Learning
Maple

Maple Fundamentals:

• 1: Setting Up Maple and Finding Help   📄 (PDF) 

• 2: Maple as a Calculator   📄 (PDF) 

• 3: Writing Symbolic Expressions  📄 (PDF) 

• 4: Solving Symbolic Equations  📄 (PDF) 

• 5: Solving Numeric Equations  📄 (PDF) 

• 6: User-generated Functions  📄 (PDF) 

• 7: 2d Plotting  📄 (PDF) 

• 8: Document Generation 📄 (PDF)
  📄 Exercises - PDF 📄 Solutions - PDF

Useful Maple Procedures and Methods:

• Evaluate expressions - eval:  📄 (PDF)

• Sequence generator - seq:   📄 (PDF)

• Conditional procedures - ifelse, piecewise, Heaviside :  📄 (PDF)

• Random number generation - rand, randomize:  📄 (PDF)

• Extrema - minimize, maximize:  📄 (PDF)

• Animation - plots:-Animate :  📄 (PDF) 

• DataFrames - DataFrames, Import, sort, select, Append, Remove: 📄 (PDF)

• How I Make The Learning Maple Documents

How to ... in Maple:
Administrative

• Set the Default Mode to Worksheet - vs. using Document mode

• Change the Working Directory - programmatically and through the interface

Solving equations

• Solve - using solve sets of equations with sets of unknowns

• Numerically Solve - using fsolve to calculate

• Solve Sets of Numerical Equations - additional abilities of fsolve to calculate

• Evaluate Expressions - example of using eval

• Execute Elementwise Operations - using the elementwise operator `~`

Plotting

• Plot Two Functions Simultaneously

• Arrange Plots in a Display

• Plot a Numerical Integration Function

• Draw Fractals

Document Operations

• Add Subscripts

Data Structures

• Creating Sequences

Vectors

• Make a Vector Sign Over a Variable

• Make a Vector Sign Using an Icon

Statistics

• Generate Random Numbers - applications of using the rand procedure

• Generate Bazillions of Random Numbers - implementation of LinearAlgebra:-RandomVector

• Generate Random Numbers: Non-uniform Distribution - Sample values from selected probability distributions

Calculus

• Calculate Curvature Constants

Learning to Program using Maple:
Videos associated with the Maple Programming Guide (MPG) 

• 0: Coding Environments -  Execution Groups & Code Edit Regions
  MPG: Code Edit Region 

• 1: Introduction to Programming - CERs, Procedures, How to Avoid Problems  📄 (PDF)
  MPG: Chapter 1 - Introduction to Programming
  📄 Exercise Solutions

• Example: Numeric Integration - Monte Carlo 📄 (PDF) 

• Example: Collatz Conjecture 📄 (PDF) 🍁(worksheet)

• Example: Mandelbrot Set Generation and Display📄 (PDF) 

Worksheets Addressing YouTube Viewer Questions:

• DKFX1
  - numerical calculation📄 (PDF)

• SoroushEghbali  
  - Laplace's Equation  in Cylindrical Coordinates 📄 (PDF)

• tameshalcunningham
  - Collatz Conjecture   📄 (PDF)

• yasernrj1211   
  - ODE problem  🎦(GIF) 

• zafiot
  - arrow plot