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H2 Math Tuition, is it needed? In Odyssey Math, in addition to focusing on students’ mathematical concepts and the difficulties they faced understanding mathematics, Mr Tan will always try his best to motivate his students and at the same time identify weaknesses and gaps in his students’ mathematical understanding. The key to teaching is not only to just go through mathematics during the 2 hours class but also to be genuine in helping students during and even after lessons. Mr Tan seeks to work with his students and provide them the necessary support as much as possible. For H2 Math, the key to doing well is to apply the right concepts and do enough practice questions to hone their math foundation.

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Math Topical Videos, Topical Mock Papers, Exams and Crash Courses for Secondary Math (G2/G3/IP)

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Math Topical Videos, Topical Mock Papers and Exams For H2 Math

H2 Math Tuition: Boost Your Grades and Ace Your Exams!

If you’re a junior college student in Singapore, you know that H2 Math is one of the most challenging subjects you’ll encounter. With its complex formulas and abstract concepts, it can be difficult to grasp, especially if you’re not a natural at mathematics. That’s why many students turn to H2 Math tuition to get the extra help they need to excel in this subject.

H2 Math tuition can be an excellent way to improve your grades, deepen your understanding of the subject, and develop better study habits. In this article, we’ll explore what H2 Math tuition is, what you can expect from these classes, and how to choose the right tuition programme for your needs. We’ll also discuss the benefits of online learning and the specialised programmes available for students who want to take their math skills to the next level.

Understanding H2 Math

If you are studying H2 Math, you are on the right track to pursuing a career in fields such as engineering, finance, and science. H2 Math is a challenging subject that requires a strong foundation in key mathematical concepts. In this section, we will explore the key concepts in H2 Math and the importance of a strong foundation.

Key Concepts in H2 Math

H2 Math covers a wide range of topics, including calculus, complex numbers, vectors, and statistics. It is important to have a deep understanding of these concepts to excel in the subject. Calculus, for example, is a fundamental concept in mathematics that deals with the study of continuous change. It is used in fields such as physics, engineering, and economics. Complex numbers, on the other hand, are used in many areas of mathematics, including algebra, geometry, and calculus. Vectors are used to represent physical quantities that have both magnitude and direction, such as force and velocity. Statistics is the study of data and is used in fields such as finance, marketing, and science.

The Importance of a Strong Foundation

To excel in H2 Math, it is essential to have a strong foundation in key mathematical concepts. This foundation is built in the lower secondary and upper secondary levels, where you will learn the basics of algebra, geometry, and trigonometry. A strong foundation is important because it allows you to understand and apply more complex concepts in H2 Math. Without a strong foundation, you may struggle to keep up with the pace of the subject and may find it difficult to grasp more complex concepts.

In conclusion, H2 Math is a challenging subject that requires a strong foundation in key mathematical concepts. It covers a wide range of topics, including calculus, complex numbers, vectors, and statistics. By having a deep understanding of these concepts and building a strong foundation, you will be well-equipped to excel in the subject and pursue a career in fields such as engineering, finance, and science.

 

Curriculum Overview

If you’re considering taking H2 Math, it’s important to understand the curriculum and how it fits into the Singapore Math Education System. In this section, we’ll give you an overview of the H2 Math curriculum, including the A Level Math Syllabus and the Singapore Math Education System.

 

A Level Math Syllabus

The A Level Math Syllabus is designed to challenge students and prepare them for university-level mathematics. It covers a wide range of topics, including calculus, algebra, and geometry. The syllabus is divided into two parts: the H1 Math syllabus and the H2 Math syllabus.

The H1 Math syllabus is designed to give students a solid foundation in mathematics and prepare them for university-level courses that require a basic understanding of math. The H2 Math syllabus, on the other hand, is designed for students who want to pursue a degree in mathematics, science, engineering, or related fields.

The H2 Math syllabus covers a wide range of topics, including calculus, algebra, and geometry. It is designed to challenge students and prepare them for university-level math courses. The syllabus is divided into six modules, each of which covers a specific topic in depth.

