Skip to main content

Geometry Lectures by Nigel Simmons

Lectures from 2014-2015 from teacher Nigel Simmons.



rss RSS

975
RESULTS


Show sorted alphabetically

Show sorted alphabetically

SHOW DETAILS
up-solid down-solid
eye
Title
Date Published
Creator
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 32

favorite 0

comment 0

Solving equation involving trig
Topic: trigonometry
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 216

favorite 0

comment 0

Maniplulating complex numbers in mod arg form
Topics: complex numbers, mod arg
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 27

favorite 0

comment 0

Taking slices perpendicular to the axis of rotation
Topics: volume, discs, washers
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 369

favorite 0

comment 0

How do we turn the general equation of the hyperbola into the rectangular hyperbola that we are used to seeing?
Topics: conics, hyperbola, rectangular hyperbola
Geometry Lectures by Nigel Simmons
audio

eye 35

favorite 0

comment 0

Integrating functions with a quadratic in the denominator
Topic: integration
Geometry Lectures by Nigel Simmons
audio

eye 41

favorite 0

comment 0

What forces are involved with uniform circular motion?
Topic: circular motion
Geometry Lectures by Nigel Simmons
audio

eye 149

favorite 0

comment 0

Definitions and initial theorems
Topics: geometry, angles
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 147

favorite 0

comment 0

When the order does not matter, we get a combination rather.
Topics: probability, combination
Geometry Lectures by Nigel Simmons
audio

eye 29

favorite 0

comment 0

Using the derivative to measure a rate of change
Topic: rates
Geometry Lectures by Nigel Simmons
audio

eye 193

favorite 0

comment 0

Using geomtric eries to look at superanuation and time payments.
Topics: series, geometric series, finance formulas
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 39

favorite 0

comment 0

Logarithms and how to use them.
Topic: logarithm
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 246

favorite 0

comment 0

The basic counting principle, which leads into the idea of permutations, is a way of finding the number of items in the sample space without actually listing them.
Topics: probability, permutations, basic counting principle
Geometry Lectures by Nigel Simmons
audio

eye 27

favorite 0

comment 0

Extending the basic model to take into account some external condition
Topics: growth, decay
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 436

favorite 0

comment 0

Performing calculus on the log function
Topics: lgarithms, differentiation
Geometry Lectures by Nigel Simmons
audio

eye 38

favorite 0

comment 0

How to differentiate a logarithmic function
Topics: calculus, logarthm, differentiation
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 26

favorite 0

comment 0

generalising the theorem
Topic: binomial
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 386

favorite 0

comment 0

Defining the logarithmic function and the laws for their manipulation.
Topic: logarithm
Geometry Lectures by Nigel Simmons
audio

eye 146

favorite 0

comment 0

Working with velocity and acceleration when they are expressed a s a function of displacement
Topic: dynamics
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 26

favorite 0

comment 0

Using travel graphs to define some terms
Topic: travel graphs
Geometry Lectures by Nigel Simmons
audio

eye 281

favorite 0

comment 0

Restricting the domain of thetrig functions so that the inverse trig functions can be found
Topics: inverse trig, inverse functions
Geometry Lectures by Nigel Simmons
audio

eye 193

favorite 0

comment 0

Defining the inverse trig functions
Topic: inverse trig
Geometry Lectures by Nigel Simmons
audio

eye 257

favorite 0

comment 0

How to find the greatest coefficient (term) of a binomial expansion.
Topic: binomial theorem
Geometry Lectures by Nigel Simmons
audio

eye 342

favorite 0

comment 0

Breaking motion into its horizontal and vetical components
Topics: motion, projectile
Geometry Lectures by Nigel Simmons
audio

eye 276

favorite 0

comment 0

Motion where acceleration is directly proportional to displacement
Topic: shm
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 27

favorite 0

comment 0

Techniques for factorising
Topics: algebra, factorising
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 27

favorite 0

comment 0

Manipulation of surds
Topic: surds
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 127

favorite 0

comment 0

The basic surd laws and surd arithmetic.
Topic: surds
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 180

favorite 0

comment 0

Defining real numbers, looking at divisibility tests and taking a closer look at fractions.
Topic: real numbers
Geometry Lectures by Nigel Simmons
audio

eye 285

favorite 0

comment 0

The technique of completing the square can be used when the equation cannot be factorised. As the steps are the same each time, this pattern lends itself to a formula, the formula known as "the quadratic formula"
Topics: algebra, quadratic equations, completing the square
Geometry Lectures by Nigel Simmons
audio

eye 114

favorite 0

comment 0

Techniques for solving equations/imequations
Topics: equation, inequation
Geometry Lectures by Nigel Simmons
audio

eye 335

favorite 0

comment 0

When solving questions involving algebraic fractions, you should ALWAYS FACTORISE FIRST.
Topics: algebra, algebraic fractions
Geometry Lectures by Nigel Simmons
audio

eye 24

favorite 0

comment 0

All mathematical operations have an inverse that will "undo" the operation, including functions.
Topic: inverse functions
Geometry Lectures by Nigel Simmons
audio

eye 22

favorite 0

comment 0

Two types of inequations and some techniques for proving inequalities
Topics: inequation, inequality
Geometry Lectures by Nigel Simmons
audio

eye 214

favorite 0

comment 0

Three levels of questions involving inequalities
Topic: inequalities
Geometry Lectures by Nigel Simmons
audio

eye 42

favorite 0

comment 0

Defining relations & functions and how to find their important features.
Topic: function
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 180

favorite 0

comment 0

Identifying key features of a graph through polynomial division
Topic: asymptotes
Geometry Lectures by Nigel Simmons
audio

