Cambridge International A & AS Level (Pure Mathematics 1) (Udemy.com)
Extensive course covers Pure Math 1 Cambridge (IB) A/AS level topics Algebra 1 and 2, Precalculus, Calculus 1 and 2
Created by: Ruchi Chhabra
Last updated April 2025
What you will learn
- The fundamentals of differentiation, including the power rule, tangents and normals, stationary points, and applications in real-life like optimization problems
- Understand the core concepts of integration, from the Fundamental Theorem of Calculus to applications like finding areas between curves & volumes
- Refresh your foundational skills in topics like integers, powers, roots, algebraic expressions, BODMAS, and factorization techniques.
- Develop a deep understanding of functions, their domains and ranges, and how to determine even and odd functions. Learn about composite and inverse functions.
- Master various methods of solving quadratic equations, factorization, completing the square, and the quadratic formula and learn to sketch quadratic graphs.
- Understand different types of intervals and learn how to solve quadratic inequalities both graphically and algebraically.
How it compares
Against the other 127 rated Udemy courses in Math on CourseDuck:
- Rating4.5 out of 5higher than 25% of them
- Reviews192#75 of 128 by number of reviews
- Length28.4 hourslonger than 85% of them
- Last updatedApril 2025more recently than 51% of them
Course Description
Cambridge International A & AS Level (Pure Mathematics 1) Year 1 and other major exam boards, including Edexcel, OCR, AQA, and MEI
Unlock the secrets of Pure Mathematics 1 with this comprehensive and meticulously crafted course designed specifically for Cambridge (IB) AS/A Level students and other major exam boards, including Edexcel, OCR, AQA, and MEI. Whether you're aiming to ace your exams or seeking a deeper understanding of high school mathematics, this course provides everything you need to succeed.
With over 190 lectures spanning more than 27 hours of on-demand video content, this course is structured into 12+ sections, covering all key topics in Pure Mathematics 1. Each lecture takes a hands-on approach, guiding you through multiple problem-solving exercises to reinforce learning and ensure mastery of each concept. In addition, practice questions and quizzes at the end of each topic will solidify your knowledge and prepare you for exam-level challenges. We also provide an extensive focus on solving past paper questions, equipping you with the confidence and skills needed to excel in your exams.
What You Will Learn:
1. Essential Revision Sections 1 & 2:
Refresh your foundational skills in topics like integers, powers, roots, algebraic expressions, BODMAS, and factorization techniques.
2. Quadratic Equations:
Master various methods of solving quadratic equations, including factorization, completing the square, and the quadratic formula. Learn to sketch quadratic graphs, analyze the nature of roots, and solve equations reducible to quadratic forms.
3. Quadratic Inequalities:
Understand different types of intervals and learn how to solve quadratic inequalities both graphically and algebraically.
4. Coordinate Geometry:
Explore the fundamental concepts of coordinate geometry, such as distance and midpoint formulas, gradients, and the equations of lines. Learn to graph straight lines and find intersections with parabolas.
5. Sequence and Series:
Dive into arithmetic and geometric sequences, learn to find general terms, and calculate sums for both finite and infinite series.
6. Binomial Theorem:
Gain expertise in expanding binomials using the Binomial Theorem, finding specific terms and coefficients, and understanding properties of combinations.
7. Functions:
Develop a deep understanding of functions, their domains and ranges, and how to determine even and odd functions. Learn about composite and inverse functions both graphically and algebraically.
8. Differentiation:
Learn the fundamentals of differentiation, including the power rule, tangents and normals, stationary points, and applications in real-life scenarios like rates of change and optimization problems.
9. Integration:
Understand the core concepts of integration, from the Fundamental Theorem of Calculus to applications like finding areas between curves and volumes by integration.
Why This Course?
Extensive Coverage: Tailored to cover all essential topics required by major exam boards, ensuring you are well-prepared for any exam.
Hands-On Learning: Solve problems alongside the instructor and tackle a variety of question types to build confidence and competence.
Comprehensive Resources: Benefit from a wealth of practice questions, quizzes, and past paper solutions.
Enroll now and take the first step towards achieving your academic goals!
Enhance your learning experience today with this all-encompassing math course and secure your success in high school mathematics!
