1 Course alpha, number, title MTH 133—Calculus II Required or elective Required Course (catalog) description Application of the integral and methods of integration, improper integrals, polar coordinates and parametric curves, sequences and series, power series. Prerequisite(s) (MTH 132) or (MTH 152H) Textbook(s) and/or other required material Thomas’ Calculus Alternate Edition George B. Thomas Jr. and Ross L. Finney, Addison Wesley, (2003) Class/Lab schedule: 4 credit hours [3 lectures 1 recitation/week] Topics covered 1.Volumes of solids, length of curves and work 2. Natural logarithm and its derivative 3. Inverse Function Theorem 4. Exponential function, its derivative and integral 5. Growth and decay 6. L’Hôpital’s rule and relative rates of growth 7. Inverse trigonometric functions and their derivatives 8. Hyperbolic functions 9. First order separable differential equations 10. Integration by parts 11. Partial fractions 12. Trigonometric substitutions 13. Use of tables and computers to find integrals 14. Improper integrals 15. Limits of sequences 16. Infinite series and the Geometric Series Theorem 17. The Integral Test 18. Comparison Tests 19. The Ratio Test and Absolute convergence 20. Power series and Taylor series 21. Binomial Series Theorem 22. Calculus of parametric equations 23. Polar coordinates and graphing polar equations 24. Integration in polar coordinates Course learning objectives For the student to be able to: 1. understand applications of the definite integral 2. compute derivatives and integrals involving logarithmic, exponential and inverse trigonometric functions 3. begin to understand differential equations as mathematical modeling 4. use advanced techniques of integration 5. compute limits of sequences 6. determine if an infinite series converges or diverges 7. express known functions as power series 8, express unknown functions as power series and find the radius of convergence of the series 9. express curves as parametric equations and use the equations to compute properties of the curve 10. Plot graphs of polar equations and compute areas of regions bounded by such graphs Relationship of course to XXX program The 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.2 outcomes (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—2 (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—1 (o) capstone design experience—1 Contribution to professional component: 100% Mathematics and Basic Science Person(s) who prepared this description Professor Clifford E. Weil Date of Preparation January 22,