Maths Tuition In Singapore:
SG's most qualified academic experts
MOE Teachers, Graduated Tutors (Bachelor's, Master's, PhD) with 2 to over 30 years' experience of helping their students achieve 10 to 30 more marks within 4 months
39,000 Qualified Tuition Teachers
Singapore's best tutors have joined our team because every day since 2011, we have over 100 good tuition assignments for them to choose from daily.
Parents trust us because we always place our students' grades at the heart of everything that we do.
Effective Learning is the gold standard tuition agency that our competitors respect and admire.
Your Turn to Succeed
Within 6 hours, we will show you profiles of between 4 to 10 experienced tuition teachers.
They have been carefully screened and shortlisted, and their profiles match your requirements.
Each of these tutors have earned good reviews from parents and students.
They have proven abilities: to boost grades, to explain clearly, are committed, and are professional.
Their university degree is the same as the subjects they are teaching, so they are very familiar with the information you need to learn in order to score an A.
Tuition Rates That Suit Your Budget
We guarantee: competent tuition teachers with track records of improving grades, hardworking tuition coordinators, no agency fees. Private tutor rates range from $30/hr (university undergraduates with at least 2 years of successful home tuition achievements), to $110/hr (MOE Head of Department, PhD tutors with over 15 years' experience).

Charlotte Koh, PhD, Education (Johns Hopkins University)
Head, Education Methodology, Effective Learning Singapore
Gain 10 to 30 Marks.
Fast.
Primary 1 home tuition
Primary 2 home tuition
Primary 3 home tuition
Primary 4 home tuition
Primary 5 home tuition
Primary 6 home tuition
PSLE home tuition
Secondary 1 home tuition
Secondary 2 home tuition
Secondary 3 home tuition
Secondary 4 home tuition
GCE O Level home tuition
Junior College JC1 home tuition
Junior College JC2 home tuition
GCE A Level home tuition
Integrated Programme home tuition
International Baccalaureate home tuition / IB tuition Singapore
Polytechnic modules home tuition
University modules home tuition
Face-to-face/In-person home tuition
Online tuition / Online tutor in Singapore
Hire The Most Successful Maths Tuition Teachers
Best home tuition in Singapore
Private Tutors In Singapore: Please ensure that you have registered at:Â https://effective-learning.org/latest-tuition-jobs-north-central-west-east/
We are not able to accept any tutor registrations through this Hire Tutors Form. Thank you.Â
Students' reviews and feedback












The most effective private tuition in Singapore
Our clients include MOE school principals and teachers.
And, we have the biggest tutor database of MOE current and ex-school teachers in Singapore.
For parents seeking tutors with a PhD or Master's from the world's best universities, our team of post-graduate tuition teachers is the largest in the tuition industry.
All of our tuition coordinators have at least a Bachelor's from NUS, NTU or SMU. We are able to quickly identify the home tutors who are most likely to successfully help you gain between 10 to 30 marks, fast.


How To Choose The Right Tutor And Tuition Agency
Experience level of the tutor – You may find certain tutors quote higher hourly tuition rates, and it’s generally true that “you get what you pay for”.Â
Often, the ability to improve their students’ grades, as well as the experience level of a tutor is linked to their rates. We can help you to find the optimum balance between an experienced tutor that is suitable for your child’s academic targets, and the most qualified tuition teacher that is a worthy investment!
Tuition teacher rates – Tuition rates vary according to the experience and academic achievement of the tuition teacher, as well as tutor availability.Â
Tutors who specialize in teaching graduating students preparing for their PSLE, GCE O Levels and GCE A Levels tend to charge slightly higher because of the intensive and specialized revision of content and exam preparation that is required. Â
Familiarity with syllabus – The Singapore MOE syllabus continually goes through major or minor changes. It is important that the tuition teacher is up to date with the current marking schemes and exam requirements, as well as the latest content in the revised syllabus.
The quality of tuition agency’s database – An excellent private home tuition agency would be familiar with the track records and the past performance of their tutors, in order to be able to recommend parents the most suitable tuition teacher to meet their needs.
Size of the tutor agent’s database – It would be wise to select a tuition agency with a large number of qualified tuition teachers in their database as this would allow their tuition coordinators to find the best match for your requirements.Â
Choose an agency that has between 20,000 to 60,000 tuition teachers in their team.
