Week 0 
F: Sep. 27 
First lecture: 1.1 Vectors in 2D and 3D. (No discussion section.)

Week 1 
M: Sep. 30 

1.1 continued; WebAssign demo

W: Oct. 2 

1.1 continued; formulas of lines, intersecting lines

1.2 Dot product (inner product)

F: Oct. 4 

1.2 continued: dot product, properties of dot product, length, distance, angles


First discussion section

Week 2 
M: Oct. 7 

1.2 continued: components, projections

1.3 Matrices, determinants, the cross product


HW 1 due on WebAssign at 11:59pm

W: Oct. 9 

1.3 Geometric interpretation of cross product; planes

F: Oct. 11 

1.3 Volume of a parallelepiped

2.1 The geometry of realvalued functions
See graphical demos for 2.1.

Week 3 
M: Oct. 14 

2.1 continued: Level curves

2.2 Limits and continuity


HW 2 due on WebAssign at 11:59pm

W: Oct. 16 

2.2 continued

2.3 Partial derivatives: how to compute them

F: Oct. 18 

Week 4 
M: Oct. 21 

2.3 continued (rest of slides): more examples; derivative matrix

2.4 Introduction to paths and curves


HW 3 due on WebAssign at 11:59pm

W: Oct. 23 
Midterm 1

F: Oct. 25 

Week 5 
M: Oct. 28 


HW 4 due on WebAssign at 11:59pm

W: Oct. 30 

F: Nov. 1 

Week 6 
M: Nov. 4 

3.33.4
(Prof. Tesler's slides for 3.33.4)

3.3 Extrema of realvalued functions
We will fully cover functions of two variables.
We'll only partially cover functions of three or more variables, since full coverage requires linear algebra (Math 18).
Skip from the third line of page 172 through the top of page 176, continuing at “SecondDerivative Test (two variables).”
On pages 179180, skip example 10.


HW 5 due on WebAssign at 11:59pm

W: Nov. 6 

F: Nov. 8 

3.4 Constrained extrema and Lagrange multipliers
On pages 191192, skip “Several Constraints” and example 5. Continue with example 6.
On pages 197201, skip “A SecondDerivative Test for Constrained Extrema.”

Week 7 
M: Nov. 11 
Veteran's Day

T: Nov. 12 
HW 6 due on WebAssign at 11:59pm

W: Nov. 13 

3.4 continued

4.1 Velocity and acceleration
Skip “Kepler's Law” on the bottom of page 221 through page 226.

4.2 Arc length

F: Nov. 15 

4.14.2 continued
See graphical demos for 4.1.

Week 8 
M: Nov. 18 

T: Nov. 19 
HW 7 due on WebAssign at 11:59pm

W: Nov. 20 
Midterm 2

F: Nov. 22 
Chapter 5: Integrals with multiple variables

5.1 Introduction to double and triple integrals
(Prof. Tesler's slides for Ch. 5)

Partial integration

Iterated integrals in 2D (5.1) and 3D (5.5)

5.2 Double integrals over rectangles
 Mean Value Theorem

Week 9 
M: Nov. 25 

5.3 Double integrals over more general regions

W: Nov. 27 

5.4 Changing the order of integration

5.5 Triple integrals


HW 8 due on WebAssign at 11:59pm

F: Nov. 29 
Thanksgiving Break

Week 10 
M: Dec. 2 

5.5 Triple integrals, continued

W: Dec. 4 

5.5 Triple integrals, continued

If we have time: 6.2, 1.4 Integrals in polar, cylindrical, and spherical coordinates.
We will not be covering general change of variables; those will be covered in Math 20E.

F: Dec. 6 


HW 9 due on WebAssign at 11:59pm

Week 11 
T: Dec. 10 
Final exam, 3:00pm5:59pm
