if (window.tailwind) { window.tailwind.config = { darkMode: 'class', theme: { extend: { colors: { background: '#09090b', foreground: '#fafafa', card: { DEFAULT: 'rgba(24, 24, 27, 0.4)', foreground: '#fafafa', }, muted: { DEFAULT: '#27272a', foreground: '#a1a1aa', }, accent: { DEFAULT: '#6366f1', foreground: '#ffffff', }, border: '#27272a', }, fontFamily: { sans: ['Inter', 'sans-serif'], } } } } } else { console.warn("Tailwind CSS not loaded."); } // --- DATA ARCHITECTURE --- const curriculumData = [ // Year 1 Sem 1 { year: "1st Year", semester: "1st Semester", name: "Linear Algebra", category: "Algebra", bibliography: [ "Lay, D. C., Linear Algebra and its Applications, 4th Ed., Pearson, 2012.", "Axler, S., Linear Algebra Done Right, Springer.", "Strang, G., Linear Algebra and Its Applications, Academic Press." ] }, { year: "1st Year", semester: "1st Semester", name: "Single-Variate Calculus", category: "Analysis", bibliography: [ "Apostol, T. M., Calculus, Vol. I, Reverté, 1994.", "Stewart, J., Calculus, Cengage Learning.", "Spivak, M., Calculus, Cambridge University Press." ] }, { year: "1st Year", semester: "1st Semester", name: "Combinatorics and Graphs", category: "Statistics", bibliography: [ "Bona, M., A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory, World Scientific.", "Brualdi, R. A., Introductory Combinatorics, Pearson.", "Bondy, J. A., & Murty, U. S. R., Graph Theory, Springer." ], readings: ["Quick check page 26", "Quick check page 33", "Exercises chapter 1"] }, { year: "1st Year", semester: "1st Semester", name: "Introduction to Number Theory", category: "Algebra", bibliography: [ "Hardy, G. H., & Wright, E. M., An Introduction to the Theory of Numbers, Oxford University Press.", "Tattersall, J. J., Elementary Number Theory, Cambridge University Press.", "Rosen, K., Elementary Number Theory and Its Applications, Pearson." ] }, { year: "1st Year", semester: "1st Semester", name: "Experimental Mathematics", category: "Computation", bibliography: [ "Borwein, J., & Bailey, D., Mathematics by Experiment, A K Peters.", "Wolfram, S., The Mathematica Book, Cambridge University Press.", "Blanchman, N., Mathematica: a Practical Approach, Prentice Hall." ] }, // Year 1 Sem 2 { year: "1st Year", semester: "2nd Semester", name: "Introduction to Abstract Algebra", category: "Algebra", bibliography: [ "Lang, S., Undergraduate Algebra, Springer.", "Herstein, I. N., Topics in Algebra, Wiley.", "Fraleigh, J. B., A First Course in Abstract Algebra, Pearson." ] }, { year: "1st Year", semester: "2nd Semester", name: "Multi-Variate Calculus", category: "Analysis", bibliography: [ "Apostol, T. M., Calculus, Vol. II, Reverté.", "Marsden, J. E., & Tromba, A. J., Vector Calculus, Freeman.", "Stewart, J., Multivariable Calculus, Cengage Learning." ] }, { year: "1st Year", semester: "2nd Semester", name: "Numerical Optimization", category: "Computation", bibliography: [ "Luenberger, D. G., & Ye, Y., Linear and Nonlinear Programming, Springer.", "Matousek, J., & Gartner, B., Understanding and Using Linear Programming, Springer.", "Nocedal, J. & Wright, S. J., Numerical Optimization, Springer." ] }, { year: "1st Year", semester: "2nd Semester", name: "Real Analysis", category: "Analysis", bibliography: [ "Benedetto, J. J., Real Variable and Integration, Teubner, 1976.", "Bartle, R. G., The Elements of Real Analysis, Wiley.", "Rudin, W., Principles of Mathematical Analysis, McGraw-Hill." ] }, { year: "1st Year", semester: "2nd Semester", name: "Introduction to Geometry", category: "Algebra", bibliography: [ "Audin, M., Geometry, Springer, 2002.", "Reid, M., & Szendroi, B., Geometry and Topology, Cambridge University Press.", "Pressley, A., Elementary Differential Geometry, Springer." ] }, // Year 