MATH 2110

Multivariable Calculus

Fall 2011

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: MAR 189
Phone: (860) 405-9294
Office Hours: W 2:00 - 3:00 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 9:00 a.m. - 10:45 a.m. Classroom  ACD 106.

                                                      All classes start in ACD 106.

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 12 ,              11:00 a.m. - 12:15a.m.,  Room: ACD 106
                                                        Exam 2:  Wednesday, November 9,           9:00 a.m. - 10:45a.m.,  Room: ACD 106
                                                        Final Exam: Monday, December 12,    9:00a.m. - 11:00 a.m.,  Room: ACD 106

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


Links To Internet Resources:           greenball  Math 2110 LINKS  


                                                      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:                         greenball  Media sites for Avery Point campus weather cancellation information.


 

Date Chapter Topic Homework
Week 1 Mon. 8/29
Campus Closed - No classes

Wed. 8/31 11.1 Review. Vector in the Plane Ch. 11.1: Exercises 12, 26-33





Week 2 Mon. 9/5
Labor Day. No classes

Wed. 9/7 11.2, 11.3 Vectors in 3D. Dot Products Ch. 11.2 Exercises: 29,35-40, 49-53





Week 3 Mon. 9/12 11.3, 11.4 Dot and Cross Product. Ch. 11.3 Exercises: 11,19,20,25,26,34,37,38,39,52

Wed. 9/14 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





Week 4 Mon. 9/19 11.6 Calculus of Vector Valued Functions. Ch. 11.5 Exercises: 9,11,14,21,26,33,34,38,39,43

Wed. 9/21 11.7 Motion in Space. Ch. 11.6 Exercises: 7,8,27-30,41,42,45,46,53,55





Week 5 Mon. 9/26 11.7 Motion in Space. Ch. 11.7 Exercises: 38,41,43,46,60

Wed. 9/28 11.8, 11.9 Length of Curves. Curvature and Normal Vectors. Ch. 11.8 Exercises: 9,10,21,22,29,30,35,46





Week 6 Mon. 10/3 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

Wed. 10/5 12.2, 12.3 Graphs and Level Curves. Limits and Continuity. 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





Week 7 Mon. 10/10 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. 10/12
EXAM 1





Week 8 Mon. 10/17 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

Wed. 10/19 12.8 Maximum/Minimum Problems. Lagrange Multipliers. Ch. 12.8 Exercises: 11,12,17,18,19,20,37,38,53,63





Week 9 Mon. 10/24 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

Wed. 10/26 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





Week 10 Mon. 10/31 13.5 Triple Integrals in Cylindrical and Spherical Coordinates. Ch 13.5 Exercises: 15,16,29,30,39,40,45

Wed. 11/2 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





Week 11 Mon. 11/7
Review

Mon. 11/9
EXAM 2





Week 12 Mon. 11/14 14.1 Vectors Fields. Review of the exam. Ch. 14.1 Exercises: 9,10,16,19,20,37

Wed. 11/16 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 13 Mon. 11/21
Thanksgiving recess.

Wed. 11/23
Thanksgiving recess.





Week 14 Mon. 11/28 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. 11/30 14.6 Surface Integrals.





Week 15 Mon. 12/5 14.7, 14.8 Stokes and Divergence Theorems. Ch. 14.7 Exercises: 18,19,28,29,35,36,39
Ch. 14.8 Exercises: 9,10,15,16,25,26,37
Wed. 12/7
Review





Week 16 Mon. 12/12
Final Exam, 9:00 a.m.-11:00 a.m.


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This page is maintained by Dmitriy Leykekhman 
Last modified: 9/30/2011