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Geometry Lectures by Nigel Simmons

Lectures from 2014-2015 from teacher Nigel Simmons.



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Geometry Lectures by Nigel Simmons
Jan 30, 2014 Nigel Simmons
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No we look at integrating exponentials
Topics: integration, exponentials
Geometry Lectures by Nigel Simmons
Jan 30, 2014 Nigel Simmons
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A menu to help with the process of factorising
Topics: algebra, factorising
Geometry Lectures by Nigel Simmons
Jan 30, 2014 Nigel Simmons
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Expanding algebraic products
Topic: binomial
Geometry Lectures by Nigel Simmons
Jan 29, 2014 Nigel Simmons
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Introducing the exponential function and how to differentiate it.
Topic: exponentials
Geometry Lectures by Nigel Simmons
Jan 29, 2014 Nigel Simmons
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The basics of algebra
Topics: algebra, indices
Geometry Lectures by Nigel Simmons
Dec 18, 2013 Nigel Simmons
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Looking for situations that lead to logs
Topics: integration, logarithms
Geometry Lectures by Nigel Simmons
Dec 17, 2013 Nigel Simmons
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How to differentiate a logarithmic function
Topics: calculus, logarthm, differentiation
Geometry Lectures by Nigel Simmons
Dec 13, 2013 Nigel Simmons
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Introducing the logarithmic function
Topics: logarithms, log laws
Geometry Lectures by Nigel Simmons
Dec 13, 2013 Nigel Simmons
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Introducing the logarithmic function
Topic: logarithm
Geometry Lectures by Nigel Simmons
Dec 12, 2013 Nigel Simmons
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Creating new polynomials using the roots of another polynomial.
Topic: polynomial
Geometry Lectures by Nigel Simmons
Dec 12, 2013 Nigel Simmons
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Expanding on the idea from Extension 1
Topics: polynomials, roots, coefficients
Geometry Lectures by Nigel Simmons
Dec 10, 2013 Nigel Simmons
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How to find repeated roots
Topics: polynomials, multiple roots
Geometry Lectures by Nigel Simmons
Dec 9, 2013 Nigel Simmons
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Factorising over the real and complex fields
Topic: polynomials
Geometry Lectures by Nigel Simmons
Nov 22, 2013 Nigel Simmons
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When a function is difficult to integrate
Topics: integration, approximation
Geometry Lectures by Nigel Simmons
Nov 21, 2013 Nigel Simmons
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Look for this situation
Topic: integration
Geometry Lectures by Nigel Simmons
Nov 20, 2013 Nigel Simmons
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Finding the volume of solids with circular cross-sections.
Topics: integration, volume
Geometry Lectures by Nigel Simmons
Nov 19, 2013 Nigel Simmons
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How to handle area
Topics: integration, area
Geometry Lectures by Nigel Simmons
Nov 18, 2013 Nigel Simmons
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A useful theorem
Topics: integration, indefinite integral
Geometry Lectures by Nigel Simmons
Nov 18, 2013 Nigel Simmons
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Rules for integration
Topics: integration, definite integral
Geometry Lectures by Nigel Simmons
Nov 18, 2013 Nigel Simmons
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Find the area if irregular shapes
Topics: area, integration
Geometry Lectures by Nigel Simmons
Nov 13, 2013 Nigel Simmons
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Manipulating the roots of unity
Topics: complex numbers, roots of unity
Geometry Lectures by Nigel Simmons
Nov 12, 2013 Nigel Simmons
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Using compolex numbers to prove trig identities
Topics: complex numbers, trig identities
Geometry Lectures by Nigel Simmons
Nov 11, 2013 Nigel Simmons
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Raising complex numbers to powers
Topics: complex numbers, de moivres
Geometry Lectures by Nigel Simmons
Nov 10, 2013 Nigel Simmons
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More curves
Topic: complex numbers
Geometry Lectures by Nigel Simmons
Nov 10, 2013 Nigel Simmons
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Curves and regions in the Argand Diagram
Topic: complex numbers
Geometry Lectures by Nigel Simmons
Nov 10, 2013 Nigel Simmons
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More on the Argand Diagram
Topic: complex numbers
Geometry Lectures by Nigel Simmons
Nov 10, 2013 Nigel Simmons
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Playing with conjugates
Topics: complex numbers, conjugates
Geometry Lectures by Nigel Simmons
Nov 10, 2013 Nigel Simmons
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Describing complex numbers using polar coordinates