 

Singapore Math Education System

The Singapore Math Education System is well-known for its focus on problem-solving and critical thinking skills. It is designed to help students develop a deep understanding of math concepts and apply them in real-world situations.

The system is based on the belief that every student can learn math, regardless of their background or abilities. It is designed to be inclusive and accessible to all students, regardless of their learning style or pace.

Overall, the H2 Math curriculum is a challenging and rewarding program that prepares students for university-level math courses. By understanding the A Level Math Syllabus and the Singapore Math Education System, you’ll be better equipped to succeed in your H2 Math studies.

 

Tuition Class Structure

If you’re looking for H2 Math tuition, you’ll want to find a tuition centre that can meet your learning needs. One of the most important factors to consider is the class structure. A good tuition class structure can make all the difference in how well you understand and retain the material.

 

Small Class Advantages

Small class sizes are one of the biggest advantages of H2 Math tuition. With fewer students in the class, you’ll have more opportunities to ask questions and get help from the tutor. This can be especially important if you’re struggling with certain concepts or need extra help with homework.

In a small class, the tutor can also spend more time with each student, providing individualised attention and feedback. This can help you identify areas where you need to improve and develop a plan to address those weaknesses.

 

Interactive Learning Environment

Another key advantage of H2 Math tuition is the interactive learning environment. In a good tuition class, you’ll have the opportunity to engage with the material and participate in discussions and activities. This can help you understand the material more deeply and retain it better.

Interactive learning can take many forms, from group discussions to hands-on activities to online simulations. The goal is to keep you engaged and interested in the material, so you’re more likely to remember it and apply it in the future.

Tuition centres that offer small classes and an interactive learning environment can be a great choice for H2 Math students. Look for a centre that prioritises your learning needs and can provide the support and guidance you need to succeed.

 

Math Tutoring Techniques

If you’re looking for an H2 math tutor, you want to be sure that they have the teaching experience and expertise to help you succeed. But what sets the best math tutors apart is their ability to use personalised teaching methods that cater to your specific learning style. Here are some of the most effective techniques that top math tutors use to help their students excel.

Personalised Teaching Methods

A great H2 math tutor knows that every student is unique, with their own strengths and weaknesses. That’s why they’ll take the time to get to know you and your learning style, so they can tailor their teaching methods to suit your needs. This might involve using visual aids, hands-on activities, or real-world examples to help you grasp difficult concepts. By catering to your individual learning style, your tutor can help you build confidence and achieve your goals.

 

Encouraging Problem-Solving Skills

Math isn’t just about memorising formulas and equations. To truly excel in H2 math, you need to develop strong problem-solving skills that allow you to tackle complex problems with ease. The best math tutors know this, and will focus on helping you develop your critical thinking and analytical skills. By encouraging you to think outside the box and approach problems from different angles, your tutor can help you become a more confident and capable math student.

Overall, the key to success in H2 math is finding a math tutor who can help you develop your problem-solving skills and cater to your individual learning style. With the right techniques and teaching methods, you can master even the most challenging maths concepts and achieve your academic goals.

 

Advancement Through Practice

Are you struggling to keep up with your H2 Math lessons? Do you feel like you’re not making any progress? One of the most effective ways to improve your H2 Math skills is through consistent practice. In this section, we’ll explore how practice can help you advance in your H2 Math tuition.

 

Homework and Worked Examples

Homework is an essential part of H2 Math tuition. It allows you to apply what you’ve learned in class and identify areas where you need more practice. Your tutor will provide you with practice questions and worked examples to help you understand the concepts better. By doing your homework regularly, you’ll be able to reinforce what you’ve learned in class and improve your problem-solving skills.

Worked examples are particularly useful because they show you step-by-step how to solve a particular problem. They help you understand the thought process behind solving a problem and give you a framework to approach similar problems. Make sure you pay close attention to the worked examples and try to solve the problems on your own before checking the answers.

 

Regular Testing and Feedback

Regular testing is another critical component of H2 Math tuition. It allows you to assess your understanding of the concepts and identify areas where you need more practice. Your tutor will provide you with practice tests that simulate the actual exam. By taking these tests regularly, you’ll be able to identify your strengths and weaknesses and focus your practice accordingly.

