Unit 4: Applied Mathematics

Solve real-world problems using mathematical modeling, optimization techniques, and data analysis.

Unit Overview

18 Lessons

Hours of guided content

5h 30m

Estimated time commitment

0% Complete

Core Lessons

Lesson 4A: Optimization

Learn to maximize profits and minimize costs using linear programming techniques.

Difficulty: Intermediate 30m
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Lesson 4B: Statistical Modeling

Apply regression analysis and probability distributions to data sets.

Difficulty: Advanced 45m
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Lesson 4c: Financial Math

Explore compound interest, amortization schedules, and investment calculations.

Difficulty: Intermediate 35m
Open Lesson

Applied Math Tools

Optimization Simulator

Visualize how constraints and objectives interact in linear programming problems.

Launch Tool

Practice Problems

Case Study: Supply Chain

A factory produces 300 units daily. Shipping costs are $50 per truck. What's the optimal number of trucks to minimize costs?

Develop a mathematical model for this optimization problem.

View Solutions

Risk Analysis Challenge

Given a 12% failure rate for components, what's the probability of at least two failures in a batch of 50?

Model the probability distribution for this scenario.

Analyze Risks

Applied Math Path

Optimization

Linear programming, simplex method, and constraint systems

Statistics

Regression analysis, hypothesis testing, and probability modeling

Financial Math

Time value of money calculations and investment strategies

Real-world Applications

Modeling infrastructure projects, climate patterns, and business forecasts

Total Unit Completion:

0%