This course from the University of Padova will provide you with an introduction to the fundamental mathematical skills required to follow any other course with some mathematical content (e.g., psychometry, statistics,...).
You will learn the basic precalculus required for college or undergraduate-level studies, including factoring and division, sets and set operations, reasoning and proofs, functions and graphs, and equations and inequalities. Moreover, 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.
What will you achieve?
- Understand naturals, rationals and real numbers and their operations
- Learn the notion of function
- Work with powers, both rational and rationals
- Solve polynomial equations and inequalities
- Solve equations and inequalities with radicals and absolute values
- 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.
- Docente: Francis Clarke
- Docente: Carlo Mariconda
- Docente: Alberto Tonolo