Feedback is also essential to your progress. Your tutor will provide you with feedback on your homework and tests, helping you identify areas where you need to improve. Make sure you pay close attention to the feedback and try to implement it in your practice. By doing so, you’ll be able to make steady progress and improve your H2 Math skills.

In conclusion, practice is key to advancing in your H2 Math tuition. By doing your homework regularly, paying attention to worked examples, taking regular tests, and implementing feedback, you’ll be able to improve your problem-solving skills and make steady progress.

 

Online Learning Options

If you prefer the flexibility of online learning, then H2 math tuition has got you covered. With online classes, you can learn from anywhere in the world, and at any time that suits you. Here are some of the benefits of online learning:

 

Virtual Classroom Benefits

Online classes are held in a virtual classroom, which is similar to a physical classroom. The only difference is that you can attend the class from the comfort of your own home. You can interact with your teacher and classmates in real-time, just like you would in a physical classroom. This means that you can ask questions and get answers right away. You can also participate in group discussions and work on group projects.

 

Supplementary Online Resources

In addition to live online classes, many H2 math tuition providers offer supplementary online resources such as video lessons and recorded video solutions. These resources can be accessed at any time, which means that you can learn at your own pace. Video lessons are especially helpful because you can pause, rewind and replay them as many times as you need to. Recorded video solutions are also useful because you can see how problems are solved step-by-step.

Overall, online learning is a great option for those who prefer the flexibility of learning from home. With virtual classrooms and supplementary online resources, you can get the same quality of education as you would in a physical classroom. So why not give it a try?

 

Math Topics Explored

If you’re planning to take H2 Math, you’ll be exploring a variety of topics that will help you develop a solid understanding of mathematics. Here are some of the topics you can expect to cover:

 

Calculus and Its Applications

Calculus is a fundamental part of H2 Math, and you’ll be exploring both differentiation and integration. Differentiation is the process of finding the rate of change of a function, while integration is the process of finding the area under a curve. You’ll also be exploring the applications of calculus in fields such as physics, engineering, and economics.

 

Statistics and Probability

In H2 Math, you’ll be exploring statistics and probability, which are crucial for understanding how to analyze data. You’ll be learning about topics such as probability distributions, hypothesis testing, and regression analysis. These topics will help you develop a strong foundation in statistical analysis and prepare you for future studies in fields such as data science and finance.

 

Algebra and Functions

Algebra and functions are also fundamental parts of H2 Math. You’ll be exploring topics such as quadratic equations, logarithmic functions, and trigonometry. These topics will help you develop a deep understanding of mathematical concepts and prepare you for future studies in fields such as physics, engineering, and computer science.

Overall, H2 Math is an exciting subject that will challenge you to think critically and develop a strong foundation in mathematics. Whether you’re interested in pursuing a career in science, engineering, or finance, H2 Math will provide you with the skills and knowledge you need to succeed.

 

Exam Preparation Strategies

Preparing for your H2 Math exams can be daunting, but with the right strategies, you can ace your exams with confidence. Here are some tips to help you master exam question types and manage your time effectively.

 

Mastering Exam Question Types

To excel in H2 Math exams, you need to familiarise yourself with the various question types that are likely to appear. These include algebraic manipulation, calculus, complex numbers, probability, and statistics.

One way to master these question types is to practice regularly. Work through past papers and sample questions to build your confidence and improve your problem-solving skills. Additionally, consider seeking help from a qualified H2 Math tutor who can guide you through challenging concepts and provide you with targeted feedback.

 

Time Management and Tricks

Effective time management is key to success in H2 Math exams. Create a realistic timetable that allows you to cover all topics and leaves enough time for revision. Start early to avoid cramming and give yourself enough time to review and consolidate your knowledge.

During the exam, use time management tricks to maximise your efficiency. For example, start with the questions that you find easiest and leave the more challenging ones for later. This will help you build your confidence and ensure that you have enough time to tackle the more difficult questions.

