教学任务按 授课周数 × 周学时 = 课程总学时 双端校验，不匹配会显示具体差额并阻止保存；公共课批量生成同样校验。

排课约束增加课程、教师、学院、授课方式、场地要求、约束状态筛选，并支持批量修改当前筛选结果。
新增“非排时课程”授课方式：不进入自动排课
不占星期、节次和教室
不阻塞课表发布
允许正常选课
在班级课表和学生个人课表中单独展示

src/Jiaowu.Api/Controllers/TeachingTasksController.cs

@@ -76,9 +76,11 @@ public sealed class TeachingTasksController(
                 CollegeName = x.Course.College!.Name,
                 x.Capacity,
                 x.StartWeek,
-                x.EndWeek,
-                x.WeeklyHours,
-                x.GenerationBatchCode,
+                 x.EndWeek,
+                 x.WeeklyHours,
+                 x.SchedulingMode,
+                 CourseTotalHours = x.Course.TotalHours,
+                 x.GenerationBatchCode,
                 x.Status,
                 TeacherNames = x.Teachers
                     .OrderByDescending(item => item.IsPrimary)
@@ -114,9 +116,11 @@ public sealed class TeachingTasksController(
                 CollegeName = x.Course.College!.Name,
                 x.Capacity,
                 x.StartWeek,
-                x.EndWeek,
-                x.WeeklyHours,
-                x.GenerationBatchCode,
+                 x.EndWeek,
+                 x.WeeklyHours,
+                 x.SchedulingMode,
+                 CourseTotalHours = x.Course.TotalHours,
+                 x.GenerationBatchCode,
                 x.Status,
                 x.Notes,
                 x.PublishedAt,
@@ -170,9 +174,10 @@ public sealed class TeachingTasksController(
             CourseId = request.CourseId,
             Capacity = request.Capacity,
             StartWeek = request.StartWeek,
-            EndWeek = request.EndWeek,
-            WeeklyHours = request.WeeklyHours,
-            Notes = Normalize(request.Notes)
+             EndWeek = request.EndWeek,
+             WeeklyHours = request.WeeklyHours,
+             SchedulingMode = request.SchedulingMode,
+             Notes = Normalize(request.Notes)
         };
         SetAssignments(task, request);
         db.TeachingTasks.Add(task);
@@ -203,9 +208,10 @@ public sealed class TeachingTasksController(
         task.CourseId = request.CourseId;
         task.Capacity = request.Capacity;
         task.StartWeek = request.StartWeek;
-        task.EndWeek = request.EndWeek;
-        task.WeeklyHours = request.WeeklyHours;
-        task.Notes = Normalize(request.Notes);
+         task.EndWeek = request.EndWeek;
+         task.WeeklyHours = request.WeeklyHours;
+         task.SchedulingMode = request.SchedulingMode;
+         task.Notes = Normalize(request.Notes);
         db.TeachingTaskTeachers.RemoveRange(task.Teachers);
         db.TeachingTaskClasses.RemoveRange(task.Classes);
         task.Teachers = [];
@@ -342,8 +348,14 @@ public sealed class TeachingTasksController(
             .FirstOrDefaultAsync(
                 x => x.Id == request.CourseId && x.IsEnabled,
                 cancellationToken);
-        if (course is null) return ValidationProblem("所选课程不存在或已停用。");
-        if (!CanManage(course)) return Forbid();
+         if (course is null) return ValidationProblem("所选课程不存在或已停用。");
+         if (!CanManage(course)) return Forbid();
+         var hoursProblem = TeachingTaskHours.Validate(
+             course,
+             request.StartWeek,
+             request.EndWeek,
+             request.WeeklyHours);
+         if (hoursProblem is not null) return ValidationProblem(hoursProblem);
         if (course.Nature is not (CourseNature.GeneralRequired or CourseNature.GeneralElective))
             return ValidationProblem("批量合班生成仅用于公共必修课或公共选修课。");
         var scopedCollegeId = ScopedCollegeId();
@@ -501,9 +513,17 @@ public sealed class TeachingTasksController(
             return ValidationProblem("开始周不能晚于结束周。");
         var course = await db.Courses.AsNoTracking()
             .FirstOrDefaultAsync(x => x.Id == request.CourseId && x.IsEnabled, cancellationToken);
-        if (course is null) return ValidationProblem("所选课程不存在或已停用。");
-        if (!CanManage(course)) return Forbid();
-        var collegeId = ScopedCollegeId();
+         if (course is null) return ValidationProblem("所选课程不存在或已停用。");
+         if (!CanManage(course)) return Forbid();
+        if (!Enum.IsDefined(request.SchedulingMode))
+            return ValidationProblem("授课方式无效。");
+        var hoursProblem = TeachingTaskHours.Validate(
+            course,
+            request.StartWeek,
+            request.EndWeek,
+            request.WeeklyHours);
+        if (hoursProblem is not null) return ValidationProblem(hoursProblem);
+         var collegeId = ScopedCollegeId();
         if (!await db.AcademicTerms.AnyAsync(
                 x => x.Id == request.AcademicTermId && x.IsEnabled,
                 cancellationToken))
@@ -695,11 +715,12 @@ public sealed record TeachingTaskRequest(
     [Range(1, 10000)] int Capacity,
     [Range(1, 30)] int StartWeek,
     [Range(1, 30)] int EndWeek,
-    [Range(1, 40)] int WeeklyHours,
-    IReadOnlyCollection<Guid> TeacherIds,
-    Guid? PrimaryTeacherId,
-    IReadOnlyCollection<Guid> ClassIds,
-    [MaxLength(500)] string? Notes);
+     [Range(1, 40)] int WeeklyHours,
+     IReadOnlyCollection<Guid> TeacherIds,
+     Guid? PrimaryTeacherId,
+     IReadOnlyCollection<Guid> ClassIds,
+     [MaxLength(500)] string? Notes,
+     TeachingTaskSchedulingMode SchedulingMode = TeachingTaskSchedulingMode.Standard);
 
 public sealed record PublicCourseTaskGenerationRequest(
     Guid AcademicTermId,