Higher Maths Study Pack
Everything you need to know for Higher Maths
Let's be honest, Higher Maths is challenging! Unless you've been blessed with crazy Maths skills you'll have to work hard to be successful on this course.
But although it's challenging, a small amount of regular effort can go a long way to making success much more likely! That's because there's a lot of crossover in the topics, so improving in one area can ripple through others. For example, the better you are with Trig Exact Values the easier Trig Equations become . . . or the more skill you have working with Functions the easier Differentiation is.
I've tutored hundreds of Higher students of all abilities so I know the common stumbling blocks and challenges. I've created the resources here to reflect that experience and focus on the core skills you'll need to tackle the final exam. So don't give up! I've seen many students dramatically improve and achieve high marks when all seemed lost . . . but it does require some practice and persistence. Use the resources here to help improve your skill level and prepare for the final exam.
The study pack pack contains:
Concise instructional materials for each topic
Examples of typical questions
Practice questions and step by step solutions
Step by step solutions for all past Higher Maths papers.
Students often tell me they don't know where to start in preparing for the Higher maths exam. Start here! I provide the materials, you do the work, you get the result you want, simple!
Your Instructor
Gary is a Mathematician and Environmental Philosopher who is committed to learning and sharing his knowledge with others.
Gary has a First Class honours degree in Pure Mathematics (The University of St. Andrews) and an MSc in Environment, Culture & Society (The University of Edinburgh).
During his undergraduate degree he specialised in topics in the areas of Number Theory and Real Analysis. He brings a deep theoretical understanding of the topics he teaches but aims to deliver them in a lighthearted and accessible manner.
He believes that Mathematics is a skill which can be improved with (just a little!) practise!
Following a ten year career in the oil industry Gary now splits his time between teaching Maths and writing about the natural environment. His personal interests include hiking, yoga, and travel, and he is an keen reader of environmental philosophy.
See more at www.teachmemath.net and www.humanmeetsnature.com
Course Curriculum

StartExponentials and Logarithms

StartTrigonometric Functions Overview

StartTrigonometric Exact Values

StartWorking with Radians

StartThe Addition Formulas

StartThe Wave Function

StartThe Double Angle Formulas

StartProving Trigonometric Identities

StartGraphs of Transformed Functions

StartDomain and Range of a Function

StartComposite Functions

StartInverse Functions

PreviewCollinearity

StartScalar Product and Angle Between Vectors

StartPolynomials

StartThe Remainder Theorem

StartThe Graph of a Cubic Function

StartX and Y Intercepts

StartStraight Line and Polynomial Intersection

StartUsing the Discriminant

StartTrigonometric Equations in Degrees

StartTrigonometric Equations in Radians

StartTrigonometric Equations involving Identities

StartThe Power Rule for Differentiating

PreviewThe Chain Rule for Differentiation

StartDifferentiating Trigonometric Functions

StartThe Equation of a Tangent to a Curve

StartRates of Change

StartThe Stationary Points of a Function

StartThe Nature of Stationary Points of a Function

StartDetermining Where a Function is Increasing and Decreasing

StartThe Power Rule for Integration

StartThe Chain Rule for Integration

StartIntegrating Trigonometric Functions

StartSolving Simple Differential Equations

PreviewDefinite Integrals