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Online course

Advanced Precalculus: Geometry, Trigonometry and Exponentials

Explore advanced precalculus topics and gain the mathematical knowledge and skills required to take a first course in precalculus.

Advanced Precalculus: Geometry, Trigonometry and Exponentials

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.

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Skip to 0 minutes and 4 secondsyou know that precalculus course it covered a lot of material actually numbers and inequalities and equations and algebra and graphs and functions do you think we can stop there, Carlo? definitely not look, we haven't even talked about basic material like exponential growth, logarithms and so on and trignonetry how could we ignore that?

Skip to 0 minutes and 32 secondstrigonometry I remember my trig teacher in high school he used to hit us on the knuckles with a wooden ruler if we didn't learn fast enough but I suspect it would be hard to improve this in an on-line course not to mention that probably it is not legal sadly, Alberto, I think you are right well, you know, times change we'll just have to find a way to make tringonometry fun what does should be put into the course Alberto?

Skip to 1 minute and 2 secondssome geometry of the plane like circles, ellipses, parabolas things that I think are very useful for calculs later on sure, yeah polar coordinates, areas, volumes I guess well in that case I believe we'd better advise to those who are planning to take this second course to have done the previous first that make sense maybe the name of the course could be a hint about that yeah, how about calling it

Skip to 1 minute and 31 secondsprecalulcus: the ongoing saga yes, but look maybe a little bit too dramatic, Francis? why not precalculus advanced topics perfetto Carlo, perfetto

What topics will you cover?

  • Plane and solid geometry
  • Logarithms and exponentials
  • Trigonometric functions and identities
  • Equalities and inequalities involving exponential and trigonometric functions

When would you like to start?

  • Available now
  • Date to be announced

What will you achieve?

By the end of the course, you'll be able to...

  • Solve problems using properties of the basic transcendental functions: exponential, logarithmic, and trigonometric
  • Calculate expressions involving transcendental functions
  • Solve equalities and inequalities in terms of transcendental functions
  • Calculate areas and volumes of basic geometric plane figures and spatial solids
  • Apply elements of mathematical reasoning and proofs
  • Compare exponentials and logarithms
  • Model basic compound interest

Who is the course for?

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.

Who will you learn with?

Francis Clarke

I am a professor of mathematics at the University of Lyon. In previous lives I have held tenured positions at the University of British Columbia and the University of Montreal.

Carlo Mariconda

I am professor of mathematical analysis at the University of Padova. Among my interests: magic, tango, photography, innovative teaching, technology and e-learning.

Alberto Tonolo

I am a professor of algebra at the University of Padova and I teach at the science and engineering faculties. I like very much math and classical music.

Valentina Franceschi

I am Postdoc researcher at Inria Paris. My research field is mainly sub-Riemannian geometry. Among my interests: photography, swimming and science communication.

Francesco Mattiello

I'm a mathematician expert in the fields of homological algebra and applied category theory.
I'm also interested in photography, bike and powerlifting.

Who developed the course?

The University of Padova is one of Europe’s oldest and most prestigious seats of learning; it aims to provide its students with both professional training and a solid cultural background.


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