13:12
Introduction to the Three Forms of Complex Numbers
1:53
Finding Real and Complex Roots of a Polynomial
1:54
Real and Complex Roots of a Polynomial
13:15
16 'Must Know' Complex Numbers - great exam revision
9:25
Adding an Exponential Form Complex Number to a General Form Complex Number
4:58
Is Santa Claus Real or Imaginary in 2023?
6:15
A Complex Quadratic Equation with a Twist
13:46
There are ten solutions to this equation - only one is obvious!
6:36
How to Calculate when Complex Number Expressions are Real or Imaginary
10:06
How to Solve Simultaneous Equations with Complex Variables
6:32
How to Evaluate Complex Expressions inside a Modulus
10:11
Using Loci in the Argand Diagram to Find the Range of Arg(z)
5:09
How to integrate sin (x) to the power of n for any odd 'n'
5:51
How to integrate cos (x) to the power of n for any odd 'n'
11:04
Express powers of cos(θ) and sin(θ) in terms of cos(nθ) and sin(nθ) using de Moivre's Theorem
9:36
Express cos(nθ) and sin(nθ) in terms of powers of cos(θ) and sin(θ) using de Moivre's Theorem
9:55
How to Expand (a +/- b)^n Quickly - saves a LOT of time in exams
9:11
How to integrate sin (x) to the power of n for any even 'n'
5:01
How to integrate cos (x) to the power of n for any even 'n'
11:18
Summing cos(θ) + cos(2θ) + .. + cos(nθ) and sin(θ) + sin(2θ) + .. + sin(nθ)
6:24
Summing an infinite series involving cos(kθ)
8:10
Transformation of straight line 2y = x under Mobius Transformation w = 3/(2 - z)
5:59
Two Methods to Find when a Function and its Inverse Intersect - One is Much Quicker
5:33
How to find f-1(a) from f(x) without Calculating the Inverse Function
27:48
EVALUATING FUNCTIONS - 25 Must Know College Entrance Exam Questions
13:02
FUNCTIONS - 25 Must Know College Entrance Exam Questions
9:31
Find the Orange Area around the Smiley Face
6:26
Domain of Composite of Three Functions - most people get this wrong
7:52
Find the Area Shaded in Orange - Two Useful Methods
Great Olympiad Trick - No need find f(x) to solve this.
13:38
Injective (one to one) and Surjective (onto) Functions Review
3:59
How to Solve a Logarithmic Equation with Different Bases
11:41
Finding the Domain of a Function Consisting of Multiple Functions
3:56
Distributing IDENTICAL Objects between DISTINCT Recipients with Lower Limit Constraint
12:29
Dealing with Powers of Roots of Quadratic Equations
7:28
Distributing IDENTICAL Objects between DISTINCT Recipients with Upper and Lower Limit Constraints
3:24
Counting non-Negative Integer Solutions to x + y + z = 21 with Constraints
7:58
Changing Base of Powers and Logs to Simplify a Tricky Expression
5:54
Distributing IDENTICAL Objects between IDENTICAL Containers
9:14
Distributing DISTINCT Objects between IDENTICAL Boxes
5:05
Distributing DISTINCT Objects between DISTINCT Recipients
8:09
Using Well Known Trig and Log Limits to Find more Complex Limits
0:58
Evaluating a Limit with Conjugates #limits #mathsolympiad #conjugate
0:51
Arranging People in a Circle Given a Constraint #maths #jeemains #counting #permutations
0:56
Can You Correctly Count the Number of Possible Integers? #maths #jeemains #counting #permutations
0:59
How Many Three Digit Numbers Contain a Twice Repeated Digit? #maths #jeemains #counting
0:43
What is the Domain of this Arcsin Composite Function? #domainandrange #compositefunction #maths
What is the Domain of this Logarithmic Function? #domain #compositefunction #maths
5:26
Finding the Square Root of a Complex Number to Solve a Quadratic Equation with Complex Coefficients
5:29
Inequality Trap for the Unwary
4:24
Summing By Inspection a Series with nth term n(n+1)(n+2)(n+k)
0:54
Can You Simplify this Log with an Unusual Base? #logarithms #maths
17:15
PARABOLAS - A Revision Guide
1:00
What is the Equation of a Reflected Parabola? #parabola #conics #maths
8:56
Quick Method to Find Intersection Coordinates of a Focal Chord of a Parabola
What are the Roots of this Quadratic Given its Focus and Vertex? #parabola #quadratic #maths
