Algebraic techniques preparatory for calculus are presented. An introduction to calculus. Major topics include functions, the sketching of graphs of functions, limits, continuity, derivatives and applications of the derivative, definite and indefinite integrals, and calculation of area. A study of integration and functions, with application, and coverage of other topics. A presentation of the basic ideas of differential and integral calculus.
Emphasis is on elementary techniques of differentiation, as well as applications.
A study of differential and integral calculus. Emphasis is on elementary techniques of integration and various applications. An explanation of the basic concepts of linear algebra. Topics include vector spaces, applications to line and plane geometry, linear equations, and matrices, as well as linear transformations, changes of basis, diagonalization, similar matrices, Jordan canonical forms, eigenvalues, determinants, and quadratic forms. An introduction to multivariable calculus.