Topics include operations with matrices and determinants, solving of first and second order differential equations, series solutions and applications. Topics include elementary matrices, LU factorization, QR factorization, the matrix of a linear transformation, change of basis, eigenvalues and eigenvectors, solving first-order differential equations and second order linear differential equations and initial value problems. A second course in differential equations. Topics include higher order linear equations, numerical methods, Laplace transforms, linear systems, non-linear systems and stability, and an introduction to partial differential equations and Fourier series. Designed for freshman intending to major in science and engineering.
Descriptive chemistry is included throughout in all developments.
Frequent live demonstrations and classroom computer use emphasize the unifying experimental and theoretical aspects of the subject. Identical to CHEM 115-116 except including a laboratory. The lab introduces experimental chemistry with examples from all areas of chemistry. The experiments range from traditional wet chemistry to modern instrumental analysis. The lab consists of prelab lectures and individual laboratory work .