This book is aimed at students of higher education institutions. It contains exercises on the theory of curves and the theory of surfaces.

The first chapter (introduction) includes a brief reference to vectors, coordinate systems, and vector functions. These are very useful for the study of this book.

The second chapter discusses the equations of curves and surfaces as well as the problem of the contact between curves and surfaces. The third chapter examines the curves in two-dimensional space, and the fourth chapter covers the curves in three-dimensional space.

Finally, the fifth chapter studies surfaces. We have tried to present the various concepts with simplicity and clarity. The solution of the exercises has been done methodically and thoroughly in presenting the reasoning.

[Excerpt from the text of the preface]