Mathematics Additional (4037) OR Mathematics Additional (0606) OR Mathematics Additional (0607) | O Level or IGCSE | Crash Course
This crash course offers a complete online course for both the revision of the syllabus and the preparation for the examination. The O level Mathematics Additional and IGCSE Mathematics Additional (O level Mathematics Additional 4037 crash course and IGCSE Mathematics …
Overview
This crash course offers a complete online course for both the revision of the syllabus and the preparation for the examination. The O level Mathematics Additional and IGCSE Mathematics Additional (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) has the prime goal to offer excellent syllabus revision, overview and past paper preparation for the examination. We incorporate a sophisticated strategy to target all the subject areas that are required to get the best grade possible. The course revises the complete syllabus of Mathematics Additional (4037) OR (0606) For Both O Level and IGCSE. The O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) has been designed to help any student, no matter how much they have prepared for the course. Students at all levels can benefit from the O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course. You are not required to buy any book to complement the course as it covers all that is required for a successful attempt at the subject. Also, being a crash course, the curriculum follows periodic content availability, just like a real classroom. However, the timing of the class does not matter: each student can take the class as per their own feasibility. Whenever new content is uploaded or is available, an announcement is made both on the O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) page, and communicated via e-mail to the students so that they may stay informed. Also, you may join later as the O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course allows for backward compatibility. Thus, a student joining in week 3 has access to the materials of week 1 and week 2, as well as limited ability to submit the assignments of these weeks. The curriculum shall be updated as the O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) progresses.
Ideally, the course contains:
- Complete lectures of Each Topic in A Unique Way
- Notes
- Recorded Videos
- Live Classes – Recording Available
- Live Classes Only A Small Part of The O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course
- Most of the Material Taught Using Recorded Video Lectures
- Periodic Assignments with Proper Grading and Feedback
- Past Paper Based Quizzes
- Forum Access To Ask Any Question
- Complete availability of the Teacher.
- Best Resources and Guidelines
- Tip and Tricks for Paper Solution
- Paper Attempting Methodology for Best Grades
Join the O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) now and get the best grades in upcoming examination.
What Educate A Change Expects From The Student For This Course?
Crash courses on Educate A Change are designed specifically to revise the syllabus and solve as many past papers as possible. Our expectation with such O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course are as follows:
- The student is aware of the subject’s syllabus and has gone through the syllabus content in detail at least once.
- The student understands the basic paper solution pattern.
- The student’s expectation regarding O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) is to further their current knowledge by a revision of complete syllabus, learn paper solving techniques and practice as many past papers as possible for the upcoming examination.
- The student needs a quick revision of the syllabus content to refresh their knowledge.
- O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) is the student’s preferred method to get the best grade in their exams.
How Will The Course Progress?
The O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) has been designed to provide maximum flexibility to our students. Here is a breakup of how the O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course will progress in general. This division is subject to change based on the progression of the course:
- Once your O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) has been activated, a timer starts to run on each of the content areas reflected in the curriculum section.
- The timer remains unique to each student. It defines the exact time when you will receive a new content.
- Generally, the crash O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course has a weekly progression. This aspect means you will get new contents at different times during the week. Again, the timer shows you the exact time for the content to arrive in your portal.
- If there are any significant changes, you will be informed in the announcements section. Remember, the announcements section is listed above this description. Additionally, you may locate the announcements in your e-mail as well. Do not forget to check the junk/ spam folder regularly.
- The timings for live classes, if any, are also coordinated using the announcements section and emails.
- There are specific classes in the O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) called quizzes. These quizzes can be attempted at any point as you wish. There is no restriction as to when you have to attempt them. However, there is a restriction on the number of times you can access any quiz. Make sure you remain aware of those restrictions. They are mentioned at the start of the quiz.
