1.1 Scalar, Vector, Matrix, and Tensor Definitions1.2 Index Notation1.3 Kronecker Delta and Alternating Symbol1.4 Coordinate Transformations1.5 Cartesian Tensors1.6 Principal Values and Directions for Symmetric Second-Order Tensors1.7 Vector, Matrix, and Tensor Algebra1.8 Calculus of Cartesian Tensors1.9 Orthogonal Curvilinear CoordinatesExercises