This course is designed to provide initial preparation in mathematics for students who are majoring in, or who intend to major in, the mathematical sciences, computer science, or environmental science. It is also for those in other science programs whose course of study requires advanced mathematical skills and training. A thorough understanding of the topics to be studied in this course will form the essential background for further studies in the mathematical and physical sciences and related fields. The topics to be discussed include solutions of compound statements including absolute value equations and inequalities, rational and radical equations and inequalities, the algebra of functions, modeling with exponential and logarithmic functions, systems of linear equations by the Gaussian and Gauss-Jordan elimination methods, nonlinear systems of equations and inequalities, conic sections and parametric equations, modeling with exponentials and logarithms, sequence and series, the binomial theorem, and mathematical induction. Topics from trigonometry include trigonometric functions and their inverses, graphs, identities and equations, the laws of sines and cosines with applications, polar coordinates and De Moivre’s theorem.