Established tuition agencies are more likely to have a better pool of tutors as they have been present in the market for a longer time and have managed to build up a substantial number of credible and responsible tutors who had registered in their system. Experienced tuition teachers tend to trust only reputable and dependable tuition agencies.
Private Tuition In Singapore Rate
You may find certain tutors quote higher hourly rates, and it's generally true that “you get what you pay for”.Â
Often, the ability to improve their students' grades, as well as the experience level of a tutor is linked to their rates. We can help you to find the optimum balance between an experienced tutor that is suitable for your child's academic targets, and the most qualified tuition teacher that is a worthy investment!
Home tuition rates vary according to the experience and academic achievement of the tuition teacher, as well as tutor availability.Â
Tutors who specialize in teaching graduating students preparing for their PSLE, GCE O Levels and GCE A Levels tend to charge slightly higher because of the intensive and specialized revision of content and exam preparation that is required. Â
Qualified and experienced Maths tuition teachers
Mr GBH has 17 years of Maths tuition experience. He is NIE-trained and taught at MOE schools for 12 years. Mr GBH has a Bachelor’s in Applied Mathematics from NUS (Honours). His Maths tuition students attended Cedar Primary School, Fuhua Primary School, Nanyang Primary School, Ai Tong School, De La Salle School, and St Anthony’s Canossian Primary School.
Mr JE has 9 years of Maths tuition experience. He has a Bachelor’s in Mathematics from NUS (2nd Upper Class Honours). Mr JE was a relief teacher at one of Singapore’s top schools for 2 years. His Maths tuition students attended Raffles Girls’ Primary School, Keming Primary School, Hua Yi Secondary School, Maris Stella High School, Jurong Pioneer Junior College, and National Junior College.
Ms KT has 8 years of Maths tuition experience. She has a PhD in Mathematics from the London School of Economics and a Bachelor’s in Mathematics from NUS (First Class Honours). Her Maths tuition students attended National Junior College, Raffles Institution, Victoria Junior College, Yishun Innova Junior College, Dunman High School, and Anglo-Chinese Junior College.
Ms RL has 11 years of Maths tuition experience. She is NIE-trained, and taught at leading MOE schools for 9 years. Ms RL has a Bachelor’s in Data Science and Artificial Intelligence from NTU (Honours). Her Maths tuition students attended Cedar Girls’ Secondary School Integrated Programme, Loyang View Secondary School, Anglo-Chinese School (Independent), Punggol Secondary School, Teck Whye Secondary School, and Victoria School.
Ms DA has 9 years of Maths tuition experience. She has a PhD in Mathematics from the University of Cambridge. Ms DA’s Bachelor’s in Mathematics was from NUS (First Class Honours). Ms DA was an MOE relief teacher for 3 years. Her Maths tuition students attended Pei Chun Public School, Maha Bodhi School, Catholic High School Integrated Programme, CHIJ Secondary (Toa Payoh), Eunoia Junior College, and Anglo-Chinese Junior College.
Mr OWY has 13 years of Maths tuition experience. He has a Bachelor’s Mathematical and Computer Sciences from NTU. Mr OWY taught at a tuition centre for 3 years. His Maths tuition students attended Dazhong Primary School, Henry Park Primary School, Jurongville Secondary School, Anglican High School, Jurong Pioneer Junior College, and River Valley High School.
Dependable Maths tuition teachers - delivering improved grades and higher marks quickly
Ms YHY has 10 years of Maths tuition experience. She is NIE-trained, and taught at top junior colleges for 9 years. Ms YHY has a Bachelor’s in Data Science & Analytics (2nd Upper Class Honours) from NUS. Her Maths tuition students attended St Andrew’s Junior College, Hwa Chong Institution, Anderson Serangoon Junior College, Dunman High School, Catholic Junior College, and River Valley High School.
Mr DJK has 7 years of Maths tuition experience. He has a Bachelor’s in Mathematics from NUS. Mr DJK taught at a tuition centre for 1 year. His Maths tuition students attended Nanyang Primary School, Keng Cheng School, Bukit Panjang Govt. High School, Bartley Secondary School, Catholic Junior College, and Raffles Institution.
Ms CLR has 15 years of Maths tuition experience. She has a Bachelor’s in Mathematical and Computer Sciences (Double Major) from NTU (Honours). Ms CLR was an MOE contract teacher for 3 years and had taught at tuition centres for 5 years. Ms CLR’s Maths tuition students attended Raffles Girls’ Primary School, Sembawang Primary School, Northland Secondary School, Hai Sing Catholic School, Jurong Pioneer Junior College, and Hwa Chong Institution.
