How to save the value from a method into the db?

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C#

WPF

MySQL

MVVM

Hello,
I am currently struggling with ideas on how to save the value from a method into the database.My method is this:

foreach (var item in Courses)
                 {

                     if (item.IsChecked)
                     {
                         SelectedCourses.Add(item);

                     }

Now here i'm getting the value from the checkbox into a collection called "SelectedCourses".This has one to many courses,so the lecturer can select 3 courses for e.g but the actual value stored is "courseName".I have a method that saves all the values,and it works except for the courseName because I have no idea how to save multiple "courseName" into database since I have no idea how the sintax may look like.This is the save method:

<pre>  public void SaveTeacher(object param)
        {

            int num = 0;
            using (DatabaseStudentsEntitiesLastStand db = new DatabaseStudentsEntitiesLastStand())
            {
                using (var transaction = db.Database.BeginTransaction())
                {
                    try
                    {
                        RegisterTeacher c = new RegisterTeacher();
                        c.SNTeacher = SNTeacher;
                        c.UserName = _UserName;
                        c.pwd = pwd;
                        c.fullName = fullName;
                        c.education = education;
                        db.RegisterTeachers.Add(c);
                        SelectedCourses = new ObservableCollection<Cours>();
                        foreach (var item in Courses)
                        {

                            if (item.IsChecked)
                            {
                               courseName=item.courseName;
                                SelectedCourses.Add(item);
                                db.Courses.AddRange(SelectedCourses);

                            }
                        }

                        num = db.SaveChanges();
                        transaction.Commit();



                    }
                     


                    catch (Exception e)
                    {
                        transaction.Rollback();
                    }
                }
               
            }
        }

And this is the delegatecommand along with the binding in the view:

saveCommand = new DelegateCommand(SaveTeacher);
 private DelegateCommand saveCommand;
        public DelegateCommand SaveCommand
        {
            get { return saveCommand; }
            set
            {
                if (saveCommand != value)
                {
                    saveCommand = value;
                    NotifyOnPropertyChange("SaveCommand");
                }
            }
        }

<pre> <Button Content="Submit" Command="{Binding Path=SaveCommand,Mode=TwoWay}" CommandParameter="{Binding ElementName=coursesList}"  HorizontalAlignment="Left" Margin="517,98.4,0,0" Grid.Row="3" VerticalAlignment="Top" Width="110" Height="40"/>

What I have tried:

.