Common use of Calculus Clause in Contracts

Calculus. The world around us is constantly changing. Calculus is the branch of mathematics that has been developed to study changes. Therefore, the competencies acquired through the successful study of calculus provide mathematicians, scientists and other professionals the tools for understanding the changes that occur in their disciplines which, in turn, enables them to solve problems in their disciplines. The following competencies have been identified as essential for comparable preparation in this content area: Competency 1: Utilize the concept of limit. Competency 2: Differentiate functions. Competency 3: Use differential calculus to sketch curves and to solve applied problems. Competency 4: Integrate functions by approximation and by use of anti-derivatives. Competency 5: Use integral calculus to determine area and to solve applied problems. Competency 6: Differentiate and integrate using transcendental functions. Competency 7: Integrate functions using special methods. Competency 8: Relate the functional and geometric properties of conic sections, curves given in parametric form, and polar curves. Competency 9: Use vectors to solve 2-space and 3-space geometrical problems. Competency 10: Use vector-valued functions to describe motion in space. Competency 11: Find partial derivatives of functions of two or more variables. Competency 12: Use partial differentiation to solve applied problems. Competency 13: Evaluate multiple integrals. Competency 14: Use multiple integrals to solve applied problems. Competency 15: Use techniques of vector analysis. Competency 16: Test infinite series for convergence or divergence. See Appendix B: Competencies for Preparation in Calculus. Historically, these competencies commonly have been found in courses such as Calculus I (4 credits), Calculus II (4 credits) and Calculus III (4 credits). However, each associate institution may determine the format in which the competencies are presented.