Final Exam Review - First year Interest Group Seminar | N 1, Exams of Health sciences

Download Final Exam Review - First year Interest Group Seminar | N 1 and more Exams Health sciences in PDF only on Docsity! Review Sections at UTLC Final Exam Review for M408D November 29 - December 2 Mon/Tue/Wed/Thur 5:00 - 6:15 p.m. Students will need to come to the UTLC, Mon-Fri, 9-5 to sign up. Review Questions Indeterminate forms, L’Hospital’s rule, and Improper Inte- grals What is L’Hospital’s rule and when can you apply it? What are each of the indeterminate forms? And what does it mean to be in an indeterminate form? What is ∫ 5 3 x x2−16? Why is that an improper integral? What is a more common improper integral? Series Name several series that converge and several that diverge. What is conditional convergence? How about absolute divergence? Why does the series ∑∞ i=1 1 n diverge? Why does ∑∞ i=1 1 n2 converge? What are the test one can use to see if a series converges or diverges? (When are these tests inconclusive?) Why can’t the comparison test be used for showing that ∑∞ i=1 n n2+5 diverges? What test(s) can we use? (Chapter 12.7 1 is a good review if you feel shaky.) What is a power series? What is a Taylor Series? What is a radius of convergence? Parametric Coordinates How do you graph x(t) = t2, y(t) = t− 1? What is arc length? How is it computed? Give an example of something that is a parametric function that could not be written in the form y = f(x)? Polar Coordinates How do you graph r(θ) = 5 + 3 sin 4θ? What’s the range? When is r=0? When is r maximal? Does this graph have any symmetry? Math in 3-D with Vectors What is the distance form in 3-D? How do you add two vectors? Subtract two vectors? What is a scalar? How is this different from a vector? What’s a dot product? What’s a cross product? And what does each represent? What’s normal vector to a plane? How does this fit into the equation of a plane? What’s the equation for a line look like? 2