Transcription of MATH 143 Calculus III - Amazon Web Services
1 2019/20 math 143 Calculus III Description math 143 Calculus III 4 units GE Area B1 Prerequisite: math 142 with a grade of C- or better or consent of instructor. Infinite sequences and series, vector algebra , curves. 4 lectures. Crosslisted as HNRS/ math 143. Fulfills GE B1; for students admitted Fall 2016 or later, a grade of C- or better in one GE B1 course is required to fulfill GE Area B. Background or ExperienceMath ObjectivesThe student parametric equations and polar coordinates, and their vector algebra and elementary differential vector able to test infinite series for able to calculate power series and Taylor and References Weir and Hass, Thomas Calculus , Student MaterialsPaper, pencils and University FacilitiesClassroom with ample chalkboard space for class and MethodContentNo.
2 Of Lectures CHAPTER 10 Infinite Sequences and Series13 The goal of the chapter is to develop Taylor Sequences Infinite Series The Integral Test Comparison Tests The Ratio and Root Tests Alternating Series, Absolute and Conditional Convergence Power Series Taylor and Maclaurin Series Convergence of Taylor Series The Binomial Series and Applications of Taylor Series CHAPTER 11 - Parametric Equations and Polar Coordinates 6 Parametrizations of Plane Curves Calculus with Parametric Curves Polar Coordinates Graphing in Polar Coordinates Areas and Lengths in Polar Coordinates CHAPTER 12 - Vectors and the Geometry of Space 6 Three-Dimensional Coordinate Systems Vectors The Dot Product The Cross Product Lines and Planes in
3 Space CHAPTER 13 vector -Valued Functions and Motion in Space 5 Curves in Space and Their Tangents Integrals of vector Functions; Projectile Motion Arc Length in Space Curvature and Normal Vectors of a Curve Tangential and Normal Components of Acceleration Velocity and Acceleration in Polar Coordinates Total 30 of AssessmentThe primary methods of assessment are: essay examinations, quizzes and , there will be one or more hour-long examinations during the quarter, and arequired comprehensive final examination.
