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Problem Solving

Master mathematical problem-solving by building applications that implement and visualize algorithms, optimization techniques, and computational methods. Create tools that help solve real-world problems across various domains.

Level 1
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Learning Objectives

  • Create interactive visualizations of algorithms and their performance
  • Build applications that implement various problem-solving strategies
  • Develop tools for optimizing systems and processes
  • Implement computational methods for solving complex problems
  • Apply problem-solving techniques to real-world scenarios

Problem Solving Projects

Complete these projects to build a portfolio demonstrating your mathematical problem-solving abilities. Each project becomes progressively more challenging and builds upon skills from previous projects.

Algorithm Visualizer

Beginner

Create an interactive tool for visualizing algorithms and their step-by-step execution with performance metrics.

Problem-Solving Workbench

Intermediate

Build an interactive platform for solving mathematical problems with multiple solution approaches and step-by-step guidance.

Prerequisites: algorithm-visualizer

Optimization Toolkit

Intermediate

Develop a suite of tools for solving optimization problems across various domains using mathematical techniques.

Prerequisites: problem-solving-workbench

Complex Problem Solver

Advanced

Build an advanced application that tackles complex, interdisciplinary problems using computational and mathematical approaches.

Prerequisites: optimization-toolkit

Your Progress

1
Level 10/300 XP
300 XP until Level 2
Module Completion0/4

Course Instructor

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Recent Achievements

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Problem Solver

Created an interactive problem-solving workbench

7/20/2023
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Algorithm Master

Built your first algorithm visualization tool

6/15/2023

Career Pathways

These career opportunities become available as you complete projects and develop your problem-solving skills.

Algorithm Developer

Level 1

Creating efficient algorithms to solve complex computational problems.

Salary Range: USD 70,000 - 95,000
Common Employers: Software development firms, Technology startups, Research institutions
Demand Level:

Required Projects:

Algorithm Visualizer
Problem Solving Workbench

Optimization Specialist

Level 2

Applying mathematical techniques to optimize processes, resources, and systems.

Salary Range: USD 85,000 - 125,000
Common Employers: Logistics companies, Manufacturing firms, Technology corporations
Demand Level:

Required Projects:

Problem Solving Workbench
Optimization Toolkit

Computational Scientist

Level 3

Developing advanced computational models to solve complex scientific problems.

Salary Range: USD 95,000 - 160,000
Common Employers: Research laboratories, Aerospace companies, Pharmaceutical firms
Demand Level:

Required Projects:

Optimization Toolkit
Complex Problem Solver

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