diff --git a/src/frontend/apps/calendars/src/hooks/useIsMobile.ts b/src/frontend/apps/calendars/src/hooks/useIsMobile.ts
new file mode 100644
index 0000000..019e840
--- /dev/null
+++ b/src/frontend/apps/calendars/src/hooks/useIsMobile.ts
@@ -0,0 +1,23 @@
+import { useSyncExternalStore } from "react";
+
+export const MOBILE_BREAKPOINT = 768;
+
+const MEDIA_QUERY = `(max-width: ${MOBILE_BREAKPOINT}px)`;
+
+function subscribe(callback: () => void): () => void {
+  const mql = window.matchMedia(MEDIA_QUERY);
+  mql.addEventListener("change", callback);
+  return () => mql.removeEventListener("change", callback);
+}
+
+function getSnapshot(): boolean {
+  return window.matchMedia(MEDIA_QUERY).matches;
+}
+
+function getServerSnapshot(): boolean {
+  return false;
+}
+
+export function useIsMobile(): boolean {
+  return useSyncExternalStore(subscribe, getSnapshot, getServerSnapshot);
+}
diff --git a/src/frontend/apps/calendars/src/utils/date.ts b/src/frontend/apps/calendars/src/utils/date.ts
new file mode 100644
index 0000000..303d426
--- /dev/null
+++ b/src/frontend/apps/calendars/src/utils/date.ts
@@ -0,0 +1,31 @@
+export function isSameDay(a: Date, b: Date): boolean {
+  return (
+    a.getFullYear() === b.getFullYear() &&
+    a.getMonth() === b.getMonth() &&
+    a.getDate() === b.getDate()
+  );
+}
+
+export function isToday(date: Date): boolean {
+  return isSameDay(date, new Date());
+}
+
+export function isWeekend(date: Date): boolean {
+  const day = date.getDay();
+  return day === 0 || day === 6;
+}
+
+export function addDays(date: Date, days: number): Date {
+  const d = new Date(date);
+  d.setDate(d.getDate() + days);
+  return d;
+}
+
+export function getWeekStart(date: Date, firstDayOfWeek: number): Date {
+  const d = new Date(date);
+  d.setHours(0, 0, 0, 0);
+  const dayOfWeek = d.getDay();
+  const diff = (dayOfWeek - firstDayOfWeek + 7) % 7;
+  d.setDate(d.getDate() - diff);
+  return d;
+}