A Java console application that applies Discrete Mathematical Structures to solve a real-world financial planning problem. The project models monthly savings using Arithmetic Progressions (AP) and Finite Arithmetic Series to help users plan and predict their savings.
Developed as a course project for CSC1201 – Discrete Mathematical Structures at SZABIST.
Smart Savings Planner assists users in planning their savings by calculating:
- The monthly increase required to reach a financial goal.
- The number of months required to achieve a target savings amount.
- A complete month-by-month savings schedule.
The application demonstrates how concepts from Discrete Mathematics can be applied to practical financial planning.
This project is based on the following discrete mathematics topics:
- Discrete Sequences
- Arithmetic Progression (AP)
- Finite Arithmetic Series
- Mathematical Formula Derivation
- Iterative Algorithms
- Discrete Summation
Sₙ = (n/2)[2a + (n − 1)d]
Where:
- a = Initial monthly savings
- d = Monthly increase
- n = Number of months
- Sₙ = Total savings after n months
The application also derives the formula to calculate the required monthly increase (d) when the savings target and duration are known.
Given:
- Current monthly savings
- Target savings
- Number of months
The application calculates:
- Required monthly increase
- Month-by-month savings table
- Total accumulated savings
Given:
- Current monthly savings
- Monthly increase
- Target amount
The application calculates:
- Number of months required
- Running savings total
- Final accumulated savings
The program validates all user inputs by ensuring:
- Positive numeric values
- Positive integer months
- Valid menu selections
- Handling invalid input without crashing
===WELCOME TO SAVINGS PLANNER===
1. Monthly Savings Plan
2. Month Calculation
3. Exit
- Java
- Object-Oriented Programming (OOP)
- Scanner Class
- Console-based Interface
Savings-Planner/
│
├── README.md
├── Smart Savings Planner - Report.pdf
└── src/
├── SavingsPlanner.java
├── SavingsPlannerGUI.java
└── screenshots/
├── menu.png
├── monthly-savings-plan.png
└── month-predictor.png
Below are sample outputs demonstrating the application's primary features.
This project demonstrates the practical implementation of:
- Arithmetic Progressions
- Finite Arithmetic Series
- Algorithm Design
- Mathematical Modeling
- Java Programming
- Input Validation
- Looping Structures
- Problem Solving using Discrete Mathematics
Potential enhancements include:
- Java Swing or JavaFX graphical user interface
- Savings visualization using charts
- Interest rate calculations
- Savings history tracking
- Export plans as PDF
- Currency selection
- File-based data storage
The repository also includes the complete project report containing:
- Introduction
- Mathematical Background
- Formula Derivation
- Algorithm Description
- Sample Outputs
- Conclusion
Project Report: Smart Savings Planner - Report.pdf
Naushaba Asif
3rd Semester, Computer Science Student
SZABIST Karachi
Rohban Tariq
3rd Semester, Computer Science Student
SZABIST Karachi
This project was developed for educational purposes as part of the CSC1201 – Discrete Mathematical Structures course.