Ms AJ has 11 years of Maths private tuition experience. She was the Head of Mathematics at a group of tuition centres where she taught for 7 years. Ms AJ has a Master’s in Applied Mathematics at Oxford University. Her Bachelor’s in Mathematical Sciences was from NTU (First Class Honours). Ms AJ’s private tuition students attended Beacon Primary School, Maha Bodhi School, Tanglin Secondary School, Dunman High School Integrated Programme, Anderson Serangoon Junior College, and Eunoia Junior College.
Ms SYC has 7 years of Maths private tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms SYC was an MOE contract teacher for 3 years. Her private tuition students attended North View Primary School, Pei Tong Primary School, Qifa Primary School, Bartley Secondary School, Kent Ridge Secondary School, and Nan Hua High School.
Ms GHL has 9 years of Maths private tuition experience. She is NIE-trained and taught at MOE schools for 5 years. Ms GHL has Bachelor’s in Mathematical Sciences with Minor in Finance from NTU. Ms GHL’s private tuition students attended Greenridge Secondary School, Montfort Secondary School, Admiralty Secondary School, Xinmin Secondary School, CHIJ St Joseph’s Convent, and St Andrew’s Secondary School.
Mr MN has 9 years of Maths tuition experience. He has a PhD in Financial Mathematics from the University of California, Berkeley. His Bachelor’s in Applied Mathematics was from NUS (First Class Honours). His Maths tuition students Victoria School Integrated Programme, NUS High School of Mathematics and Science, Nanyang Girls’ High School Integrated Programme, Methodist Girls’ School (Secondary) IB programme, CHIJ St Nicholas Girls’ School Integrated Programme, and Hwa Chong Institution.
Ms FS has 5 years of Maths tuition experience. She has a Bachelor’s in Mathematical Sciences and Economics (Double Major) from NTU. Ms FS was an MOE contract teacher for 1 year. Her Maths tuition students attended Canossa Catholic Primary School, Anglo-Chinese School (Junior), Yusof Ishak Secondary School, Fairfield Methodist School (Secondary), Nanyang Junior College, and Temasek Junior College.
Mr LA has 11 years of Maths tuition experience. He is NIE-trained, and taught at MOE schools for 6 years. He has a Bachelor’s in Quantitative Finance from NUS (2nd Upper Class Honours). Mr LA’s Maths tuition students attended Corporation Primary School, CHIJ Our Lady of Good Counsel Primary, Hong Wen School, Methodist Girls’ School (Primary), Singapore Chinese Girls’ Primary School, and St Gabriel’s Primary School.
Mr TFE has 8 years of Maths tuition experience. He has a Bachelor’s in Mathematics from NUS (Honours). Mr TFE was an MOE contract teacher for 1 year and he taught at tuition centres for 4 years. Mr TFE’s Maths tuition students attended West Spring Primary School, Haig Girls’ School, Guangyang Secondary School, Nan Hua High School, Jurong Pioneer Junior College, and Yishun Innova Junior College.
Ms MH has 6 years of Maths tuition experience. She has a Bachelor’s in Mathematics from NUS. Ms MH’s Maths tuition students attended Anglo-Chinese School (Primary), Red Swastika School, St Margaret’s Primary School, Beatty Secondary School, Jurong West Secondary School, and Tanjong Katong Girls’ School.
Ms WSL has 12 years of Maths tuition experience. She has a Bachelor’s in Mathematical Sciences from NTU (Honours). Ms WSL taught at a tuition centre for 3 years. Her Maths tuition students attended Yishun Primary School, Fairfield Methodist School (Primary), Bukit Merah Secondary School, Commonwealth Secondary School, Hwa Chong Institution, and Raffles Institution.
Mr TDJ has 10 years of Maths tuition experience. He has a Master’s in Applied Mathematics from Cornell University. His Bachelor’s in Computer Science & Mathematics was from NUS (First Class Honours). Mr TDJ was a contract teacher at one of Singapore’s top junior colleges for 2 years. His Maths tuition students attended Nanyang Junior College, Victoria Junior College, Raffles Institution, Eunoia Junior College, Anderson Serangoon Junior College, and Anglo-Chinese Junior College.