Another trick is to read the question carefully and underline key information. This will help you avoid making careless mistakes and ensure that you answer the question correctly.

By mastering exam question types and using effective time management strategies, you can boost your confidence and achieve success in your H2 Math exams.

 

Additional Support for JC Students

Are you struggling with H2 Math? Do you find yourself stuck on challenging questions? Don’t worry, there are many options available to you for additional support.

 

Extra Help for Challenging Questions

If you are having trouble with specific topics or questions, it can be helpful to seek extra help. Many H2 Math tuition centres offer additional resources such as question banks, summary booklets, and online learning portals. For example, Tim Gan Math offers a compilation of over 1000 questions with handwritten and video solutions, as well as a summary booklet that covers everything you need to know in just 30 pages. The SmileTutor also provides a list of the 10 best options for JC H2 Math tuition in Singapore, which includes centres that offer additional resources to help you tackle challenging questions.

Approachable Tutors for Personal Guidance

Sometimes, all you need is a little extra guidance from an approachable tutor. Many H2 Math tuition centres offer small class sizes, which means you can receive more personalised attention from your tutor. For example, Math Academy holds weekly H2 Maths Tuition classes for JC 1 and JC 2 with a maximum of 9 students per class. The JC H2 Maths Tutor also offers expert tutors who provide comprehensive guidance for JC students, covering key topics and exam strategies.

With these additional resources and approachable tutors, you can get the extra help you need to excel in your H2 Math studies.

Choosing the Right Tuition

If you’re struggling with H2 Maths, getting the right tuition can be a game-changer. But with so many options available, how do you choose the right one for you? Here are some things to consider:

Trial Lessons

Many tuition centres and math tutors offer trial lessons, which give you the chance to try out a lesson before committing to a full course. This is a great opportunity to see if the teaching style and pace of the lesson suit you. During the trial lesson, you can also ask the tutor any questions you might have about the course and get a better idea of what to expect.

Class Sizes

Another factor to consider when choosing the right H2 Maths tuition is class sizes. Different tuition centres and math tutors offer different class sizes, ranging from one-to-one tutoring to larger group classes. If you prefer a more personalised approach, then one-to-one tutoring might be the best option for you. On the other hand, if you enjoy the added motivation and friendly competition of group classes, then you might want to opt for a larger class.

When it comes to choosing the right tuition for H2 Maths, it’s essential to take your time and consider your options. By trying out trial lessons and considering class sizes, you can find the right tuition that suits your learning style and needs. Whether you opt for a tuition centre or math tutor, the right tuition can help you boost your grades and achieve your academic goals.

Beyond the Classroom

When it comes to H2 Math tuition, it’s not just about getting good grades. It’s about building confidence and interest in the subject, preparing for university and beyond, and developing patience and perseverance. Here are some ways that H2 Math tuition can help you go beyond the classroom and achieve your goals.

Building Confidence and Interest

One of the main benefits of H2 Math tuition is that it can help you build confidence in your abilities. With the right tutor, you can get the individual attention you need to overcome any challenges you may be facing and develop a deeper understanding of the subject. As your confidence grows, you may find that your interest in the subject increases as well, making it easier to stay motivated and engaged.

Preparing for University and Beyond

H2 Math is a challenging subject, and it’s one that you’ll need to master if you want to succeed in university and beyond. By taking H2 Math tuition, you can get a head start on the material and develop the skills you’ll need to excel in higher education. You’ll also have the opportunity to work with experienced tutors who can offer guidance and support as you prepare for your future.

Developing Patience and Perseverance

H2 Math can be frustrating at times, especially when you’re struggling to understand a concept or solve a problem. However, with the right mindset and support, you can develop the patience and perseverance you need to overcome these challenges. By working with a tutor who understands your strengths and weaknesses, you can learn to approach problems with a clear and focused mind, and develop the resilience you need to succeed in any situation.

In conclusion, H2 Math tuition is not just about getting good grades. It’s about building confidence and interest in the subject, preparing for university and beyond, and developing patience and perseverance. With the right tutor and the right mindset, you can go beyond the classroom and achieve your goals in H2 Math and beyond.

