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Math 2415.S02 Fall 2018 CRN 12395
Math 2415 
Instructor: Dr. Khoury 
Class Day 
Material Covered 
Students' Learning Objectives 
Tuesday August 28 
Introductions 12.1 12.2 

Thursday August 30 
12.3 12.4 
The Dot Product 
Tuesday September 4 
12.5 12.6 
Equations of Lines and Planes Cylinders and Quadric Surfaces 
Thursday September 6 
13.1 13.2 
Vector Functions and Space Curves Derivatives and Integrals of Vector Functions 
Tuesday September 11 
13.3 13.4 
Arc Length and Curvature 
Thursday September 13 
Lab 1  Work in class on Lab 1, Review for Exam 1 
Tuesday September 18 
Exam 1  Take Exam 1 at 1:00 PM  3:00 PM 
Thursday September 20 
Lab 1 is Due 14.1 14.2 
Go over Exam 1 Functions of Several Variables Limits and Continuity 
Tuesday September 25 
14.3 14.4 
Partial Derivatives Tangent Planes and Linear Approximations 
Thursday September 27 
14.5 14.6 
The Chain Rule Directional Derivatives and the Gradient Vector 
Tuesday October 2 
14.7 14.8 
Maximum and Minimum Values Lagrange Multipliers 
Thursday October 4 
Lab 2  Work Lab 2 in Class, Review for Exam 2 
Tuesday October 9 
Exam 2  Take Exam 2 at 1:00 PM  3:00 PM 
Thursday October 11 
Lab 2 is Due 15.1 
Go over Exam 2 Double Integrals over Rectangles 
Tuesday October 16 
15.2 15.3 
Double Integrals over General Regions Double Integrals in Polar Coordinates 
Thursday October 18 
15.4 15.5 
Applications of Double Integrals Surface Area Last day to withdraw this class is October 19 
Tuesday October 23 
15.6 15.7 
Triple Integrals Triple Integrals in Cylindrical Coordinates 
Thursday October 25 
15.8 15.9 
Triple Integrals in Spherical Coordinates Change of Variables in Multiple Integrals 
Tuesday October 30 
Lab 3  Work on Lab 3 in class, Review for Exam 3 
Thursday November 1 
Exam 3  Take Exam 3 at 1:00 PM 
Tuesday November 6 
Lab 3 is Due 16.1 
Go over Exam 3 Vector Fields 
Thursday November 8 
16.2 16.3 
Line Integrals The Fundamental Theorem for Line Integrals 
Tuesday November 13 
16.4 16.5 
Green’s Theorem Curl and Divergence 
Thursday November 15 
16.6 16.7 
Parametric Surfaces and Their Areas Surface Integral 
Tuesday November 20 
16.8 16.9 
Stokes’ Theorem The Divergence Theorem 
Thursday November 22 
No Class  Thanksgiving Holiday 
Tuesday November 27 
Lab 4 
Work in class on Lab 4 in class 
Thursday November 29 
Exam 4  Take Exam 4 at 1:00 PM 
Tuesday December 4 
Final Exam Review 
Go over Exam 4 Final Exam Review 
Thursday December 6 
Final Exam Review  Final Exam Review 
Tuesday December 11 
Lab 4 is Due Final 
Comprehensive Final Exam in class 
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