Mr WWH has 9 years of Maths tuition experience. He has a Bachelor’s in Mathematics from NUS. Mr WWH taught at a tuition centre for 3 years. His Maths tuition students attended Northoaks Primary School, Pei Tong Primary School, Bendemeer Secondary School, Crescent Girls’ School, National Junior College, and Yishun Innova Junior College.
Ms KS has 5 years of Maths tuition experience. She has a Bachelor’s in Mathematical Sciences and Economics (Double Major) from NTU (2nd Upper Class Honours). Ms KS’s Maths tuition students attended Singapore Chinese Girls’ Secondary School Integrated Programme, Raffles Girls’ School (Secondary) Integrated Programme, St Patrick’s School, Bowen Secondary School, Eunoia Junior College, and River Valley High School.
Ms HJN has 11 years of Maths tuition experience. She has a Bachelor’s in Mathematics from NUS (First Class Honours). Ms HJN wrote the Math curriculum for primary and secondary school levels at a leading group of tuition centres. Ms HJN’s Maths tuition students attended White Sands Primary School, St Andrew’s Junior School, St Stephen’s School, Chua Chu Kang Secondary School, Methodist Girls’ School (Secondary), and St Andrew’s Secondary School.
Mr PHM has 15 years of Maths tuition experience. He has a Bachelor’s in Mathematical Sciences from NTU. Mr PHM’s Maths tuition students attended Lianhua Primary School, Innova Primary School, River Valley Primary School, Yuan Ching Secondary School, CHIJ St Theresa’s Convent, and St Hilda’s Secondary School.
Ms AB has 8 years of Maths tuition experience. She has a PhD in Statistics from Stanford University. Her Bachelor’s in Applied Mathematics was from NUS (First Class Honours). Ms AB’s Maths tuition students attended Anglo-Chinese School (Independent), CHIJ St Nicholas Girls’ School Integrated Programme, NUS High School of Mathematics and Science, Victoria Junior College, Hwa Chong Institution, and National Junior College.
Mr LKT has 12 years of Maths tuition experience. He is NIE-trained, and taught at MOE schools for 5 years. Mr LKT has a Bachelor’s in Applied Mathematics from NUS (Honours). Mr LKT’s Maths tuition students attended St Joseph’s Institution, Holy Innocents’ High School, Geylang Methodist School (Secondary), Yusof Ishak Secondary School, Woodlands Ring Secondary School, and Kuo Chuan Presbyterian Secondary School.
Mr BJR has 10 years of Maths tuition experience. He has a Bachelor’s in Computer Science & Applied Mathematics from NUS (Honours). His Maths tuition students attended Oasis Primary School, Jing Shan Primary School, Cedar Girls’ Secondary School, Bowen Secondary School, Catholic Junior College, and Nanyang Junior College.
Ms CHM has 8 years of Maths tuition experience. She has a Bachelor’s in Mathematical and Computer Sciences (Double Major) from NTU. Ms CHM was an MOE contract teacher for 2 years. Her Maths tuition students attended Paya Lebar Methodist Girls’ School (Primary), St Andrew’s Junior School, Hillgrove Secondary School, Meridian Secondary School, Anglo-Chinese Junior College, River Valley High School.
Ms LTE has 14 years of Maths tuition experience. She is NIE-trained, and taught at MOE schools for 8 years. Ms LTE has a Bachelor’s in Quantitative Finance from NUS (Honours). Ms LTE’s Maths tuition students attended Methodist Girls’ School (Primary), Tampines North Primary School, Telok Kurau Primary School, Dunearn Secondary School, Greenridge Secondary School, and Naval Base Secondary School.
Mr SRH has 10 years of Maths tuition experience. He has a Master’s in Data Science and Machine Learning from NUS. His Bachelor’s in Mathematics was from NUS (2nd Upper Class Honours). Mr SRH’s Maths tuition students attended Palm View Primary School, Rosyth School, Temasek Primary School, Deyi Secondary School, Fuchun Secondary School, and Dunman High School Integrated Programme.
Mr CYY has 12 years of Maths tuition experience. He has a Bachelor’s in Mathematics from NUS (2nd Upper Class Honours). He was an MOE contract teacher for 2 years, and taught at a leading tuition centre for 5 years. Mr CYY’s Maths tuition students attended Hougang Secondary School, East Spring Secondary School, Nanyang Girls’ High School Integrated Programme, Jurong Pioneer Junior College, Temasek Junior College, and Dunman High School.
