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

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Advanced Precalculus: Geometry, Trigonometry and Exponentials
 at 
FutureLearn 
Overview

Duration

4 weeks

Total fee

2,763

Mode of learning

Online

Official Website

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Credential

Certificate

Advanced Precalculus: Geometry, Trigonometry and Exponentials
 at 
FutureLearn 
Highlights

  • Duration 4 weeks
  • Weekly study 5 hours
  • 100% online Learn at your own pace
Details Icon

Advanced Precalculus: Geometry, Trigonometry and Exponentials
 at 
FutureLearn 
Course details

More about this course
  • 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.

Advanced Precalculus: Geometry, Trigonometry and Exponentials
 at 
FutureLearn 
Curriculum

Exponential and logarithmic functions

Course presentation

Exponential functions

The Euler number

Functions and their inverses

Logarithms

It's quiz time

Test yourself

Trigonometry

Trigonometry by triangles

Trigonometry by the unit circle

Graphs of trigonometric functions

Trigonometric identities

Harmonic motion

The function arctan

More inverse trig functions, and a few others

It's quiz time

Test yourself

Geometry

Geometry of the plane: points, segments, lines

Distance and circles

Ellipses

Parabolas and hyperbolas

Level curves of quadratic functions

Lengths, areas, and volumes

It's quiz time

Test yourself

From equations to spirals

Equations with exponentials and logarithms

Growth and decay problems

Trigonometric equations

Inequalities with logarithms and exponentials

Trigonometric inequalities

Polar coordinates

It's quiz time

Test yourself

Final step and revision test

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Advanced Precalculus: Geometry, Trigonometry and Exponentials
 at 
FutureLearn 

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