Binary Operations & History
Topics: Historical context and definition of Binary Operations, Evaluating Binary Operations, Properties: Commutativity, Associativity, and Closure Identity Elements and Inverses. Duration: 4 Days/4 Hours. Course Fee: GHS150
Advanced Set Theory
Topics: Types of Sets and Set Notation,Operations on Sets (Union, Intersection, Complement), De Morgan’s Laws and Shading Venn Diagrams, Real-life Applications and 3-Set Problem Solving. Duration: 4 Days/4 Hours. Course Fee: GHS150
Binomial Expansion
Topics: Pascal’s Triangle construction and patterns, The Binomial Theorem Formula, Finding specific coefficients and the constant term, Practical applications of expansion in approximations. Duration: 4 Days/4 Hours. Course Fee: GHS150
Surds & Radical Equations
Topics: Basic properties and simplification of Surds, Addition, Subtraction, and Multiplication of Surds, Rationalizing the Denominator (including Conjugates), Solving Equations involving Surds (Radical Equations). Duration: 4 Days/4 Hours. Course Fee: GHS150
Indices & Exponential Equations
Topics: Laws of Indices (Negative and Fractional), Simplifying complex Indicial expressions, Solving Exponential Equations with the same base, Real-life Applications: Growth and Decay models. Duration: 4 Days/4 Hours. Course Fee: GHS150
Logarithmic Theory
Topics: Relationship between Indices and Logarithms, Laws of Logarithms, (Product, Quotient, Power), Change of Base Formula, Solving Logarithmic Equations. Duration: 4 Days/4Hours. Course Fee: GHS150
Series & Sequences (A.P. & G.P.)
Topics: Arithmetic Progression (A.P.), Geometric Progression (G.P.), Sum to Infinity for Convergent G.P, Arithmetic and Geometric Means in context. Duration: 4 Days/4 Hours. Course Fee: GHS150
Relations & Functions
Topics: Mapping, Relations, and Types of Functions, Function Notation and Evaluation, Real-life Applications: Temperature and Currency Conversions, Algebra of Functions (Addition and Subtraction). Duration: 4 Days/4 Hours. Course Fee: GHS150
Composite & Inverse Functions
Topics: Bijective, Injective, and Surjective Functions, Composite Functions, Finding the Inverse of a Function, Domain, Range, and Vertical Line Test. Duration: 4 Days/4 Hours. Course Fee: GHS150
Inequalities & Linear Programming
Topics: Solving Quadratic Inequalities, Systems of Linear Inequalities in two variables, Shading Feasible Regions on a graph, Optimization: Maximizing and Minimizing Objective Functions. Duration: 4 Days/4 Hours. Course Fee: GHS150
Quadratic Functions & Graphs
Topics: Sketching Parabolas and identifying the Vertex, Completing the Square Method, Transformations of Quadratic Graphs, Areas Enclosed by Graphs (Graphical Approach). Duration: 4 Days/4 Hours. Course Fee: GHS150
Quadratic Equations & Roots
Topics: The Quadratic Formula and the Discriminant, Nature of Roots (Real, Equal, Imaginary), Relationship between Roots and Coefficients, Modeling real-life projectiles using Quadratics. Duration: 4 Days/4 Hours. Course Fee: GHS150
Polynomial Theorems
Topics: Polynomial Addition, Subtraction, and Multiplication, Long Division vs. Synthetic Division, The Remainder Theorem, The Factor Theorem and solving Cubic Equations. Duration: 4 Days/4 Hours. Course Fee: GHS150
Rational Functions & Partial Fractions
Topics: Domain and Vertical Asymptotes of Rational Functions, Simplifying Rational Expressions, Decomposition into Partial Fractions (Linear factors), Partial Fractions with Irreducible Quadratic Denominators.
Duration: 4 Days/4 Hours. Course Fee: GHS150
Matrix Algebra
Topics: Order of Matrices and Types (Square, Identity, Null), Matrix Addition and Scalar Multiplication, Determinants and Inverses of 2×2 Matrices, Solving Simultaneous Equations using Cramer’s Rule/Inverses. Duration: 4 Days/4 Hours. Course Fee: GHS150
Coordinate Geometry I (The Line)
Topics: Distance between two points and Midpoint formula, Internal and External Division of a Line (Ratio), Gradient (Slope) and Intercepts, Various forms of the Equation of a Straight Line. Duration: 4 Days/4 Hours. Course Fee: GHS150
Coordinate Geometry II (Lines & Angles)
Topics: Parallel and Perpendicular Line conditions, Intersection of two or more Straight Lines, The angle between two intersecting lines, Perpendicular distance from a point to a line. Duration: 4 Days/4 Hours. Course Fee: GHS150
Vector Analysis
Topics: Magnitude and Direction of 2D Vectors, Position Vectors and Unit Vectors, Addition of Vectors: Triangle and Parallelogram Laws, The Scalar (Dot) Product and Perpendicularity. Duration: 4 Days/4 Hours. Course Fee: GHS150
Trigonometry
Topics: Sine, Cosine, and Tangent for all Quadrants, Radian Measure, Arc Length, and Sector Area, Special Angles and Quadrantal Angles, Applications: Angles of Elevation and Depression. Duration: 4 Days/4 Hours. Course Fee: GHS150
Calculus I (Limits & Continuity)
Topics: The Intuitive Concept of a Limit, Existence of Limits and One-sided Limits, Limits at Infinity and Indeterminate forms, Continuity of Functions at a point. Duration: 4 Days/4 Hours. Course Fee: GHS150
Calculus II (Differentiation)
Topics: Differentiation from First Principles, The Power Rule and Chain Rule, Equations of Tangents and Normals to a Curve, Stationary Points (Maxima, Minima, and Points of Inflexion). Duration: 4 Days/4 Hours. Course Fee: GHS150
Calculus III (Integration)
Topics: Integration as the Reverse of Differentiation, Indefinite Integrals of Polynomial Functions, Definite Integrals and the Fundamental Theorem of Calculus, Area under a curve and the Trapezium Rule. Duration: 4 Days/4 Hours. Course Fee: GHS150
Handling Data
Topics: Data Collection, Sampling, and Levels of Measurement, Frequency Distribution Tables for Grouped Data, Graphical representation: Histograms and Cumulative Frequency (Ogives), Measures of Central Tendency (Mean, Median, Mode) and Dispersion. Duration: 4 Days/4 Hours. Course Fee: GHS150
Counting Principles & Probability
Topics: The Fundamental Principle of Counting (Multiplication Rule), Permutations (Order matters), Combinations (Order doesn’t matter), Probability Theory: Mutually Exclusive and Independent Events. Duration: 4 Days/4 Hours. Course Fee: GHS150