Specialised Programmes

If you are looking for specialised H2 Math tuition programmes, you have come to the right place. Here at Math Academy, we offer IP Math Enrichment and IB Math Preparation programmes that are tailored to meet your needs.

IP Math Enrichment

Our IP Math Enrichment programme is designed for students who are enrolled in the Integrated Programme (IP). This programme aims to provide students with a strong foundation in Mathematics, equipping them with the necessary skills and knowledge to excel in their IP Math curriculum.

Our experienced tutors will guide you through the various topics covered in the IP Math syllabus, including Algebra, Calculus, and Statistics. We will also provide you with additional resources and practice questions to help you master the subject.

IB Math Preparation

If you are planning to pursue the International Baccalaureate (IB) programme, our IB Math Preparation programme is perfect for you. This programme is designed to help you prepare for the challenging IB Math curriculum.

Our tutors will guide you through the various topics covered in the IB Math syllabus, including Functions, Trigonometry, and Calculus. We will also provide you with practice questions and past papers to help you prepare for your IB Math exams.

At Math Academy, we are committed to helping you achieve your academic goals. Contact us today to find out more about our specialised H2 Math tuition programmes.

Advanced Topics for Keen Learners

If you are a keen learner who wants to challenge yourself beyond the H2 Math curriculum, there are several advanced topics that you can explore. In this section, we will discuss two areas of study: Further Mathematics Insights and Exploring Pure Mathematics.

Further Mathematics Insights

Further Mathematics is an extension of H2 Mathematics that covers topics such as complex numbers, vectors, and permutations. It is a challenging subject that requires a strong foundation in H2 Mathematics. However, if you are up for the challenge, studying Further Mathematics can give you a deeper understanding of the subject and open up new opportunities for you in the future.

One of the key insights that you can gain from studying Further Mathematics is a better understanding of complex numbers. Complex numbers are an extension of the real numbers that include an imaginary unit, denoted by i. They are used to represent quantities that cannot be expressed as real numbers, such as the square root of a negative number. If you are interested in exploring the properties of complex numbers, you can start by learning about their algebraic and geometric representations.

Exploring Pure Mathematics

Pure Mathematics is a branch of mathematics that deals with abstract concepts such as numbers, sets, and functions. It is a fascinating area of study that can lead to new discoveries and insights. If you are interested in exploring Pure Mathematics, there are several topics that you can focus on.

One of the key topics in Pure Mathematics is correlation. Correlation is a statistical measure that describes the relationship between two variables. It is commonly used in fields such as finance, economics, and psychology to analyze data and make predictions. If you are interested in learning more about correlation, you can start by studying its properties and applications.

Another key topic in Pure Mathematics is vectors. Vectors are quantities that have both magnitude and direction. They are used to represent physical quantities such as velocity, acceleration, and force. If you are interested in exploring the properties of vectors, you can start by learning about their algebraic and geometric representations.

In conclusion, if you are a keen learner who wants to challenge yourself beyond the H2 Math curriculum, there are several advanced topics that you can explore. By studying Further Mathematics and Pure Mathematics, you can gain a deeper understanding of the subject and open up new opportunities for yourself in the future.

Frequently Asked Questions

How can I ace my JC Math with the top tuition services?

If you’re looking to excel in JC Math, enrolling in a top tuition service is a great way to get started. Look for a tuition service that offers experienced tutors, comprehensive study materials, and a personalised approach to learning. With the right tuition service, you’ll be able to master even the most challenging topics in H2 Math.

What’s the secret to scoring an ‘A’ grade in H2 Math?

Scoring an ‘A’ grade in H2 Math requires practice, dedication, and a deep understanding of the subject matter. With the right tuition service, you can get all the support you need to achieve your academic goals. Make sure to choose a tuition service that offers personalised attention, engaging lessons, and plenty of opportunities for practice and feedback.

Where can I find the most engaging 1-to-1 Math tuition?

If you’re looking for engaging 1-to-1 Math tuition, consider working with a private tutor or enrolling in a tuition service that offers personalised attention. Look for a tutor or tuition service that has a track record of success and offers a range of resources and materials to support your learning.

