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College Mathematics

MATH 141 — Quantitative Reasoning & Problem Solving

A quantitative reasoning course emphasizing data, everyday contexts, mathematical reasoning, and evidence-based conclusions.

Course overview

A quantitative reasoning course emphasizing data, everyday contexts, mathematical reasoning, and evidence-based conclusions.

Math Aficionado uses this structure as a tutoring roadmap: lessons can be paced around the student's current level, school sequence, assignments, and assessment goals rather than forcing every student through the same timetable.

Units & topics

Unit 1

Quantities, Units & Data

  • Units and dimensional reasoning
  • Ratios, rates, and percentages
  • Reading tables and data displays
  • Estimation and reasonableness
  • Quantitative communication
Unit 2

Financial & Consumer Mathematics

  • Simple and compound interest
  • Loans and amortization
  • Credit and borrowing
  • Inflation and purchasing power
  • Personal financial models
Unit 3

Probability & Risk

  • Sample spaces and events
  • Basic probability rules
  • Conditional probability in context
  • Expected value
  • Risk and uncertainty
Unit 4

Statistics & Data Displays

  • Distributions and variability
  • Mean, median, and spread
  • Graphs and misleading displays
  • Correlation and association
  • Interpreting statistical claims
Unit 5

Models & Evidence

  • Choosing quantitative models
  • Predictions and extrapolation
  • Model assumptions
  • Residual/error thinking
  • Limitations and uncertainty
Unit 6

Quantitative Arguments & Applications

  • Evaluating claims with evidence
  • Multi-step contextual problems
  • Tables, graphs, equations, and words
  • Comparing competing models
  • Writing defensible quantitative conclusions

Curriculum reference: University of Wisconsin–Madison Guide / Department of Mathematics. The page is an independent tutoring roadmap and is not an official course page of the source institution.

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