Precalculus 1: Basic notions

A solid preparation for Calculus, with elements of Discrete Mathematics: logic, sets, functions, relations, and proofs

Precalculus 1: Basic notions

InstructorHania Uscka-Wehlou

Duration52h 16m

Students6,995

Rating4.9 (1,424)

Comidoc Analysis

Rigorous Mathematical Foundations for University-Level Study

Strengths

Advanced Theoretical Depth

The curriculum extends into abstract concepts such as metric spaces, cardinality of sets, and the construction of natural numbers via Peano axioms.

Best suited to

Students preparing for Calculus or Real Analysis
Learners seeking university-level mathematical maturity
High school students interested in abstract mathematics

Less suited to

Learners needing basic arithmetic drill practice
Those seeking automated quizzes or interactive workbooks

Editorial course preview

What the public course preview actually shows

These 3 complementary views highlight concrete, legible examples from the course presentation.

Split-screen educational video showing a female instructor in a small window on the left and a digital whiteboard on the right displaying a theorem about injective functions, set V — Preview 1 of 3
A split-screen view shows an instructor alongside a digital whiteboard presenting a mathematical theorem regarding injective functions and function composition using formal notation and diagrams.

A split-screen educational video frame showing a woman speaking on the left and a digital whiteboard with a mathematical proof about the irrationality of the square root of 2 on a — Preview 2 of 3
This instructional frame demonstrates a proof by contradiction for the irrationality of the square root of 2, featuring logical notation on the left and step-by-step algebraic manipulation on a grid background.

A split-screen educational video frame: left side shows a theorem about injective functions with formal notation and an inset of a female instructor; right side displays grid paper — Preview 3 of 3
This instructional slide presents the formal definition of an injective function using logical quantifiers, alongside handwritten derivations and set diagrams on digital graph paper.