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Advanced Precalculus: Geometry, Trigonometry and Exponentials

University of Padova via FutureLearn

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  • Provider FutureLearn
  • Subject Calculus
  • $ Cost Free Online Course (Audit)
  • Session Finished
  • Language English
  • Certificate Paid Certificate Available
  • Effort 5 hours a week
  • Start Date
  • Duration 4 weeks long

Taken this course? Share your experience with other students. Write review

Overview

Take your precalculus knowledge to the next level

This course is the second of two precalculus courses from the University of Padova, providing you with the advanced mathematical skills required to complete a first course in calculus.

You’ll get to grips with more challenging precalculus topics: plane and solid geometry; logarithms and exponentials; equalities and inequalities; and trigonometric functions and identities.

By the end of this course you’ll have gained the skills to support further mathematical studies.

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.

Ideally, you’ll have already taken the first course - Precalculus: the Mathematics of Numbers, Functions and Equations or be familiar with the topics covered in it, and have a basic knowledge of high school mathematics.

Taught by

Francis Clarke

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Reviews for FutureLearn's Advanced Precalculus: Geometry, Trigonometry and Exponentials
4.8 Based on 17 reviews

  • 5 stars 82%
  • 4 stars 18%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

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  • 1
Graham D
4.0 6 months ago
Graham completed this course, spending 25 hours a week on it and found the course difficulty to be hard.
A very good course which I found, personally, difficult and demanding. A lot of fellow students appeared to have strong mathematical backgrounds and were probably familiar with many of the topics covered. I found a tendency for the videos to speak maths rather than teach it although Carlo and Alberto’s videos of the answers to the questions were much better in this respect. Of course, they were after spending a lot of time tackling the questions. I found it a huge leap from Francis’ introductory videos to the nature of the questions. For me, a few intermediate stepping stones would have bee…
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Anonymous
5.0 6 months ago
Anonymous completed this course.
This and the earlier precalculus course from the University of Padova are two of the best courses on FutureLearn, both challenging but enjoyable. They have a regular structure, the theory of each topic is discussed followed by practical examples of problem solving based on the theory, then the student is provided by a quiz to test their understanding. At the end of each week there’s an optional test. The final week includes a test covering all course topics.

Three things demonstrated to me the high quality of the course development:

- The student is obliged to make…
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Kevin G
5.0 6 months ago
by Kevin completed this course.
Very enjoyable. All the tutors are knowledgable, enthusiastic and engaging. The structure of the course, with a lecture followed by worked examples which you are encouraged to try yourself, works really well.

The pace is quite fast and some of the material is challenging (it was for me anyway) but everything is explained well and if you go back and look at the lecture or the pdf that accompanies it you will find what you are looking for.

I have studied a quite a bit of maths over the years but there was still lots here that was new to me; or explained in ways that gave a fresh insight. The delivery was entertaining and often amusing.

The educators engaged in discussions with the learners, and any errors were quickly corrected. My favourite MOOC so far!
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Anonymous
5.0 4 weeks ago
Anonymous completed this course.
Very nice course, was DEFINITELY challenging b/c of the CONSTANT set theory notation. But omg, after a while it just clicked and I could understand it. I guess b/c i was exposed so long to it. Especailly compared to other courses online, I would definitely say this is prob the hardest, maybe not the MOST thorough, but its proofs are rigorous as math should be, and is definitely a taste of what REAL math is, if you know what I mean. Thank you for the great time!! and Good Luck all :D
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Anonymous
4.0 a month ago
Anonymous completed this course.
Francis's teaching was excellent, clear easy to understand and rigorous. I found the other course tutors unclear and difficult to understand at times and although their working was correct they did seem to overcomplicate explanations and often used a slightly different notation to Francis, so I did find this a bit confusing. I am disappointed that the course has come to an end. I do hope that there will be more courses like this in future as I have really enjoyed it..
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Anonymous
5.0 6 months ago
Anonymous partially completed this course.
A very thorough course well presented with worked solutions to help if in difficulty.

Any comments posing questions are answered very quickly by course staff, I think they must work shifts to give such immediate responses, the most attentive monitoring of all the courses that I have done. I am just sorry that owing to other commitments I fell behind on this particular course, very rare for me not to complete a course. I shall probably sign up when it is re-run.
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Ivana B
5.0 6 months ago
Ivana completed this course.
I appreciate a highly professional instruction, plenty of problems of varied difficulty to solve accompanied by a detailed solution of the problems both in videos and in pdf files, interesting applications of presented mathematical concepts, lots of quizes that prepare

students for the tests, the support of the educators in answering students' questions.

Taking part in the course was a great adventure.
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
This is a very enjoyable, yet very serious course covering lots of different areas of Mathematics.

Concepts are clear & concise. Excellent examples are used to enhance understanding & plenty of practise questions are given.

This is a course for someone with a good knowledge of Mathematics who wishes to extend their knowledge & skill base in this subject.

A thoroughly enjoyable & deep course of study.
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Anonymous
5.0 5 months ago
Anonymous completed this course.
I love both PreCalculus and Advanced PreCalculus offered by you. My suggestion is that it will be better if Francis uses focus-directrix definition of conic section when deriving the canonical equation of ellipse, parabola, and hyperbola since it is much easier to understand. Other than that, I can safely say that this is the most impressive PreCalculus course that I have ever taken in my life.
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Anonymous
5.0 6 months ago
Anonymous completed this course.
A well designed course that is challenging, interesting and informative.

The educators explained the material well and guided learners through problems. They were ready to take part in the forum with further explanation and responded promptly to correct occasional inaccuracies
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
A great deal of hard work was put into this MOOC, one of the most thorough (and demanding, but that is not a criticism) that I have done. All involved showed a love for their subject and the wish to share that. Excellent!
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Anonymous
4.0 4 months ago
Anonymous completed this course.
This course was very interesting although I feel like it had some parts that where very hard and some that where very easy (Maybe my understanding of some parts where bad and some good).
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Anonymous
5.0 6 months ago
Anonymous completed this course.
The course was perfect for me. The professors explained the material very well. I think that with so many topics the course should take a bit longer and there should be more exercises
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Juli S
5.0 6 months ago
Juli completed this course, spending 12 hours a week on it and found the course difficulty to be medium.
The course was perfect for me. The professors explained the material very well. I think that with so many topics the course should take a bit longer and there should be more exercises.
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
Very clearly presented with a good standard format. Challenging but careful working through was repaid. Recommended for any novice mathematician who is keen to learn more.
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Anonymous
5.0 2 weeks ago
Anonymous completed this course.
it was a challenging and very interesting course. i recommend this course to all who wants to brush up one's rusty math skills.
Was this review helpful to you? Yes
Anonymous
5.0 6 months ago
Anonymous completed this course.
Very interesting and fun! Really a wonderful way to refresh my mathematical skills!

I suggest every one to give a look!
Was this review helpful to you? Yes
  • 1

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