Which online platforms offer the best experience for Maths tuition?

There are many online platforms that offer Maths tuition, but not all of them are created equal. Look for a platform that offers engaging, interactive lessons, experienced tutors, and a range of resources and materials to support your learning. Some of the top online platforms for Maths tuition include Khan Academy, Brilliant, and Coursera.

Can you believe the amazing results from Odyssey Math tuition?

Odyssey Math tuition is a popular choice for students who are looking to excel in H2 Math. With experienced tutors, engaging lessons, and a personalised approach to learning, Odyssey Math tuition has helped many students achieve their academic goals. While results may vary, many students have reported significant improvements in their grades and overall understanding of the subject matter.

What are the costs associated with premier H2 Math tuition programmes?

The costs associated with premier H2 Math tuition programmes can vary depending on the service provider and the level of support you require. Generally, you can expect to pay anywhere from £30 to £100 per hour for H2 Math tuition. While this may seem like a significant investment, the benefits of working with a top tuition service can be well worth the cost.

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Why Odyssey Math?

Why send your child in the first place if it doesn’t solve his or her problem? We assure that if our students follow our guidance , do the assignments given and at the same time ask questions we can assure that they will improve their grades in H2 Mathematics. We are always there for the students when they need it and this is exactly what they need to improve their results. Mr Tan seeks to instill confidence in students, give them encouragement and motivation and at the same time be very genuine towards the development of the students both academically and holistically. Students who put in the hard work, follow his guidance and make use of his resources will be able to improve in mathematics.

Experienced and Qualified Math Tutor

Mr Tan has 11 years of math coaching experience with a math degree (distinction) from NUS in 2018. Ever since he finished his national service, he started to provide 1 to 1 math tuition to students. Whether is it students who failed mathematics or students who are already good in mathematics, Mr Tan has handled all of them. He understands students’ frustrations when it comes to learning mathematics. Sometimes, lessons in school can be too quick for students to handle. Mr Tan will be able to manage the pace of the lesson and explain math concepts simply so that his students can learn math better. 

Our H2 Math Tuition Structure

Our H2 Math Tuition structure is broken down into 4 phases below. Students will gain conceptual understanding of topics, thereafter practice in class and will be assigned homework to be reviewed in subsequent lessons. Topical tests will be given to test their aptitude in the topics learnt after which we will review with them and resolve misconceptions and weaknesses in concepts.

