Key features of the High School Math (Pure Mathematics 1)
Recognised qualification upon successful completion of the course
Study from anywhere, anytime, whenever it is convenient for you.
Get 24/7 support from our Customer Success Team
Affordable and engaging e-learning study materials
Study at your own pace from a tablet, PC or smartphone
Online tutor support when you are in need.
Who is this course for?
There is no experience or previous qualifications required for enrolment on this course. It is available to all students, of all academic backgrounds.
Requirements
OurHigh School Math (Pure Mathematics 1)is fully compatible with any kind of device. Whether you are using Windows computer, Mac, smartphones or tablets, you will get the same experience while learning. Besides that, you will be able to access the course with any kind of internet connection from anywhere at any time without any kind of limitation.
Career Path
After completing this course you will be able to build up accurate knowledge and skills with proper confidence to enrich yourself and brighten up your career in the relevant job market.
Course Curriculum
13 Sections | 137 Lessons
Introduction 3m
What is Function? 7m
Vertical Line Test 4m
Value of a Function Graphically 8m
Domain Range of a function Algebraically 13m
Domain Range of a function Graphically 6m
Even & Odd Functions 7m
One to one Function 5m
Composite Functions 9m
How to draw Rational Functions- 1 4m
How to draw Rational Functions- 2 10m
Inverse of a function Algebraically 5m
Inverse of a function Graphically 9m
Practice Problems 15m
Practice Problems 11m
Resources Downloads 26m
Introduction to Quadratic Equations 4m
Solving Quadratic Equations by Factorization method 10m
Writing in completed square form 8m
Solving by completed square method 8m
Sketching of Quadratic Graphs 11m
Quadratic graphs using Transformations 6m
Quadratic inequalities 11m
Deriving Quadratic formula 5m
Solving problems using Quadratic Formula 6m
Equations reducible to Quadratic 7m
Nature of Roots of Quadratic Equations 4m
Nature of roots continues 12m
Quadratic Equations (Resources) 40m
Distance formula 15m
Mid point formula 5m
Gradient of a line 10m
Graphing using gradient and y intercept 2m
Some standard lines 4m
Slope intercept form y = m x +c 5m
Point slope form and two point form 10m
Intersection of line and parabola 9m
Practice Problems from past papers (part 3) 11m
Sequence and series ( video) 8m
Arithmetic Sequence 10m
General term of an A.P. 7m
Finding given term is which term? 5m
Writing sequence when two terms are known 8m
Condition for three terms to be in A.P. 5m
Sum to n terms of A.P. 6m
Practice Problems 1 (A.P.) 8m
Practice problems 3 (A.P.) 7m
Practice problems 4 (A.P.) 10m
Geometric Progressions 11m
Sum to n terms in G.P. 14m
Sum to infinite Terms in G.P. 12m
Practice Problems 13m
Practice Problems 6m
Practice Problems based on AP and GP both 15m
Sequence and series Text 1 48m
Sequence and series Text 2 48m
What is Factorial? 6m
n-choose –r problems 6m
Properties of n - choose -r 5m
Expanding using Binomial Theorem 11m
Finding the indicated term in the Binomial expansion 10m
Finding the indicated term from end 9m
Finding the coefficient for given exponent (index) of the variable 8m
Finding the term independent of variable 5m
Expanding in increasing and decreasing powers of x 9m
Practice Problems 13m
Practice Problems 6m
Practice problems 10m
Past papers problems 15m
Past Paper problems 13m
Past Paper problems 9m
Resources in this section 48m
What is Derivative? 7m
Derivation of formula for Derivative 6m
Differentiation by definition or First Principle 6m
Power Rule 20m
Practice Problems on Power Rule 7m
