Exam Revision Video & Notes for Junior & Leaving Cert
Exam:
Subject:
Topics for Maths Paper I (Higher):
George Humphrey
Video eLesson (28min) Exam Questions & Answers (20min)
(4822 views)
Algebra - Logarithms
View Topic »
This RevisionPack deals with logorithms which forms part of the algebra component on the Leaving Certificate Maths Higher Level. paper
These topics are Covered:
- Index notation v. log notation
- Product and division laws
- Log power law
Contains many worked examples
This RevisionPack deals with logorithms which forms part of the algebra component on the Leaving Certificate Maths Higher Level. paper
These topics are Covered:
- Index notation v. log notation
- Product and division laws
- Log power law
Contains many worked examples
George Humphrey
Video eLesson (32min) Exam Questions & Answers (27min)
(3195 views)
Algebra - Quadratic and Abstract Inequalities
View Topic »
topics covered in this pack:
- Quadratic and Abstract Inequalities
- Questions and example solutions
- Past exam questions with worked solutions
topics covered in this pack:
- Quadratic and Abstract Inequalities
- Questions and example solutions
- Past exam questions with worked solutions
George Humphrey
Video eLesson (31min) Exam Questions & Answers (25min)
(2363 views)
Algebra - Simultaneous Equations
View Topic »
This topic deals with:
Solving simultaneous equations with 3 variables
Solving Simultaneous equations with one linear and a quadratic equation
Modules and irrational equations
This topic deals with:
Solving simultaneous equations with 3 variables
Solving Simultaneous equations with one linear and a quadratic equation
Modules and irrational equations
George Humphrey
Video eLesson (34min) Exam Questions & Answers (35min)
(2686 views)
Algebra - Solving Cubic Eqns and the Factor Theorem
View Topic »
This video pack shows you how to:
1 Solve Cubic Equations
2 Use the Factor Theorem
3 Solve problems using the factors of an equation.
Many worked examples are included.
This video pack shows you how to:
1 Solve Cubic Equations
2 Use the Factor Theorem
3 Solve problems using the factors of an equation.
Many worked examples are included.
George Humphrey
Video eLesson (22min) Exam Questions & Answers (20min)
(2133 views)
Algebraic Fractions and Undetermined Coefficients
View Topic »
This RevisionPack provides worked solutions to problems involving Algebraic Fractions and Undetermined Co-efficients.
These problems can appear in question 1, 2 or 5 of Paper 1
This RevisionPack provides worked solutions to problems involving Algebraic Fractions and Undetermined Co-efficients.
These problems can appear in question 1, 2 or 5 of Paper 1
Brendan Guildea
Video eLesson (34min) Exam Questions & Answers (16min)
(1960 views)
Binomial Expansion
View Topic »
Expanding a binomial expression
Finding the co-efficients of the expansion using the formula to calculate the number of combinations of a set
using your calculator to calculate the number of combinations
Worked past exam answers
Expanding a binomial expression
Finding the co-efficients of the expansion using the formula to calculate the number of combinations of a set
using your calculator to calculate the number of combinations
Worked past exam answers
Brendan Guildea
Video eLesson (36min):
Exam Questions & Answers (13min):
(5785 views)
Calculus - Differentiation I
View Topic »
This topics are covered:
i. Basic Operation of differentiation
ii. Product Quotient and Chain Rules
iii. Trigonometric Limits
iv. Differentiation from first Principles for x squared, integral of x and cosine x
v. Implicit differentiation
This topics are covered:
i. Basic Operation of differentiation
ii. Product Quotient and Chain Rules
iii. Trigonometric Limits
iv. Differentiation from first Principles for x squared, integral of x and cosine x
v. Implicit differentiation
Brendan Guildea
Video eLesson (31min) Exam Questions & Answers (19min)
(3897 views)
Calculus - Differentiation II
View Topic »
This RevisionPack guides you through worked solutions to example questions that include:
- Standard derivatives (including exp and ln)
- Using product and quotient rules with the chain rule
- Working with the root of natural logarithms (e)
- Second derivatives
- Parametric equations of a curve
This RevisionPack guides you through worked solutions to example questions that include:
- Standard derivatives (including exp and ln)
- Using product and quotient rules with the chain rule
- Working with the root of natural logarithms (e)
- Second derivatives
- Parametric equations of a curve
Brendan Guildea
Video eLesson (29min) Exam Questions & Answers (27min)
(3378 views)
Calculus - Differentiation III
View Topic »
Topics dealt with in this pack include:
1. using the Newton-Raphson formula to find approximate roots
2. The addition rule from first principles
3. Finding maximum, minimum and inflection points, plus their applications
4. How to graph a curve with no turning points and find its asympotes
The pack includes solutions to some of the most challenging questions on Math Paper I higher
Topics dealt with in this pack include:
1. using the Newton-Raphson formula to find approximate roots
2. The addition rule from first principles
3. Finding maximum, minimum and inflection points, plus their applications
4. How to graph a curve with no turning points and find its asympotes
The pack includes solutions to some of the most challenging questions on Math Paper I higher
George Humphrey
Video eLesson (35min) Exam Questions & Answers (29min)
(3274 views)
Calculus - Integration I
View Topic »
This RevisionPack deals with integration on Leaving Certificate Maths – Higher Level - paper
These topics are covered:
1. Basic Integration
2. Integration by substitution
Contains many worked examples.
