a day on average. You really do feel like you're learning something to a significant degree, but you are not forced to make sacrifices to find time to learn.

Overall, an excellent course that avoids all the usual MOOC pitfalls.

por Diego R G

•Jun 04, 2019

Excellent course! I learned so much in such a short amount of time. It's an excellent introduction to calculus and a good way to increase your mathematical skills. The lectures are great and the readings allow you to get all the information at your own pace and are a good way to get familiar with proper mathematical language and notation without being hard to read (if you have paid attention!). The quizzes and exercises are challenging enough to make you think and feel rewarded for being able to solve them, but not enough to make you want to quit them (in fact, I had a lot of fun doing them!). My advice to other people that want to take the course is not to rush it and to do all readings and exercises (try to get a perfect score in all the exercises and to understand all the questions before attempting each week's quiz). I am grateful to the University of Sidney and to professor David Easdown for making a calculus course of such high quality accessible to everyone. I feel more confident in my math skills and ready to keep learning more advanced stuff

por Phil

•Apr 12, 2020

This is a very well-crafted course that builds in a very systematic way. The algebra also builds in complexity. The quiz's are challenging and prepare you well for the module assessments. The notes are well written and will serve as good references for me in the future. The delivery of the content is done with enthusiasm, clear mastery of the subject and clear diagrams and explanations of the key concepts. Thank you very much for a beautifully crafted course, I wish I had understood Calculus this well when I was in high school. Highly recommend the course. However, for me, I found I needed to spend much longer that what is estimated in order to fully grasp some of the more difficult quiz questions. The notes and the forums do fill in the gaps when you get stuck. I feel an enormous sense of achievement and confidence in the subject. Thanks Prof!

por Brian A

•Feb 03, 2020

This course was a ton of work and took me a lot longer than 5 weeks to complete, but I absolutely loved it! The material is presented by a fantastic, well-spoken professor with a contagious enthusiasm for the subject. The well-built user interface includes video instruction with accompanying notes and practice quizzes. The user forum is also super helpful where the professor offered help to students' questions along the way. I found the default deadlines helpful to maintain momentum, but appreciated being able to reset them in order to accomodate demands on my personal time. Altogether, this course is world class and well worth the effort. Thank you, Coursera and Professor Easdown!

por Michael C

•Aug 08, 2019

This course was exceptional as a refresher for someone (me) who hasn't engaged in calculus in over 13 years. Professor Easdown communicated concepts in a straight-forward, easy to understand manner. It shocked me how he introduced so much material, so quickly, so concisely, and so thoroughly. The readings followed and expanded on the videos exceptionally well and will serve me well as reference sheets for the future.

This summer, I attempted 3 other processes to learn Calculus, each leaving me more lost and frustrated than the prior method. I only wish I had found this course earlier! If any seek a good introduction/refresher to Calculus, I recommend this before anything else!

por André H

•Mar 08, 2020

I wanted to review pre-calculus and that's exactly what i found in this course.

David Easdown is a great lecturer and conveys the best attitude towards mathematics possible. It was so much fun to listen to him explain everything. Also he's very active in the forums for this course, answering pretty much any question arising which is great if one has trouble with the exercises for which he has also provided general hints in the forums.

This course was perfect for regaining all the knowledge i learned in school 15 years back. And this over a the course of 10 weeks spending just over 100 hours. (I was going a bit slower on my own terms)

por Adam R

•Feb 10, 2020

I used this course as a refresher (I took calculus ~6 years ago in high school) and it was very effective as such. I prefer written notes to video lectures, so I cannot speak to the quality of the videos, but I found the notes to be concise, effective, and easy to follow. They provided several interesting and informative proofs and derivations that I don't recall learning about originally. I would highly recommend this course to anyone mathematically minded, whether or not they have taken a calculus course before. Many compliments to Prof. Easdown, who was very helpful in the forums.

por Chris A M

•Jan 18, 2020

The lessons were delivered clearly and explained the content thoroughly, delivering both mathematical methodology and history, allowing students to grow and develop an appreciation of the mathematical concepts. The tutor was superb with his teaching methods, and often replies to questions on the forums when a question seems to difficult to overcome.

