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MATH 20C FA19 E (Swanson)

Calendar

Note: Sections for a given lecture are only approximate and are subject to revision during the term without notice.

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 real-valued 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
  • 3.3-3.4 (Prof. Tesler's slides for 3.3-3.4)
  • 3.3 Extrema of real-valued 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 “Second-Derivative Test (two variables).”
    On pages 179-180, skip example 10.
HW 5 due on WebAssign at 11:59pm
W: Nov. 6
  • 3.3 continued
F: Nov. 8
  • 3.4 Constrained extrema and Lagrange multipliers
    On pages 191-192, skip “Several Constraints” and example 5. Continue with example 6.
    On pages 197-201, skip “A Second-Derivative 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
  • 4.1-4.2 continued
    See graphical demos for 4.1.
Week 8
M: Nov. 18
  • Catchup
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
  • Catchup/review
HW 9 due on WebAssign at 11:59pm
Week 11
T: Dec. 10 Final exam, 3:00pm-5:59pm