SECTION 1: ALGEBRA AND FUNCTIONS

A look at Functions, Polynomials, Surds, Indices and Logarithms ...

POLYNOMIALS

At the end of this section, students should be able to:

  • factorise polynomial expressions of degree less than or equal to 4, leading to real linear factors;
  • apply the Remainder Theorem;
  • use the Factor Theorem to find factors and to evaluate unknown coefficients;

INEQUALITIES

At the end of this lesson students should be able to

  • solve quadratic inequalities
  • solve rational inequalties

THE DISCRIMINANT

At the end of this section, students should be able to:

  • determine the nature of roots of a quadratic equation

FUNCTIONS

At the end of this section, students should be able to:

  • use terms to functions;
  • determine the range of a function given its domain;
  • determine whether a given function is many – to – one or one – to – one;
  • determine the inverse of a given function, (if it exists);
  • plot and sketch functions and their inverse, (if they exist);
  • state the geometrical relationship between and its inverse ;
  • find the composition of two functions;
  • recognise that, if is the inverse of , then , for all , in the domain of .

SURDS

At the end of this course students should be able to:

  • simplify surds
  • rationalize fractions involving surds

INDICES and DISGUISED QUADRATICS

At the end of this course students should be able to:

  • solve equations reducible to quadratic form

LOGARITHMS

At the end of this section, students should be able to;

  • use the fact that where is any positive whole number;
  • simplify expressions by using the laws:
  • solve logarithmic equations;
  • use logarithms to solve equations of the form ;
  • apply logarithms to problems involving the transformation of a given relationship to linear form.

SEQUENCES and SERIES

At the end of this section, students should be able to:

  • define a sequence of terms, , where is a positive integer;
  • write a specific term from the formula for the term of a sequence;
  • use the summation () notation;
  • define a series, as the sum of the terms of a sequence;
  • identify arithmetic and geometric series;
  • obtain expressions for the general terms and sums of finite and infinite geometric series;
  • show that all arithmetic series (except for zero common difference) are divergent, and that geometric series are convergent only if , where is the common ratio;
  • calculate the sum of arithmetic series to a given number of terms;
  • calculate the sum of geometric series to a given number of terms;
  • find the sum of a convergent geometric series.


Your Instructor


Sean Hunte
Sean Hunte

Sean Hunte, Your Passionate Mathematics Teacher

I was once a student just like you. I struggled with Mathematics for the first two (2) years of my secondary school life. In third form my teacher, Dr Sargeant, taught Mathematics in a unique way which allowed me to successfully learn the subject which I was passionate about. Her teaching enabled me to thrive in an area which I would eventually pursue as a career.

Therefore, I have successfully completed CXC's CSEC General Mathematics and CAPE Pure Mathematics Units 1 and 2 before obtaining a degree in Economics and Mathematics.

I have ten (10) years of experience teaching Mathematics at the secondary level in Barbados. During this time I have taught hundreds of students who have successfully completed the following courses:

  • CSEC GENERAL MATHEMATICS
  • CSEC ADDITIONAL MATHEMATICS
  • CAPE PURE MATHEMATICS UNIT 1
  • CAPE PURE MATHEMATICS UNIT 2
  • SAT MATHEMATICS

Your story will be different from mine but both of us desire the same result. SUCCESS!

I know that for many students Mathematics can be a struggle. I am therefore here to offer assistance in making the learning of Mathematics easier.


Courses Included with Purchase



QUADRATIC INEQUALITIES
Learn how to determine the solution set of quadratic and rational inequalities.
Sean Hunte
$5
SURDS
Learn how to simplify and rationalise expressions with surds.
Sean Hunte
$5
DISGUISED QUADRATICS
Learn how to solve problems involving Disguised Quadratic Equations.
Sean Hunte
$5
ADVANCED FUNCTIONS
An advanced look at Functions.
Sean Hunte
$7
POLYNOMIALS and SUM AND PRODUCT OF ROOTS
An in - depth look at Polynomials and the Sum and Product of Roots of a Quadratic.
Sean Hunte
$7
LOGARITHMS FOR ADDITIONAL MATHEMATICS
An in - depth look at Logarithms.
Sean Hunte
$7
SEQUENCES, SERIES AND PROGRESSIONS
Learn about Sigma Notation, Arithmetic and Geometric Progressions.
Sean Hunte
$7

Original Price: $43


Frequently Asked Questions


When does the course start and finish?
The course starts now and never ends! It is a completely self-paced online course - you decide when you start and when you finish.
How long do I have access to the course?
How does lifetime access sound? After enrolling, you have unlimited access to this course for as long as you like - across any and all devices you own.
What if I am unhappy with the course?
We would never want you to be unhappy! If you are unsatisfied with your purchase, contact us in the first 30 days and we will give you a full refund.

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