P1 • Course companion worksheet
Aim: one alive Maple file per course, updated across the semester
Choose a UI course (for example, a calculus, linear algebra, or ODE course) and build a
Maple worksheet that grows week by week. The file becomes a record of examples, checks,
and mini-experiments for that specific course.
Level: 200–400
Works best in small groups
Suggested naming scheme
maple-COURSECODE-semester-year.mw
maple-MATXXX-2024-2025.mw
Inside the worksheet, use headings for each week and keep a short “What I learnt”
section at the bottom.
P2 • Maple problem book
Aim: build a small library of worked problems
Instead of building a single course companion, create a “problem book” worksheet for a
theme such as “improper integrals”, “linear systems”, or “series and convergence”.
Level: 300–400
- • One page per problem: the original statement, your handwritten solution, and the Maple check.
- • A short reflection on where Maple helped and where it did not.
- • A brief note on how the problem connects to a UI course or exam style.
Problem entry template (in worksheet text)
Problem:
[Paste or summarise the problem here.]
Hand solution (short outline):
[Key steps you did by hand.]
Maple check:
[Commands + output.]
Reflection:
[What Maple helped with, any surprises.]
P3 • Integration Bee & ODE practice
Aim: connect Maple to ODE–Integration Bee style questions
Use Maple to test conjectured antiderivatives or to explore families of integrals that
appear in contest preparation. The emphasis is not to let Maple solve everything for you,
but to use it as a verification and exploration tool.
Level: 300–500
Good for NAMSSN project teams
- • Collect integrals that were solved by transforming them into ODEs.
- • Use Maple to check differential equations and final expressions.
- • Experiment with parameters to guess broader families of identities.
Template: project worksheet skeleton
You can reuse the structure below for many Maple-based projects.
# Title: Maple companion for [Course/Project]
# Author: [Your name]
# Semester: [e.g. 2024/2025]
# Section 1: Setup
restart:
with(LinearAlgebra):
with(DEtools):
# Section 2: Key examples
# 2.1 Example title
# [Text explanation]
# [Maple commands]
# Section 3: Experiments
# [Commands where you vary parameters, try new matrices, etc.]
# Section 4: Summary
# [Two or three sentences on what you observed.]