John Adamski, PhD
Math 20300-LL: Calculus III, Fall 2014
Final Exam Review Session: Friday, 12/19 1-3:30pm in NAC 5/110
Final Exam" Monday, 12/22 1-3:15pm in MR 4 (please arrive 15 minutes early)
(Course Information Sheet, Syllabus, Demos, Tutor Application)
SectionNotesExercisesSolutions
10.1Three Dimensional Coordinate Systems3, 4, 7, 10, 11, 13, 15, 19, 23, 26, 29, 30, 32, 34, 35, 37Solutions
10.2Vectors2, 9, 12, 14, 15, 17, 21, 22, 24, 27, 28, 30, 31, 32, 37, 38Solutions
10.3Dot Product3, 7, 9, 14, 15, 17, 19, 22, 23, 25, 28, 29, 31, 33, 37, 43, 44Solutions
10.4Cross Product1, 9-11, 13, 14, 17, 19, 22, 27, 31, 33, 35, 38, 39, 41, 43, 45Solutions
10.5EQ's of Lines and Planes1, 1-7 odd, 10, 15, 17, 21-35 odd, 39, 41, 47-51 oddSolutions
10.6Cylinders and Quadric Surfaces4, 6, 8, 9, 11, 15, 19, 25, 27, 31, 32Solutions
10.7Vector Functions and Space Curves3, 4, 8, 9, 12, 17-22, 28, 29, 42-45, 47, 51, 54, 57-65 oddSolutions
QuizQuiz 110.1-10.7Solutions
11.1Functions of Several Variables5, 7, 9, 13, 15, 22, 23, 24, 28-30Solutions
11.2Limits and Continuity3-15 odd, 19-31 oddSolutions
11.3Partial Derivatives3, 7, 9, 13, 17-19, 23, 26, 29, 41, 42, 45, 59, 60, 63, 66, 67, 69, 75Solutions
11.4Tangent Planes and Linear Approximations3-6, 11, 17, 19, 20, 25, 27, 29, 30, 33, 34Solutions
BonusExtra Credit #1Due: Thursday, October 30th
11.5The Chain Rule1-9 odd, 13, 16, 17-31 odd, 36, 37, 39Solutions
QuizQuiz 211.1-11.5Solutions
11.6Directional Derivatives and The Gradient1, 3, 5, 8, 12, 14, 16, 18-21, 26, 27, 29, 32, 36, 39, 42Solutions
ExamMidterm Exam10.1-11.6Solutions
11.7Maximums and Minimums3, 7, 11, 13, 23, 25, 31, 35, 37, 41, 44Solutions
12.1Double Integrals over Rectangules15, 19, 21, 25, 29, 32, 33, 39, 43Solutions
12.2Double Integrals over General Regions5, 7, 9, 14, 18, 20, 25-31 odd, 39, 41-43, 47, 50Solutions
12.3Double Integrals in Polar Coordinates1-5, 10-12, 14, 15, 17, 19, 23, 25, 27, 28, 29Solutions
QuizQuiz 311.7, 12.1-12.3Solutions
12.4Applications of Double Integrals2, 3, 5, 8, 13, 15, 16Solutions
13.6Parametric Surfaces (Surface Area)33, 35, 36, 38, 39, 40Solutions
12.5Triple Integrals7, 9, 11, 12, 14, 16, 27, 28, 38, 39, 47, 49Solutions
12.6Triple Integrals in Cylindrical Coordinates3-6, 12, 15, 21-24, 29Solutions
12.7Triple Integrals in Spherical Coordinates5, 6, 9, 19, 20, 21, 22, 24, 26, 28, 37Solutions
8.1Sequences10, 11, 12, 13, 20, 24, 26, 27Solutions
8.2Series8, 9, 11, 16, 21, 24, 35, 37Solutions
8.3The Integral and Comparison Tests8, 9, 10, 22, 24, 25, 26Solutions
8.4Other Convergence Tests3, 7, 8, 19, 27, 29, 33, 35, 36Solutions
QuizQuiz 4 (Due at final exam)12.4-12.7, 13.6, 8.1-8.4Solutions
ExamFinal ExamCumulativeSolutions