Course Description: Applications chosen from the life sciences, including population, decay, growth models, stability, and matrix methods. Volumes of solids, integration techniques, difference/differential equations.
Prerequisites: A grade of C or higher in MATH 155: Calculus for the Life Sciences I
Student Learning Outcomes: Upon successful completion of this course, the student will be able to:
· Calculate antiderivatives yielding certain algebraic, rational, exponential, logarithmic, trigonometric functions.
· Interpret the definite integral analytically and geometrically.
· Demonstrate an understanding of the Fundamental Theorem of Calculus.
· Solve basic area problems using definite integrals.
· Use the standard techniques of integration such as integration by substitution, parts, and partial fractions.
· Apply numerical integration techniques and understand the advantages or disadvantages of the different methods.
· Calculate volumes of solids of revolution and evaluate improper integrals.
· Compute various matrix calculations including solving linear systems, addition/subtraction, multiplication, determinants, inverses, eigenvalues and eigenvectors.
· Use discrete dynamical systems and matrix methods to model long term trends in stratified populations.
· Solve a variety of ordinary differential equations including separable, linear first-order, linear and nonlinear systems.
· Use ordinary differential equations to solve application problems.
- Teacher: Weld Kathryn