How Many Ways Could Sunrisers Have Scored 277? #sunrisershyderabad #permutations #maths #t20cricket
7:11
Finding the Tangent and Normal of a Parabola
What are the Coordinates of Intersection of the Circle and the Parabola? #parabola #circles #maths
Which Rotation Matrix Reunites Isabel with her Dog Fido? #circles #matrices #maths
8:18
How to Find the Cartesian Equation of a Rotated Parabola
What is the Equation of the Red Circle given the Blue Tangent? #circles #equationofcircle #maths
14:15
Transformations Reviewer: Reflections, Translations and Stretches
0:57
Which Transformation is NOT a Linear Transformation? #transformations #lineartransformation #maths
7:38
Show that all Rays Reaching a Parabolic Mirror from Space Reflect onto its Focus
9:06
How to Transform a Rectangular Hyperbola
11:55
How to Calculate a Homogeneous Transformation Matrix
0:55
Which Sequence of Transformations Solves this Puzzle? #transformations #mathstricks #mathshorts
0:47
An Interesting Inverse Matrix Teaser #matrices #mathshorts #inverseofmatrix
0:50
A Power Rule Teaser #powerrule #exponents #maths
0:34
Disentangling a Log of a Log of a Log #logarithms #maths
Simplifying a Determinant by Taking out Factors #determinants #3x3matrix #matrices
For what Values does this Cubic Have One Real Root? #cubicequation #quadratic #maths
16:18
Absorbing Markov Chains, Total Probabilities and Recursion
22:10
Absorbing Markov Chains Solved with Transition and Solution Matrices
Can You Correctly Evaluate this Composite Function? #compositefunction #maths
13:28
How to Solve Coin Toss Problems Using Markov Chains
Can You Evaluate this Nested Composite Function? #compositefunction #maths
How Many Sets of Positive Integers satisfy xyz=360? #maths #counting #permutations
17:08
Connecting Definite Integrals, Limits to Infinity of Sums and Riemann Sums
0:38
Can You Correctly Count the Number of Possible Arrangements? #maths #counting #permutations
7:53
Volume of Solid of Revolution and Rate of Change Question - Great Practice!
0:42
Can You Correctly Count the Arrangements NOT in Alphabetical Order? #maths #counting #permutations
8:04
Introduction to Premises, Conclusions and Valid or Invalid Arguments
Can You Solve this Limit of a Function Problem? #limits #mathsshorts #maths
What is the Equation of the Gradient at the Origin? #mathsshorts #maths #differentiation
Can You Solve This Quartic Polynomial Root Problem? #quarticequation #mathsshorts
4:27
L'Hopital Trap for the Unwary
To what Value does this Sequence Converge? #mathsshorts #mathstricks #sequences
13:16
Maclaurin Series Expansions and Partial Fractions
12:55
Taylor Series Expansions and Approximations
Can You Correctly Calculate Tan (x)? #mathsshorts #maths #trigonometry
7:35
Two Correct (and One Incorrect) Methods to Find this Limit
0:41
Can You Count the Number of Possible Seating Arrangements? #maths #counting #permutations
Quick Method to Find Interval of Convergence of Taylor Series Expansion of a/(bx+c) about a Point
Can You Correctly Evaluate this Tricky Power Tower Expression ? #powerrule #exponents #maths
0:52
Where does the Line intersect the Plane? #maths #mathsshorts #straightline
Can You Solve This Tricky Exponential Equation? #exponentialequation #maths #mathsshorts
13:08
Can you Correctly Calculate these Playing Card Probabilities?
Can You Solve This Tricky Exponential Surd Puzzle? #exponentialequation #maths #mathsshorts
11:33
A Differentiation Proof by Mathematical Induction
7:29
Introduction to Proofs by Mathematical Induction
3:52
A Divisibility Proof by Mathematical Induction
13:42
A Trigonometric Summation Proof by Mathematical Induction
11:53
A Combinatoric Summation Proof by Mathematical Induction
10:24
An Intriguing Series Summation Linked to Combinatorics and Subset Counting
15:58
The Tower of Hanoi, Recurrence Relations and Proof by Induction
1:18
Can you Correctly Arrange these Graphs in Ascending Order of Gradient? #mathsshorts #graphs
A First Order Recurrence Relation Proof by Mathematical Induction
7:42
An Intriguing Exponential Equation - the answer isnt 6!
