Topics coveredCourse alpha, number, titleMTH 234 Multivariable CalculusRequired or elective RequiredCourse (catalog) descriptionVectors in space. Functions of several variables and partial differentiation. Multiple integrals. Line and surface integrals. Green's and Stokes's theorems.Prerequisite(s) MTH 133 or MTH 153H or LBS 119Textbook(s) and/or other required materialCalculus-Alternate Edition by ThomasClass/Lab schedule: 4 credit hours (3 lectures per week and 1 recitation)Topics covered 1.Vectors and their properties2.Equations of lines and planes3. Arc Length of curves in space4. Functions of several variables and their limits5. Partial derivatives6. Extrema of functions of 2 or 3 variables7. Lagrange multipliers8. Double and triple integrals and their applications9.Integrals in polar form and in cylindrical and spherical coordinates10. line and surface intefrals11. Conservative fields and potential functions12. Green’s Theorem, Stokes’ Theorem and the Divergence TheoremCourse learning objectivesFor the student to be able to:1. Work with functions of several variables2. Use partial derivatives and multiple integrals in applications3. Use line integrals and surface integrals in applications4. Understand Green’s Theorem, Stokes’ Theorem and the Divergence TheoremRelationship of course to XXXprogram outcomesThe following measurement standard is used to evaluate the relationship between the course outcomes and the educational-program outcomes: 3 = Strong Emphasis, 2 = Some Emphasis, 1 = Little or No Emphasis.(a) an ability to apply knowledge of mathematics, science, and engineering—3(b) an ability to design and conduct experiments, as well as to analyze and interpret data—1(c) an ability to design a system, component, or process to meet desired needs—1(d) an ability to function on multi-disciplinary teams—1(e) an ability to identify, formulate, and solve engineering problems—1(f) an understanding of professional and ethical responsibility—1(g) an ability to communicate effectively—1(h) the broad education necessary to understand the impact of engineering solutions in a global/societal context—1(i) a recognition of the need for and the ability to engage in life-long learning—1(j) a knowledge of contemporary issues—1(k) an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice—1(l) design, build, and test in mechanical systems area—1(m) design, build, and test in thermal/fluids area—1(n) application of advanced mathematics—3(o) capstone design experience—1Contribution to professional component: 100% Mathematics and Basic SciencePerson(s) who prepared this descriptionGerald LuddenDate of PreparationJanuary 23,