Cambridge International A & AS Level (Pure Mathematics 1) Year 1 and other major exam boards, including Edexcel 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.
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Cambridge International A & AS Level (Pure Mathematics 1) Year 1 and other major exam boards, including Edexcel 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.
Cambridge International A & AS Level (Pure Mathematics 1) Year 1 and other major exam boards, including Edexcel 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
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. :)
What's inside
Learning objectives
- 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.
- Explore the fundamental concepts of coordinate geometry, such as distance and midpoint formulas, gradients, and the equations of lines.
- Dive into arithmetic and geometric sequences, learn to find general terms, and calculate sums for both finite and infinite series.
- Gain expertise in expanding binomials using the binomial theorem, finding specific terms and coefficients, and understanding properties of combinations.
- 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.
- Explore the fundamental concepts of coordinate geometry, such as distance and midpoint formulas, gradients, and the equations of lines.
- Dive into arithmetic and geometric sequences, learn to find general terms, and calculate sums for both finite and infinite series.
- Gain expertise in expanding binomials using the binomial theorem, finding specific terms and coefficients, and understanding properties of combinations.
Syllabus
Writing statements in Algebraic Form
BODMAS/BIDMAS/PEMDAS
Introduction
About Course
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Syllabus
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Reviews summary
Comprehensive a/as level pure math 1 prep
Good review of foundational math concepts.
Teaches by walking through many examples.
Plenty of problems, quizzes, and past papers.
Covers all core A/AS Level P1 syllabus points.
Activities
Review Algebraic Manipulation
Show steps
Strengthen your understanding of algebraic manipulation to prepare for solving equations and inequalities in the course.
Browse courses on
Algebraic Expressions
Show steps
-
Review the rules of exponents and radicals.
-
Practice simplifying algebraic expressions.
-
Work through practice problems involving factorization.
Create a Formula Sheet
Show steps
Improve recall and problem-solving speed by creating a comprehensive formula sheet for quick reference.
Show steps
-
Review all the formulas covered in the course.
-
Organize the formulas by topic or module.
-
Write down each formula clearly and concisely.
Review 'Pure Mathematics 1' by Backhouse and Houldsworth
Show steps
Deepen your understanding with a classic textbook that provides a thorough grounding in the core concepts of Pure Mathematics 1.
View
Pure Mathematics
on Amazon
Show steps
-
Read the chapters corresponding to the course syllabus.
-
Work through the examples and exercises in the book.
-
Compare the book's explanations with the course lectures.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Review 'A-Level Mathematics for Cambridge International Examinations' by Neill Bland
Show steps
Supplement your learning with a comprehensive textbook that aligns with the Cambridge A-Level syllabus.
View
Putting Knowledge to Work
on Amazon
Show steps
-
Read the chapters relevant to the current course topics.
-
Work through the example problems in the book.
-
Complete the practice exercises at the end of each chapter.
Help Others in Online Forums
Show steps
Reinforce your understanding by helping other students with their questions and problems in online forums.
Show steps
-
Monitor online forums for questions related to the course material.
-
Provide clear and helpful answers to student questions.
-
Explain your reasoning and provide examples to support your answers.
Create a Summary of Key Concepts
Show steps
Solidify your understanding by creating a concise summary of the key concepts covered in each module.
Show steps
-
Review the lecture notes and course materials for a specific module.
-
Identify the key concepts and formulas covered in the module.
-
Write a concise summary of the key concepts, including examples.
Practice Past Paper Questions
Show steps
Improve exam performance by practicing past paper questions to familiarize yourself with the exam format and question types.
Show steps
-
Obtain past papers from the Cambridge International Examinations website.
-
Allocate time to solve each paper under exam conditions.
-
Review your answers and identify areas for improvement.
Review Algebraic Manipulation
Show steps
Strengthen your understanding of algebraic manipulation to prepare for solving equations and inequalities in the course.
Browse courses on
Algebraic Expressions
Show steps
- Review the rules of exponents and radicals.
- Practice simplifying algebraic expressions.
- Work through practice problems involving factorization.
Create a Formula Sheet
Show steps
Improve recall and problem-solving speed by creating a comprehensive formula sheet for quick reference.
Show steps
- Review all the formulas covered in the course.
- Organize the formulas by topic or module.
- Write down each formula clearly and concisely.
Review 'Pure Mathematics 1' by Backhouse and Houldsworth
Show steps
Deepen your understanding with a classic textbook that provides a thorough grounding in the core concepts of Pure Mathematics 1.
View
Pure Mathematics
on Amazon
Show steps
- Read the chapters corresponding to the course syllabus.
- Work through the examples and exercises in the book.
- Compare the book's explanations with the course lectures.
Review 'A-Level Mathematics for Cambridge International Examinations' by Neill Bland
Show steps
Supplement your learning with a comprehensive textbook that aligns with the Cambridge A-Level syllabus.
View
Putting Knowledge to Work
on Amazon
Show steps
- Read the chapters relevant to the current course topics.
- Work through the example problems in the book.
- Complete the practice exercises at the end of each chapter.
Help Others in Online Forums
Show steps
Reinforce your understanding by helping other students with their questions and problems in online forums.
Show steps
- Monitor online forums for questions related to the course material.
- Provide clear and helpful answers to student questions.
- Explain your reasoning and provide examples to support your answers.
Create a Summary of Key Concepts
Show steps
Solidify your understanding by creating a concise summary of the key concepts covered in each module.
Show steps
- Review the lecture notes and course materials for a specific module.
- Identify the key concepts and formulas covered in the module.
- Write a concise summary of the key concepts, including examples.
Practice Past Paper Questions
Show steps
Improve exam performance by practicing past paper questions to familiarize yourself with the exam format and question types.
Show steps
- Obtain past papers from the Cambridge International Examinations website.
- Allocate time to solve each paper under exam conditions.
- Review your answers and identify areas for improvement.
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