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5
Modules
62
Topics
34
hours
Modules (5)
Resources ()

gain a better understanding of the concepts of function, differentiation calculus, trapezoidal rule, and more.

Module 1
Functions
Resources availableIn this module you will learn how to work with functions to plot graphs, including quadratic and cubic graphs with exponential graphs.Functions  Learning Outcomes
Start TopicPlotting Quadratic Graphs From Table of Values
Start TopicPlotting Cubic Graphs From Table of Values
Start TopicPlotting Reciprocal Graphs From Table of Values
Start TopicPlotting Exponential Graphs From Table of Values
Start TopicMatching Equations and Sketches
Start TopicSketching Parabola Using Completing The Square
Start TopicCompleting The Square and Sketching The Full Method
Start TopicMatching Functions and Graphs – Quadratic/Exponential
Start TopicTranslation of Functions Using f(xa)
Start TopicTranslating Functions Using f(x)+a
Start TopicStretching Functions in x Direction
Start TopicStretching Functions in the y Direction
Start TopicThe Discriminant
Start TopicInverse and Bijective Functions
Start TopicFunctions  Lesson Summary
Start Topic 
Module 2
Calculus  Differentiation  Part 1
Resources availableIn this module, you will learn to review differentiation in detail including the Product Rule, Chain Rule and Quotient Rule.Calculus  Differentiation  Part 1  Learning Outcomes
Start TopicBasic Differentiation of y = x^n
Start TopicDifferentiation of Polynomials
Start TopicEquation of a Tangent
Start TopicEquation of a Normal
Start TopicHarder Questions on Normals
Start TopicGeneral Differentiation of x^n
Start TopicSecond Derivative
Start TopicDifferentiation of Tangents
Start TopicUsing Different Variables
Start TopicDifferentiating Products and Quotients
Start TopicThe Chain Rule
Start TopicThe Product Rule
Start TopicThe Quotient Rule
Start TopicCalculus  Differentiation  Part 1  Lesson Summary
Start Topic 
Module 3
Calculus  Differentiation  Part 2
Resources availableThis module will further teach you about differentiation, including Differentiation of Logarithms, Turning Points, Rates of Change, and differentiating inverse functions.Calculus  Differentiation  Part 2  Learning Outcomes
Start TopicDifferentiation of Logarithms
Start TopicDifferentiation of y = sinx
Start TopicDifferentiation of y = cosx
Start TopicDifferentiation and Rates of Change
Start TopicRate of Change Example 1
Start TopicRate of Change Example 2
Start TopicDifferentiation and Turning Points
Start TopicDifferentiation and Matching Graphs
Start TopicApplications of Differentiation 1 (Displacement/Velocity/Acceleration)
Start TopicApplications of Differentiation 2 (Voltage/Current)
Start TopicMaximum Volume of Box
Start TopicExploring Relationships Between Graphs of Cubic Functions and Their Differentials
Start TopicExploring Relationships Between Graphs of Trigonometric Functions and Their Differentials
Start TopicExploring Relationships Between Graphs of Exponential Functions and Their Differentials
Start TopicInverse Functions Differentiated
Start TopicCalculus  Differentiation  Part 2  Lesson Summary
Start Topic 
Module 4
Calculus  Integration
Resources availableIn this module, you will learn about integration covering areas such as exponentials and trigonometric functions.Calculus  Integration  Learning Outcomes
Start TopicBasic Integration
Start TopicThe Integral Sign
Start TopicHarder Integration
Start TopicDefinite Integration
Start TopicArea Between Lines
Start TopicBasic Differential Equations
Start TopicIntegration of Trig Functions (y=cos4x)
Start TopicIntegration of Exponentials
Start TopicIntroducing the Trapezoidal Rule
Start TopicTrapezoidal Rule Into Integration
Start TopicFinding the Area Between a Quadratic Function and a Straight Line
Start TopicCalculus  Integration  Lesson Summary
Start Topic 
course assessment: Strand 5 Leaving Certificate Higher Level Functions and Calculus

Module 5
Course assessment
Resources available