- Additionally, there are assignments in the O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) as well. These assignments are designed using the past paper contents mostly. Remember, the assignment will be marked exactly one week after your first submission by the instructor. In some assignments, you have more than 1 submission as well. In such cases, you have to make sure that we receive your second submission before 1 week passes since your first submission. Also, only one submission is marked by the instructor.
- You may attempt the assignment directly on the portal or you may attempt it on a piece of paper and attach pictures or PDF here on the portal. Both ways are completely acceptable. Emailing the assignment is not allowed. Similarly, you may not use social media to submit an assignment.
- The past paper discussion classes of O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) will focus on providing the detailed solution methods of past papers. Additionally, video discussion using recorded videos will be provided for the most important questions. Detailed points, techniques and information for each question are also included.
- The official O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course discussion board or FORUM is accessible to all the enrolled students. You may ask any question related to any class, quiz, past paper discussion or assignment etc. both in public and private on this forum. This forum is the official method to ask questions and get answers by your instructor. You can ask using written, audio, video or image questions. Additionally, you can quote different answers on the forum for further clarification as well.
What may NOT be expected from the course?
O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course) is a formal course, which makes it impossible for Educate A Change to make any adjustments for any specific students. Students must not expect the course to:
- Give the material before the time on your timer.
- Give all the material at once.
- Give more time for the material to be accessed than the course’s time.
- Give the material in any other form than mentioned in the course
- The course does NOT register or pay your fee for the official Cambridge examination
- Get any extension on the course access without further payment. The O Level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course access times are mentioned on the course, and no extension is provided under any scenario.
Additionally, you may NOT except the instructor
- To give you any personal mentoring outside the course in the same price.
- Answer questions and other issues you may have regarding the course on personal social media.
- Collaborate with you in any shape or form outside the mentioned methods of the O level Mathematics Additional crash course and IGCSE Mathematics Additional crash course (O level Mathematics Additional 4037 crash course and IGCSE Mathematics Additional 0606 crash course)
A reply or support in any of the above mentioned issues may NOT be expected.
Curriculum
- 8 Sections
- 267 Lessons
- 8 Weeks
Expand all sectionsCollapse all sections
- Sample ContentSample Notes, Videos, Quizzes, Cheat Sheets, And Much More For Pre-Purchase Consideration.0
- Crash Preparation/ Revision Notes For The ContentChapter-Wise Notes For Fast Preparation/ Revision67
- 2.1Functions: Understand The Terms: Function, Domain, Range (Image Set), One–One Function, Many–One Function, Inverse Function And Composition Of Functions
- 2.2Functions: Find The Domain And Range Of Functions
- 2.3Functions: Recognise And Use Function Notation
- 2.4Functions: Understand The Relationship Between y = f(x) And y = |f(x)|
- 2.5Functions: Explain In Words Why A Given Function Does Not Have An Inverse
- 2.6Functions: Find The Inverse Of A One–One Function
- 2.7Functions: Form And Use Composite Functions
- 2.8Functions: Use Sketch Graphs To Show The Relationship Between A Function And Its Inverse