2 Sem 1 { year: "2nd Year", semester: "1st Semester", name: "Vector and Manifold Calculus", category: "Analysis", bibliography: [ "Spivak, M., Calculus on Manifolds, Benjamin/Cummings.", "Munkres, J. R., Analysis on Manifolds, Addison-Wesley.", "Fleming, W., Functions of Several Variables, Springer." ] }, { year: "2nd Year", semester: "1st Semester", name: "Introduction to Complex Analysis", category: "Analysis", bibliography: [ "Marsden, J. E., & Hoffman, M. J., Basic Complex Analysis, Freeman.", "Ahlfors, L. V., Complex Analysis, McGraw-Hill.", "Stein, E. M., & Shakarchi, R., Complex Analysis, Princeton University Press." ] }, { year: "2nd Year", semester: "1st Semester", name: "Probability and Statistics", category: "Statistics", bibliography: [ "Ross, S. M., Introduction to Probability and Statistics, Academic Press.", "Montgomery, D. C., Applied Statistics and Probability, Wiley.", "Hogg, R. V., & Tanis, E. A., Probability and Statistical Inference, Pearson." ] }, { year: "2nd Year", semester: "1st Semester", name: "Numeric Linear Algebra", category: "Computation", bibliography: [ "Golub, G. H., Matrix Computations, Johns Hopkins University Press.", "Trefethen, L. N., & Bau, D., Numerical Linear Algebra, SIAM.", "Demmel, J. W., Applied Numerical Linear Algebra, SIAM." ] }, { year: "2nd Year", semester: "1st Semester", name: "Linear Analysis", category: "Analysis", bibliography: [ "Kreyszig, E., Advanced Engineering Mathematics, Wiley.", "Pinsky, M. A., Fourier Analysis and Wavelets, Brooks/Cole.", "Stein, E. M., & Shakarchi, R., Fourier Analysis, Princeton University Press." ] }, // Year 2 Sem 2 { year: "2nd Year", semester: "2nd Semester", name: "Abstract Algebra: Groups, Rings, Fields", category: "Algebra", bibliography: [ "Lang, S., Algebra, Springer.", "Rotman, J. J., Theory of Groups, Springer.", "Dummit, D. S., & Foote, R. M., Abstract Algebra, Wiley." ] }, { year: "2nd Year", semester: "2nd Semester", name: "Advanced Probability and Statistics", category: "Statistics", bibliography: [ "Casella, G., & Berger, R. L., Statistical Inference, Duxbury.", "DeGroot, M. H., & Schervish, M. J., Probability and Statistics, Addison-Wesley.", "Wasserman, L., All of Statistics, Springer." ] }, { year: "2nd Year", semester: "2nd Semester", name: "Functional Linear Analysis", category: "Analysis", bibliography: [ "Kreyszig, E., Introductory Functional Analysis, Wiley.", "Conway, J. B., A Course in Functional Analysis, Springer.", "Brezis, H., Functional Analysis, Springer." ] }, { year: "2nd Year", semester: "2nd Semester", name: "Computational Mathematics", category: "Computation", bibliography: [ "Burden, R. L., & Faires, J. D., Numerical Analysis, Cengage Learning.", "Heath, M. T., Scientific Computing, McGraw-Hill.", "Quarteroni, A., et al., Numerical Mathematics, Springer." ] }, { year: "2nd Year", semester: "2nd Semester", name: "Algorithms and Comp. Modelling", category: "Computation", bibliography: [ "Cormen, T. H., et al., Introduction to Algorithms, MIT Press.", "Kleinberg, J. & Tardos, E., Algorithm Design, Pearson." ] }, // Year 3 Sem 1 { year: "3rd Year", semester: "1st Semester", name: "Intro to Computational Complexity", category: "Computation", bibliography: [ "Arora, S., & Barak, B., Computational Complexity, Cambridge Univ. Press.", "Sipser, M., Theory of Computation, Cengage Learning.", "Cormen, T. H., et al., Introduction to Algorithms, MIT Press." ] }, { year: "3rd Year", semester: "1st Semester", name: "Linear Model Analysis", category: "Statistics", bibliography: [ "Kutner, M., et al., Applied Linear Statistical Models, McGraw-Hill.", "Faraway, J. J., Linear Models with R, CRC Press.", "Montgomery, D. C., et al., Linear Regression