Here's what some students say about the course:
"This course is really good especially binomial, differentiation, and geometry lessons of this course can really help the beginners. The best part of the course is the Essential Revision where you can learn most of the important things again" - Vedant
"This course is one of the best" - Daniel Wade
"I am finding this an invaluable resource to improving my maths tutoring skills. The approach is very through; Ruchi leaves no stone unturned ... and I feel much better prepared" - Hamish
"What an amazing course and instructor. Upon completing the entire course, I feel satisfied and glad. Ruchi is a genuine online teacher who cares about her student's response and feedback. This course is an excellent choice for learning Pure Mathematics 1 concepts and for putting them to use through practice problems and past paper problems (with solutions), which are provided in the course" - Shaikh Muhammad
"It was a challenge. I enjoyed it! Thank You!" - Ralph Benton Jones
"Nice course, short and sweet, very helpful, excellent explanations" - Akshit Kabra
With this course you'll also get:
Full lifetime access to the course
Complete support for any question, clarification or difficulty you might face on the topic
Udemy Certificate of Completion available for download
30-day money back guarantee
Feel free to contact me for any questions or clarifications you might have.
I look forward to seeing you in the course! :)
Instructor Details
- 4.5 Rating
192 Reviews
Ruchi Chhabra
Masters in Applied Mathematics, Delhi University
Graduation in Mathematics Honours, Lady Shri Ram College, Delhi University
20+ years of experience in teaching Mathematics. A strong record of countless students who have scored 90% and above in the subject and many who have scored 100%.
Have taught students from classes 9th to 12th (IB AA HL/SL, IB AI HL/SL, IGCSE, ICSE, CBSE boards), competitive exams like GMAT, CAT, SAT, GRE, CPT, CLAT, NTSE, Math Olympiad and students preparing for the entrance exams of reputed schools like Mayo, Rishi Valley, Bishop Cotton, DPS, Birla etc.
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Reviews
By Michael Sovereign on 6/19/2024
I like that it starts fairly basic, then looking at the course content I can see that it descends from basics in revision to calculus... Looks good so far.
By Liya Khongbantabam on 2/20/2023
The explanations are well said and thoroughly explained. But sometimes I have a hard time keeping up and often new terms appear out of nowhere and I can't seem to keep up with them.
By Oung Oung on 7/11/2022
This course is amazing , I have learned a lot from this course ,it does help to have additional resources and to practice more. But overall this course has incredible value. I highly recommend this. However logarithms and trigonometry could be added to it.Other than it.Amazing course , and an amazing instructor.
By Joanne Tiu on 5/1/2021
I learned something new which improved my basic understanding of integers and helped a lot with solving integer problems quickly and correctly.
By Hamish on 4/19/2020
I am finding this an invaluable resource to improving my maths tutoring skills. The approach is very through; Ruchi leaves no stone unturned ... and I feel much better prepared.
By Rena Brown on 1/10/2020
Yes, so very clear and understandable so far. I have just started, but I am so so happy that I don't have to try and teach myself anymore which is what I was doing! I have already done A-level but years ago, so this is a great way to get back on track. The fact that the course revises the basics is essential and that is where I am at the moment.
By Shaikh Muhammad on 11/23/2019
What an amazing course and instructor. Upon completing the entire course, I feel satisfied and glad. At first, I was sceptical of whether this course was right for me or not, and if it would help me accomplish what I intended to aim for. Ms.Ruchi hastened to response to my queries and doubts. Moreover, she updated and modified the course thoroughly to provide a seamless experience. In a nutshell, she is a genuine online teacher who cares about her student's response and feedback. This course is an excellent choice for learning Pure Mathematics 1 concepts and for putting them to use through practice problems and past paper problems (with solutions), which are provided in the course. In general, this course is an archetype of what online courses should provide in terms of quality learning and not wasting precious time of students with redundant and incomplete content. I thank Ms.Ruchi for putting in the hard work and effort in making this course.
By Carolyn Steel on 7/10/2019
Totally not what I was expecting. Not worth the money and very hard to understand what she is saying with her accent.
By Vedant on 4/22/2019
This course is really good especially binomial, differentiation, and geometry lessons of this course can really help the beginners. The best part of the course is the Essential Revision where you can learn most of the important things again.
By Abdullah-Al- Mamun on 11/10/2018
I need to improve my skills about A.P and G.P and the instructor gave a nice and easy method that helps me a lot. So, I am recommended this course who wanted to brush up their skills for the exam and as well as some other issues. Nice, short and easy method to understand. Thanks for the great course.
Quality Score
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Overall Score : 90 / 100












