MTH 212 Multivariate Calculus (Fall 2021):

This course studies differential and integral calculus of real and vector-valued functions. Topics include vectors and vector-valued functions; functions of several variables, limits, continuity, partial differentiation, gradient; line, surface, and multiple integrals; vector fields and theorems of Green and Stokes.

Week | Sections for Reading and
| Suggested Problems for Practice
| Class Materials and Assignments

8/30 § 11.1: exer. 1,5,11,13,17,21,25,31,33,35,39,45,47,
51,59,61,65,69

§ 11.2: exer. 1,5,9,13,15,17,21,23,25,29,31,33,35,39,41,
43,45,49,51
Lecture notes §11.1
Lecture notes §11.2

Read Mathematica tutorials (find links above)

Common Math Errors

Some trig integrals review

Demo on 3-space: Mathematica notebook

9/6 No class on Monday (Labor Day)

§ 11.3: exer. 1,5,7,9,13,15,19,23,25,29,31,43,45

§ 11.4: exer. 3,7,9,13,17,21,23,27,29,31,33,37,39,43,47
Lecture notes §11.3
Lecture notes §11.4

Summary: Dot Product vs. Cross Product

Demo on vectors: Mathematica notebook

WeBWorK Orientation due 9/7
WeBWorK1 due 9/11

9/13 § 11.5: exer. 1,3,7,9,13,19,21,23,25,27,29,31,35,41,
45,47,49,57,61,63-71 odd

A4 (conics): exer. 1,3,5,7,17,21,27,33,51,53,55,57

§ 11.6: exer. 1-12,13,19,23,27,31,33,37,41
Demo on lines and planes: Mathematica notebook

Conic sections

Quadrics (slides)
Demo on quadrics: Mathematica notebook

WeBWorK2 due 9/18

9/20 Exam I on 9/24 (Friday)

§ 12.1: exer. 1,5,9,13,15,16,19,21,23,25,27-34

§ 10.1: exer. 1,5,13,19,23,36,38,39

§ 12.2: exer. 1,5,9,11,15,17

§ 12.3: exer. 1,3,5,9,11,13,18
Exam I: study guide and formula sheet
practice problems for Exam I


Project 1: due 9/21; Project 1 Help file