Practice Problems on Power Rule 7m
Practice Problems on Power Rule 4m
Practice Problems on Power Rule 11m
Practice Problems on Power Rule 7m
Tangents and Normals- Basics 12m
Practice- Tangents and Normals Part 1 16m
Practice- Tangents and Normals Part 2 13m
Practice- Tangents and Normals Part 4 14m
Stationary Points - Basics 13m
Practice- Increasing Decreasing & Maxima Minima part 1 11m
Practice- Increasing Decreasing & Maxima Minima part 2 12m
Practice- Increasing Decreasing & Maxima Minima part 3 10m
Concavity-Basics 2m
Concavity & Second Derivative 8m
Second Derivative Test 9m
Practice Problems on second derivative 4m
Practice Problem of Maxima Minima using second derivative test Part 1 17m
Practice Problem of Maxima Minima using second derivative test Part 2 10m
Practice Problem of Maxima Minima using second derivative test Part 3 7m
Practice Problem of Maxima Minima using second derivative test Part 4 7m
Applications of Maxima and Minima Part 1 6m
Applications of Maxima and Minima Part 2 7m
Applications of Maxima and Minima Part 3 10m
Applications of Maxima and Minima Part 4 9m
Applications of Maxima and Minima Part 5 10m
Applications of Maxima and Minima Part 6 8m
Past Paper Problems on applications of maxima and minima Part 1 9m
Past Paper Problems on applications of maxima and minima Part 2 9m
Past Paper Problems on applications of maxima and minima Part 3 8m
Past Paper Problems on applications of maxima and minima Part 4 7m
Chain Rule 12m
Rate of change part 1 5m
Rate of change part 2 10m
Rate of change part 3 7m
Past Paper Problems using chain rule -1 6m
Past Paper Problems using chain rule - 2 7m
Past Paper Problems using chain rule 3 7m
Past Paper Problems using chain rule -4 4m
Graphical Method of solving pair of linear equations 10m
Video lecture on Graphical method 5m
Method of elimination by substitution 10m
Video lecture on substitution method 6m
Method of elimination by equating the coefficients 10m
Video lecture on equating coefficients method 9m
Practice Problems on Linear equation 10m
How to take up this course? 10m
Background of Algebra 10m
Language of Alg ebra 10m
Finding Values of algebraic expressions 1m
Fractional Indices 10m
Higher Indices 7m
Rules of Brackets 4m
Simplification by removing brackets (BODMAS) 11m
Simplifications of Algebraic Fractions 7m
Solving complex Linear Equations in one variable 10m
Factorization by taking out common factor 10m
Factorization by grouping the terms 9m
Factorize using identity a ² – b ² 7m
Factorization by middle term split 12m
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Key features of the High School Math (Pure Mathematics 1)
Recognised qualification upon successful completion of the course
Study from anywhere, anytime, whenever it is convenient for you.
Get 24/7 support from our Customer Success Team
Affordable and engaging e-learning study materials
Study at your own pace from a tablet, PC or smartphone
Online tutor support when you are in need.
Who is this course for?
There is no experience or previous qualifications required for enrolment on this course. It is available to all students, of all academic backgrounds.
Requirements
OurHigh School Math (Pure Mathematics 1)is fully compatible with any kind of device. Whether you are using Windows computer, Mac, smartphones or tablets, you will get the same experience while learning. Besides that, you will be able to access the course with any kind of internet connection from anywhere at any time without any kind of limitation.
Career Path
After completing this course you will be able to build up accurate knowledge and skills with proper confidence to enrich yourself and brighten up your career in the relevant job market.