- 2.9Quadratic Functions: Find The Maximum Or Minimum Value Of A Quadratic Function
- 2.10Quadratic Functions: Use The Maximum Or Minimum Value To Sketch The Graph Or Determine The Range
- 2.11Quadratic Functions: Know The Conditions For f(x) = 0 To Have Two Real Roots, Two Equal Roots, Or No Real Roots
- 2.12Quadratic Functions: Solve Quadratic Equations For Real Roots
- 2.13Quadratic Functions: Find The Solution Set For Quadratic Inequalities
- 2.14Factors Of Polynomials: Know And Use The Remainder And Factor Theorems
- 2.15Factors Of Polynomials: Find Factors Of Polynomials
- 2.16Factors Of Polynomials: Solve Cubic Equations
- 2.17Equations, Inequalities And Graphs: Solve Equations Involving Modulus Functions
- 2.18Equations, Inequalities And Graphs: Solve Inequalities Involving Modulus Functions
- 2.19Equations, Inequalities And Graphs: Use Substitution To Form And Solve A Quadratic Equation
- 2.20Equations, Inequalities And Graphs: Sketch Graphs Of Cubic Polynomials And Their Moduli
- 2.21Equations, Inequalities And Graphs: Solve Cubic Inequalities Graphically
- 2.22Simultaneous Equations: Solve Simultaneous Equations In Two Unknowns By Elimination Or Substitution
- 2.23Logarithmic And Exponential Functions: Know And Use Properties And Graphs Of Logarithmic And Exponential Functions
- 2.24Logarithmic And Exponential Functions: Know And Use The Laws Of Logarithms, Including Change Of Base
- 2.25Logarithmic And Exponential Functions: Solve Equations Of The Form aˣ = b
- 2.26Straight-Line Graphs: Use The Equation Of A Straight Line
- 2.27Straight-Line Graphs: Know And Use The Condition For Parallel And Perpendicular Lines
- 2.28Straight-Line Graphs: Solve Problems Involving Midpoint, Length Of A Line, And Perpendicular Bisectors
- 2.29Straight-Line Graphs: Transform Relationships To And From Straight-Line Form
- 2.30Coordinate Geometry Of The Circle: Know And Use The Equation Of A Circle
- 2.31Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 2.32Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 2.33Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of Two Circles
- 2.34Circular Measure: Solve Problems Involving Arc Length And Sector Area Using Radians
- 2.35Trigonometry: Know And Use The Six Trigonometric Functions
- 2.36Trigonometry: Understand And Use Amplitude And Period Of Trigonometric Functions
- 2.37Trigonometry: Draw And Use Graphs Of Trigonometric Functions
- 2.38Trigonometry: Use Trigonometric Identities (sin²A + cos²A = 1, etc.)
- 2.39Trigonometry: Solve Trigonometric Equations For A Given Domain
- 2.40Trigonometry: Prove Trigonometric Relationships
- 2.41Permutations And Combinations: Recognise The Difference Between Permutations And Combinations
- 2.42Permutations And Combinations: Know And Use n! And Formulas For Permutations And Combinations
- 2.43Permutations And Combinations: Solve Problems On Arrangement And Selection
- 2.44Series: Use The Binomial Theorem For Expansion Of (a + b)ⁿ
- 2.45Series: Use The General Term In Binomial Expansion
- 2.46Series: Recognise Arithmetic And Geometric Progressions
- 2.47Series: Use Formulas For nth Term And Sum Of Arithmetic And Geometric Progressions
- 2.48Series: Use The Condition For Convergence Of A Geometric Progression And The Formula For Sum To Infinity
- 2.49Vectors In Two Dimensions: Understand And Use Vector Notation
- 2.50Vectors In Two Dimensions: Know And Use Position Vectors And Unit Vectors
- 2.51Vectors In Two Dimensions: Find Magnitude, Add, Subtract And Multiply Vectors By Scalars
- 2.52Vectors In Two Dimensions: Compose And Resolve Velocities
- 2.53Calculus: Understand The Idea Of A Derived Function
- 2.54Calculus: Use Derivative Notations f′(x), f″(x), dy/dx
- 2.55Calculus: Know And Use Derivatives Of Standard Functions (xⁿ, sin x, cos x, tan x, eˣ, ln x)
- 2.56Calculus: Differentiate Products And Quotients Of Functions
- 2.57Calculus: Use Differentiation To Find Gradients, Tangents And Normals
- 2.58Calculus: Use Differentiation To Find Stationary Points
