Mathematics (P1 and M1) (9709) | AS LEVEL | Full-Scale Course
This Full-Scale course / Complete Course offers a complete online coverage for both the syllabus and the preparation for the examination. The AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course …
Overview
This Full-Scale course / Complete Course offers a complete online coverage for both the syllabus and the preparation for the examination. The AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) is the complete course, where the prime goal is to train a student from scratch to learn everything that they need to know for the examination, as well as in-depth understanding of the syllabus material. We incorporate a sophisticated strategy to target all the subject areas that are required to get the best grade possible. The AS Level Mathematics 9709 Course covers the complete syllabus of Mathematics (9709) – AS Level. The AS Level Course has been designed to help any student, no matter how much they have prepared for the subject. Students at all levels can benefit from the AS Level Mathematics 9709. You are not required to buy any book to complement the AS Level Mathematics 9709 Course as it covers all that is required for a successful attempt at the subject. Also, being a Full-Scale Course, the curriculum follows periodic content availability, just like a real classroom.
However, the timing of the class does not matter: each student can cover the material as per their own feasibility. Whenever new content is uploaded or is available, an announcement is made both on the AS Level Mathematics 9709 Course page and communicated via e-mail to the students so that they may stay informed. Also, you may join later as the AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) 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 AS Level Mathematics 9709 Course progresses.
Ideally, the course contains:
- Complete lectures of Each Topic in A Unique Way
- Notes and Videos
- 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 AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) now and get the best grades in upcoming examination.
What Educate A Change Expects From The Student For This Course?
Full Scale Courses on Educate A Change are designed specifically to study the syllabus in-depth and solve as many past papers as possible. Our expectation with such AS Level Mathematics 9709 Course are as follows:
- The student may or may not be aware of the basic contents of the syllabus. Thus, these courses suit the students who are studying a syllabus for the first time.
- The student may or may not understand the basic paper solution pattern.
- The student’s expectation regarding AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) is to learn the complete syllabus, learn paper solving techniques and practice as many past papers as possible for the upcoming examination.
- The student needs a complete and in-depth understanding of the entire syllabus content.
- AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) is the student’s preferred method to get the best grade in their exams.
How Will The Course Progress?
The AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) has been designed to provide maximum flexibility to our students. Here is a breakup of how the AS Level Mathematics 9709 Course will progress in general. This division is subject to change based on the progression of the AS Level Mathematics 9709 Course:
- Once your AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) 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 Full Scale Courses have 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. 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 AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) 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 AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) as well. These assignments are designed using the past paper contents, mostly. 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 marking date 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 AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) 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 AS Level Mathematics 9709 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?
AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online) 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 AS Level Mathematics 9709 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 AS Level Mathematics 9709 Course does NOT register or pay your fee for the official Cambridge examination
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 AS Level Mathematics 9709 Complete Course online / Full-Scale Course Online (AS Level Mathematics 9709 Full Scale Course online / Complete Course online)
A reply or support in any of the above-mentioned issues may NOT be expected.
