Motivation

• Surface comment growth metrics and recent top teachers/courses on the home page to help monitor activity and trends.

Description

• Added a new UI component components/home-comment-analytics.tsx that renders weekly/monthly trend bars and top-ranked teachers/courses with localized labels and icons.
• Implemented server-side aggregator lib/database/get-home-comment-analytics.ts which queries comment and prof_with_course, builds weekly (toWeekKey) and monthly (toMonthKey) buckets, computes top lists, and returns a HomeCommentAnalytics payload.
• Wired the analytics section into the homepage by importing HomeCommentAnalytics and inserting it in app/page.tsx so the dashboard appears above the comment bank.
• Added caching via unstable_cache with a 30-minute revalidate window and limited time window (last 365 days) for queries to bound DB load.

Testing

• Ran TypeScript check with tsc --noEmit and a next build to validate types and server build, both succeeded.
• No automated unit tests were added for the new aggregation or UI in this change.

Codex Task