A brief introduction to the concepts of calculus and its applications to social and scientific fields. Topics include: functions and models, derivatives of algebraic and exponential functions, optimization problems, antiderivatives, and the concept of integrals. This is the second semester of the college math sequence designed for students interested in Biology and Life Sciences. This course fulfills the general education core requirements for Biology and Life Sciences majors who matriculated prior to Fall 2012 and has been approved by University Studies Curriculum for students matriculating in Fall 2012 or later.

An introduction to ordinary differential equations and their analysis. Topics cover first order linear and nonlinear ordinary differential equations, second order and higher order homogeneous and nonhomogeneous linear differential equations, the linear system of ordinary differential equations, qualitative analysis, numerical solutions, series solutions.

Analytic functions, differentiation, integration, conformal mapping, calculus of residues and infinite series.

Numerical methods for solving parabolic, hyperbolic, and elliptic partial differential equations. The course will emphasize the concepts of consistency, convergence and stability. Topics include: implicit and explicit methods, truncation error, Von Newmann stability analysis, and the Lax equivalence theorem.

Numerical methods for solving parabolic, hyperbolic, and elliptic partial differential equations. The course will emphasize the concepts of consistency, convergence and stability. Topics include: implicit and explicit methods, truncation error, Von Newmann stability analysis, and the Lax equivalence theorem.