- 2.59Calculus: Apply Differentiation To Rates Of Change, Small Increments And Approximations
- 2.60Calculus: Apply Differentiation To Maxima And Minima Problems
- 2.61Calculus: Use First And Second Derivative Tests For Maxima And Minima
- 2.62Calculus: Understand Integration As The Reverse Process Of Differentiation
- 2.63Calculus: Integrate Sums Of Terms In Powers Of x And Of The Form 1/(ax + b)
- 2.64Calculus: Integrate Functions Such As (ax + b)ⁿ, sin(ax + b), cos(ax + b), sec²(ax + b), e^(ax + b)
- 2.65Calculus: Evaluate Definite Integrals And Apply To Areas
- 2.66Calculus: Apply Differentiation And Integration To Kinematics Problems
- 2.67Calculus: Draw And Use Graphs For Displacement–Time, Distance–Time, Velocity–Time, Speed–Time, And Acceleration–Time
- Crash Preparation/ Revision Videos For The ContentCrash/ Revision Video Lectures/ Quick Coverage Video Lectures67
- 3.1Functions: Understand The Terms: Function, Domain, Range (Image Set), One–One Function, Many–One Function, Inverse Function And Composition Of Functions
- 3.2Functions: Find The Domain And Range Of Functions
- 3.3Functions: Recognise And Use Function Notation
- 3.4Functions: Understand The Relationship Between y = f(x) And y = |f(x)|
- 3.5Functions: Explain In Words Why A Given Function Does Not Have An Inverse
- 3.6Functions: Find The Inverse Of A One–One Function
- 3.7Functions: Form And Use Composite Functions
- 3.8Functions: Use Sketch Graphs To Show The Relationship Between A Function And Its Inverse
- 3.9Quadratic Functions: Find The Maximum Or Minimum Value Of A Quadratic Function
- 3.10Quadratic Functions: Use The Maximum Or Minimum Value To Sketch The Graph Or Determine The Range
- 3.11Quadratic Functions: Know The Conditions For f(x) = 0 To Have Two Real Roots, Two Equal Roots, Or No Real Roots
- 3.12Quadratic Functions: Solve Quadratic Equations For Real Roots
- 3.13Quadratic Functions: Find The Solution Set For Quadratic Inequalities
- 3.14Factors Of Polynomials: Know And Use The Remainder And Factor Theorems
- 3.15Factors Of Polynomials: Find Factors Of Polynomials
- 3.16Factors Of Polynomials: Solve Cubic Equations
- 3.17Equations, Inequalities And Graphs: Solve Equations Involving Modulus Functions
- 3.18Equations, Inequalities And Graphs: Solve Inequalities Involving Modulus Functions
- 3.19Equations, Inequalities And Graphs: Use Substitution To Form And Solve A Quadratic Equation
- 3.20Equations, Inequalities And Graphs: Sketch Graphs Of Cubic Polynomials And Their Moduli
- 3.21Equations, Inequalities And Graphs: Solve Cubic Inequalities Graphically
- 3.22Simultaneous Equations: Solve Simultaneous Equations In Two Unknowns By Elimination Or Substitution
- 3.23Logarithmic And Exponential Functions: Know And Use Properties And Graphs Of Logarithmic And Exponential Functions
- 3.24Logarithmic And Exponential Functions: Know And Use The Laws Of Logarithms, Including Change Of Base
- 3.25Logarithmic And Exponential Functions: Solve Equations Of The Form aˣ = b
- 3.26Straight-Line Graphs: Use The Equation Of A Straight Line
- 3.27Straight-Linae Graphs: Know And Use The Condition For Parallel And Perpendicular Lines
- 3.28Straight-Line Graphs: Solve Problems Involving Midpoint, Length Of A Line, And Perpendicular Bisectors
- 3.29Straight-Line Graphs: Transform Relationships To And From Straight-Line Form
- 3.30Coordinate Geometry Of The Circle: Know And Use The Equation Of A Circle
- 3.31Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 3.32Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 3.33Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of Two Circles
- 3.34Circular Measure: Solve Problems Involving Arc Length And Sector Area Using Radians
- 3.35Trigonometry: Know And Use The Six Trigonometric Functions
- 3.36Trigonometry: Understand And Use Amplitude And Period Of Trigonometric Functions
- 3.37Trigonometry: Draw And Use Graphs Of Trigonometric Functions
- 3.38Trigonometry: Use Trigonometric Identities (sin²A + cos²A = 1, etc.)
