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Best of All-Time Online Course

Precalculus: the Mathematics of Numbers, Functions and Equations

University of Padova via FutureLearn

Overview

Get an introduction to precalculus fundamentals

This course is the first of two precalculus courses from the University of Padova that will provide you with an introduction to the fundamental mathematical skills required to complete your first course in calculus.

You will learn the basic precalculus required for college or undergraduate-level studies, including factoring and division, sets and set operations, reasoning and proofs, functions and graphs, and equations and inequalities.

On this online precalculus course, you will gain the foundation to support further mathematical studies and improve your use of maths in everyday life.

This course is for anyone who wants to brush up on their basic mathematical skills, particularly students in the last year of high school, or at the beginning of undergraduate studies, who intend to take a first course in calculus.

Taught by

Francis Clarke

Reviews

4.8 rating, based on 32 reviews

Start your review of Precalculus: the Mathematics of Numbers, Functions and Equations

  • Anonymous

    Anonymous is taking this course right now.

    I am new to MOOC and am both humbled and honoured that such esteemed professionals would provide a course like this, gratis, to anyone in the world with a computer and access to the internet. The team behind it should be justifiably proud of their efforts;...
  • Mike L.

    Mike completed this course.

    A very well-presented course which lived up to all its claims. The presentations were clear and easy to understand, and the instructors all had an easy-going and personable style (I would especially mention Francis Clark in this regard - a really good teacher). My only problem was that the course required a lot more of my time than I expected, and I had to rush through the final segments in order to finish in time.

    I'm happy to recommend this course to anyone who needs to prepare for a more advanced maths class or who (like me) simply wants to recapture what was learned (and forgotten) long ago. But make sure you have enough time in your schedule to complete all the segments.
  • Anonymous

    Anonymous completed this course.

    Interesting course on Precalculus (Numbers, Functions, Equations and Inequalities) with a focus on depth rather than breadth. Proofs were touched on as well. The format was great as well, there were a few (5-7) concepts for each week's topic. Each concept...
  • Anonymous

    Anonymous completed this course.

    Very important course. It helps you learn and covers all calculus material in a very good way. It taught me alot with a well organized videos and important notes.
  • Anonymous

    Anonymous completed this course.

    The MOOC was incredibly interesting and fun. The activities weren't too difficult but not too easy that they didn't require thinking. The lecturers were some of the best, as they were informative, clear and engaging. Also, the questions in the comments would always be answered. I especially enjoyed the comedy show between the 2 researchers. I would recommend this to anyone that has or is doing their A-levels or equivalent qualifications as a reminder.
  • Anonymous
    Taken this course to refresh my knowledge before getting into Calculus and Algorithms afterwards. It is great, straight to the point. If you are looking for deep understanding it is good to solve all the examples and go along all the practice videos. If you're like me just refreshing already established but slightly blurred knowledge, it will be enough to just go through the lectures. They are very explanatory.
  • Anonymous

    Anonymous completed this course.

    I found the course difficult in some areas especially " Inequalities " and some aspects of

    "Polynomials" I have always liked maths especially the "J operator" (imaginary no's) algebra

    and Cartesian to Polar co-ordinates. Being involved in electronics I found those branches of maths very useful.

    Thank you. John H Robertson
  • Anonymous

    Anonymous completed this course.

    My school work isn't challenging enough for me, so taking this course has really stimulated my brain. I would like a career in mathematics or astrophysics. I'm sure what I've learnt recently will be useful to me in either. Thank you! P.s. the hardest part was inequalities involving absolute values. I will definitely be taking the second precalculus course.
  • Anonymous

    Anonymous completed this course.

    This course takes a lot of time and work, you must have a pretty good base of algebra to start with as you are expected to be able to manipulate difficult equations etc easily....or be really quick at learning! I did not take the tests, however, the exercises and quizzes are really testing.
  • Anonymous

    Anonymous completed this course.

    A very helpful and stimulating course. The explanations are very clear, though the quizzes are challenging. There is a lot of material and working through the examples involves considerable time and paper! There was a good sense of community in the group.
  • Anonymous

    Anonymous completed this course.

    It was a well prepared and presented course. The theory in every topic was well explained and presented with many solved examples and diagrams. In particular, the videos and the downloads were very helpfull for following the course.
  • Anonymous

    Anonymous completed this course.

    I should have known much of this from previous study but found the course quite demanding.

    The expositions were brilliant .The questions set have revealed the gaps in my knowledge and the deficiencies in my approach.

    time for a break?
  • Dna47a

    Dna47a completed this course.

    Wonderful course. The video explanations by Prof. Francis and the exercises solving videos by Prof. Carlo and Prof. Alberto are just too good. Plus the Professors themselves are always active in the forum to help clear all your doubts.
  • Anonymous

    Anonymous completed this course.

    One thing I particularly liked about this course was the use of quizzes and the thorough answers to questions. Also the continuing participation of the educator in the forums.

    And the section on inequalities.
  • Andrew S.

    Andrew completed this course, spending 7 hours a week on it and found the course difficulty to be hard.

    Thank Francis, Alberto, Carlo, Francesco and Valentina so much! I was attracted by "reasoning and proofing" phrase in course description and the result is I filled this gap with new mathematical methods.
  • Anonymous

    Anonymous is taking this course right now.

    Excellent presentation well developed and one's of elite syndicate professional candidated in mathematics scholars I hope to remain here least in planes space will be other few examples
  • Anonymous

    Anonymous completed this course.

    It covers a good variety of Algebra topics and builds it systematically. The examples and explanations are clear. The quiz questions are challenging at an appropriate level. Thanks guys!
  • Anonymous

    Anonymous completed this course.

    great course if somewhat brain straining for me. But that is why I took it, now I'm retired I can study for the joy of it rather than needing to use it to earn a living.
  • Anonymous

    Anonymous completed this course.

    It’s a great course. I’ve learned some new concepts too while polishing my existing knowledge of the topics covered in it. Now I’m waiting for its follow-up course.
  • Raphael N.

    Raphael completed this course.

    Very well explained, good teacher and assistants. I enjoyed this course a lot. It could have better exercise material (to avoid using papers which I hate) but that's just me.

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