Terminale Mathematics — Sociology and Economics (SE)

Terminale Mathematics — Sociology and Economics (SE)

Eight lessons in bivariate statistics, rational functions, differentiation, logarithmic/exponential/power models, economic functions and combinations. All monetary units and datasets are fictional. This is a bounded written self-paced course, using the 2025–26 CRDP reference year. Official 2026–27 alignment has not been verified. It does not replace the complete school programme or establish official examination readiness.

Who this is for

• English-reading Terminale SE learners revising the stated scope
• Independent learners willing to attempt questions before opening keys

Before you begin

• Confident arithmetic with fractions and signed numbers
• Solving linear and quadratic equations; basic function notation
• A calculator for optional decimal checks; paper for working

Outcomes

• Describe paired observations with means, covariance and correlation
• Calculate a simple least-squares fit and explain its limits
• Analyse rational cost models and optimise a stated profit function
• Solve logarithmic and exponential equations with valid domains
• Interpret equilibrium and signed price elasticity in toy models
• Count unordered selections with stated constraints

Included

• Written lessons with original worked examples
• Practice and explained answer keys
• Topic checks and an original capstone
• 12-question practice quiz
• Compact revision/reference pack

Scope boundaries

• Remaining annual-school units: numerical sequences (including arithmetic and geometric sequences); conditional and total probability; simple interest; compound-interest finance chapters
• Not developed fully here: exhaustive regression methods, parameterised rational-function studies and all possible economic applications
• Variation tables and graphs of ln(u) are not taught; the cited final selection restricts the required logarithm graph to ln(x)
• Real pricing, tax, investment or other financial recommendations
• Complete official programme or past-paper collection
• Video, live coaching, official grading, certification or accreditation

Course outline

1. Evidence from paired observations
   • Paired data, mean point and covariance
   • Correlation and a fitted straight line
2. Costs and change
   • Rational functions and average cost
   • Derivatives, marginal quantities and profit
3. Logarithmic and multiplicative models
   • Logarithms and the graph of ln x
   • Exponential and power models
4. Economic interpretation and counting
   • Demand, supply and elasticity
   • Combinations for teams and samples

The revision pack is a compact companion. Read the full explanations, complete the practice, and then use the pack for retrieval practice. All datasets and scenarios are invented for learning.