- 3.39Trigonometry: Solve Trigonometric Equations For A Given Domain
- 3.40Trigonometry: Prove Trigonometric Relationships
- 3.41Permutations And Combinations: Recognise The Difference Between Permutations And Combinations
- 3.42Permutations And Combinations: Know And Use n! And Formulas For Permutations And Combinations
- 3.43Permutations And Combinations: Solve Problems On Arrangement And Selection
- 3.44Series: Use The Binomial Theorem For Expansion Of (a + b)ⁿ
- 3.45Series: Use The General Term In Binomial Expansion
- 3.46Series: Recognise Arithmetic And Geometric Progressions
- 3.47Series: Use Formulas For nth Term And Sum Of Arithmetic And Geometric Progressions
- 3.48Series: Use The Condition For Convergence Of A Geometric Progression And The Formula For Sum To Infinity
- 3.49Vectors In Two Dimensions: Understand And Use Vector Notation
- 3.50Vectors In Two Dimensions: Know And Use Position Vectors And Unit Vectors
- 3.51Vectors In Two Dimensions: Find Magnitude, Add, Subtract And Multiply Vectors By Scalars
- 3.52Vectors In Two Dimensions: Compose And Resolve Velocities
- 3.53Calculus: Understand The Idea Of A Derived Function
- 3.54Calculus: Use Derivative Notations f′(x), f″(x), dy/dx
- 3.55Calculus: Know And Use Derivatives Of Standard Functions (xⁿ, sin x, cos x, tan x, eˣ, ln x)
- 3.56Calculus: Differentiate Products And Quotients Of Functions
- 3.57Calculus: Use Differentiation To Find Gradients, Tangents And Normals
- 3.58Calculus: Use Differentiation To Find Stationary Points
- 3.59Calculus: Apply Differentiation To Rates Of Change, Small Increments And Approximations
- 3.60Calculus: Apply Differentiation To Maxima And Minima Problems
- 3.61Calculus: Use First And Second Derivative Tests For Maxima And Minima
- 3.62Calculus: Understand Integration As The Reverse Process Of Differentiation
- 3.63Calculus: Integrate Sums Of Terms In Powers Of x And Of The Form 1/(ax + b)
- 3.64Calculus: Integrate Functions Such As (ax + b)ⁿ, sin(ax + b), cos(ax + b), sec²(ax + b), e^(ax + b)
- 3.65Calculus: Evaluate Definite Integrals And Apply To Areas
- 3.66Calculus: Apply Differentiation And Integration To Kinematics Problems
- 3.67Calculus: Draw And Use Graphs For Displacement–Time, Distance–Time, Velocity–Time, Speed–Time, And Acceleration–Time
- Quizzes For Crash Preparation/ RevisionQuick Learning Quizzes To Test Knowledge And Exam Material66
- 4.1Functions: Understand The Terms: Function, Domain, Range (Image Set), One–One Function, Many–One Function, Inverse Function And Composition Of Functions
- 4.2Functions: Find The Domain And Range Of Functions
- 4.3Functions: Recognise And Use Function Notation
- 4.4Functions: Understand The Relationship Between y = f(x) And y = |f(x)|
- 4.5Functions: Explain In Words Why A Given Function Does Not Have An Inverse
- 4.6Functions: Find The Inverse Of A One–One Function
- 4.7Functions: Form And Use Composite Functions
- 4.8Functions: Use Sketch Graphs To Show The Relationship Between A Function And Its Inverse
- 4.9Quadratic Functions: Find The Maximum Or Minimum Value Of A Quadratic Function
- 4.10Quadratic Functions: Know The Conditions For f(x) = 0 To Have Two Real Roots, Two Equal Roots, Or No Real Roots
- 4.11Quadratic Functions: Solve Quadratic Equations For Real Roots
- 4.12Quadratic Functions: Find The Solution Set For Quadratic Inequalities
- 4.13Factors Of Polynomials: Know And Use The Remainder And Factor Theorems
- 4.14Factors Of Polynomials: Find Factors Of Polynomials
- 4.15Factors Of Polynomials: Solve Cubic Equations
- 4.16Equations, Inequalities And Graphs: Solve Equations Involving Modulus Functions
