High School A-Level Pure Mathematics 1 Made Easy

An easy-to-understand guide to the Cambridge A-level Pure Mathematics Course (Paper 1)
What you'll learn
Number families, surds and indices
Rationalizing a denominator
Functions and relations
Compound (composite) functions
Coordinate geometry
Quadratics
Requirements
GCSE Mathematics or equivalent level of prior mathematical knowledge
Description
Are you finding pure mathematics confusing? Are you overwhelmed by complex concepts, intimidating formulae, and mathematical jargon? Are you looking for an easy-to-understand, video-based learning platform to help you ace your exams?Well if so, then this course is perfect for you! I designed this mathematics course combining my years of experience, teaching at one of the most prestigious high schools in South Africa. Through my teaching methods I helped countless students demystify mathematical concepts; grow in their mathematical confidence; and attain top results in their year-end exams. A-level Pure Mathematics 1 Made Easy is an easy-to-understand video-based learning platform, which is designed to fit hand-in-hand with the prescribed Cambridge Pure Mathematics A-level textbook. The visual-learning based format of the course accelerates learning, and provides an engaging delivery mechanism for the study of mathematics. Many of my previous students have found the use of visual aids or animations to be an invaluable tool in understanding more complex mathematical concepts. As a result I have combined some of the most helpful illustrations and examples into the course material. This course provides a conversational-style and concise learning resource, which acts as an invaluable tool for students studying in full-time learning institutions, and also for students studying via distance learning. This course is recommended for students studying for their A-level mathematics qualification through the Cambridge University syllabus. It is however also applicable to almost all of the coursework contained in the Oxford A-level mathematics syllabus as well.
Overview
Section 1: Chapter 1: Number Families, Surds and Indices
Lecture 1 Number Families
Lecture 2 Surds and Indices
Lecture 3 Rationalizing a Denominator
Section 2: Chapter 2: Functions
Lecture 4 Functions
Lecture 5 Domain and Range
Section 3: Chapter 3: Coordinate Geometry
Lecture 6 Coordinate Geometry
Lecture 7 Straight-line Graphs
Section 4: Chapter 4: Quadratics
Lecture 8 Polynomials
Lecture 9 Quadratic Functions
Lecture 10 Quadratic Functions Worked Examples
Lecture 11 The Quadratic Formula
Lecture 12 The Discriminant
Lecture 13 Disguised Quadratics
Lecture 14 Quadratic Inequalities
Lecture 15 Completing the Square
Lecture 16 Summary
Section 5: Chapter 5: Trigonometry
Lecture 17 Trigonometry
Lecture 18 Reference Angles
Lecture 19 Special Angles
Lecture 20 Graphs of Trigonometric Functions and the CAST Diagram
Lecture 21 Negative Angles
Lecture 22 Compound Angles
Lecture 23 Trigonometric Equations
Lecture 24 General Compound Angles
Lecture 25 Trigonometric Identities
Section 6: Circular Measure
Lecture 26 Circular Measure
Lecture 27 Arc Length and Sector Area
Lecture 28 Graphs of Trigonometric Functions in Radians
Lecture 29 Solving Trigonometric Equations in Radians
Lecture 30 Summary
Section 7: Vectors
Lecture 31 Vectors
Lecture 32 3D Vectors
Lecture 33 Different Types of Vectors
Lecture 34 Dot Product of Vectors
Lecture 35 The Angle Between Vectors
Lecture 36 Parallel and Perpendicular Vectors
Section 8: Sequences and Series
Lecture 37 Sequences and Series
Lecture 38 Arithmetic Series
Lecture 39 Geometric Series
Lecture 40 Converging Geometric Series
Lecture 41 Binomial Series
Lecture 42 Using Combination Functions for Binomial Expansions
Lecture 43 Pascal's Triangle and the Combination Function
Lecture 44 Summary
Section 9: Differentiation
Lecture 45 Differentiation
Lecture 46 General rules for Differentiation
Lecture 47 The Chain Rule
Lecture 48 The Chain Rule Mental Substitution
Lecture 49 The Second Derivative
Section 10: Integration
Lecture 50 Integration
Lecture 51 Using Integration to Calculate Areas
Lecture 52 Integrating Compound Functions
Lecture 53 Definite Integrals
Lecture 54 Definite Integrals and Total Area
Lecture 55 The Area Between Two Lines
Lecture 56 Improper Integrals
Lecture 57 Volumes of Revolution about the x-axis
Lecture 58 Volumes of Revolution about the y-axis
Lecture 59 Summary
A-level students wishing to write the Cambridge paper 1 pure mathematics exam

Homepage

https://www.udemy.com/course/a-level-pure-mathematics-1-made-easy-free-tutorial/