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FutureLearn

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.

Hear from our courses team

You can sign up at any time. However, if you’d like to take advantage of feedback from the educators and your mentors, you can do so within this period:

April 10 - May 14, 2021

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

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Reviews

4.8 rating, based on 42 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;...
  • 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
    This was an excellent in depth course of all the concepts which are necessary before one can move on to logarithmic functions and solid geometry. The material is presented in a very compact way so I would recommend watching each video several times. The exercises and their solutions are fascinating.
  • Anonymous
    Excellent course, I highly appreciate the methodology, first the theoretical explanation and second the exercises, both in video or in pdf. I recommend to everybody that needs a refresh of the topic, or just to revise or check the syllabus in order to learn the next course. The explanations are very easy to understand, excellent work¡
  • Anonymous
    many thanks to Francis and his team for this excellent course. It took me much longer than I initially thought but it was really enjoyable. I will definitely join your next course and look forward seeing you in Padova in my retirement. Keep safe, Jurgen
  • Anonymous
    This was a great course. I had not done any advanced mathematics for several years and this gave a good introduction and reminder of older topics as well as introducing successfully newer ones. Nice bit of humour as well
  • Anonymous
    An excellent course for those wanting to brush up and revise their knowledge. I found the course very helpful.

    Notwithstanding the above, this course is not for the novice looking for an introduction to mathematics.
  • Anonymous
    I loved the course, some things helped me as a review, there were also new things that I learned, that I knew about them but now I understood them better.
  • Anonymous
    Great course , great instructors ! Easy and interesting to follow. Provides a good refresher to existing knowledge.
  • 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.
  • Profile image for Stephanie Williams
    Stephanie Williams
    This is a fantastic course, really well structured and well presented. It's quite challenging but in a good way, there is lots to learn. If I'd had access to a course like this when I was young it would have made my first year at university a lot easier! Looking forward to taking the advanced course.
  • Anonymous
    I enjoyed this course very much. In some respects it was a refresher for me, just to check that my mathematical brain still functions, but some of the teaching was new to me. I hope to take the advanced course when I have another block of spare time. Excellent.
  • Anonymous
    Excellent course! All presenters were excellent! Pace was good and the maths examples were at a good level - all slightly different from the previous - all suitably challenging. just what i wanted to rekindle my old love for mathematics.
  • Mike Lewis
    2

    Mike Lewis 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.

    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.

    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?
  • Andrew Starodubstev

    Andrew Starodubstev 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

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