- 4.17Equations, Inequalities And Graphs: Solve Inequalities Involving Modulus Functions
- 4.18Equations, Inequalities And Graphs: Use Substitution To Form And Solve A Quadratic Equation
- 4.19Equations, Inequalities And Graphs: Sketch Graphs Of Cubic Polynomials And Their Moduli
- 4.20Equations, Inequalities And Graphs: Solve Cubic Inequalities Graphically
- 4.21Simultaneous Equations: Solve Simultaneous Equations In Two Unknowns By Elimination Or Substitution
- 4.22Logarithmic And Exponential Functions: Know And Use Properties And Graphs Of Logarithmic And Exponential Functions
- 4.23Logarithmic And Exponential Functions: Know And Use The Laws Of Logarithms, Including Change Of Base
- 4.24Logarithmic And Exponential Functions: Solve Equations Of The Form aˣ = b
- 4.25Straight-Line Graphs: Use The Equation Of A Straight Line
- 4.26Straight-Line Graphs: Know And Use The Condition For Parallel And Perpendicular Lines
- 4.27Straight-Line Graphs: Solve Problems Involving Midpoint, Length Of A Line, And Perpendicular Bisectors
- 4.28Straight-Line Graphs: Transform Relationships To And From Straight-Line Form
- 4.29Coordinate Geometry Of The Circle: Know And Use The Equation Of A Circle
- 4.30Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 4.31Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 4.32Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of Two Circles
- 4.33Circular Measure: Solve Problems Involving Arc Length And Sector Area Using Radians
- 4.34Trigonometry: Know And Use The Six Trigonometric Functions
- 4.35Trigonometry: Understand And Use Amplitude And Period Of Trigonometric Functions
- 4.36Trigonometry: Draw And Use Graphs Of Trigonometric Functions
- 4.37Trigonometry: Use Trigonometric Identities (sin²A + cos²A = 1, etc.)
- 4.38Trigonometry: Solve Trigonometric Equations For A Given Domain
- 4.39Trigonometry: Prove Trigonometric Relationships
- 4.40Permutations And Combinations: Recognise The Difference Between Permutations And Combinations
- 4.41Permutations And Combinations: Know And Use n! And Formulas For Permutations And Combinations
- 4.42Permutations And Combinations: Solve Problems On Arrangement And Selection
- 4.43Series: Use The Binomial Theorem For Expansion Of (a + b)ⁿ
- 4.44Series: Use The General Term In Binomial Expansion
- 4.45Series: Recognise Arithmetic And Geometric Progressions
- 4.46Series: Use Formulas For nth Term And Sum Of Arithmetic And Geometric Progressions
- 4.47Series: Use The Condition For Convergence Of A Geometric Progression And The Formula For Sum To Infinity
- 4.48Vectors In Two Dimensions: Understand And Use Vector Notation
- 4.49Vectors In Two Dimensions: Know And Use Position Vectors And Unit Vectors
- 4.50Vectors In Two Dimensions: Find Magnitude, Add, Subtract And Multiply Vectors By Scalars
- 4.51Vectors In Two Dimensions: Compose And Resolve Velocities
- 4.52Calculus: Understand The Idea Of A Derived Function
- 4.53Calculus: Use Derivative Notations f′(x), f″(x), dy/dx
- 4.54Calculus: Know And Use Derivatives Of Standard Functions (xⁿ, sin x, cos x, tan x, eˣ, ln x)
- 4.55Calculus: Differentiate Products And Quotients Of Functions
- 4.56Calculus: Use Differentiation To Find Gradients, Tangents And Normals
- 4.57Calculus: Use Differentiation To Find Stationary Points
- 4.58Calculus: Apply Differentiation To Rates Of Change, Small Increments And Approximations
- 4.59Calculus: Apply Differentiation To Maxima And Minima Problems
- 4.60Calculus: Use First And Second Derivative Tests For Maxima And Minima
- 4.61Calculus: Understand Integration As The Reverse Process Of Differentiation
- 4.62Calculus: Integrate Sums Of Terms In Powers Of x And Of The Form 1/(ax + b)
