Terminale Mathematics — Life Sciences (LS)

Terminale Mathematics — Life Sciences (LS)

Selected function analysis, nontrigonometric integration and discrete probability, with fictional laboratory and population models. 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 LS 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

• Explain continuity and inverse calibration with domains
• Analyse rate, curvature and logarithmic/exponential change
• Calculate accumulation and area using selected integration methods
• Model selection, conditional probability and discrete random variables
• Write a mathematical report separating results from model assumptions

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: vector and triple scalar products; planes and lines in space; parallelism, orthogonality and spatial distances
• Not developed fully here: general rational-fraction integration and exhaustive parameter-based function studies
• Trigonometric and inverse-trigonometric integration are outside this course and excluded from the cited final-exam selection
• Real laboratory procedures, biological predictions and medical advice
• Complete official programme or past-paper collection
• Video, live coaching, official grading, certification or accreditation

Course outline

1. Response functions
   • Continuous response and threshold crossings
   • Reversing a calibration function
   • Rates, curvature and limiting responses
2. Growth and accumulation
   • Logarithms in multiplicative change
   • Growth and decay as explicit models
   • Accumulation from continuous rates
3. Integration and selection
   • Substitution, parts and rational patterns
   • Area between response curves
   • Combinations for specimen selection
4. Probability and synthesis
   • Conditional probability in mixed batches
   • Random counts, averages and spread
   • An integrated saturating-growth study

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.