05:30

The trapezium rule

04:56

Integration for the area between 2 curves

05:46

Integration of curves below the x-axis

05:25

Indefinite vs definite integration

07:56

Simple trigonometric identities

07:36

Determining the nature of stationary points

07:57

Increasing and decreasing functions

08:43

Trig tables

08:13

sin, cos and tan - definitions and graphs

09:51

Infinite geometric series

09:52

Finite geometric series

11:26

Growth and decay problems

07:53

Geometric sequences

06:24

Area of a segment of a circle

06:25

Formula for the area of a sector of a circle

04:48

Formula for the arclength of a circle

06:00

Introduction to radians

08:25

The Binomial theorem

04:50

Factorials and combinations

05:53

Pascal's triangle for binomial expansions

07:20

Intersection of a circle and a line

06:11

The equation of a circle

03:58

Distance between two points

05:23

Midpoint of a line segment

05:31

Solving logarithmic equations

01:59

Proof of the change of base formula

03:10

Change of base formula

05:59

Proving the laws of logarithms

07:14

The laws of logarithms

06:52

Intro to exponentials and logarithms

03:46

Proof of formula for area of a triangle using sine

03:43

Area of a triangle using sine

06:07

Proof of the cosine rule

04:12

The cosine rule

04:46

Sine rule for 2 missing angles

04:11

Proof of the sine rule

05:26

The sine rule

07:00

The remainder theorem

09:00

The factor theorem

07:59

Polynomial division

07:26

Gauss coming in clutch - MIT integration bee (2020 qualifiers, Q20)

07:48

Do this in your head - MIT integration bee (2020 qualifiers, Q19)

02:46

The answer is right there - MIT integration bee (2020 qualifiers, Q18)

04:54

The sec and tan connection - MIT integration bee (2020 qualifiers, Q17)

07:34

3 solutions to 1 integral - MIT integration bee (2020 qualifiers, Q16)

07:48

An unusual approach - MIT integration bee (2020 qualifiers, Q15)

06:20

An interesting integral - MIT integration bee (2020 qualifiers, Q14)

03:25

Don’t do this - MIT integration bee (2020 qualifiers, Q13)

05:10

Follow the natural approach - MIT integration bee (2020 qualifiers, Q12)

10:42

A whole bunch of techniques - MIT integration bee (2020 qualifiers, Q11)

25:21

Oxford Maths Admissions Test (MAT) 2018 Q5

24:52

Oxford Maths Admissions Test (MAT) 2018 Q4

02:03

Easier than it looks - MIT integration bee (2020 qualifiers, Q10)

22:03

Oxford Maths Admissions Test (MAT) 2018 Q3

27:16

Oxford Maths Admissions Test (MAT) 2018 Q2

12:17

A nightmare integral - MIT integration bee (2020 qualifiers, Q9)

06:14

Oxford Maths Admissions Test (MAT) 2018 Q1.J

05:21

Oxford Maths Admissions Test (MAT) 2018 Q1.I

03:57

Starting is the hardest part - MIT integration bee (2020 qualifiers, Q8)

03:47

All about trig identities - MIT integration bee (2020 qualifiers, Q7)