Necessary and sufficient conditions for a weak and strong extremum. Legendre transformation, Hamiltonian systems. Constraints and Lagrange multipliers. Space-time problems with examples from elasticity, electromagnetics, and fluid mechanics. Sturm-Liouville problems. Approximate methods.
Emphasizes acquisition of solution techniques; illustrates ideas with specific example problems arising in science and engineering. Includes applications of vector differential calculus, complex variables; line-surface integrals; integral theorems; and Taylor and Laurent series, and contour integration. This is a Graduate level course.
A 2-in-1 value: Thinkwell's Pre-Calculus combines the course materials from Algebra 2 with Trigonometry. It has hundreds of video tutorials and thousands of automatically graded exercises, so your students have all of the pre-calculus math help they need to prepare for Calculus.Thinkwell's Pre-Calculus video tutorials feature award-winning teacher Edward Burger, who has an amazing ability to break down concepts and explain examples step by step. He gives your students all they need to succeed in calculus.