Calculus and Analytic Geometry
Calculus and Analytic Geometry MATH 222
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This 1 page Study Guide was uploaded by Zechariah Hilpert on Thursday September 17, 2015. The Study Guide belongs to MATH 222 at University of Wisconsin - Madison taught by Staff in Fall. Since its upload, it has received 23 views. For similar materials see /class/205291/math-222-university-of-wisconsin-madison in Mathematics (M) at University of Wisconsin - Madison.
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Date Created: 09/17/15
Math 222 Summer 2008 First lIidterm Exam July 3 2008 The exam will cover material that is on our published schedule through 104 lote that this is notl necessarily the same as in other semesters I have old exams posted at my website and the mathl library also has old exams from other professors at its website httpmathlibrarywiscedureserve222html where there is a list of professor39s on the left Butl a rst midterm for some other semester may not cover exactly the sanre material In addition to the difference between schedules in the acaderrric rear and the summer session there have beer different textbooks and sometimes rofessors choose to do the material in a different order So will have to judge which problems relate to the material on our exam You are allowed to bring in one sheet ordinary notebook sheet you can use both sides of notes withl whatever you think will be useful written on it There will be some formulas provided for you on this exam where techniques of integration make them particularly useful They will not be on the later exams You can the formula sheet as it appeared on the rst midterm exam I gave this last spring at lrttpwwwmathwiscedu wilson Courses OldExams 222 Spring08 examlpdf where it is thd second page You are allowed to use a calculator including scientific and graphing calculators butl you rrrrrst show our work leadino39 to an answer An answer that 39ust a ears without ex lanatior will not receive credit So the calculator can be useful in working out numeric values but shouldl not be the source of your answers And for numbers something lik 77 is much preferred to 314l It is exact and unambiguous 0 Techniques of Integration l7 Basic formulas Srrbstitrrtiorr including de nite irrtenrals 7 Integration by parts Basic formula repeated use solving for the integrall ntegra s o trig unctions se 0 trig i entities 7 Trio39 substitutions Draw a triangle possible definite integral 7 Numerical integrationl Trapezoidal rule Simpson s rule Problems would have to be simple enough to allow for alculation time Use limits Problem might not be at an end point Tests for convergence withoutl evaluating 7 Find equations for ellipse parabola hyperbola in standard positions from a descriptionl 7 From an equation graph the conic and nd foci or asymptotes directrix for parabola 7 Eccentricity how to calculate and what goes with which curve 7 Getting rid of my term Vlrat angle to use how to change coordinates 7 The discriminant Identifying the curve without rotation 7 Find a parametric description for moving along a curve 7 From a parametric description nd the curve
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