EF4 Mapping one-to-many on existing database without navigation

Question

I'm using ModelBuilder to map an existing database to POCOs. I have courses, students, and meetings. Here are the tables

CREATE TABLE Courses (
    CourseID int,
    Name string)

CREATE TABLE Students(
    StudentID int,
    Name string)

CREATE TABLE Courses_Students (
    CourseID int,
    StudentID int)

CREATE TABLE Meetings (
    MeetingID int,
    CourseID int,
    MeetDate datetime)

And the POCOs

public class Course {
        public int CourseID { get; set; }
        public string Name { get; set; }
        public virtual ICollection<CourseMeeting> Meetings { get; set; }
        public virtual ICollection<Student> Students { get; set; }
}
public class Student {
        public int StudentID { get; set; }
        public string Name { get; set; }
}
public class Meeting {
        public int MeetingID { get; set; }
        public int CourseID { get; set; }
        public DateTime MeetDate { get; set; }
}

The table mapping works great:

modelBuilder.Entity<Course>().MapSingleType().ToTable("Courses");
modelBuilder.Entity<Student>().MapSingleType().ToTable("Students");
modelBuilder.Entity<Meeting>().MapSingleType().ToTable("Meetings");

And the many-to-many mapping with a join table and without a navigation property works (i.e. there is no Students.Courses property specified on WithMany())

modelBuilder.Entity<Course>()
    .HasMany(c => c.Students)
    .WithMany()
    .Map(StoreTableName.FromString("Courses_Students"), 
        (c, s) => new { CourseID = c.CourseID, StudentID = s.StudentID});

But I'm having trouble mapping the other relationship that doesn't have a join table. This obviously isn't right:

modelBuilder.Entity<Course>().HasMany(c => c.Meetings).WithMany();

Because it wants a join table: Invalid object name 'dbo.Course_Meetings'. I can add a Course property to the Meeting object and then use

modelBuilder.Entity<Course>()
    .HasMany(c => c.Meetings)
    .WithOptional(m => m.Course)
    .HasConstraint((c, m) => c.CoursID == me.CourseID);

But I'd like to do this without the navigation property. Is this possible with EF4 and an existing database?