This RevisionPack deals with integration on Leaving Certificate Maths – Higher Level - paper
These topics are covered:
1. Basic Integration
2. Integration by substitution
Contains many worked examples.
George Humphrey
Video eLesson (24min) Exam Questions & Answers (19min)
(2211 views)
Calculus - Integration II
View Topic »
This RevisionPack deals with integration on Leaving Certificate Maths – Higher Level - paper.
These topics are covered:
1. Integrals where solution is in the form Sin -1
2. Integrals where solution is in the form Tan -1
Contains many worked examples
This RevisionPack deals with integration on Leaving Certificate Maths – Higher Level - paper.
These topics are covered:
1. Integrals where solution is in the form Sin -1
2. Integrals where solution is in the form Tan -1
Contains many worked examples
George Humphrey
Video eLesson (32min) Exam Questions & Answers (26min)
(2291 views)
Calculus - Integration III
View Topic »
This video pack is part 3 of 3 that deal with integration.
Topics covered include:
Finding the area bounded by a curve (where y is f(x) and f(x) is a quadratic)
Finding the volume of rotation (by rotating about the x-axis a volume that is bounded by the y-axis)
This video pack is part 3 of 3 that deal with integration.
Topics covered include:
Finding the area bounded by a curve (where y is f(x) and f(x) is a quadratic)
Finding the volume of rotation (by rotating about the x-axis a volume that is bounded by the y-axis)
Brendan Guildea
Video eLesson (27min) Exam Questions & Answers (24min)
(3466 views)
Complex Numbers I
View Topic »
This RevisionPack deals with the following:
- Introduction to Complex Numbers
- Real and Imaginary Parts
- Modulus & Conjugate
- Addition and Subtraction of Complex Numbers
- Multiplication and Division of Complex Numbers
- Argand Diagrams
Also covered are several recent exam Questions.
This RevisionPack deals with the following:
- Introduction to Complex Numbers
- Real and Imaginary Parts
- Modulus & Conjugate
- Addition and Subtraction of Complex Numbers
- Multiplication and Division of Complex Numbers
- Argand Diagrams
Also covered are several recent exam Questions.
Brendan Guildea
Video eLesson (44min) Exam Questions & Answers (24min)
(3277 views)
Complex Numbers II
View Topic »
Topics in this video pack include:
1. Complex roots of quadratic and cubic equations
2. Formula for solving quadratic equation (Resulting in complex roots)
3. Using polar co-ordinates
4. De Moivres theorem and it's application
5. Using the trigonometric identities contained on page 9 of the tables
Lots of worked examples are included.
Topics in this video pack include:
1. Complex roots of quadratic and cubic equations
2. Formula for solving quadratic equation (Resulting in complex roots)
3. Using polar co-ordinates
4. De Moivres theorem and it's application
5. Using the trigonometric identities contained on page 9 of the tables
Lots of worked examples are included.
George Humphrey
Video eLesson (35min) Exam Questions & Answers (17min)
(2373 views)
Proof By Induction
View Topic »
Brendan Guildea
Video eLesson (39min) Exam Questions & Answers (19min)
(2712 views)
Sequences and Series I
View Topic »
This Revision Pack Covers:
(i) Notation
(ii) Arithmetic V’s Geometric (a and d) V’s (a and r).
(iii) Arithmetic
(iv) Geometric
(v) Recurrence relations
Many focused EXAM questions and a possible future EXAM questions are included.
This Revision Pack Covers:
(i) Notation
(ii) Arithmetic V’s Geometric (a and d) V’s (a and r).
(iii) Arithmetic
(iv) Geometric
(v) Recurrence relations
Many focused EXAM questions and a possible future EXAM questions are included.
Brendan Guildea
Video eLesson (34min) Exam Questions & Answers (28min)
(1566 views)
Sequences and Series II
View Topic »