Would definitely recommend to future students who are new to the concepts behind calculus, as the high quality of the content provided gives clear insights into what-seems-to-be difficult concepts.

por David N

•May 17, 2020

I can not rate this course highly enough. The instructor has this contagious enthusiasm and genuine love for his subject. The accompanying lecture notes are really helpful and the quizzes push you hard. I would love to see a course on more advanced calculus from him. Although being an introductory course, it does not shy away from slightly more complex topics and leaves the student with a broad understanding of calculus. These were four very enjoyable weeks and I am now eager to dig deeper into advanced mathematics. Thank you very much!

por Nick C

•Feb 17, 2020

This was a fantastic introductory course to the basic concepts of calculus. Dr. Easdown is an amazing teacher able to distill the most complex of topics into simple and easy-to-understand language. His passion for mathematics is palpable and infectious. I would highly recommend taking this specific course to those looking to get an introduction into calculus or even to those looking for a refresher in topics before more advanced study. It was well worth the effort over the five weeks. Thank you so much, Dr. Easdown!!

por Vikram C J

•Apr 23, 2020

Really thankful for this wonderful course. Prior to this course I never had the confidence over the concepts of calculus. During my school days all I was taught was "How to solve the differential equations, etc." with not even slightest of emphasis put on teaching us what we were actually doing and why we were doing it. This course gave me the understanding that I liked. Guess I'll be one of those now spreading "Math is fun". Thank you Coursera and especially Professor Easdown.

por Imam

•May 18, 2020

This is the best calculus introduction course i've ever seen. The way David Easdown teach was very very good and easy to understand. He mixes history with concept of math so you don't just learn to use calculus techniques, but also understand the history and the concept behind it. Very very recommended for those who seeks an introduction to calculus. Though, a bit understanding of algebra will be helpful. Kudos to University of Sydney and David for making this course free!

por Anantharaman K

•May 14, 2020

The course is excellent on content and its Delivery. Mr. David's, the instructor, enthusiasm and energy is infectious (poor analogy given the time but still an absolute FACT). Covered pretty much the basics and introduction to calculus in a fun way. Content Delivery is awesome and extensive with range of examples. The course is designed like a continuous story, coherent with previous week's modules and his presentation is extraordinary. Please Keep up the good work.

por Kochetova S

•Sep 12, 2019

It was my gretest pleasure to listen to the lectures of Mr. Easdown. I liked Math at school, our teacher was very knowledgable and passionate about the subject. I've met just a couple of such great teachers like him. Mr. Easdown now is one of them. Even though I started this course just to refresh logarithms, I could not resist to finish it and always looked forward to the next lecture. Moreover, I would love to attend another course made by Mr. Easdown!

por Jeffrey M I

•May 04, 2020

David Easdown is one of the best educators I have ever had the privilege to study with. His knowledge of the material is clear, but what is more remarkable is his ability to explain the advanced concepts in a clear and concise manner. Even more impressive and notable is his enthusiam for the subject - he has clear joy in studying the field, and he shares this almost mystical enthusiasm and wonder with his students. Thank you for the experience.

por Gregory S

•Jun 01, 2019

Excellently presented course with a great instructor. David Easdown's enthusiasm for the subject helped keep me motiviated. It does require a lot of work per week to keep up with the suggested schedule of the course, but just keep in mind they are not hard deadlines and your progress is not lost if you do not meet them. If you want a great introduction into one of the most interesting and useful areas in maths, give it a go!

por Mr.K.Kumar

•Apr 26, 2020

Its really wonderful courses and It is very useful to my career.This Course will boost my job. It will help perform better in carrying out my professonal and give me an edge over my competitors. I have to learn different types of ways in this course .Definitely i have to join and learn different types of courses in coursera.I really thank to give an wonderful opportunity to join this course.Thank you very much.

por Leslie R W

•Jul 03, 2019

The professor Dr. David Easdown is the very best Calculus instructor I have ever had! He is an excellent teacher who not only explains the concepts but also discusses the origin and use of the mathematics being developed. He does this is such an engaging style that motivates to not be afraid and jump in and learn more. I would love to take more courses with this professor. I highly recommend!

por Brian U

•Aug 27, 2019

Fantastic! I hadn't taken calculus (or any other math) for over 20 years. But I will be taking Calc II for a data science degree. So I registered in this course as a refresher. It covered all the material my professor recommended that I review in preparation for Calc II. The lectures were interesting and well-timed. The exercises were great practice. And I'm saving the notes as a reference.

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