Instructor: Joel Langer (joel.langer@case.edu); Yost 312; Office Hours TWTh 2:003:00 PM (and by appointment).
Text: Calculus Early Transcendentals Multivariable, Jon Rogawski, Third Edition, Freeman.Schedule: TuTh10:0011:15; Bingham 304.
Exam schedule: There will be three inclass exams (T, Sept 14; Th, Oct 7; Th, Nov 4) and a final exam (T, Dec 7, 3:30  6:30 pm). There will also be frequent quizzes. You must take all tests and quizzes on schedule unless alternative arrangements are made in advance. Failure to take the final examination results in an automatic F in the course; only the Dean of Undergraduate Studies can authorize another arrangement.
Homework: There will be reading and homework assignments based on the text; see table below for due dates. Go to Canvas>Files>Homework for hw1, hw2, etc. Homework should be written in pencil on plain printer paper. Ideally, the assignment should be completed on a printout of the posted assignment; therefore, I strongly encourage you to work out homework on scrap paper before you write out your answers in final form. (Otherwise, write the number and statement of each problem above its solution.) Homework will be collected and scored on a 020 scale, based on clarity, legibility, completeness, and correctness.
Grades: The three inclass exams will each count 10% of the grade and the final exam will count 30%. The remaining 40% of the grade will be based on homework, quizzes and class participation.
Wk  Date  Reading  Topic  Homework 

1  T Aug 24  12.1; 12.2  Vectors in the plane; Three dimensional space:
surfaces, vectors and curves 

Th Aug 26  12.3  Dot product and the angle between two vectors  hw1 due 8/31  
2  T Aug 31  12.4; 12.5  The cross product; Planes in 3space  hw2 due 9/7 
Th Sept 2  12.6; 13.1; 13.2  A survey of quadric surfaces; Calculus of vectorvalued functions  hw3 due 9/7  
3  T Sept 7  13.3; 13.4  Arc length and speed; Curvature  hw4 due 9/14 
Th Sept 9  13.5  Motion in 3space 
hw5 due 9/14  
4  T Sept 14  Midterm Exam 1  hw6 due 9/21  
Th Sept 16  14.1; 14.2  Functions of two or more variables; Limits and continuity 
hw7 due 9/21  
5  T Sept 21  14.3  Partial derivatives  
Th Sept 23  14.4  Differentiability, tangent
planes, and linear approximation 

6  T Sept 28  14.5  The gradient and directional derivatives  
Th Sept 30  14.6  Multivariable calculus chain rules  
7  T Oct 5  14.7  Optimization in several variables  
Th Oct 7  Midterm Exam 2  
8 
T Oct 12 
15.1  Integration in two variables  
Th Oct 14  15.2  Double integrals over more general regions  
9 
T Oct 19 
FALL BREAK  
Th Oct 21  15.3  Triple integrals  
10  T Oct 26  15.4 
Integration in polar, cylindrical and spherical coordinates  
Th Oct 28  15.5  Applications of multiple integrals  
11  T Nov 2  15.6  Change of Variables  
Th Nov 4  Midterm Exam 3  
12  T Nov 9  16.1; 16.2  Vector fields; Line integrals  
Th Nov 11  16.3  Conservative vector fields  
13  T Nov 16  16.4  Parametrized surfaces and surface integrals  
Th Nov 18  THANKSGIVING  
14  T Nov 23  16.5  Surface integrals of vector fields  
Th Nov 25  17.1  Green's Theorem  
15  T Nov 30  17.2 
Stokes' Theorem 

Th Dec 2  17.3  Divergence Theorem  
16  Mon Dec 6  
Tues Dec 7  FINAL EXAM: 3:30  6:30pm. 