Advanced Precalculus: Geometry, Trigonometry and Exponentials Course - University of Padova

General

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Program Description

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

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 the 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.

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?

Most FutureLearn courses run multiple times. Every run of a course has a set start date but you can join it and work through it after it starts.

  • Available now

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 the 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 a 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 a 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?

University of Padova

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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$259.99 for one year

Join free and you will get:

  • Access to this course for 6 weeks

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  • Access to this course for as long as it’s on FutureLearn
  • Access to this course’s tests as well as a print and digital Certificate of Achievement once you’re eligible

Buy Unlimited and you will get:

  • Access to this course, and hundreds of other FutureLearn short courses and tests for a year
  • A printable digital Certificate of Achievement on all short courses once you’re eligible
  • The freedom to keep access to any course you've achieved a digital Certificate of Achievement on, for as long as the course exists on FutureLearn
  • The flexibility to complete your choice of short courses in your own time within the year
Last updated Sep 2020

About the School

Learn 100% online with world-class universities and industry experts. Develop your career, learn a new skill, or pursue your hobbies with flexible online courses.

Learn 100% online with world-class universities and industry experts. Develop your career, learn a new skill, or pursue your hobbies with flexible online courses. Read less
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