H2 Math Topics Covered

  • Basic Vectors

  • Vector Representation in 3D

  • Vector Calculations in 3D

  • Direction Cosines

  • Collinearity

  • Ratio Theorem

  • Coplanar Vectors

  • Scalar product of 2 vectors

  • Scalar product of 2 vectors and angles

  • Angle specified with 3 points

  • Perpendicular Vectors

  • Projection Vectors

  • Cross Product of 2 Vectors

  • Cross Product of Vectors For Perpendicular Distance

  • Geometric Interpretation

  • Vector Equation of Lines

  • Vector Equation of Planes

  • Parametric Equation of Planes

  • Standard Vector Equation of Planes

  • Foot of Perpendicular to a Line and Reflection

  • Distance From a Point to a Line

  • Foot of Perpendicular to a Plane and Reflection

  • Distance From a Point to a Plane

  • Angle between 2 Lines

  • Intersection of 2 Lines in 3D

  • Perpendicular Distance Between 2 Parallel Lines

  • Angle between a line and a plane

  • Intersection of a line and a plane

  • Line lies on a plane

  • Length of projection of line onto a plane

  • Angle between 2 planes

  • Intersection between 2 planes

  • Perpendicular Distance Between 2 Parallel Planes

  • Domain and Range

  • Vertical Line Test

  • Periodic Functions

  • Composite Functions

  • Inverse Functions

  • Solving Point of Intersection of Function and its Inverse

  • Self-Inverse Functions

  • Graph of Ellipses

  • Graph of Hyperbolas

  • Graph of Rational Functions

  • Graph of Quadratic over Linear

  • Axis of Symmetry

  • Asymptotes

  • Transformations

  • System of Linear Equations

  • Solving Equations

  • Properties of Inequalities

  • Modulus Function

  • Representing Intervals

  • Solving Inequalities

  • Sequence

  • Series

  • Method of Difference

  • Standard Series

  • Convergence and Sum to Infinity

  • Arithmetic Progression and Series

  • Geometric Progression and Series

  • Complex Numbers

  • Four Operations of Complex Numbers

  • Conjugate of a Complex Number

  • Equality of Complex Numbers

  • Complex Number Equations

  • Simultaneous Equations involving Complex Numbers

  • Conjugate roots of a Polynomial Equation with Real Coefficients

  • Argand Diagram

  • Polar Form

  • Argument of z

  • Euler’s Formula

  • Multiplication and Division of two complex numbers

  • Conjugate in Polar and Exponential Form

  • Properties of Modulus and Argument

  • Differentiation from First Principles

  • Rules of Differentiation

  • Derivatives of Common Functions

  • Interpretation of First Derivative

  • Interpretation of Second Derivative

  • Nature of Stationary Points

  • Graph of Gradient Function

  • Implicit Differentiation

  • Parametric Equations

  • Parametric Differentiation

  • Tangents and Normals

  • Maxima and Minima

  • Connected Rates of Change

  • Maclaurin Series

  • Standard Series Expansion 1

  • Standard Series Expansion 2

  • Standard Series Expansion 3

  • Standard Series Expansion 4

  • Standard Series Expansion 5

  • Approximation using Maclaurin Series

  • Small Angle Approximation

  • Maclaurin Series for other functions

  • Basic Rules of Integration

  • Why is there a Modulus for ln

  • Basic Form and General Form

  • Identities and Double Angle Formula

  • Factor Formula

  • Definite Integrals

  • Integration using Substitution

  • Integration by Parts

  • Definite Integral as Limit of Summation

  • Definite Integral in Finding area under curve

  • Definite Integral in finding Volume of Revolution

  • Differential Equations

  • Solving Differential Equations

  • Solving Differential Equations by Substitution

  • Formulation of Differential Equations

  • The Addition Principle

  • The Multiplication Principle

  • Combinations

  • Permutations

  • Circular Permutations

  • Practice Questions

  • Random Experiments

  • Properties of Sets

  • Probability

  • Probability Distribution

  • Mutually Exclusive Events

  • Conditional Probability

  • Independent Events

  • Probability Tree

  • Probability Examples

  • Random Variables

  • Discrete Random Variables

  • Expectation of Discrete Random Variables

  • Functions of Discrete Random Variables

  • Variance and Standard Deviation of Discrete Random Variable

  • Linear Combination of Independent Random Variables

  • Binomial Experiment

  • Binomial Random Variable

  • Binomial Distribution

  • Continuous Random Variable

  • Normal Distribution

  • Normal Curve and its Properties

  • Normal Probabilities and GC Use

  • Inverse Normal and GC Use

  • Standard Normal Distribution

  • Properties of Expectation and Variance of Random Variables

  • Properties of Independent Normal Random Variables

  • Random Variable 2X vs X1 + X2

  • Normal Distribution Practice Questions

  • Population and Sample

  • Random and non-random sampling

  • Population mean and population variance

  • Random sample of size n and sample statistics

  • Estimates of Population Parameters

  • Use of GC to find unbiased estimates

  • Sample Mean as a Random Variable

  • The Distribution of the Sample Mean

  • Sampling from a Normal Population

  • Central Limit Theorem

  • Null and Alternative Hypothesis

  • Level of Significance

  • Test Statistics

  • Critical Value and Critical Region

  • p value

  • z value

  • Hypothesis Tests on Population Mean

  • Hypothesis Testing Practice Questions

  • Relationship between variables

  • Scatter Diagram

  • Interpreting Scatter Diagram

  • Product Moment Correlation Coefficient

  • Product Moment Correlation Coefficient Properties

  • Correlation does not imply Causation

  • Linear Regression

  • Application and Interpretation

  • Linearization of Data

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