Analysis, Wiley." ] }, { year: "3rd Year", semester: "1st Semester", name: "Multivariate Analysis", category: "Statistics", bibliography: [ "Johnson, R. A., & Wichern, D. W., Multivariate Analysis, Pearson.", "Mardía, K. V., et al., Multivariate Analysis, Academic Press.", "Schabenberger, O., Statistical Methods for Spatial Data, CRC/Chapman." ] }, { year: "3rd Year", semester: "1st Semester", name: "Numerical Analysis", category: "Computation", bibliography: [ "Kress, R., Numerical Analysis, Springer.", "Quarteroni, A., et al., Numerical Mathematics, Springer.", "Atkinson, K., Theoretical Numerical Analysis, Springer." ] }, { year: "3rd Year", semester: "1st Semester", name: "Probability Theory", category: "Statistics", bibliography: [ "Karr, A. F., Probability, Springer.", "Resnick, S. I., A Probability Path, Birkhäuser.", "Billingsley, P., Probability and Measure, Wiley." ] }, { year: "3rd Year", semester: "1st Semester", name: "Topology", category: "Algebra", bibliography: [ "Munkres, J. R., Topology, Prentice Hall.", "Dugundji, J., Topology, Allyn and Bacon.", "Kelley, J. L., General Topology, Springer." ] }, // Year 3 Sem 2 { year: "3rd Year", semester: "2nd Semester", name: "Stochastic Processes", category: "Statistics", bibliography: [ "Ross, S. M., Stochastic Processes, Wiley.", "Kulkarni, V. G., Analysis of Stochastic Systems, Chapman & Hall.", "Karlin, S. & Taylor, H., Stochastic Processes, Academic Press." ] }, { year: "3rd Year", semester: "2nd Semester", name: "Measure and Integration", category: "Analysis", bibliography: [ "Folland, G. B., Real Analysis, Wiley.", "Rudin, W., Real and Complex Analysis, McGraw-Hill.", "Royden, H. L., Real Analysis, Macmillan." ] }, { year: "3rd Year", semester: "2nd Semester", name: "Reliability and Quality Control", category: "Statistics", bibliography: [ "Montgomery, D. C., Statistical Quality Control, Wiley.", "Barlow, R. E., Mathematical Theory of Reliability, SIAM." ] }, { year: "3rd Year", semester: "2nd Semester", name: "Mathematical Finance", category: "Statistics", bibliography: [ "Wilmott, P., Quantitative Finance, Wiley.", "Hull, J. C., Options, Futures, and Other Derivatives, Pearson.", "Mikosch, T., Elementary Stochastic Calculus, World Scientific." ] }, { year: "3rd Year", semester: "2nd Semester", name: "Statistical Data Mining", category: "Statistics", bibliography: [ "Tan, P.-N., et al., Introduction to Data Mining, Pearson.", "Hastie, T., et al., The Elements of Statistical Learning, Springer.", "Hand, D., et al., Principles of Data Mining, MIT Press." ] }, { year: "3rd Year", semester: "2nd Semester", name: "Statistics and Data Science", category: "Statistics", bibliography: [ "James, G., et al., Statistical Learning, Springer.", "Matloff, N., Probability and Statistics for Data Science, CRC Press.", "Bruce, P. & Bruce, A., Practical Statistics for Data Scientists, O'Reilly." ] } ]; // --- GEMINI API INTEGRATION --- const apiKey = ""; async function callGemini(prompt) { const url = `https://generativelanguage.googleapis.com/v1beta/models/gemini-2.5-flash-preview-09-2025:generateContent?key=${apiKey}`; const payload = { contents: [{ parts: [{ text: prompt }] }] }; let delay = 1000; for (let i = 0; i < 5; i++) { try { const response = await fetch(url, { method: 'POST', headers: { 'Content-Type': 'application/json' }, body: JSON.stringify(payload) }); if (!response.ok) throw new Error('API Error'); const data = await response.json(); return data.candidates?.[0]?.content?.parts?.[0]?.text || "No response generated."; } catch (error) { if (i === 4) throw error; await new Promise(resolve => setTimeout(resolve, delay)); delay *= 2; } } } async function getCourseBrief(courseName) { showModal("✨ Generating Intelligent Brief...", `

