🎓 Initial commit: Math2 Platform - Plataforma de Álgebra Lineal PRO

✨ Características:
- 45 ejercicios universitarios (Basic → Advanced)
- Renderizado LaTeX profesional
- IA generativa (Z.ai/DashScope)
- Docker 9 servicios
- Tests 123/123 pasando
- Seguridad enterprise (JWT, XSS, Rate limiting)

🐳 Infraestructura:
- Next.js 14 + Node.js 20
- PostgreSQL 15 + Redis 7
- Docker Compose completo
- Nginx + SSL ready

📚 Documentación:
- 5 informes técnicos completos
- README profesional
- Scripts de deployment automatizados

Estado: Producción lista ✅

scripts/monitor.sh

@@ -0,0 +1,113 @@
+#!/bin/bash
+# ================================================
+# Math Platform - Monitoring Script
+# ================================================
+
+# Colors for output
+RED='\033[0;31m'
+GREEN='\033[0;32m'
+YELLOW='\033[1;33m'
+BLUE='\033[0;34m'
+CYAN='\033[0;36m'
+NC='\033[0m' # No Color
+
+clear
+
+while true; do
+    clear
+    echo -e "${CYAN}╔═══════════════════════════════════════════════════════╗${NC}"
+    echo -e "${CYAN}║     Math Platform - Real-time Monitor                ║${NC}"
+    echo -e "${CYAN}║     $(date '+%Y-%m-%d %H:%M:%S')                    ║${NC}"
+    echo -e "${CYAN}╚═══════════════════════════════════════════════════════╝${NC}"
+
+    # System Resources
+    echo -e "\n${BLUE}System Resources${NC}"
+    echo "----------------------------------------"
+    CPU_USAGE=$(top -bn1 | grep "Cpu(s)" | awk '{print $2}' | cut -d'%' -f1)
+    MEM_USAGE=$(free | awk 'NR==2{printf "%.1f%%", $3*100/$2}')
+    DISK_USAGE=$(df -h / | awk 'NR==2 {print $5}')
+
+    echo -e "CPU:    ${CPU_USAGE}%"
+    echo -e "Memory: ${MEM_USAGE}"
+    echo -e "Disk:   ${DISK_USAGE}"
+
+    # Docker Containers
+    echo -e "\n${BLUE}Container Status${NC}"
+    echo "----------------------------------------"
+
+    containers=("math-postgres" "math-redis" "math-backend" "math-frontend" "math-nginx" "math-pdf-worker" "math-exercise-worker" "math-notification-worker")
+
+    for container in "${containers[@]}"; do
+        if docker ps | grep -q "$container"; then
+            status=$(docker inspect --format='{{.State.Status}}' "$container" 2>/dev/null)
+            health=$(docker inspect --format='{{.State.Health.Status}}' "$container" 2>/dev/null || echo "no-check")
+
+            if [ "$health" = "healthy" ] || [ "$health" = "no-check" ]; then
+                echo -e "${GREEN}✓${NC} $container (${status})"
+            else
+                echo -e "${YELLOW}⚠${NC} $container (${health})"
+            fi
+        else
+            echo -e "${RED}✗${NC} $container (not running)"
+        fi
+    done
+
+    # Resource Usage per Container
+    echo -e "\n${BLUE}Container Resource Usage${NC}"
+    echo "----------------------------------------"
+    echo -e "Container\tCPU\tMemory\tNet I/O"
+    echo -e "---------\t---\t------\t-------"
+
+    docker stats --no-stream --format "table {{.Name}}\t{{.CPUPerc}}\t{{.MemUsage}}\t{{.NetIO}}" 2>/dev/null | grep math- | head -7
+
+    # Service Health
+    echo -e "\n${BLUE}Service Health${NC}"
+    echo "----------------------------------------"
+
+    # Backend
+    if curl -s http://localhost:3001/health > /dev/null 2>&1; then
+        echo -e "${GREEN}✓${NC} Backend API (http://localhost:3001)"
+    else
+        echo -e "${RED}✗${NC} Backend API (http://localhost:3001)"
+    fi
+
+    # Frontend
+    if curl -s http://localhost:3000 > /dev/null 2>&1; then
+        echo -e "${GREEN}✓${NC} Frontend (http://localhost:3000)"
+    else
+        echo -e "${RED}✗${NC} Frontend (http://localhost:3000)"
+    fi
+
+    # Nginx
+    if curl -s http://localhost:80 > /dev/null 2>&1; then
+        echo -e "${GREEN}✓${NC} Nginx (http://localhost:80)"
+    else
+        echo -e "${RED}✗${NC} Nginx (http://localhost:80)"
+    fi
+
+    # Recent Logs (last 5 lines)
+    echo -e "\n${BLUE}Recent Backend Logs${NC}"
+    echo "----------------------------------------"
+    docker logs --tail=5 math-backend 2>&1 | grep -v "^$" || echo "No logs available"
+
+    # Database Stats
+    echo -e "\n${BLUE}Database Stats${NC}"
+    echo "----------------------------------------"
+    DB_SIZE=$(docker exec math-postgres psql -U mathuser -d mathdb -t -c "SELECT pg_size_pretty(pg_database_size('mathdb'));" 2>/dev/null | xargs || echo "N/A")
+    DB_CONNS=$(docker exec math-postgres psql -U mathuser -d mathdb -t -c "SELECT count(*) FROM pg_stat_activity;" 2>/dev/null | xargs || echo "N/A")
+    echo -e "Database Size: ${DB_SIZE}"
+    echo -e "Active Connections: ${DB_CONNS}"
+
+    # Queue Stats
+    echo -e "\n${BLUE}Queue Stats (Redis)${NC}"
+    echo "----------------------------------------"
+    QUEUE_INFO=$(docker exec math-redis redis-cli -a "${REDIS_PASSWORD:-redis_secure_password_2024}" INFO stats 2>/dev/null | grep -E "total_connections_received|total_commands_processed" | cut -d: -f2 | xargs || echo "N/A")
+    echo -e "Connections: $(echo "$QUEUE_INFO" | head -1)"
+    echo -e "Commands: $(echo "$QUEUE_INFO" | tail -1)"
+
+    # Instructions
+    echo -e "\n${YELLOW}Press Ctrl+C to exit${NC}"
+    echo -e "${YELLOW}Refreshing in 5 seconds...${NC}"
+
+    sleep 5
+done