Multivariable Calculus

Fall 2013

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: ACD 114A
Phone
: (860) 405-9294

Office Hours
: W 3:05 - 4:05 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Monday, Wednesday, and Friday.

General Information:

MATH 2110 is the continuation of MATH 1131 and MATH 1132 and covers the following major topics: vectors and vector valued functions, functions of several variables, vector calculus.

Class Meeting Times/Place: Monday, Wednesday 1:20 p.m. - 3:05 p.m. Classroom  ACD 301.

All classes start in ACD 301.

Textbooks:                          Required: Calculus: Early Transcendentals, by Briggs and Cochran

Homework Policy:

Homework is assigned every class and collected every Wednesday. They are returned the following Monday with remarks and graded. The total weight of the homework grades is 150 point of the total 500 course points.

Exam Schedule:                    Exam 1:  Wednesday, October 2 ,              1:20 p.m. - 3:05p.m.,  Room: ACD 301

Exam 2:  Wednesday, October 30,           1:20 p.m. - 3:05p.m.,  Room: ACD 301

Final Exam: Monday, December 11,          1:00p.m. - 3:00 p.m.,  Room: ACD 301

Grading Policy:                        Homework: 150, Exam 1: 100, Exam 2: 100, Final Exam: 150.

Approximate schedule is below.

Please note: I am planning to cover most of the Chapters 11-14.
It is assumed that the students are familiar with Chapter 1-10.

Weather Cancellation:                           Media sites for Avery Point campus weather cancellation information.

 Date Chapter Topic Homework Week 1 Mon. 8/26 11.1 Review. Vector in the Plane. Ch. 11.1: Exercises 12, 26,27,28,29,30,31,32,33 Wed. 8/28 11.2, 11.3 Vectors in 3D. Dot Products. Ch. 11.2 Exercises: 29,35,36,37,38,39,40,49,50,51,52,53 Week 2 Mon. 9/2 Labor Day. No classes Wed. 9/4 11.3, 11.4 Dot and Cross Products. Ch. 11.3 Exercises: 11,19,20,25,26,34,37,38,39,52 Week 3 Mon. 9/9 11.4, 11.5 Cross Product. Lines and Curves in Space. Ch. 11.4 Exercises: 11,12,21,22,29,30,41,42,43,54,55 Wed. 9/11 11.6 Calculus of Vector Valued Functions. Ch. 11.5 Exercises: 9,11,14,21,26,33,34,38,39,43 Week 4 Mon. 9/16 11.7 Motion in Space. Ch. 11.6 Exercises: 7,8,27-30,41,42,45,46,53,55 Wed. 9/19 11.7 Motion in Space. Ch. 11.7 Exercises: 38,41,43,46,60 Week 5 Mon. 9/23 11.8, 11.9 Length of Curves. Curvature and Normal Vectors. Ch. 11.8 Exercises: 9,10,21,22,29,30,35,46 Wed. 9/25 11.9, 12.1 Curvature and Normal Vectors. Planes and Surfaces. Ch. 11.9 Exercises: 15,16,24,25,29,30,39,40,43,49 Ch. 12.1 Exercises: 11,12,15,16,19,20,23,29,25,29,30,61 Week 6 Mon. 9/30 12.2, 12.3 Graphs and Level Curves. Limits and Continuity. Review. Ch. 12.2 Exercises: 2,3,4,19,20,22,27,44,45 Ch. 12.3 Exercises: 8,9,13,14,17,18,19,20,27,28,50,51 Wed. 10/2 EXAM 1 Week 7 Mon. 10/7 12.4, 12.5 Chain Rule. Partial Derivatives. Review Ch. 12.4 Exercises: 9,10,11,12,26,47,54 Ch. 12.5 Exercises: 9,10,11,12,23,24,35,45,46,58 Wed. 10/9 12.6,12.7 Directional Derivatives and the Gradient. Tangent Planes and Linear Approximation. Ch. 12.6 Exercises: 15,16,21,22,45,46,57,70 Ch. 12.7 Exercises: 9,10,15,16,21,22,27,28,31,41,54 Week 8 Mon. 10/14 12.8 Maximum/Minimum Problems. Lagrange Multipliers. Ch. 12.8 Exercises: 11,12,17,18,19,20,37,38,53,63 Wed. 10/16 13.1, 13.2 Double Integrals over Rectangular and General Regions. Ch. 13.1 Exercises; 9,10,15,16,21,22,29,41,42 Ch. 13.2 Exercises: 9,10,13,14,35,36,43,44,52,53 Week 9 Mon. 10/21 13.3, 13.4 Double Integrals in Polar Coordinates. Triple Integrals. Ch. 13.3 Exercises; 9,10,19,20,22,23,35,36 Ch. 13.4 Exercises: 9,10,19,21,23,35,36 Wed. 10/23 13.5 Triple Integrals in Cylindrical and Spherical Coordinates Ch 13.5 Exercises: 15,16,29,30,39,40,45 Week 10 Mon. 10/28 13.6, 13.7 Integrals for Mass Calculations. Change of Variables. Ch. 13.6 Exercises; 17,18,22,23,45,46 Ch. 13.7 Exercises: 8,9,13,14,27,28,42,43 Wed. 10/30 EXAM 2 Week 11 Mon. 11/4 14.1 Vectors Fields. Review of the exam. Ch. 14.1 Exercises: 9,10,16,19,20,37 Wed. 11/6 14.2, 14.3 Line Integrals. Conservative Vector Fields. Ch. 14.2 Exercises: 13,14,23,24,25,26,31,47 Ch. 14.3 Exercises: 11,12,17,18,19,20,28,39 Week 12 Mon. 11/11 14.4, 14.5 Green's Theorem. Divergence and Curl. Ch. 14.4 Exercises: 13,14,19,20,25,26,31,32 Ch. 14.5 Exercises: 11,12,17,18,31,32,35,36 Wed. 11/13 14.6 Surface Integrals. Ch. 14.6 Exercises: Week 13 Mon. 11/18 14.7 Stokes Theorem. Ch. 14.7 Exercises: 18,19,28,29,35,36,39 Wed. 11/20 14.8 Divergence Theorem. Ch. 14.8 Exercises: 9,10,15,16,25,26,37 Week 14 Mon. 11/25 Thanksgiving recess. Wed. 11/27 Thanksgiving recess. Week 15 Mon. 12/2 Review. Wed. 12/4 Review. Week 16 Mon. 12/9 Wed. 12/11 Final Exam, 1:00 p.m.-3:00 p.m.