- 4.63Calculus: Integrate Functions Such As (ax + b)ⁿ, sin(ax + b), cos(ax + b), sec²(ax + b), e^(ax + b)
- 4.64Calculus: Evaluate Definite Integrals And Apply To Areas
- 4.65Calculus: Apply Differentiation And Integration To Kinematics Problems
- 4.66Calculus: Draw And Use Graphs For Displacement–Time, Distance–Time, Velocity–Time, Speed–Time, And Acceleration–Time
- Concise Paper Attempt Tips and TricksQuick Tips and Tricks To Excel In Your Exam/ Preparation0
- Cheat SheetsShort, Quick Revision Cheat Sheets67
- 6.1Functions: Understand The Terms: Function, Domain, Range (Image Set), One–One Function, Many–One Function, Inverse Function And Composition Of Functions
- 6.2Functions: Find The Domain And Range Of Functions
- 6.3Functions: Recognise And Use Function Notation
- 6.4Functions: Understand The Relationship Between y = f(x) And y = |f(x)|
- 6.5Functions: Explain In Words Why A Given Function Does Not Have An Inverse
- 6.6Functions: Find The Inverse Of A One–One Function
- 6.7Functions: Form And Use Composite Functions
- 6.8Functions: Use Sketch Graphs To Show The Relationship Between A Function And Its Inverse
- 6.9Quadratic Functions: Find The Maximum Or Minimum Value Of A Quadratic Function
- 6.10Quadratic Functions: Use The Maximum Or Minimum Value To Sketch The Graph Or Determine The Range
- 6.11Quadratic Functions: Know The Conditions For f(x) = 0 To Have Two Real Roots, Two Equal Roots, Or No Real Roots
- 6.12Quadratic Functions: Solve Quadratic Equations For Real Roots
- 6.13Quadratic Functions: Find The Solution Set For Quadratic Inequalities
- 6.14Factors Of Polynomials: Know And Use The Remainder And Factor Theorems
- 6.15Factors Of Polynomials: Find Factors Of Polynomials
- 6.16Factors Of Polynomials: Solve Cubic Equations
- 6.17Equations, Inequalities And Graphs: Solve Equations Involving Modulus Functions
- 6.18Equations, Inequalities And Graphs: Solve Inequalities Involving Modulus Functions
- 6.19Equations, Inequalities And Graphs: Use Substitution To Form And Solve A Quadratic Equation
- 6.20Equations, Inequalities And Graphs: Sketch Graphs Of Cubic Polynomials And Their Moduli
- 6.21Equations, Inequalities And Graphs: Solve Cubic Inequalities Graphically
- 6.22Simultaneous Equations: Solve Simultaneous Equations In Two Unknowns By Elimination Or Substitution
- 6.23Logarithmic And Exponential Functions: Know And Use Properties And Graphs Of Logarithmic And Exponential Functions
- 6.24Logarithmic And Exponential Functions: Know And Use The Laws Of Logarithms, Including Change Of Base
- 6.25Logarithmic And Exponential Functions: Solve Equations Of The Form aˣ = b
- 6.26Straight-Line Graphs: Use The Equation Of A Straight Line
- 6.27Straight-Line Graphs: Know And Use The Condition For Parallel And Perpendicular Lines
- 6.28Straight-Line Graphs: Solve Problems Involving Midpoint, Length Of A Line, And Perpendicular Bisectors
- 6.29Straight-Line Graphs: Transform Relationships To And From Straight-Line Form
- 6.30Coordinate Geometry Of The Circle: Know And Use The Equation Of A Circle
- 6.31Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 6.32Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of A Circle And A Straight Line
- 6.33Coordinate Geometry Of The Circle: Solve Problems Involving Intersection Of Two Circles
- 6.34Circular Measure: Solve Problems Involving Arc Length And Sector Area Using Radians
- 6.35Trigonometry: Know And Use The Six Trigonometric Functions
- 6.36Trigonometry: Understand And Use Amplitude And Period Of Trigonometric Functions
- 6.37Trigonometry: Draw And Use Graphs Of Trigonometric Functions
- 6.38Trigonometry: Use Trigonometric Identities (sin²A + cos²A = 1, etc.)
