MAT 240 Multivariable Calculus

Catalog description: Calculus of real-valued functions of two and three variables. Topics covered include: polar coordinates, curves and surfaces in space, partial derivatives and multiple integration.

Time & Place: 1:50-2:45PM MWF; 11:10AM-12:30PM Tue; Shineman 176
Syllabus: link
Office: MCC 175
Office hours: 12:45-1:45PM MWF, 12:15-1:15PM Tu, and by appointment
Homework: link

Week 15

11.29 Mon

19.2 Flux integrals, part 2

Begin 19.3, 19.4 The Divergence Theorem

Week 14

11.23 Tue

Finish 19.1 Flux integrals, part 1

11.22 Mon

Continue 19.1 Flux integrals, part 1

Week 13

11.19 Fri

Begin 19.1 Flux integrals, part 1

11.17 Wed

Finish 18.3 Gradient fields and path-independent fields, part 2

Begin 18.4 Green's Theorem

11.16 Tue

Exam 2

11.15 Mon

Continue 18.3 Gradient fields and path-independent fields, part 2

Week 12

11.12 Fri

Finish 18.3 Gradient fields and path-independent fields, part 1

Begin 18.3 Gradient fields and path-independent fields, part 2

11.10 Wed

Finish 18.1, 18.2 Line integrals

Begin 18.3 Gradient fields and path-independent fields, part 1

11.09 Tue

Begin 18.1, 18.2 Line integrals

11.08 Mon

Finish 17.3 Vector fields

Week 11

11.05 Fri

Finish 17.2 Motion, velocity, and acceleration

Begin 17.3 Vector fields

11.03 Wed

Finish 17.1 Parameterized curves

Begin 17.2 Motion, velocity, and acceleration

11.02 Tue

Begin 17.1 Parameterized curves

11.01 Mon

Finish 16.5 Integrals in cylindrical and spherical coordinates, part 2

Week 10

10.29 Fri

Begin 16.5 Integrals in cylindrical and spherical coordinates, part 2

10.27 Wed

Finish 16.5 Integrals in cylindrical and spherical coordinates, part 1

10.26 Tue

Finish 16.4 Double integrals in polar coordinates

Begin 16.5 Integrals in cylindrical and spherical coordinates, part 1

10.25 Mon

Finish 8.3 Polar coordinates

Begin 16.4 Double integrals in polar coordinates

Week 9

10.22 Fri

No class.

10.20 Wed

8.3 Polar coordinates

10.19 Tue

16.3 Triple integrals, part 2

10.18 Mon

Finish 16.3 Triple integrals, part 1

Week 8

10.15 Fri

Fall break. No class.

10.13 Wed

16.3 Triple integrals, part 1

10.12 Tue

Exam 1

10.11 Mon

Finish 16.2 Iterated integrals

Week 7

10.08 Fri

16.2 Iterated integrals

10.06 Wed

Finish 16.1 The definite integral of a function of two variables

10.05 Tue

16.1 The definite integral of a function of two variables

10.04 Mon

15.3 Lagrange multipliers

Week 6

10.01 Fri

15.1 Optimization, part 2

09.29 Wed

15.1 Optimization, part 1

09.28 Tue

14.7 Second-order partial derivatives

09.27 Mon

14.6 The chain rule

Week 5

09.24 Fri

14.4, 14.5 Gradients, part 3

09.22 Wed

Finish 14.4, 14.5 Gradients, part 1; begin 14.4, 14.5 Gradients, part 2

09.21 Tue

14.4, 14.5 Gradients, part 1

09.20 Mon

14.3 Local linearity and differentials

Week 4

09.17 Fri

Finish 14.2 Computing partial derivatives

09.15 Wed

Finish 14.1 The partial derivative; begin 14.2 Computing partial derivatives

09.14 Tue

Finish 13.4 The cross product; begin 14.1 The partial derivative

09.13 Mon

Finish 13.3 The dot product; begin 13.4 The cross product

Week 3

09.10 Fri

Finish 13.1 Displacement vectors; begin 13.3 The dot product

Week 2

09.03 Fri

Finish 12.6 Limits and continuity; begin 13.1 Displacement vectors

09.01 Wed

Begin 12.6 Limits and continuity

08.31 Tue

Finish 12.5 Functions of three variables

08.30 Mon

12.4 Linear functions; begin 12.5 Functions of three variables

Week 1

08.27 Fri

Finish 12.2 Graphs and surfaces and 12.3 Contour diagrams

08.25 Wed

Begin 12.2 Graphs and surfaces and 12.3 Contour diagrams

08.24 Tue

12.1 Functions of two variables, part 2

08.23 Mon

12.1 Functions of two variables, part 1