change boolean in ajax in asp.net mvc

I want to write a ajax for my view so that if I change the the check box, The RegisterSituation of rows that were chosen is changed in database. my Model is:

public class OstadCourse
    {
        [Key]
        
        public int OstadCourseId { get; set; }

       
        public int OstadId { get; set; }

        public bool RegisterSituation { get; set; }

        
        public string OstadName { get; set; }

        
        public string OstadFamily { get; set; }

        public string Title { get; set; }
        
        public int CourseId { get; set; }
        
    }

My View is:(I have tried to add ajax to end of following view, but when I change checked to unchecked, it is send null to controller) How can I write ajax so that change RegisterSituation of rows that change

@model IEnumerable<DataLayer.OstadCourse>

@{
   ...
    var courses = Model.Select(x => new { x.CourseId, x.Title }).Distinct();
    var selectedCourseId = Request["selectedCourseId"];
    var filteredCourses = String.IsNullOrEmpty(selectedCourseId) ? Model : Model.Where(x => x.CourseId == int.Parse(selectedCourseId));
    ...
}

<form>
    
    <div class="row">
        
        <div class="col-md-4 mb-3 mb-md-0">
            @Html.DropDownList("selectedCourseId", new SelectList(courses, "CourseId", "Title", selectedCourseId), "-- All --", new { @class = "form-control", style = "padding: 0.375rem .75rem;", onchange = "this.form.submit()" })
        </div>
    </div>

    <table class="gridtable">
        <thead>
            <tr>
                <th>Select</th>
                <th>Name</th>
                <th>Family</th>
            </tr>
        </thead>
        <tbody>
            @foreach (var item in filteredCourses)
            {
                <tr>
                    <td>
                        <input type="checkbox" class="rowCheckbox" name="selectedIDs" value="@item.OstadCourseId" @(item.RegisterSituation ? "checked" : "")  />
                    </td>
                    <td>@item.OstadName</td>
                    <td>@item.OstadFamily</td>
                </tr>
            }
        </tbody>
        
    </table>

</form>