8:03
A Second Order Recurrence Relation Proof by Mathematical Induction
8:07
Introduction to Proofs by Contradiction
14:05
Answering 'Show there are NO Integer Roots of a Polynomial' Exam Questions
16:11
Introduction to Continuous Random Variables
1:23
How many Months until Florence is a Millionaire? #mathsshorts #mathstricks #compoundinterest
11:35
Probability Density Functions f(x) of Continuous Random Variables
1:25
Can You Crack this Arithmetic Progression Puzzle? #mathsshorts #arithmeticprogression
1:21
Can You Evaluate this Complex Number to Power 100? #mathsshorts #polarform #complexnumbers
12:48
Expected Value and Variance of Continuous Random Variables
1:39
Can You Find Billy's Expected Score in this Fairground Darts Game? #mathsshorts #expectedvalue
11:48
Median, Mode and Mean of a Continuous Random Variable
1:14
How Long Till Ariana Swift's Followers Pass One Billion? #mathsshorts #wordproblems #arianaswift
There is a Trick to Sum this Series - Can you Find It? #mathsshorts #mathstricks #summingseries
Can Shubman Kohli Win the Cricket Match with a Six on the Last Ball? #mathsshorts #wordproblems
Can you Solve this Tricky Log (Log) Equation? #logarithms #mathsshorts
Can you Correctly Simplify this Tricky Log (Log) Expression? #logarithms #mathsshorts
12:10
Cumulative Distribution Function F(x) of a Continuous Random Variable X
1:17
If you Found a Pyramid-Shaped Gold Nugget, Could You Divide it Properly? #pyramid #mathsshorts
5:25
A Tricky 'Transformation of Roots of a Cubic' Question
1:01
Can you Solve this First Order Differential Equation? #mathsshorts #maths #differentialequation
5:06
How to Solve Harder Rational Inequalities
15:01
Solving a Quartic Polynomial Question with Vieta's Formulae
1:24
What Inflation Rate Reduces $100 to $1 in 100 Years? #mathsshorts #mathstricks #inflation
1:02
Can you Find the Smallest Value of xy which Satisfies this Equation? #mathshorts #primenumbers
8:58
A Cool Method Solves this Quickly Without Using Vieta's Formulae
1:28
How many Months until Daisy has Twice as much Money as Edward? #mathsshorts #compoundinterest
Can You Solve this Arithmetic Progression Teaser? #mathsshorts #arithmeticprogression
1:09
What is the ONLY 3-digit Number which is 14 times the Sum of its Digits? #mathsshorts #diophantine
1:04
Can You Solve this Classic Trigonometric Equation? #mathsshorts #maths #trigonometry
3:58
An Intriguing Differential Equation Solved by Separation of Variables
13:37
Introduction to L'Hopital's Rule for Limits of Indeterminate Forms
2:09
An Intriguing Mosquito Population Differential Equation Question #mathsshorts #differentialequation
5:21
Great Practice using L'Hopital's Rule
1:20
Can You Find the Square Root of a Complex Number? #mathsshorts #complexnumbers #squareroot
1:30
Can you Differentiate this Complex-Valued Function? #mathsshorts #differentiation #complexnumbers
1:07
How Many Vertices in this Graph Given the Number of Edges? #mathsshorts #graphtheory
1:13
Can You Find the Area of a 3D Triangle Given its Vertices? #mathsshorts #crossproduct #triangle
Can you Find the Maximum Value of the Function Given the Constraint? #mathsshorts #differentiation
Two Arcsin Under a Square Root - Double Ouch! #mathsshorts #maths #trigonometry
1:12
Finding the Area of a Triangle in 3D Space #mathsshorts #crossproduct #triangle
Can You Convert This Language Statement to a Logic Statement? #logicalreasoning #mathsshorts
15:29
Introduction to Volumes of Solids of Revolution
1:19
Can You Find ALL Solutions to this Trigonometric Equation? #mathsshorts #maths #trigonometry
What is the Probability that Today is the Birthday of Exactly Two People in a Queue? #probability
6:23
Finding the Volume about Both x and y axis of the Solid of Revolution of a Region
Can You Multiply the Multiplicative and Additive Inverse of a Complex Number? #mathsshorts
7:17
