Mathematics Tutorials
- Change of Subject of a Formula: Steps and Worked Examples
- Factorisation and Algebraic Fractions: Methods and Examples
- Linear Equations: Solving Methods and Word Problems
- Approximation: Significant Figures, Decimal Places and Errors
- Binary Operations: Closure, Identity and Inverse Elements
- Binomial Theorem: Pascal's Triangle, General Term and Examples
- Applications of Differentiation: Maxima, Minima and Rates
- Applications of Integration: Areas, Volumes and Mean Values
- Curve Sketching: Turning Points, Roots and Asymptotes
- Derivatives of Trigonometric Functions, eˣ and ln x
- Differentiation: First Principles, Rules and Examples (MTH 101)
- Improper Integrals: Convergence, p-Integrals and Examples
- Integration by Parts: Formula, LIATE Rule and Examples
- Integration by Substitution: Method and Worked Examples
- Integration: Rules, Definite Integrals and Area (MTH 101)
- Kinematics Using Calculus: Velocity, Acceleration, Distance
- Lagrange Multipliers: Constrained Optimisation Explained
- Limits in Calculus: Methods and Worked Examples (MTH 101)
- Maclaurin and Taylor Series: Expansions and Approximations
- Partial Differentiation: Partial Derivatives and Applications
- Commercial Arithmetic: Profit, Loss, Interest and Discount
- Complex Numbers: Operations, Argand Diagram and De Moivre
- Coordinate Geometry of Straight Lines: Formulas and Examples
- Equation of a Circle: Centre, Radius, Tangents and Examples
- First-Order Differential Equations: Methods and Examples
- Second-Order Differential Equations: Auxiliary Equation Method
- Exponential and Logarithmic Functions: e, ln and Growth
- Functions: Domain, Range, Composite and Inverse Functions
- Modulus Function: Absolute Value Equations and Inequalities
- Angles and Polygons: Parallel Lines, Interior and Exterior Angles
- Area of a Triangle: ½ab sin C, Heron's Formula and Coordinates
- Circle Theorems: Angles, Tangents and Cyclic Quadrilaterals
- Geometric Transformations: Translation, Reflection, Rotation
- Pythagoras' Theorem: Proof, Triples and Applications
- Similar and Congruent Triangles: Rules, Ratios and Examples
- Indices and Logarithms: Laws and WAEC Solved Questions
- Inequalities and Linear Programming: WAEC Worked Examples
- Quadratic Inequalities: Sketch and Sign Table Methods
- Latitude and Longitude: Distances on the Earth's Surface
- Logic and Truth Tables: Propositions, Implication, Validity
- Mathematical Induction: Proofs with Worked Examples
- Matrices and Determinants: Inverse and Cramer's Rule (MTH 101)
- Rank of a Matrix and Consistency of Linear Equations
- Arcs and Sectors: Arc Length, Sector Area and Segments
- Mensuration: Area and Volume Formulas with WAEC Examples
- Modular Arithmetic: Clock Arithmetic and Congruences
- BODMAS Rule: Order of Operations with Worked Examples
- Divisibility Rules for 2 to 12 and Testing for Prime Numbers
- HCF and LCM: Prime Factorisation and Word Problems
- Rational and Irrational Numbers: Recurring Decimals to Fractions
- Number Bases: Binary, Octal, Hex and Conversions
- Euler's Method and Runge–Kutta (RK4) with Worked Examples
- Numerical Methods: Bisection, Newton–Raphson, Trapezium Rule
- Partial Fractions: Linear, Repeated and Quadratic Factors
- Percentages: Increase, Decrease and Reverse Percentages
- Permutations and Combinations: Formulas and WAEC Examples
- Remainder and Factor Theorems: Factorising Cubic Polynomials
- Binomial Distribution: Formula, Mean, Variance and Examples
- Conditional Probability and Bayes' Theorem with Examples
- Normal Distribution: z-Scores, Tables and Worked Examples
- Probability: Rules, Dice, Cards and WAEC Worked Examples
- Graphs of Quadratic Functions: Vertex, Roots and Max/Min
- Quadratic Equations: 3 Methods with WAEC Worked Examples
- Ratio and Proportion: Sharing, Rates and Worked Examples
- Sequences and Series: AP and GP Formulas with WAEC Examples
- Relations and Equivalence Relations: Properties and Classes
- Sets and Venn Diagrams: Notation, Formulas and Word Problems
- Simultaneous Equations: Elimination, Substitution, Word Problems
- Standard Form: Scientific Notation with Worked Examples
- Correlation and Regression: Pearson, Spearman and Least Squares
- Cumulative Frequency, Quartiles and the Ogive (WAEC)
- Data Presentation: Bar Charts, Pie Charts and Histograms
- Mean, Median and Mode, Range and Standard Deviation (WAEC)
- Surds: Simplifying Surds and Rationalising the Denominator
- Angles of Elevation and Depression: WAEC Worked Examples
- Inverse Trigonometric Functions: arcsin, arccos and arctan
- Sine and Cosine Rules: Solving Triangles and Bearings
- Trigonometric Identities: Formulas, Proofs and Solved Equations
- Trigonometric Ratios: SOH CAH TOA, Radians and Trig Graphs
- Variation: Direct, Inverse, Joint and Partial with Examples
- Gradient, Divergence and Curl: Vector Calculus Explained
- Line Integrals and Green's Theorem with Worked Examples
- Vectors in Mathematics: Magnitude, Direction and Dot Product