Precalculus 1: Basic notions — 94% Off Coupon

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

4.8 6,662 students enrolledCreated by Hania Uscka-WehlouLast updated: 🌐 English

Course Overview — Key Details

A quick-reference summary of the most important course details: provider, instructor, difficulty, duration, and what the coupon covers.

Course Title: Precalculus 1: Basic notions
Provider: Udemy (listed via CourseSpeak)
Instructor: Hania Uscka-Wehlou
Coupon Verified On: February 15, 2026
Difficulty Level: All Levels
Category: Teaching & Academics
Subcategory: Pre-Calculus
Duration: 52h 30m of on-demand video
Language: English
Access: Lifetime Access · Mobile & TV compatible
Certificate: Certificate of completion included
Top Learning Outcomes: How to solve problems in chosen Precalculus topics (illustrated with 236 solved problems) and why these methods work. · Repetition of chosen aspects of high school mathematics (basic notions as numbers, functions, sets, equations, and inequalities). · The basic notions will be defined in a more abstract way, and you will get an insight into their place in Calculus and some other branches of university maths.
Prerequisites: Basic high school mathematics (mainly arithmetic) · You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everybody's advantage if you ask your questions on the forum.
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What You'll Learn

Skills and competencies you'll gain from this Udemy course:

How to solve problems in chosen Precalculus topics (illustrated with 236 solved problems) and why these methods work. .
Repetition of chosen aspects of high school mathematics (basic notions as numbers, functions, sets, equations, and inequalities). .
The basic notions will be defined in a more abstract way, and you will get an insight into their place in Calculus and some other branches of university maths. .
By the end of this course you will be able to understand all the elements in the epsilon-delta definition of limit, both symbols and the content. .
Arithmetic with basic rules (associativity and commutativity of addition and multiplication, distributivity) illustrated for positive integers. .
Basic terminology for equations and inequalities, with examples of linear equations and inequalities, with and without absolute value. .
Basic concepts related to functions (domain, range, graph, surjection, injection, bijection, inverse, composition) and how to work with them. .
Functions: monotone (increasing, decreasing), bounded, even, odd; extremum: maximum, minimum, both local and global. .
Geometrical operations on graphs of functions: translations, reflections, shrinking, dilating. Piecewise functions. .
Absolute value and its role in computing distances, with geometrical illustrations and functional approach. .
Equations of straight lines in the plane: slope and intercept; first glimpse into derivative as the slope of the tangent line, and link to monotonicity. .
Introduction to sequences and series; short notation for sum (Sigma) and product (Pi); arithmetic, geometric, and harmonic progressions. .
Logic: symbols and rules (tautologies) used for creating mathematical statements, definitions, and proofs. .
Set theory: union, intersection, complement, set difference; some important rules and notation. .
Relations: RST (equivalence) relations, order relations, functions as relations. .
Necessary and sufficient conditions: definition and examples. .
Various types of proofs: direct, indirect, by contradiction, induction proof, with some examples. .
Building blocks of mathematical theories: axioms, definitions, theorems, propositions, lemmas, corollaries, etc. .
Decimal expansion of rational and irrational numbers. Density of Q and R\Q in R. .
Cardinality of sets: finite sets, N, Z, Q, R; countable and uncountable sets. .
You will also get a solid background for any future studies in Real Analysis and other courses in university mathematics.

Course Requirements & Prerequisites

Background knowledge or tools recommended before starting this course:

Basic high school mathematics (mainly arithmetic)
You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everybody's advantage if you ask your questions on the forum.

About This Udemy Course

Full course description including curriculum, tools covered, and learning methodology:

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About the Instructor

This course is taught by Hania Uscka-Wehlou. For full instructor bio, credentials, and other courses they teach, visit the instructor profile on Udemy.

Instructor: Hania Uscka-Wehlou
Field: Teaching & Academics
Teaching Style: Practical, project-based learning (as described in course curriculum)

Is the Precalculus 1: Basic notions Coupon Worth It?

Precalculus 1: Basic notions is a teaching & academics course offered on Udemy by instructor Hania Uscka-Wehlou, spanning 52h 30m of on-demand content. It holds a 4.8/5 rating from over 6,662 enrolled students.

Through CourseSpeak, you can access this course with a 94% discount coupon. The coupon was last verified on February 15, 2026. Udemy coupons are time-limited and claimed on a first-come basis — we recommend redeeming as soon as possible.

New to redeeming coupons? Visit our How to Redeem Udemy Coupon on CourseSpeak for detailed instructions on how to apply coupon codes.

✓ Our Take: Based on the rating (4.8/5) and enrollment numbers (6,662 students), this course appears well-regarded in its category. Use the coupon to access it at a significantly reduced price — and judge for yourself using Udemy's 30-day money-back guarantee.

Course Rating Summary

Aggregate rating data sourced from Udemy as of February 2026. For individual student reviews, visit the course page directly.

4.8
6,662 ratings
5 stars
75%
4 stars
15%
3 stars
6%
2 stars
2%
1 star
2%

* Rating distribution is estimated. For exact per-star counts, visit the Udemy course page.

Frequently Asked Questions

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