YouTube Higher Mathematics Video Links

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Straight Line

Video 1 – Equation of a straight line – https://youtu.be/DObu39w1kTw

Video 2 – Special Lines – https://youtu.be/Y10ix9SiE3w

Video 3 – m = 𝑡𝑎𝑛𝜃 – https://youtu.be/2JJMDBYg5OM

Video 4 – Perpendicular lines – https://youtu.be/viHI7K4noXQ

Video 5 – Altitude – https://youtu.be/cw4mEMnQ7Xs

Video 6 – Perpendicular bisector – https://youtu.be/lbY-Mz7BWsE

Video 7 – Medians – https://youtu.be/qeGC5FII_pw

Video 8 – Intersecting lines – https://youtu.be/2q7RiTLQjWE

Video 9 – Collinearity – https://youtu.be/-5ArFOJtphM

Vectors

Video 1 – Revision of National 5 – https://youtu.be/P5W_yqF5tUc

Video 2 – Magnitude and unit vector – https://youtu.be/5quysJyXL6Y

Video 3 – Basis vectors – https://youtu.be/PFbFQYVranw

Video 4 – The zero vector – https://youtu.be/KLsW5FrkeyQ

Video 5 – Collinearity – https://youtu.be/br9DXTt-T5Q

Video 6 – Section formula – https://youtu.be/7WFsUBiw-t8

Video 7 – Dividing a line in a given ratio – https://youtu.be/ytHiVN9_nek

Video 8 – Scalar product with an angle – https://youtu.be/MsLSVIKPoyU

Video 9 – Scalar product with components – https://youtu.be/th1ZLjuy89s

Video 10 – Angle between two vectors – https://youtu.be/tk0ZjHqbz7w

Quadratics & Polynomials

Video 1 – Sketching quadratics – https://youtu.be/Vc9m0j5SeeE

Video 2 – Solving quadratic inequalities – https://youtu.be/huaMwHNbRtU

Video 3 – The discriminant – https://youtu.be/BBGowxmEsKA

Video 4 – Completing the square – https://youtu.be/nS4URJyFwmM

Video 5 – The equation of a parabola – https://youtu.be/l1HSmaQhjwk

Video 6 – Intersection of lines and parabolas – https://youtu.be/kjzFunz7djw

Video 7 – Polynomials and synthetic division – https://youtu.be/5SvcqQULZtM

Video 8 – Finding unknown coefficients – https://youtu.be/NDlqJMa4z8g

Video 9 – Find the intersection of curves – https://youtu.be/nPLWi1f4ctE

Video 10 – Determining the equation of a curve – https://youtu.be/GDRoxEv_HDk

Differentiation

Video 1 – Introduction to differentiation – https://youtu.be/qfgM0NTMxak

Video 2 – Differentiating more complex variables – https://youtu.be/q76tZN9RAvc

Video 3 – Differentiating other variables and rate of change – https://youtu.be/MmNIZLhGZ7U

Video 4 – Equations of tangents – https://youtu.be/5SE_6cb5xjQ

Video 5 – Increasing and decreasing curves – https://youtu.be/VZ_Qd9XyK9M

Video 6 – Stationary points – https://youtu.be/0jQ_LcsxeYw

Video 7 – Points of Inflexion – https://youtu.be/ibF6KOSDhaU

Video 8 – Curve sketching – https://youtu.be/BZzE24uJcm0

Video 9 – Closed intervals – https://youtu.be/TY8LOVZnLec

Video 10 – Graphs of derivatives – https://youtu.be/BnkewWV1uyY

Functions and Graphs

Video 1 – Graph transformations translation – https://youtu.be/hZhyQgs7mRM

Video 2 – Graph transformations reflection – https://youtu.be/-gTVh3tgEic

Video 3 – Graph transformations scaling – https://youtu.be/TyKbbUS1BPE

Video 4 – Composite functions – https://youtu.be/bafWExKeTCo

Video 5 – Inverse functions – https://youtu.be/U54ktQoKqhI

Video 6 – Exponential, log and Trig graphs – https://youtu.be/1JvLwQggftk

Integration

Video 1 – Introduction to integration – https://youtu.be/8rFL_HWgLOc

Video 2 – Preparing to integrate – https://youtu.be/m2-_Y2Z-tDc

Video 3 – Differential equations – https://youtu.be/-W04dYu2Umo

Video 4 – Definite integrals – https://youtu.be/HbvF1KhmEno

Video 5 – Area under a curve part 1 – https://youtu.be/vzSVB0hUf5Q

Video 6 – Area under a curve part 2 – https://youtu.be/09sxrAT9i1Q

Video 7 – Area between two curves – https://youtu.be/vuQsh5kxuPw

Trigonometry

Video 1 – Solving basic trig equations – https://youtu.be/S6ym0aXaA0Q

Video 2 – Solving quadratic trig equations – https://youtu.be/0mDkq-huZoc

Video 3 – Solving trig equations in radians – https://youtu.be/XH2WWk_W8Ak

Video 4 – Trig equations involving a double angle – https://youtu.be/LiCG3VgxNdQ

Video 5 – Compound angles sine rule – https://youtu.be/PS918DK0FAI

Video 6 – Compound angles cosine rule – https://youtu.be/8CDtQ97_vQ0

Circle

Video 1 – Circle with centre the origin – https://youtu.be/5wUYQBEoBzI

Video 2 – Circle with centre (a,b) – https://youtu.be/SHRnoq6pVVo

Video 3 – The general equation of a circle – https://youtu.be/WytLvq5jlig

Video 4 – Intersection of a line and a circle – https://youtu.be/joFn43M6W1Q

Video 5 – Equation of a tangent to a circle – https://youtu.be/mOixxO0dAbE

Video 6 – Intersection of circles – https://youtu.be/EeUq2KBQ-9k

Further Calculus

Video 1 – Differentiating sinx and cosx – https://youtu.be/Egm3aZ2yyMc

Video 2 – Differentiation using the chain rule – https://youtu.be/UxQG2Pd5CJA

Video 3 – Integrating sinx and cosx – https://youtu.be/wHcSCVomoCM

Video 4 – Integrating using the chain rule – https://youtu.be/K3ziWtalZOk

Logs and Exponentials

Video 1 – Evaluating logs – https://youtu.be/llOSEZR4LMQ

Video 2 – Rules of logs – https://youtu.be/hg0dTOjeRj0

Video 3 – Solving log equations – https://youtu.be/7YT8LUMc7nY

Video 4 – Special number e – https://youtu.be/_1CLQpkss0A

Video 5 – Experimental data – https://youtu.be/rB70A0B_mSk

Video 6 – Graphing with logarithmic axes – https://youtu.be/wXhQTDqIfa0

Wave Function

Video 1 – Introduction of the wave function – https://youtu.be/K0liToRX97Q

Video 2 – Other forms of the wave function – https://youtu.be/eG9r2hLzjIQ

Video 3 – Multiple angles and the wave function – https://youtu.be/GmBi9wUpGJQ

Video 4 – Maximum and minimum values – https://youtu.be/F4t-S0uEbBs

Video 5 – Solving equations using the wave function – https://youtu.be/Z172fk5bR-c

Recurrence Relations

Higher Mathematics Recurrence Relations Video

Video 1 – Introduction to recurrence relations – https://youtu.be/qbmQt7dBQTk

Video 2 – Finding the limit of a recurrence relation – https://youtu.be/tAvxAx7Mo4s

Video 3 – Finding the value of a and b in a recurrence relation – https://youtu.be/k6AhH_Ac_P4