John Adamski
Teaching
Music
Math 20300-ST2: Calculus III, Fall 2017
Course Information Sheet, Syllabus
CCNY Math Resources, Demos
First Exam: Thursday 10/12/2017
Second Exam: Thursday 11/16/2017
Final Exam: Tuesday 12/19
SectionNotesSupplemental Exercises (from textbook)Supplemental Solutions
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
11.1Functions of Several Variables5, 7, 9, 13, 15, 22, 23, 24, 28-30Solutions
11.2Limits and Continuity3-15 odd, 19-31 oddSolutions
Exam 1Practice Exam (short version)
Exam 1
Sections 10.1-11.2 (i.e. all sections listed above)Solutions
Solutions
11.3Partial Derivatives3, 7, 9, 13, 17-19, 23, 26, 29, 41, 42, 45, 59, 60, 63, 66, 67, 69, 75Solutions
Extra CreditDue 10/10/2017Differentiable everywhere with discontinuous derivativeSolution
11.4Tangent Planes and Linear Approximations3-6, 11, 17, 19, 20, 25, 27, 29, 30, 33, 34Solutions
11.5The Chain Rule1-9 odd, 13, 16, 17-31 odd, 36, 37, 39Solutions
11.6Directional Derivatives and The Gradient1, 3, 5, 8, 12, 14, 16, 18-21, 26, 27, 29, 32, 36, 39, 42Solutions
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
Exam 2Practice Exam 2 (short version)Sections 11.3-11.7, 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