eye 172

favorite 0

comment 0

Defining absolute value and using it to solve equations, inequations and draw graphs.
Topics: absolute value, algebra, equations, curve sketching
Geometry Lectures by Nigel Simmons
audio

eye 227

favorite 0

comment 0

Deriving the trig identities
Topic: trig identities
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 213

favorite 0

comment 0

Using trig identities to change the product of two functions to the sum of two functions and visa versa
Topics: trigonometry, products to sums
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 281

favorite 0

comment 0

Derivation of the cosine rule
Topic: trigonometry
Geometry Lectures by Nigel Simmons
audio

eye 38

favorite 0

comment 0

Solving trig problems in three dimensions
Topic: trigonometry
Geometry Lectures by Nigel Simmons
audio

eye 984

favorite 0

comment 0

divding intervals in any given ratio, both internally and externally
Topics: linear function, division of an interval
Geometry Lectures by Nigel Simmons
audio

eye 218

favorite 0

comment 0

Deriving trig formulae
Topic: trigonometry
Geometry Lectures by Nigel Simmons
audio

eye 38

favorite 0

comment 0

Proving congruence
Topic: congruent triangles
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 228

favorite 0

comment 0

The next case is when we arrange all of the objects, but some of the objects are the same.
Topic: permutations
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 185

favorite 0

comment 0

If the order is not important, how many ways are there of arranging objects?
Topic: combinations
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 1,172

favorite 0

comment 0

The features of quadrilaterals as they get more specialised
Topics: geometry, quadrilaterals
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 20

favorite 0

comment 0

Finding the "steepness" of the line
Topic: gradient
Geometry Lectures by Nigel Simmons
audio

eye 219

favorite 0

comment 0

What is the difference when arranging objects in a circle rather than a line?
Topic: permutation
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 491

favorite 0

comment 0

Investigating the behaviour of functions as x approaches a certain limit.
Topics: calculus, limits
Geometry Lectures by Nigel Simmons
audio

eye 145

favorite 0

comment 0

Teh congruence tests
Topics: geometry, congruence
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 157

favorite 0

comment 0

The ratio of intercepts of parallel lines is the same, no matter where the transversal is placed.
Topics: geometry, transversals
Geometry Lectures by Nigel Simmons
audio

eye 188

favorite 0

comment 0

The last two calculus rules, that complete the set
Topics: calculus, quotient rule
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 241

favorite 0

comment 0

the alternate segment theorem
Topics: geometry, tangent theorems
Geometry Lectures by Nigel Simmons
audio

eye 268

favorite 0

comment 0

Two technique for solving this equation
Topic: trig equations
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 240

favorite 0

comment 0

Looking at number patterne, and in particular arithmetic series.
Topics: series, arithmetic series
Geometry Lectures by Nigel Simmons
audio

eye 238

favorite 0

comment 0

Defining the second derivative
Topic: calculus
Geometry Lectures by Nigel Simmons
audio

eye 239

favorite 0

comment 0

Differentiating with respect to the variable you have, rather than the one you need.
Topics: calculus, implicit differentiation
Geometry Lectures by Nigel Simmons
audio

eye 185

favorite 0

comment 0

Using differentiation to solve problems involving rates, other than curve sketching
Topics: calculus, rates of change
Geometry Lectures by Nigel Simmons
audio

eye 210

favorite 0

comment 0

Investigating the first derivative
Topic: calculus
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 31

favorite 0

comment 0

Describing locus
Topic: locus
Geometry Lectures by Nigel Simmons
audio

eye 244

favorite 0

comment 0

Some properties of the parabola.
Topic: parabola
Geometry Lectures by Nigel Simmons
audio

eye 29

favorite 0

comment 0

Two ways of deriving the chord of contact
Topic: chord of contact
Geometry Lectures by Nigel Simmons
audio

eye 153

favorite 0

comment 0

Simplifying equations to quadratics
Topic: quadratic
Geometry Lectures by Nigel Simmons
audio

eye 431

favorite 0

comment 0

Using the theory of quadratics to solve maxima and minima problems
Topics: quadratics, maxima, minima
Geometry Lectures by Nigel Simmons
audio

eye 21

favorite 0

comment 0

Finding key points
Topics: calculus, critical
Geometry Lectures by Nigel Simmons
audio

eye 19

favorite 0

comment 0

The first of our angle theorems
Topics: circle geometry, angle theorems
Geometry Lectures by Nigel Simmons
audio

eye 28

favorite 0

comment 0

Performing differentiation a second time
Topics: calculus, second derivative
Geometry Lectures by Nigel Simmons
audio

eye 15

favorite 0

comment 0

Using the first derivative for curve sketching
Topics: calculus, curve sketching
Geometry Lectures by Nigel Simmons
audio

eye 34

favorite 0

comment 0

Using calculus to solve maxima/minima problems.
Topics: calculus, maxima, minima
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 116

favorite 0

comment 0

Equating the coefficients of quadratics
Topics: quadratics, identities
Geometry Lectures by Nigel Simmons
audio

eye 25

favorite 0

comment 0

Finding te locus of points
Topics: parabola, locus
Geometry Lectures by Nigel Simmons
audio

eye 22

favorite 0

comment 0

A mixture of two different years
Topics: series, geometric series
Geometry Lectures by Nigel Simmons
- Nigel Simmons
audio

eye 154

favorite 0

comment 0

Solving the problem, "how do we find the area under curved boundaries?"
Topics: integration, area, definite integral
Geometry Lectures by Nigel Simmons
audio

eye 264

favorite 0

comment 0

Definingthese two means.
Topics: series, means