Abstract

Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.

Citation

Researchers should cite this work as follows:

• Winkel, B. (2022). 1-045-TimeOfDeath-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/4XES-BY10

  BibTex | EndNote

Article Context

Resource Type

• Modeling Scenario

Differential Equation Type

• ODE
• First
• Linear
• Constant Coeff
• Homogeneous
• Nonhomogeneous

Technique

• Integrating Factor
• Parameter Estimation
• Separable
• Separation of Variables

Qualitative Analysis

• Parameters

Application Area

• Life Sciences
• Modeling (general)

Course

• Calculus 2
• Differential Equations
• Modeling

Course Level

• Upper Level
• High School

Lesson Length

• Portion of one class period

Technology

• Mathematica

Approach

• Guided

Skills

• Data analysis

Key Scientific Process Skills

• Asking a question
• Formulating hypotheses
• Analyzing data

Assessment Type

• Homework
• Written assignment: Report

Pedagogical Approaches

• Guided inquiry/investigation

Vision and Change Core Competencies - Ability

• Create and develop models
• Use quantitative reasoning

Principles of How People Learn

• Motivates student to learn material

Bloom's Cognitive Level

• Application & Analysis

Description

Using several observed temperatures and knowledge of the environment's temperature the time of death is fixed with the assistance of a differential equation.

Article Files

• 1-045-S-TimeOfDeath-StudentVersion.pdf(PDF | 387 KB)
• 1-045-S-TimeOfDeath-StudentVersion.tex(TEX | 10 KB)
• 1-045-T-Mma-TimeOfDeath-TeacherVersion.nb (Instructors only)(NB | 78 KB)
• 1-045-T-Mma-TimeOfDeath-TeacherVersion.pdf (Instructors only)(PDF | 138 KB)
• 1-045-T-TimeOfDeath-TeacherVersion.pdf (Instructors only)(PDF | 416 KB)
• 1-045-T-TimeOfDeath-TeacherVersion.tex (Instructors only)(TEX | 11 KB)
• SIMIODE.cls(CLS | 7 KB)
• SimiodeLogo.jpg(JPG | 271 KB)
• TimeDeathPic.jpg(JPG | 11 KB)
• License terms

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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