If I were to recommend one textbook that will help students in this course it would obviously be the "Theory of Elasticity" by Timoshenko and Goodier. But you could have found that out by simply looking at the course syllabus, so I will also recommend the following books that are helpful in other areas of the course: "Mathematical Phyiscs" by Kusse and Westwig, "Mechanics of Materials" by Beer and Johnson, and "Advanced Engineering Mathematics" by Greenberg.
I recommend "Theory of Elasticity" mainly because it covers most of the material in lectures, but I had difficulty remembering all the math invovled as well as understanding some of the main principles. So I picked up "Mechanics of Materials", which is a book I used as an undergrad. It is an introductory book that helped me understand the basic concepts of strains and stress as I reviewed the first 7 or 8 chapters. I was very new to tensors and index notation, which I learned from the first 4 chapters of "Mathematical Physics". Finally I would recommend "Advanced Engineering Mathematics" for those interested in reviewing Fourier Series, Separation of Variables, and other mathematical problems.
All the books I mentioned are available in the reserves.
"Theory of Elasticity" Timoshenko and Goodier
"Mechanics of Materials" Beer and Johnson
"Mathematical Principles" Kusse and Westwig
"Advanced Engineering Mathematics" Greenberg