- 6.39Trigonometry: Solve Trigonometric Equations For A Given Domain
- 6.40Trigonometry: Prove Trigonometric Relationships
- 6.41Permutations And Combinations: Recognise The Difference Between Permutations And Combinations
- 6.42Permutations And Combinations: Know And Use n! And Formulas For Permutations And Combinations
- 6.43Permutations And Combinations: Solve Problems On Arrangement And Selection
- 6.44Series: Use The Binomial Theorem For Expansion Of (a + b)ⁿ
- 6.45Series: Use The General Term In Binomial Expansion
- 6.46Series: Recognise Arithmetic And Geometric Progressions
- 6.47Series: Use Formulas For nth Term And Sum Of Arithmetic And Geometric Progressions
- 6.48Series: Use The Condition For Convergence Of A Geometric Progression And The Formula For Sum To Infinity
- 6.49Vectors In Two Dimensions: Understand And Use Vector Notation
- 6.50Vectors In Two Dimensions: Know And Use Position Vectors And Unit Vectors
- 6.51Vectors In Two Dimensions: Find Magnitude, Add, Subtract And Multiply Vectors By Scalars
- 6.52Vectors In Two Dimensions: Compose And Resolve Velocities
- 6.53Calculus: Understand The Idea Of A Derived Function
- 6.54Calculus: Use Derivative Notations f′(x), f″(x), dy/dx
- 6.55Calculus: Know And Use Derivatives Of Standard Functions (xⁿ, sin x, cos x, tan x, eˣ, ln x)
- 6.56Calculus: Differentiate Products And Quotients Of Functions
- 6.57Calculus: Use Differentiation To Find Gradients, Tangents And Normals
- 6.58Calculus: Use Differentiation To Find Stationary Points
- 6.59Calculus: Apply Differentiation To Rates Of Change, Small Increments And Approximations
- 6.60Calculus: Apply Differentiation To Maxima And Minima Problems
- 6.61Calculus: Use First And Second Derivative Tests For Maxima And Minima
- 6.62Calculus: Understand Integration As The Reverse Process Of Differentiation
- 6.63Calculus: Integrate Sums Of Terms In Powers Of x And Of The Form 1/(ax + b)
- 6.64Calculus: Integrate Functions Such As (ax + b)ⁿ, sin(ax + b), cos(ax + b), sec²(ax + b), e^(ax + b)
- 6.65Calculus: Evaluate Definite Integrals And Apply To Areas
- 6.66Calculus: Apply Differentiation And Integration To Kinematics Problems
- 6.67Calculus: Draw And Use Graphs For Displacement–Time, Distance–Time, Velocity–Time, Speed–Time, And Acceleration–Time
- Selective Sample Answers/ SolutionsA Few Selective Sample Answers and Solutions To Boost Examination Performance0
- Other MaterialOther Useful Material For Exams0
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Course Features
- Lectures 267
- Quiz 0
- Duration 6-8 Weeks
- Skill level All levels
- Language English-Urdu
- Students 0
- Assessments Yes