Quiz 2
BSMA1001 · Foundational · May 2026

Mathematics I

11 assignments19 notesLectures
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Pattern atlas

E / M / H dissections with step reveal

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Mathematics I

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FTC accumulation

Signed area and accumulation flow

FTC accumulation

Concept lab / no answer key

Move the rule before you manipulate the symbols.

Function, unit-circle, logarithm, and exponential models pair a prediction with a visual consequence—use this to build intuition before a problem set.

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Visual Labs — Interactive Math Visualizers

Live interactive tools for the major Maths I patterns. Drag points, move sliders, and rehearse calculus structure.

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Polynomial Analysis & Rational Functions

Deep dive into patterns and axioms.

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flashcards

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Week 10: Graphs, Trees, and Matrices

Deep dive into patterns and axioms.

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Week 11: Graph Constraints and Counting

Deep dive into patterns and axioms.

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Week 12: End-Term Mock and Final Review

Deep dive into patterns and axioms.

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Week 9: Signed Area and Optimization

Deep dive into patterns and axioms.

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Mathematics I Jan 2026 - Comprehensive Notes

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later-ig

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Mathematics I Exam Rescue Sheet

Deep dive into patterns and axioms.

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Mathematics I Queue Status

Deep dive into patterns and axioms.

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Week 1: Functions and Sets

Sets, relations, functions, and the core proof patterns around them

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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.

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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.

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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.

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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.

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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.

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Maths I — Week 7: Advanced Integration

Mastering complex integration techniques: Substitution, Integration by Parts, and Partial Fraction decomposition.

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Maths I — Week 8: Linear Algebra

Mastering matrix operations, determinants, inverses, and solving linear systems via matrix algebra.

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