Ms LYJ has 10 years of Maths private tuition experience. She has a Bachelor’s in Physics and Mathematical Sciences (Double Major) from NTU. Ms LYJ taught at a leading tuition centre for 5 years. Her private tuition students attended Raffles Girls’ School (Secondary) Integrated Programme, NUS High School of Mathematics and Science, CHIJ St Nicholas Girls’ School Integrated Programme, Hwa Chong Institution, St Andrew’s Junior College, and Eunoia Junior College.
Ms EHR has 14 years of Maths private tuition experience. She has a Bachelor’s in Mathematics from NUS (First Class Honours). Ms EHR was a contract teacher at a top MOE school for 2 years. Her private tuition students attended Zhangde Primary School, Catholic High School – Primary, Teck Whye Secondary School, Maris Stella High School, Nanyang Junior College, and St Joseph’s Institution.
Mr MNJ has 11 years of Maths private tuition experience. He has a Bachelor’s in Applied Mathematics from NUS (First Class Honours). Mr MNJ was the Head of Mathematics at the group of tuition centres where he taught for 9 years. Mr MNJ’s private tuition students attended Nanyang Primary School, Methodist Girls’ School (Primary), St Andrew’s Secondary School, Singapore Chinese Girls’ Secondary School, Temasek Junior College, and Raffles Institution.
Mr BDR has 5 years of Maths private tuition experience. He has a Master’s in Applied Mathematics from Princeton University. Mr BDR’s Bachelor’s in Mathematical Sciences was from NTU (First Class Honours). Mr BDR’s private tuition students attended St Anthony’s Canossian Secondary School, Nan Chiau High School, Dunman High School, Anderson Serangoon Junior College, Hwa Chong Institution, and River Valley High School.
Ms SHT has 10 years of Maths private tuition experience. She is NIE-trained, and taught at MOE schools for 9 years. Ms SHT has a Bachelor’s in Quantitative Finance from NUS (2nd Upper Class Honours). Ms SHT’s private tuition students attended CHIJ St Joseph’s Convent, Anglo-Chinese School (Barker Road), Jurong West Secondary School, Changkat Changi Secondary School, Boon Lay Secondary School, and Hwa Chong Institution Integrated Programme.
Ms YJE has 9 years of Maths private tuition experience. She has a Master’s in Statistics from the University of Michigan. Ms YJE’s Bachelor’s in Mathematics was from NUS (First Class Honours). Ms YJE taught at a leading tuition centre for 6 years. Her private tuition students attended Singapore Chinese Girls’ Primary School, Red Swastika School, River Valley High School Integrated Programme, Catholic High School Integrated Programme, St Andrew’s Junior College, and Raffles Institution.
Mr HCM has 14 years of Maths private tuition experience. He has a Bachelor’s in Mathematics from NUS (2nd Upper Class Honours). Mr HCM’s private tuition students attended Si Ling Primary School, Raffles Girls’ Primary School, Northland Secondary School, Catholic High School Integrated Programme, Anglo-Chinese Junior College, and Raffles Institution.
Mr YJL has 10 years of Maths private tuition experience. He has a Bachelor’s in Mathematical Sciences from NTU. Mr YJL taught at a tuition centre for 3 years. His private tuition students attended Waterway Primary School, CHIJ Primary (Toa Payoh) Primary, Queenstown Secondary School, Presbyterian High School, Jurong Pioneer Junior College, and Victoria Junior College.
Ms SPW has 8 years of Maths private tuition experience. She is NIE-trained and taught at MOE schools for 7 years. Ms SPW has a Bachelor’s in Mathematical Sciences from NTU (Honours). Her private tuition students attended Gan Eng Seng Primary School, Xinghua Primary School, Anglo-Chinese School (Primary), Kong Hwa School, Ngee Ann Primary School, and St Joseph’s Institution Junior.