13 Sections | 137 Lessons
Introduction3m
What is Function?7m
Vertical Line Test4m
Value of a Function Graphically8m
Domain Range of a function Algebraically13m
Domain Range of a function Graphically6m
Even & Odd Functions7m
One to one Function5m
Composite Functions9m
How to draw Rational Functions- 14m
How to draw Rational Functions- 210m
Inverse of a function Algebraically5m
Inverse of a function Graphically9m
Practice Problems15m
Practice Problems11m
Resources Downloads26m
Introduction to Quadratic Equations4m
Solving Quadratic Equations by Factorization method10m
Writing in completed square form8m
Solving by completed square method8m
Sketching of Quadratic Graphs11m
Quadratic graphs using Transformations6m
Quadratic inequalities11m
Deriving Quadratic formula5m
Solving problems using Quadratic Formula6m
Equations reducible to Quadratic7m
Nature of Roots of Quadratic Equations4m
Nature of roots continues12m
Quadratic Equations (Resources)40m
Distance formula15m
Mid point formula5m
Gradient of a line10m
Graphing using gradient and y intercept2m
Some standard lines4m
Slope intercept form y = m x +c5m
Point slope form and two point form10m
Intersection of line and parabola9m
Practice Problems from past papers (part 3)11m
Sequence and series ( video)8m
Arithmetic Sequence10m
General term of an A.P.7m
Finding given term is which term?5m
Writing sequence when two terms are known8m
Condition for three terms to be in A.P.5m
Sum to n terms of A.P.6m
Practice Problems 1 (A.P.)8m
Practice problems 3 (A.P.)7m
Practice problems 4 (A.P.)10m
Geometric Progressions11m
Sum to n terms in G.P.14m
Sum to infinite Terms in G.P.12m
Practice Problems13m
Practice Problems6m
Practice Problems based on AP and GP both15m
Sequence and series Text 148m
Sequence and series Text 248m
What is Factorial?6m
n-choose –r problems6m
Properties of n - choose -r5m
Expanding using Binomial Theorem11m
Finding the indicated term in the Binomial expansion10m
Finding the indicated term from end9m
Finding the coefficient for given exponent (index) of the variable8m
Finding the term independent of variable5m
Expanding in increasing and decreasing powers of x9m
Practice Problems13m
Practice Problems6m
Practice problems10m
Past papers problems15m
Past Paper problems13m
Past Paper problems9m
Resources in this section48m
What is Derivative?7m
Derivation of formula for Derivative6m
Differentiation by definition or First Principle6m
Power Rule20m
Practice Problems on Power Rule7m
Practice Problems on Power Rule7m
Practice Problems on Power Rule4m
Practice Problems on Power Rule11m
Practice Problems on Power Rule7m
Tangents and Normals- Basics12m
Practice- Tangents and Normals Part 116m
Practice- Tangents and Normals Part 213m
Practice- Tangents and Normals Part 414m
Stationary Points - Basics13m
Practice- Increasing Decreasing & Maxima Minima part 111m
Practice- Increasing Decreasing & Maxima Minima part 212m
Practice- Increasing Decreasing & Maxima Minima part 310m
Concavity-Basics2m
Concavity & Second Derivative8m
Second Derivative Test9m
Practice Problems on second derivative4m
Practice Problem of Maxima Minima using second derivative test Part 117m
Practice Problem of Maxima Minima using second derivative test Part 210m
Practice Problem of Maxima Minima using second derivative test Part 37m
Practice Problem of Maxima Minima using second derivative test Part 47m
Applications of Maxima and Minima Part 16m
Applications of Maxima and Minima Part 27m
Applications of Maxima and Minima Part 310m
Applications of Maxima and Minima Part 49m
Applications of Maxima and Minima Part 510m
Applications of Maxima and Minima Part 68m
Past Paper Problems on applications of maxima and minima Part 19m
Past Paper Problems on applications of maxima and minima Part 29m
Past Paper Problems on applications of maxima and minima Part 38m
Past Paper Problems on applications of maxima and minima Part 47m
Chain Rule12m
Rate of change part 15m
Rate of change part 210m
Rate of change part 37m
Past Paper Problems using chain rule -16m
Past Paper Problems using chain rule - 27m
Past Paper Problems using chain rule 37m
Past Paper Problems using chain rule -44m
Graphical Method of solving pair of linear equations10m
Video lecture on Graphical method5m
Method of elimination by substitution10m
Video lecture on substitution method6m
Method of elimination by equating the coefficients10m
Video lecture on equating coefficients method9m
Practice Problems on Linear equation10m
How to take up this course?10m
Background of Algebra10m
Language of Alg ebra10m
Finding Values of algebraic expressions1m
Fractional Indices10m
Higher Indices7m
Rules of Brackets4m
Simplification by removing brackets (BODMAS)11m
Simplifications of Algebraic Fractions7m
Solving complex Linear Equations in one variable10m