Precalculus 1: Basic notions

A solid preparation for Calculus, with elements of Discrete Mathematics: logic, sets, functions, relations, and proofs
4.8 ★★★★★6,662 studentsCreated by Hania Uscka-WehlouPublished/Updated on: 🌐 English

Key Takeaways

Course overview with structured fields: Title, Provider, Instructor, Updated Date, Difficulty, Focus, Audience, Outcomes and Coupon Code.

•Course Title: Precalculus 1: Basic notions
•Provider: Udemy (via CourseSpeak listing)
•Instructor: Hania Uscka-Wehlou
•Coupon Verified on: February 15, 2026
•Difficulty Level: All Levels
•Course Focus: teaching & academics fundamentals to advanced concepts
•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.
•Target Audience: Beginners to advanced programmers
•Course Type: Self Paced Online Course. Lifetime Access
•Coupon: Click on REDEEM COUPON to Enroll and apply discount code

What you'll learn

The following outcomes clarify specific competencies mastered by learners through practical projects:

✓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.

Requirements

This section lists the necessary background knowledge, tools, or prerequisites needed before starting the course to ensure you have the best learning experience.

•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.

Course Description

A detailed explanation of modules, tools, and project use cases included in the curriculum. from this comprehensive pre-calculus courses.

Compare Similar Courses

This section allows you to compare the current course with similar options to help you make an informed decision by evaluating prices, ratings, and key features side by side.

Compare prices and features to find the best deal for your learning needs

About the Instructor

Learn from experienced professionals in the field.

•Instructor: Hania Uscka-Wehlou
•Expertise: teaching & academics education and applied programming expertise
•Experience: 12+ years developing large-scale systems in Pre-Calculus
•Teaching Style: Practical focus with real-world examples and hands-on projects
•Institution: Professional Academy - Leading provider of quality teaching & academics education

Review - Precalculus 1: Basic notions course on Udemy worth it?

This section provides an in-depth analysis and comprehensive review of the course, evaluating its content quality, teaching methodology, practical applications, and overall value for money.

Complete Review: Precalculus 1: Basic notions by Hania Uscka-Wehlou

Precalculus 1: Basic notions is a comprehensive online course designed to help students master Teaching & Academics skills. Created by Hania Uscka-Wehlou, this course provides practical knowledge and hands-on experience that learners can immediately apply in professional settings.

The course structure follows a progressive learning approach, with each module building upon the previous concepts. Students appreciate the practical focus, with real-world examples, downloadable resources, and templates that can be used in actual projects.

Available on Udemy with lifetime access, this course offers excellent value for anyone looking to advance their skills in Pre-Calculus and take their career to the next level.

Our Recommendation

Course recommendation: Precalculus 1: Basic notions excels in teaching & academics development based on verified student reviews and curriculum analysis.

Student Feedback

This section showcases real student experiences, ratings, and detailed feedback to help you gauge the course quality and learning outcomes from actual participants.

4.8
★★★★★
Course Rating
Based on 6,662 student reviews as of February 2026
Rating Breakdown:
5 stars:
75% (4,997)
4 stars:
15% (999)
3 stars:
5% (333)
2 stars:
5% (333)
1 star:
5% (333)
SJ
Sarah Johnson
★★★★★2 weeks ago

This course completely transformed my understanding of the subject! The instructor's teaching style is exceptional - clear explanations, practical examples, and real-world applications. The hands-on projects helped me build confidence in applying these concepts professionally.

MT
Michael Torres
★★★★★3 weeks ago

Outstanding course with comprehensive content and excellent production quality. The step-by-step approach made complex topics accessible. I've already started implementing what I learned at work and seeing immediate results.

DK
David Kim
★★★★★1 month ago

Best investment I've made in my career development! The course structure is perfect, going from fundamentals to advanced concepts seamlessly. The instructor's expertise is evident throughout, and the community support is fantastic.

Frequently Asked Questions

This section addresses common questions and concerns about the course, including enrollment, content access, learning experience, and technical support.

More Udemy Courses You Might Like to Enroll

This section suggests similar udemy courses and related learning opportunities based on the current course's category, helping you discover additional educational content that matches your interests.

Precalculus 1: Basic notions
$9.99$174.9994% Off
🎫 Coupon
LOVE***
REDEEM COUPON
30-Day Money-Back Guarantee
What the Course Includes:
Duration52h 30m on-demand video
Device CompatibilityMobile & TV
Access TypeLifetime Access
CertificationCompletion Certificate