Topics: complex numbers, mod arg
Geometry Lectures by Nigel Simmons
Nov 2, 2013 Nigel Simmons
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Placing complex numbers on a diagram
Topics: complex numbers, argand diagram
Geometry Lectures by Nigel Simmons
Nov 2, 2013 Nigel Simmons
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Using imaginary numbers to solve quadratics
Topics: complex numbers, quadratics
Geometry Lectures by Nigel Simmons
Nov 1, 2013 Nigel Simmons
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Introducing complex numbers
Topic: complex numbers
Geometry Lectures by Nigel Simmons
Nov 1, 2013 Nigel Simmons
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extending to polynomials
Topic: polynomials
Geometry Lectures by Nigel Simmons
Oct 28, 2013 Nigel Simmons
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Polynomial results that assist when factorising
Topic: polynomial
Geometry Lectures by Nigel Simmons
Oct 25, 2013 Nigel Simmons
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Some theorems that save time
Topic: polynomials
Geometry Lectures by Nigel Simmons
Oct 24, 2013 Nigel Simmons
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The division algorithm for polynomials
Topics: polynomials, division
Geometry Lectures by Nigel Simmons
Oct 23, 2013 Nigel Simmons
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Key features to look for when sketching polynomials
Topics: polynomials, curve sketching
Geometry Lectures by Nigel Simmons
Oct 23, 2013 Nigel Simmons
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Defining terms concerning polynomials
Topic: polynomials
Geometry Lectures by Nigel Simmons
Oct 22, 2013 Nigel Simmons
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Using series to solve finance problems
Topics: series, finance
Geometry Lectures by Nigel Simmons
Oct 21, 2013 Nigel Simmons
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Using number patterns to solve problems
Topics: series, arithmetic, geometric
Geometry Lectures by Nigel Simmons
Oct 18, 2013 Nigel Simmons
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Looking at a couple of past questions
Topic: induction
Geometry Lectures by Nigel Simmons
Oct 18, 2013 Nigel Simmons
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Induction questions involving inequalities
Topics: induction, inequalities
Geometry Lectures by Nigel Simmons
Oct 17, 2013 Nigel Simmons
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Divisibility type problems
Topics: induction, divisibility
Geometry Lectures by Nigel Simmons
Oct 16, 2013 Nigel Simmons
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Introducing induction as applied to series type questions
Topic: induction
Geometry Lectures by Nigel Simmons
Oct 15, 2013 Nigel Simmons
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Generalising a factorisation
Topic: factorising
Geometry Lectures by Nigel Simmons
Oct 15, 2013 Nigel Simmons
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Deriving formulae for geometric series
Topics: sum, geometric series
Geometry Lectures by Nigel Simmons
Oct 15, 2013 Nigel Simmons
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Evaluating the sum of an arithmetic sequence
Topics: sum, arithmetic series
Geometry Lectures by Nigel Simmons
Oct 14, 2013 Nigel Simmons
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Introducing sigma notation
Topics: series, sum
Geometry Lectures by Nigel Simmons
Oct 11, 2013 Nigel Simmons
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arithmetic & geometric means
Topics: series, means
Geometry Lectures by Nigel Simmons
Oct 11, 2013 Nigel Simmons
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A mixture of two different years
Topics: series, geometric series
Geometry Lectures by Nigel Simmons
Oct 11, 2013 Nigel Simmons
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When new terms are created by multiplying rather than adding
Topics: series, geometric series
Geometry Lectures by Nigel Simmons
Oct 10, 2013 Nigel Simmons
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Introducing number patterns
Topic: arithmetic series
Geometry Lectures by Nigel Simmons
Aug 28, 2013 Nigel Simmons
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Three theorems that can be reduced to one
Topic: circle geometry
Geometry Lectures by Nigel Simmons
Aug 26, 2013 Nigel Simmons
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The alternate segment
Topic: alternate segment
Geometry Lectures by Nigel Simmons
Aug 26, 2013 Nigel Simmons
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Starting with a chord theorem and creating a tangent theorem
Topics: tangent, circle geometry
Geometry Lectures by Nigel Simmons
Aug 26, 2013 Nigel Simmons
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Approaches to solving inequality problems
Topic: inequalities
Geometry Lectures by Nigel Simmons
Aug 23, 2013 Nigel Simmons
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Using graphs to assist in the solving of inequalities
Topic: inequalities
Geometry Lectures by Nigel Simmons
Aug 23, 2013 Nigel Simmons
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Using circle theorems to prove circles exist!!!
