University of Rhode Island MTH243: Multivariable Calculus
Summer 2019
General Information
Course Goals
Course Schedule
Documents






Some level sets

Schedule

Here is an approximate timetable showing the planned schedule for the course. The course may be slightly ahead or behind this schedule - all changes will be announced in class.

Week beginningTopicsSuggested Problems
20th May12.1: Functions of Two Variables
12.2: Graphs and Surfaces
12.3: Contour Diagrams
12.4: Linear Functions
12.5: Functions of Three Variables
13.1: Displacement Vectors
13.2: Vectors in General		(12.1) 1,2,3,4,6,7,9,10,11,13,18,20,21,24,28,35
(12.2) 2,3,4,5,7,8,11,12,13,15,16,17,23,24,26
(12.3) 1,2,3,4,5,7,8,9,11,14,16,17,28
(12.4) 1,2,3,5,7,8,9,10,13,21,22,23
(12.5) 1,2,3,4,5,6,12,15
(13.1) 1,2,3,5,6,7,9,11,15,17,21,25,27,28,30,31,32
(13.2) 6,7,9,10,11,13,15,17,25
27th May27th May is Memorial Day - no class.
Memorial Day Make-up Day is Friday 31st May
Exam 1 (05/28)
13.3: The Dot Product
13.4: The Cross Product
14.1: The Partial Derivative
14.2: Computing Partial Derivatives Algebraically
14.3: Local Linearity and the Differential
14.4: Directional Derivatives in the Plane
14.5: Directional Derivatives in Space


(13.3) 1,3,5,6,7,11,13,15,17,19,21,22,23,25,27,33,39,43,47
(13.4) 1,3,5,7,13,14,15,20,23,29,30
(14.1) 1,3,4,5,6,7,8,10,11,13,14,15
(14.2) 2,3,5,7,9,11,13,17,26,31,32,39,40,49
(14.3) 2,3,5,11,13,17,21,22,25
(14.4) 1,5,7,9,15,19,23,25,27,33,36,37,51,66,74
(14.5) 3,5,17,18,19,21,25,28,30,33,57,58,61
3rd JuneExam 2 (06/03)
14.6: The Chain Rule
14.7: Second-Order Partial Derivatives
15.1: Critical Points
15.3: Lagrange Multipliers (read only)
16.1: Integrating Functions of Two Variables
16.2: Iterated Integrals
(14.6) 3,7,11,16,19,21,25
(14.7) 1,3,23,27,41
(15.1) 1,3,4,5,9,12,15,17,21,25,32,33
(15.3) Notes
(16.1) 1,7,9,11,17,19,21,25
(16.2) 1,3,5,7,13,15,17,19,28,30,33,34,39,40,45,46
10th JuneExam 3 (06/10)
16.3: Triple Integrals
16.4: Double Integrals in Polar Coordinates
16.5: Integrals in Cylindrical and Spherical Coordinates
17.1: Paramaterized Curves
17.2: Motion, Velocity, and Acceleration
17.3: Vector Fields
(16.3) 1,2,5,7,9,11,13,31,32,37,39,50
(16.4) 1,2,3,4,9,11,12,19,21,29,31
(16.5) 1,3,5,9,11,19,21,22,23,73,74
(17.1) 1,2,3,4,5,6,7,9,11,19,21,23,25,27,33,35,39,40
(17.2) 1,3,5,7,9,11,13,14,26,28
(17.3) 1,2,3,4,5,6,7,8,10,11,13,15,17,21,22,23,24
17th June18.1: The Idea of a Line Integral
18.2: Line Integrals over Paramaterized Curves
18.3: Gradient Fields and Path-Independent Fields
18.4: Path-Dependent Fields and Green's Theorem
Final Exam JUNE 20		(18.1) 1,2,3,4,5,7,8,9,11,27
(18.2) 1,2,3,4,5,7,8,12,14,16,22,33
(18.3) 1,3,13,14,17,19,24,31,32
(18.4) 1,2,3,5,6,11,12,13,14,15