This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz A First Course in General Relativity and uses detailed solutions cross-referenced to several introductory and more advanced textbooks to enable self-learners undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz''s textbook this manual guides the reader step-by-step through over 200 exercises with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz''s exercises and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results such as transformation matrices and Christoffel symbols for commonly studied spacetimes in an appendix. Supported by an online table categorising exercises a Maple worksheet and an instructors'' manual this text provides an invaluable resource for all students and instructors using Schutz''s textbook.