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