Short answer
You'll need a small sketchbook with a spiral binding, a hole punch, some soft flannel or felt, fabric scraps, embroidery threads and needles, a basic sewing machine (you only need straight stitch - nothing fancy), some bulldog or quilting clips, thin card, scalpel, ruler, cutting mat, pencil, bradawl or large needle - a knitting needle is ideal.
Longer answer
You may also want some collage papers, acrylic matt medium and paint, a brush, and - only if you have it already - a spiral binding gadget and new spiral wires, wire cutter.
There's a full list of requirements in the course, but I encourage you to use what you already have if possible.