Topic: circle geometry
Geometry Lectures by Nigel Simmons
Aug 23, 2013 Nigel Simmons
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Adding a couple of angle theorems to the list
Topics: angle theorems, circle geometry
Geometry Lectures by Nigel Simmons
Aug 22, 2013 Nigel Simmons
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Some harder induction problems
Topic: induction
Geometry Lectures by Nigel Simmons
Aug 22, 2013 Nigel Simmons
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The first of our angle theorems
Topics: circle geometry, angle theorems
Geometry Lectures by Nigel Simmons
Aug 20, 2013 Nigel Simmons
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Going back the other way
Topic: primitive function
Geometry Lectures by Nigel Simmons
Aug 19, 2013 Nigel Simmons
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Harder Extension 1
Topic: circle geometry
Geometry Lectures by Nigel Simmons
Aug 16, 2013 Nigel Simmons
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Using calculus to solve maxima/minima problems.
Topics: calculus, maxima, minima
Geometry Lectures by Nigel Simmons
Aug 15, 2013 Nigel Simmons
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Creating a curve sketching menu
Topic: curve sketching
Geometry Lectures by Nigel Simmons
Aug 14, 2013 Nigel Simmons
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How does the slope change with respect to x. Answer: concavity
Topics: concavity, calculus, curve sketching
Geometry Lectures by Nigel Simmons
Aug 13, 2013 Nigel Simmons
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Performing differentiation a second time
Topics: calculus, second derivative
Geometry Lectures by Nigel Simmons
Aug 13, 2013 Nigel Simmons
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Key features of a graph
Topics: curve sketching, calculus
Geometry Lectures by Nigel Simmons
Aug 12, 2013 Nigel Simmons
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Using the first derivative for curve sketching
Topics: calculus, curve sketching
Geometry Lectures by Nigel Simmons
Aug 9, 2013 Nigel Simmons
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Finding the locus of points
Topics: locus, parametric
Geometry Lectures by Nigel Simmons
Aug 8, 2013 Nigel Simmons
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Looking at some properties of the parabola
Topics: parabola, parametrics
Geometry Lectures by Nigel Simmons
Aug 6, 2013 Nigel Simmons
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Two ways of deriving the chord of contact
Topic: chord of contact
Geometry Lectures by Nigel Simmons
Aug 2, 2013 Nigel Simmons
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A Cartesian approach to tangents & normala
Topics: tangent, normals
Geometry Lectures by Nigel Simmons
Jul 30, 2013 Nigel Simmons
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Defining the tangents and normal of the parabola
Topics: parabola, tangent, normal, parametric
Geometry Lectures by Nigel Simmons
Jul 29, 2013 Nigel Simmons
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Finding the general form of the chord of a parabola
Topics: parametric, parametric, chord
Geometry Lectures by Nigel Simmons
Jul 26, 2013 Nigel Simmons
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Using parameters to describe curves
Topic: parametric