`); try { const prompt = `You are an expert math professor. Explain what the course "${courseName}" is about, why it is fundamental to a mathematics degree, and give one distinct real-world application (e.g. in tech, finance, or physics). Be concise (under 120 words). Format with bold headers.`; const result = await callGemini(prompt); updateModal(courseName + " Smart Brief", result); } catch (err) { updateModal("Error", "Failed to connect to Gemini API. Please check your network or API key."); } } async function generateCareerStrategy() { const output = document.getElementById('careerOutput'); const btn = document.getElementById('careerBtn'); output.classList.remove('hidden'); output.innerHTML = `

AI is analyzing the curriculum...

`; btn.disabled = true; btn.classList.add('opacity-50'); try { const courseList = curriculumData.map(c => c.name).join(', '); const prompt = `Based on this mathematics curriculum: [${courseList}], suggest 3 specific modern career paths or research specializations (e.g. Quantitative Finance, AI Research, Cryptography). For each, explain briefly why it matches and which core courses are the most critical. Use a professional, inspiring tone. Keep it concise.`; const result = await callGemini(prompt); output.innerHTML = `

${result}

`; } catch (err) { output.innerHTML = "Error generating roadmap. Please try again later."; } finally { btn.disabled = false; btn.classList.remove('opacity-50'); } } // --- APP UI LOGIC --- function navigate(section) { document.getElementById('section-dashboard').classList.add('hidden'); document.getElementById('section-explorer').classList.add('hidden'); document.getElementById('nav-dashboard').classList.remove('nav-item-active'); document.getElementById('nav-explorer').classList.remove('nav-item-active'); document.getElementById('section-' + section).classList.remove('hidden'); document.getElementById('nav-' + section).classList.add('nav-item-active'); if (section === 'dashboard') { window.scrollTo({ top: 0, behavior: 'smooth' }); } } function showModal(title, content) { document.getElementById('modalTitle').innerText = title; document.getElementById('modalContent').innerHTML = content; document.getElementById('aiModal').classList.remove('hidden'); document.getElementById('aiModal').classList.add('flex'); } function updateModal(title, content) { document.getElementById('modalTitle').innerText = title; document.getElementById('modalContent').innerHTML = `

