An interactive, exam-focused survival system for VTU 2021 Scheme CSE mathematics.
https://codethief831.github.io/MathClear/
MathClear is designed for engineering students carrying mathematics backlogs who need a calm, understandable path from basic intuition to exam-ready solutions. It focuses specifically on the VTU 2021 Scheme mathematics papers relevant to CSE and allied branches.
The savage truth: rereading formulas feels productive until the question paper arrives. MathClear makes the learner move sliders, reveal working, choose an actual paper strategy and write solutions closed-book.
Backlog preparation often fails for predictable reasons:
- Notes jump from the question directly to the answer
- Important algebra disappears behind “after simplification”
- Generic question banks ignore the actual VTU paper structure
- Students passively read instead of practising complete 20-mark choices
- Last-day panic treats every topic as equally important
MathClear attacks those problems directly. It does not promise leaked questions or guaranteed marks. It provides a clearer route through the material and a defensible exam strategy.
| Course code | Course | Semester |
|---|---|---|
21MAT11 |
Calculus and Differential Equations | 1 |
21MAT21 |
Advanced Calculus and Numerical Methods | 2 |
21MAT31 |
Transform Calculus, Fourier Series and Numerical Techniques | 3 |
21MATCS41 |
Mathematical Foundations for CSE | 4 |
- Switch between all four 2021 Scheme mathematics papers
- View high-return modules and suggested study priorities
- Follow a manageable 45-minute study plan
- Open official VTU and Take It Easy Engineers reference resources
- See progress in a low-pressure, backlog-friendly interface
- Move a tangent point and see the geometric meaning of a derivative
- Rotate and stretch a shape to understand matrix transformations
- Shift and spread a probability distribution using sliders
- Read a short explanation of what each graph shows
- Connect every visual concept to a practical CSE application
- Work through VTU-style questions one micro-step at a time
- Reveal algebra gradually instead of skipping intermediate calculations
- Learn why each step is performed
- Practice Laplace-transform differential equations and probability problems
- Follow exam-writing patterns designed to improve method marks
- Switch formulas automatically when the active subject changes
- Search by formula name or use case
- Read properly typeset mathematical notation
- Copy formulas for personal revision notes
- Focus on short recall cues rather than dense theory
- Highlights high-priority modules
- Encourages method-based partial-mark strategies
- Breaks revision into recall, understanding and writing practice
- Avoids streak pressure and overwhelming walls of text
- Built after OCR processing of all 15 pages in the supplied
M3_ALL.pdf - Covers five arrear examinations from Dec. 2023/Jan. 2024 through Dec. 2025/Jan. 2026
- Reproduces the real VTU structure:
Q1 OR Q2throughQ9 OR Q10 - Provides five module choices totalling 100 attempted marks
- Includes question-paper mode with hidden answers and a printable A4 layout
- Includes evaluation-scheme mode with marks assigned to every expected line
- Correctly treats Module 4 as numerical PDE
- Includes recurring Module 5 RK4, Milne, Euler-equation and straight-line patterns
- Links supporting Take It Easy Engineers 21MAT31 resources for further revision
| Module | Historical structure found in the five supplied papers |
|---|---|
| 1 | Direct/periodic/convolution or unit-step/inverse/ODE by Laplace in every paper |
| 2 | Full Fourier series, half-range series and tabular harmonic analysis on every choice side |
| 3 | Fourier-transform family plus direct Z, inverse Z and difference equations |
| 4 | PDE classification, wave mesh, parabolic mesh and Laplace mesh in every paper |
| 5 | RK4, Milne, Euler derivation and extremal/geodesic applications |
The mock questions are independently authored from these recurring methods. OCR-damaged expressions were not blindly presented as exact official questions.
The learning structure and reference links are based on:
- VTU official 2021 Scheme and syllabus
- VTU official model question papers
- Take It Easy Engineers — 21MAT31 resources
- Take It Easy Engineers — 21MATCS41 model-paper solutions
MathClear is an independent educational project. It is not affiliated with or endorsed by Visvesvaraya Technological University or Take It Easy Engineers. Source names and links are provided for attribution and student convenience.
- React 19
- TypeScript
- Vite
- Tailwind CSS
- Plotly.js
- MathJax
- Lucide React
- GitHub Actions
- GitHub Pages
The interface is designed for:
- Desktop and laptop browsers
- Tablets
- Android and iOS mobile browsers
- Touch controls and smaller displays
- Keyboard navigation and visible focus states
- Node.js 20 or newer
- npm
-
Clone the repository:
git clone https://github.com/CodeThief831/MathClear.git -
Enter the project directory:
cd MathClear -
Install dependencies:
npm install -
Start the development server:
npm run dev -
Open the local address displayed by Vite.
Double-click run-app.bat. It installs missing dependencies, starts the development server and opens the website in the default browser.
| Command | Purpose |
|---|---|
npm run dev |
Start the local development server |
npm run build |
Create an optimized production build in dist |
npm run lint |
Check the source with ESLint |
npm run preview |
Preview the production build locally |
The website is deployed through .github/workflows/deploy-pages.yml.
Every push to the main branch automatically:
- Checks out the source
- Installs exact dependencies with
npm ci - Runs ESLint
- Builds the production website
- Uploads the generated
distdirectory - Publishes the new version to GitHub Pages
No local computer or manual server needs to remain running. GitHub hosts the static website continuously.
| Path | Purpose |
|---|---|
src/App.tsx |
Application shell, navigation and active-paper state |
src/App.css |
Responsive dark interface and typography |
src/data.ts |
Subject, module, formula and reference data |
src/components/MainDashboard.tsx |
Dashboard and exam-focus experience |
src/components/ConceptVisualizer.tsx |
Plotly-based interactive mathematics |
src/components/StepByStepSolver.tsx |
Micro-step worked-solution interface |
src/components/CheatSheet.tsx |
Searchable MathJax formula sheets |
.github/workflows/deploy-pages.yml |
Continuous deployment workflow |
Improvements are welcome, especially:
- More verified VTU 2021 Scheme questions
- Additional micro-step solutions
- More visual explanations
- Accessibility and mobile improvements
- Corrections to formulas or terminology
Read CONTRIBUTING.md, create a branch, make the change, run npm run lint and npm run build, then open a pull request describing what was improved.
Community participation follows the Code of Conduct. Security issues should follow SECURITY.md, not a public issue.
Students should verify course changes, examination rules, question-paper patterns and official announcements on the VTU website. Community resources can help with practice but do not replace the current official syllabus or circulars.
Released under the MIT License.