Instructor: Joel Langer (joel.langer@case.edu); Yost 312; Office Hours TWTh 2:00--3:00 PM (and by appointment).
Text: Calculus Early Transcendentals Multivariable, Jon Rogawski, Third Edition, Freeman.Schedule: TuTh10:00--11:15; Bingham 304.
Exam schedule: There will be three in-class 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 0-20 scale, based on clarity, legibility, completeness, and correctness.
Grades: The three in-class 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 3-space | hw2 due 9/7 |
| Th Sept 2 | 12.6; 13.1; 13.2 | A survey of quadric surfaces; Calculus of vector-valued 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 3-space |
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. | |||