Curriculum
- 19 Sections
- 260 Lessons
- 32 Weeks
Expand all sectionsCollapse all sections
- Sample ContentSample Notes, Videos, Quizzes, Cheat Sheets, Assignments and Much More For Pre-Purchase Consideration.4
- Course Related InformationImportant Information Related To The Courses, Live Classes, Zoom Links etc.3
- Notes + Written Material For Contents of The SyllabusNotes for Chapters + Written Resources Regarding The Content56
- 3.1Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 3.2Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 3.3Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 3.4Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 3.5Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 3.6Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 3.7Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 3.8Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 3.9Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 3.10Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 3.11Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 3.12Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 3.13Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 3.14Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 3.15Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 3.16Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 3.17Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 3.18Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 3.19Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 3.20Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 3.21Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 3.22Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 3.23Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 3.24Series: Recognise Arithmetic And Geometric Progressions
- 3.25Series: Use The Formulae For The nᵗʰ Term And For The Sum Of The First n Terms To Solve Problems Involving Arithmetic Or Geometric Progressions
- 3.26Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 3.27Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 3.28Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 3.29Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 3.30Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 3.31Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 3.32Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 3.33Integration: Evaluate Definite Integrals
- 3.34Integration: Use Definite Integration To Find
- 3.35Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 3.36Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 3.37Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 3.38Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 3.39Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 3.40Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 3.41Forces And Equilibrium: Use Newton’s Third Law
- 3.42Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 3.43Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 3.44Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 3.45Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 3.46Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 3.47Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 3.48Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 3.49Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 3.50Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 3.51Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 3.52Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 3.53Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 3.54Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 3.55Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 3.56Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
- Video Lectures For The ContentVideo Lectures Covering Course Content In Detail13
- QuizzesShort Quizzes To Auto-Test Your Knowledge of The Syllabus14
- 5.1Quadratics10 Minutes0 Questions
- 5.2Functions10 Minutes0 Questions
- 5.3Coordinate Geometry10 Minutes0 Questions
- 5.4Circular Measure10 Minutes0 Questions
- 5.5Trigonometry10 Minutes0 Questions
- 5.6Series10 Minutes0 Questions
- 5.7Differentiation10 Minutes0 Questions
- 5.8Integration10 Minutes0 Questions
- 5.9Forces And Equilibrium10 Minutes0 Questions
- 5.10Kinematics of Motion In A Straight Line10 Minutes0 Questions
- 5.11Momentum10 Minutes0 Questions
- 5.12Newton’s Laws of Motion10 Minutes0 Questions
- 5.13Energy, Work And Power10 Minutes0 Questions
- 5.14Quadratics
- Quizzes For PreparationQuizzes With Detailed Explained Answers And Common Mistakes Discussed In Detail56
- 6.1Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 6.2Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 6.3Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 6.4Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 6.5Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 6.6Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 6.7Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 6.8Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 6.9Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 6.10Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 6.11Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 6.12Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 6.13Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 6.14Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 6.15Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 6.16Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 6.17Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 6.18Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 6.19Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 6.20Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 6.21Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 6.22Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 6.23Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 6.24Series: Recognise Arithmetic And Geometric Progressions
- 6.25Series: Use The Formulae For The nᵗʰ Term And For The Sum Of The First n Terms To Solve Problems Involving Arithmetic Or Geometric Progressions
- 6.26Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 6.27Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 6.28Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 6.29Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 6.30Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 6.31Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 6.32Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 6.33Integration: Evaluate Definite Integrals
- 6.34Integration: Use Definite Integration To Find
- 6.35Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 6.36Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 6.37Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 6.38Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 6.39Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 6.40Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 6.41Forces And Equilibrium: Use Newton’s Third Law