How To Solve Composite Function Limits by L'Hopital's Rule - Two Methods
0:46
How Good Are You at Simplifying Logic Statements? #logicalreasoning #mathsshorts
1:08
Can you Find the Limit of this Complex-Valued Function? #mathsshorts #lhopital #complexnumbers
Can You Evaluate this Power Tower Teaser? #powerrules #exponents #mathsshorts
1:06
How Good Are You at Changing Bases of Logs? #logarithms #mathsshorts
0:44
Can You Solve This Tricky 'Surd in Exponent' Teaser? #exponentialequation #maths #mathsshorts
Can you Find the Two Asymptotes of this Function's Graph? #mathsshorts #graphs #asymptotes
How Are You at Maclaurin Series Expansions? #mathsshorts #maclaurinseries #maclaurinexpansion
10:34
How to Find the Limit of a Complex-Valued Function
1:10
Can You Solve this Matrix Equation? #matrices #mathshorts #imatrixequation
0:27
A Very Common Spanning Tree Exam Question - Don't Lose Easy Marks #mathsshorts #graphtheory
Can You Sort Out This Power Series Expansion? #mathsshorts #maclaurinseries #maclaurinexpansion
1:31
Can You Do This Tricky Riemann Sum? #mathsshorts #riemann #integration
12:47
How To Find Volumes of Solids of Revolution Using the Cylindrical Shells Method
15:46
How To Find Volumes of Solids of Revolution about Diagonal Axes
This Teaser Looks Far Harder Than It Actually Is #mathsshorts #maclaurinseries #maclaurinexpansion
Can You Find the Equation of a Plane Given Three Points? #maths #mathsshorts #equationofplane
How Are You At Solving Vector Equations? #mathsshorts #crossproduct #vectorequation
0:40
How Many Ways Can 3 Identical Coins be Placed so None are in the Same Row or Column? #mathsshorts
How Well Can You Apply the Ratio Test to this Summation? #mathsshorts #ratiotest
Can You Simplify This Logic Statement? #logicalreasoning #mathsshorts
7:07
Solve by Inspection 'Finding 'a' Where ln(x)=ax^n has One Real Solution' type Questions
Can You Solve This Recurrence Relation Teaser? #mathsshorts #recurrencerelation #recurrence
1:05
Can You Find the Distance between Two Parallel Planes? #maths #mathsshorts #equationofplane
1:37
How Good Are You at Finding Maximum Values of Functions? #mathsshorts #differentiation
What is The Probability that No Card is Next to a Same Coloured Card in a Deck of 52? #mathsshorts
What is The Probability that No Red Card is Next to another Red Card in a Deck of 52? #mathsshorts
1:26
Surely There is Not Enough Information to Answer this Integer Root Teaser? #mathsshorts #integerroot
Can You Solve This 'Surd in Exponent' Teaser? #exponentialequation #maths #mathsshorts
0:48
When is this Matrix Non-Invertible? #matrices #mathshorts #inverseofmatrix
Can You Find the Orthogonal (Perpendicular) Vector? #mathsshorts #crossproduct #vectors
5:22
Solving Equations involving the Inverse Trigonometric Functions
Can You Sum this Tricky Looking Series? #mathsshorts #mathstricks #summingseries
What is the Variance of the Sum of the Scores on Three Rolled Dice? #mathsshorts #variance
1:46
Can You Solve this Trig Equation Without Using any Trig Formulae? #mathsshorts #graphs #trigonometry
Can You Solve this Transformation of Roots Teaser? #mathsshorts #transformationofroots
Can You Evaluate this Seemingly Very Tricky Series Summation Fraction? #mathsshorts #summingseries
Can You Evaluate This Tricky Looking Log Integral? #mathsshorts #integration #logarithms
1:52
This is Not an Easy Limit to Find - Can You Do It? #mathsshorts #lhopital #limits
1:35
What is the Probability of More Bowlers than Batters in This Cricket Team? #perms #mathsshorts
Can You Solve This Tricky 'Quadruple Root Tower' Teaser? #mathsshorts #roots
Can You Find p and q Given that the Equations Share a Root? #mathsshorts #rootofequation
Can You Solve this Sum of ArcTan Inside Cos? #mathsshorts #maths #trigonometry #arctan #arccos
Can You Work Out What f(x) Is? #compositefunction #mathsshorts #mathstricks
