maths1
Syllabus Mastery Registry
Targeting Quiz 1 Readiness (Weeks 1-4)
Flashcards
Spaced repetition engine for long-term retention of core concepts.
Visual Labs
Drag points, move sliders. Live interactive tools — coord geometry, linear equations, parabolas, set theory.
Mock Exam
Custom paper setter with timer and performance metrics.
OPPE Simulator
Python coding environment — not applicable for this course.
Visual Labs — Interactive Math Visualizers
Live interactive tools for Coord Geometry, Linear Equations, Quadratics and Set Theory. Drag points, move sliders.
Flashcards
Deep dive into patterns and axioms.
Maths I - Consolidated Practice Atlas
Deep dive into patterns and axioms.
Maths I — Crystal Clear Practice Drill
A curated self-test drill for Weeks 1–8. Solve without looking at notes first. Then grade yourself against the model answers below.
Week 1: Functions and Sets
Sets, relations, functions, and the core proof patterns around them
Maths I — Week 2: Polynomials, Quadratics, and Coordinate Geometry
Roots, discriminants, Vieta's formulas, and coordinate geometry including section formula, distance, slopes, and perpendicular bisectors.
Maths I — Week 3: Limits and Continuity
The gateway to calculus: understanding limits intuitively and rigorously, the three conditions for continuity, types of discontinuity, L'Hôpital's Rule, and the Intermediate Value Theorem.
Maths I — Week 4: Derivatives and Rules
Mastering the machinery of differentiation: first principles, product/quotient/chain rules, implicit differentiation, and the geometry of tangent lines.
Maths I — Week 5: Applications of Derivatives
Applying the derivative as a tool: monotonicity analysis, finding extrema using first and second derivative tests, and solving real-world optimization problems.
Maths I — Week 6: Integration Fundamentals
The reverse of differentiation: antiderivatives, the Fundamental Theorem of Calculus, definite integrals as signed area, and practical integration patterns.
Maths I — Week 7: Advanced Integration
Mastering complex integration techniques: Substitution, Integration by Parts, and Partial Fraction decomposition.
Maths I — Week 8: Linear Algebra
Mastering matrix operations, determinants, inverses, and solving linear systems via matrix algebra.
later ig
Deep dive into patterns and axioms.
Mathematics I — Week 1: Sets, Relations, and Functions
The foundational logic of data science: set operations, relation properties (Reflexivity, Symmetry, Transitivity), and function mappings (Injectivity, Surjectivity, Bijectivity).
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