Important content and skills required by MOE for the Maths exams:
- Numbers and their operations
- Primes and prime factorisation
- Highest common factor (HCF) and lowest common multiple (LCM), squares, cubes, square roots and cube roots by prime factorisation
- Negative numbers, integers, rational numbers, real numbers, and their four operations
- Approximation and estimation
- Positive, negative, zero and fractional indices
Mathematics - How To Score Higher Marks
- Ratio and proportion
- Ratios involving rational numbers
- Writing a ratio in its simplest form
- Map scales (distance and area)
- Direct and inverse proportion
- Expressing one quantity as a percentage of another
- Comparing two quantities by percentage
- Percentages greater than 100%
- Recognising and representing patterns/relationships by finding an algebraic expression for the nth term
- Addition and subtraction of linear expressions
- Simplification of linear expressions
- Extract common factors
- Factorisation of linear expressions
- Expansion of the product of algebraic expressions
- Changing the subject of a formula
- Linear functions and quadratic functions
- Graphs of linear functions
- The gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
- Graphs of quadratic functions and their properties:
- Positive or negative coefficient of x2
- Problems involving the calculation of the sum and product (where appropriate) of two matrices
- Interpreting and analysing data from tables and graphs, including distance–time and speed–time graphs
- Interpreting the solution in the context of the problem
- Properties of triangles, special quadrilaterals and regular polygons (pentagon, hexagon, octagon and decagon), including symmetry properties
- Classifying special quadrilaterals on the basis of their properties
- Area of parallelogram and trapezium
- Perimeter and area of composite plane figures
- Volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone and sphere
- Volume and surface area of composite solids
- Arc length, sector area and area of a segment of a circle
- Radian measure of angle (including conversion between radians and degrees)
- Extension of the number system from real numbers to complex numbers
- Complex roots of quadratic equations
- Conjugate of a complex number
- Conjugate roots of a polynomial equation with real coefficients
- Representation of complex numbers in the Argand diagram
- Calculation of modulus (r) and argument (θ) of a complex number
- Multiplication and division of two complex numbers expressed in polar form
- Differentiation of simple functions defined implicitly or parametrically
- Derivation of the first few terms of the Maclaurin series
- Repeated differentiation
- Repeated implicit differentiation
- Definite integral as a limit of sum
- Definite integral as the area under a curve
- Area of a region bounded by a curve and lines parallel to the coordinate axes, between a curve and a line, or between two curves
- Area under a curve defined parametrically
- Discrete random variables, probability distributions, expectations and variances
- Binomial distribution B(n, p) as an example of a discrete probability distribution and use of B(n, p) as a probability model, including conditions under which the binomial distribution is a suitable model
- Mean and variance of binomial distribution (without proof)
- Â Normal distribution as an example of a continuous probability model and its mean and variance
- Increasing/decreasing a quantity by a given percentage
- Reverse percentages
- Average rate and average speed
- Conversion of units (e.g. km/h to m/s)
- Using letters to represent numbers
- Interpreting notations
- Evaluation of algebraic expressions and formulae
- Translation of simple real-world situations into algebraic expressions
- Finding the value of an unknown quantity in a given formula
- Factorisation of quadratic expressions
- Multiplication and division of simple algebraic fractions
- Addition and subtraction of algebraic fractions with linear or quadratic denominator
- Cartesian coordinates in two dimensions
- Graph of a set of ordered pairs as a representation of a relationship between two variables
- Maximum and minimum points
- Symmetry
- Sketching the graphs of quadratic functions
- Positive integers
- Estimation of the gradient of a curve by drawing a tangent
- Solving linear equations in one variable
- Solving simple fractional equations that can be reduced to linear equations
- Substitution and elimination methods
- Pythagoras’ theorem
- Determining whether a triangle is right-angled given the lengths of three sides
- Use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles
- Extending sine and cosine to obtuse angles
- Problems in two and three dimensions including those involving angles of elevation and depression and bearings
- Position vectors, displacement vectors and direction vectors
- Magnitude of a vector
- Collinearity
- Ratio theorem in geometrical applications
- Scalar and vector products in vectors
- Calculation of the magnitude of a vector and the angle between two vectors
- Vector and cartesian equations of lines and planes
- Foot of the perpendicular and distance from a point to a line or to a plane
- Determining the nature of the stationary points (local maximum and minimum points and points of inflexion) analytically, in simple cases, using the first derivative test or the second derivative test
- Locating maximum and minimum points using a graphing calculator
- Equations of tangents and normals to curves, including cases where the curve is defined implicitly or parametrically
- Local maxima and minima problems
- Connected rates of change problems
- Addition and multiplication principles for counting
- Concepts of permutation and combination
- Addition and multiplication of probabilities
- Use of tables of outcomes, Venn diagrams, tree diagrams, and permutations and combinations techniques to calculate probabilities
- Calculation of conditional probabilities in simple cases
- Probability model
- Standard normal distribution
- Symmetry of the normal curve and its properties
- Population, random and non-random samples
- Sample mean X as a random variable
- Distribution of sample means from a normal population
- Central Limit Theorem to treat sample means as having normal distribution when the sample size is sufficiently large