- 6.42Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 6.43Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 6.44Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 6.45Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 6.46Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 6.47Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 6.48Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 6.49Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 6.50Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 6.51Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 6.52Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 6.53Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 6.54Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 6.55Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 6.56Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
- AssignmentsDetailed Assignments For Syllabus Preparation (Including Past Paper Questions)26
- 7.1Quadratics3 Days
- 7.2Functions3 Days
- 7.3Coordinate Geometry3 Days
- 7.4Circular Measure3 Days
- 7.5Trigonometry3 Days
- 7.6Series3 Days
- 7.7Differentiation3 Days
- 7.8Integration3 Days
- 7.9Forces And Equilibrium3 Days
- 7.10Kinematics of Motion In A Straight Line3 Days
- 7.11Momentum3 Days
- 7.12Newton’s Laws of Motion3 Days
- 7.13Energy, Work And Power3 Days
- 7.14Quadratics
- 7.15Functions
- 7.16Coordinate Geometry
- 7.17Circular Measure
- 7.18Trigonometry
- 7.19Series
- 7.20Differentiation
- 7.21Integration
- 7.22Forces and Equilibrium
- 7.23Kinematics of Motion In A Straight Line
- 7.24Momentum
- 7.25Newton’s Laws of Motion
- 7.26Energy, Work and Power
- Paper Pattern/ Paper Preparation/ Techniques To Attempt The Paper/ Common Mistakes To AvoidDetailed Information Including Written + Video Material Regarding Paper Attempt / Preparation/ Techniques/ Common Mistakes To Avoid0
- Solved Past PapersDetailed Written Explanations And Solutions of Past Papers, Including Model Answers and Explanations For Past Paper Questions2
- Past Paper SessionsVideo Content Regarding Past Paper Solutions0
- Notes (Rearranged Version)Notes Arranged In A Different Style For Preparation Ease14
- 11.1Quadratics and Quadratic Equations
- 11.2Functions
- 11.3Trigonometry
- 11.4Circular Measure
- 11.5Coordinate Geometry
- 11.6Velocity and Acceleration
- 11.7Force and Motion
- 11.8Vertical Motion
- 11.9Resolving Forces
- 11.10Friction
- 11.11Connected Particles
- 11.12Work, Energy and Power
- 11.13Momentum
- 11.14General Motion in a Straight Line
- Videos Lectures (Pre-Recorded)Videos Recorded In A Different Style For Preparation Ease0
- Formulae Sheets0
- Cheat SheetsShort, Quick Revision Cheat Sheets56
- 14.1Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 14.2Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 14.3Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 14.4Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 14.5Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 14.6Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 14.7Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 14.8Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 14.9Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 14.10Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 14.11Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 14.12Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 14.13Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 14.14Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 14.15Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 14.16Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 14.17Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 14.18Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 14.19Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 14.20Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 14.21Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 14.22Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 14.23Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 14.24Series: Recognise Arithmetic And Geometric Progressions
- 14.25Series: Use The Formulae For The nᵗʰ Term And For The Sum Of The First n Terms To Solve Problems Involving Arithmetic Or Geometric Progressions
- 14.26Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 14.27Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 14.28Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 14.29Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 14.30Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 14.31Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 14.32Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 14.33Integration: Evaluate Definite Integrals
- 14.34Integration: Use Definite Integration To Find
- 14.35Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 14.36Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 14.37Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 14.38Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 14.39Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 14.40Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 14.41Forces And Equilibrium: Use Newton’s Third Law
- 14.42Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 14.43Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 14.44Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 14.45Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 14.46Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 14.47Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 14.48Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 14.49Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 14.50Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 14.51Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 14.52Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 14.53Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 14.54Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 14.55Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 14.56Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
- Practice Questions/ Practice ExamsPractice Questions/ Exams Based Both On Actual Exam Pattern And On Topical Content To Boost Preparation And Improve Performance13
- Mock Tests/ Mock ExamsMock Exams For Final Preparation0
- Class RecordingsClass Recordings From Previous Sessions/ Current Session For Content0
- Other MaterialOther Useful Material For Exams16
- 18.1Formulae Sheet: Quadratics
- 18.2Formulae Sheet: Functions
- 18.3Formulae Sheet: Coordinate Geometry
- 18.4Formulae Sheet: Circular Measure
- 18.5Formulae Sheet: Trigonometry
- 18.6Formulae Sheet: Series
- 18.7Formulae Sheet: Differentiation
- 18.8Formulae Sheet: Integration
- 18.9Formulae Sheet: Forces and Equilibrium
- 18.10Formulae Sheet: Kinematics of Motion In A Straight Line
- 18.11Formulae Sheet: Momentum
- 18.12Formulae Sheet: Newton’s Law of Motion
- 18.13Formulae Sheet: Energy, Work and Power
- 18.14Formulae Sheet:
- 18.15Formula Sheet: Algebra
- 18.16F
- Notes (Rearranged Version 2)Notes Arranged In A Different Style For Preparation Ease13
Instructor
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₨123,123.00
Course Features
- Lectures 260
- Quizzes 13
- Duration 2-4 Months
- Skill level All levels
- Language English-Urdu
- Students 8
- Assessments Yes