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Mathematics I — Quiz 2 weeks 1–8 prep
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Mathematics I — Quiz 2 weeks 1–8 prep
672 words
3 min read
2026-08-16
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Now · Week 1 — sets, number systems & functions {#week-1}
Mathematics I · Quiz 2 weeks 1–8
Part of the Quiz 2 prep system. Interactive patterns: Pattern atlas.
Week 1 — sets, number systems & functions {#week-1}
Focus: sets, logic, relations, function test
Objects → membership rules → relations → function test (vertical line)
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Membership checklist |
| Medium | Relation or function? |
| Hard | Counterexample vs proof |
Week 2 — coordinate system & straight lines {#week-2}
Focus: slope, line equations, parallel & perpendicular
Points → slope → line forms → parallel/perpendicular → applications
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Slope from two points |
| Medium | Line through point with condition |
| Hard | Geometry with lines |
Week 3 — quadratic functions {#week-3}
Focus: roots, vertex, discriminant, graph ↔ algebra
Standard form → factoring/roots → vertex → discriminant → graph features
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Factor simple quadratics |
| Medium | Vertex and axis |
| Hard | Parameter in discriminant |
Week 4 — algebra of polynomials {#week-4}
Focus: operations, factor theorem, multiplicity, end behaviour
Term structure → operations → division → factor theorem → graph from factors
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Evaluate and classify degree |
| Medium | Factor using theorem |
| Hard | Sketch from factorization |
Week 5 — functions & composition {#week-5}
Focus: V/H line tests, composition, inverse, exponentials
Function tests → composition order → inverse swap → exponential growth/decay
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Compose two formulas |
| Medium | Inverse of linear or simple rational |
| Hard | One-to-one and invertible |
Week 6 — logarithmic functions {#week-6}
Focus: log laws, log ↔ exp, solving log equations
Exp inverse → log definition → laws → solve → domain restrictions
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Evaluate simple logs |
| Medium | Expand or condense |
| Hard | Log equation with domain |
Week 7 — sequences, limits & continuity {#week-7}
Focus: sequence limits, one-sided limits, continuity
Sequence terms → limit intuition → one-sided limits → continuity at a point
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Sequence pattern |
| Medium | Limit by algebra |
| Hard | Continuity classification |
Week 8 — derivatives & critical points {#week-8}
Focus: derivative rules, tangents, extrema, L’Hôpital
Derivative as rate → rules → tangent line → critical points → optimization sketch
Pattern snapshot
| Level | Pattern |
|---|---|
| Easy | Power and sum rule |
| Medium | Tangent line problem |
| Hard | Critical points and shape |
Original retrieval lab
Pick any week you have not opened this week. Close the note, write its map line from memory, then reopen and fix one word.
Four retrieval checks
- Name one easy pattern family for week 1 and week 8.
- State one trap that appears in both weeks 3 and 6 for this course.
- Link one abstract pattern from the cross-course map to this course.
- Open the exam-eve sprint and complete the block for this course.
Linked References
Ref [1]
Mathematics I · Week 2 — Coordinate system & straight lines
Ref [2]
Mathematics I · Week 3 — Quadratic functions
Ref [3]
Mathematics I · Week 4 — Algebra of polynomials
Ref [4]
Mathematics I · Week 5 — Functions & composition
Ref [5]
Mathematics I · Week 6 — Logarithmic functions
Ref [6]
Mathematics I · Week 7 — Sequences, limits & continuity
Ref [7]