${content}

`; } function closeModal() { document.getElementById('aiModal').classList.add('hidden'); document.getElementById('aiModal').classList.remove('flex'); } // Label wrapping utility (16 chars logic) function wrapLabel(label) { if (label.length <= 16) return label; const words = label.split(' '); const lines = []; let currentLine = words[0]; for (let i = 1; i < words.length; i++) { if ((currentLine + ' ' + words[i]).length <= 18) { currentLine += ' ' + words[i]; } else { lines.push(currentLine); currentLine = words[i]; } } lines.push(currentLine); return lines; } const commonOptions = { responsive: true, maintainAspectRatio: false, plugins: { tooltip: { backgroundColor: '#18181b', titleColor: '#ffffff', bodyColor: '#a1a1aa', borderColor: '#27272a', borderWidth: 1, padding: 12, callbacks: { title: function (tooltipItems) { const item = tooltipItems[0]; let label = item.chart.data.labels[item.dataIndex]; return Array.isArray(label) ? label.join(' ') : label; } } }, legend: { display: false } }, scales: { x: { grid: { color: '#18181b' }, ticks: { color: '#71717a', font: { size: 10 } } }, y: { grid: { color: '#18181b' }, ticks: { color: '#71717a', font: { size: 10 } } } } }; function initCharts() { const catCounts = curriculumData.reduce((acc, curr) => { acc[curr.category] = (acc[curr.category] || 0) + 1; return acc; }, {}); new Chart(document.getElementById('subjectChart').getContext('2d'), { type: 'doughnut', data: { labels: Object.keys(catCounts).map(wrapLabel), datasets: [{ data: Object.values(catCounts), backgroundColor: ['#6366f1', '#a855f7', '#ec4899', '#06b6d4'], borderWidth: 0, hoverOffset: 10 }] }, options: { ...commonOptions, cutout: '70%', plugins: { ...commonOptions.plugins, legend: { display: true, position: 'bottom', labels: { color: '#a1a1aa', usePointStyle: true, padding: 20 } } } } }); const semesterMap = curriculumData.reduce((acc, curr) => { const key = curr.year + ' ' + curr.semester; acc[key] = (acc[key] || 0) + 1; return acc; }, {}); new Chart(document.getElementById('loadChart').getContext('2d'), { type: 'bar', data: { labels: Object.keys(semesterMap).map(k => wrapLabel(k.replace('Semester', 'Sem'))), datasets: [{ label: 'Courses', data: Object.values(semesterMap), backgroundColor: '#6366f1', borderRadius: 4 }] }, options: { ...commonOptions, scales: { ...commonOptions.scales, y: { ...commonOptions.scales.y, beginAtZero: true, ticks: { stepSize: 1 } } } } }); } function renderGrid() { const container = document.getElementById('courseGrid'); const noRes = document.getElementById('noResults'); const yearVal = document.getElementById('yearFilter').value; const catVal = document.getElementById('categoryFilter').value; const searchVal = document.getElementById('searchInput').value.toLowerCase(); const filtered = curriculumData.filter(c => { const matchYear = yearVal === 'All' || c.year === yearVal; const matchCat = catVal === 'All' || c.category === catVal; const matchSearch = c.name.toLowerCase().includes(searchVal); return matchYear && matchCat && matchSearch; }); container.innerHTML = ''; if (filtered.length === 0) { noRes.classList.remove('hidden'); return; } noRes.classList.add('hidden'); filtered.forEach(course => { const card = document.createElement('div'); card.className = 'glass-card p-6 flex flex-col h-full group'; const bibItems = course.bibliography.map(b => `

${b}

`).join(''); card.innerHTML = `

${course.year} • ${course.semester.replace('Semester', 'Sem')}

${course.category}

${course.name}

▸ Bibliography

${bibItems}

`; container.appendChild(card); }); } // --- INIT --- // --- INIT --- function initApp() { initCharts(); renderGrid(); // Use optional chaining or check existence to prevent errors if elements aren't found immediately const yearFilter = document.getElementById('yearFilter'); const categoryFilter = document.getElementById('categoryFilter'); const searchInput = document.getElementById('searchInput'); if (yearFilter) yearFilter.addEventListener('change', renderGrid); if (categoryFilter) categoryFilter.addEventListener('change', renderGrid); if (searchInput) searchInput.addEventListener('input', renderGrid); } // Check if DOM is already loaded (which it is for dynamically injected scripts) if (document.readyState === 'loading') { document.addEventListener('DOMContentLoaded', initApp); } else { initApp(); } // --- Exports --- if (typeof callGemini !== 'undefined') { window.callGemini = callGemini; }; if (typeof getCourseBrief !== 'undefined') { window.getCourseBrief = getCourseBrief; }; if (typeof generateCareerStrategy !== 'undefined') { window.generateCareerStrategy = generateCareerStrategy; }; if (typeof navigate !== 'undefined') { window.navigate = navigate; }; if (typeof showModal !== 'undefined') { window.showModal = showModal; }; if (typeof updateModal !== 'undefined') { window.updateModal = updateModal; }; if (typeof closeModal !== 'undefined') { window.closeModal = closeModal; }; if (typeof wrapLabel !== 'undefined') { window.wrapLabel = wrapLabel; }; if (typeof initCharts !== 'undefined') { window.initCharts = initCharts; }; if (typeof renderGrid !== 'undefined') { window.renderGrid = renderGrid; }; if (typeof initApp !== 'undefined') { window.initApp = initApp; }; // --- Initialization --- { }

Mathematics Curriculum

Curriculum Architecture

32

✨ Career Strategist

Subject Area Weighting

Course Load per Semester

Course Briefing