ADVANCED HIGHER MATHS 2025 | WHOLE COURSE IN 5 HOURS!

This is everything you need to pass your Advanced Higher Maths Exam 2025 in 5 Hours. This covers the whole of SQA Advanced Higher Mathematics for the 2025 SQA Advanced Higher Maths Exams. This is a comprehensive whole course intensive revision video.

Copyright © Scottish Qualifications Authority.
Solutions all my own and not endorsed or produced by SQA.

Join this channel to get access to LAST MINUTE ADVANCED HIGHER MATHS LIVE STREAM ON 11TH MAY AT 7PM:

Be aware, this video and the other "whole of in" videos cannot possibly cover every tiny little thing, especially in 5 hours. These are designed as REVISION Material to supplement your Higher Maths revision. You should be doing higher maths past papers, you should be checking my full course topic revision videos, you should be doing practice higher maths papers and you should be brushing up on key topics with more in depth practice.

This video includes everything in the SQA Advanced Higher Mathematics Exam for 2025. This includes:

TIMESTAMPS:

0:00 - Introduction To Advanced Higher Maths 2025 In 5 Hours!
1:09 - Partial Fractions
7:29 - Differentiation Product Rule
10:56 - Differentiation Quotient Rule
14:28 - Implicit Differentiation
20:26 - Logarithmic Differentiation
23:26 - Parametric Differentiation
30:26 - Differentiation Related Rates Of Change
37:56 - Integration By Substitution
42:25 - Integration By Parts
48:38 - Differential Equations Variables Separate
57:46 - Differential Equations First Order Linear
1:08:27 - Differential Equations Second Order
1:17:06 - Applications Of Calculus Rectilinear Motion
1:23:56 - Applications Of Calculus Volume Of Revolution
1:32:15 - Gaussian Elimination
1:37:58 - Matrices Inverse
1:42:30 - Matrices Transformation
1:49:29 - Complex Numbers Modulus And Argument
2:01:28 - Complex Numbers Operations
2:05:16 - Complex Numbers Solving Equations
2:19:36 - Complex Numbers Locus
2:22:08 - Complex Numbers De Moivres Theorem
2:39:09 - Euclidean Algorithm
2:46:16 - Number Bases
2:49:58 - Proof Direct And Counter Example
2:54:29 - Proof By Contrapositive
3:01:09 - Applying Summation Formulas
3:04:50 - Proof By Induction
3:19:38 - Binomial Theorem General Term
3:26:40 - Arithmetic Sequences And Series
3:36:06 - Geometric Sequences And Series
3:43:00 - Maclaurin Series
4:01:38 - Odd And Even Functions
4:04:16 - Functions Asymptotes
4:15:26 - Graphs Of Related Functions Modulus
4:20:37 - Vectors Equations Of Lines And Planes
4:33:08 - Vectors Intersection Of Lines And Planes
4:42:36 - Vectors Intersection Of Planes

This full 2025 advanced higher maths revision video includes past paper questions from:
SQA Advanced Higher Mathematics 2014
SQA Advanced Higher Mathematics 2015
SQA Advanced Higher Mathematics 2016
SQA Advanced Higher Mathematics 2017
SQA Advanced Higher Mathematics 2018
SQA Advanced Higher Mathematics 2019
SQA Advanced Higher Mathematics 2022
SQA Advanced Higher Mathematics 2023
SQA Advanced Higher Mathematics 2024

I am human, and I make mistakes, please point out any that you find and there is no need to follow that with a load of abuse.

Top Tips:
Always read the question
If you get stuck, rewatch the relevant part of the video.
To get better at maths, push yourself to try the harder examples
Try redoing my examples and see if you can do them yourself.

Thankyou for watching.

[ClellandMaths]

Join this channel to get access to LAST MINUTE ADVANCED HIGHER MATHS LIVE STREAM ON 11TH MAY AT 7PM:

[MythosMan]

Mr. Clelland, you are a legend—a master of your craft, the unparalleled champion of numbers and equations. In a world full of complexities and challenges, you have been our guiding light, transforming the abstract into the profound. With every lesson, you have ignited the spark of curiosity within us, turning fear into fascination. Your brilliance is not just in your knowledge, but in your unwavering belief in each of us, pushing us beyond what we thought was possible. You haven’t merely taught us math—you’ve shaped our very way of thinking. For that, we are forever grateful.

[cumber]

let's go lads, don't let yourself be cooked by the paper, instead start looking at past papers!! whaayyyy

[pareshdubal]

Thank you so much for this, it helped me in Cal-1, though I am in highschool it's useful, I thought you have 1mil+ sub, but you are underrated, 1 sub + 1 like 😁

[okdude-fr]

I hate proof by induction with my whole heart 💔

[xemilyprophetx]

These videos are incredible. Could you do one for Higher Applications of Maths? 😊

[Isreal-rp]

Can you recommend any youtube channel for advanced physics, this really helped thank you sir