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MATH 20C WI19 A (Swanson)

Calendar

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

Week 1
M: Jan. 7
  • 1.1 Vectors in 2D and 3D
W: Jan. 9
  • 1.1 continued
  • WebAssign demo
Th: Jan. 10
  • First discussion section/no homework due
F: Jan. 11
  • 1.1 continued: formulas of lines, intersecting lines
  • 1.2 Dot product (inner product)
Week 2
M: Jan. 14
  • 1.2 continued: dot product, properties of dot product, length, distance, angles
W: Jan. 16
  • 1.2 continued: components, projections
  • 1.3 Matrices, determinants, the cross product
Th: Jan. 17 HW 1 due on WebAssign
F: Jan. 18
  • 1.3 Geometric interpretation of cross product; planes
Week 3
M: Jan. 21 Martin Luther King Jr. Day
W: Jan. 23
  • 1.3 Volume of a parallelepiped
  • 2.1 The geometry of real-valued functions
    See graphical demos for 2.1.
Th: Jan. 24 HW 2 due on WebAssign
F: Jan. 25
  • 2.1 continued: Level curves
  • 2.2 Limits and continuity
Week 4
M: Jan. 28
  • 2.2 continued
  • 2.3 Partial derivatives: how to compute them
W: Jan. 30
Th: Jan. 31 HW 3 due on WebAssign
F: Feb. 1
  • 2.3 continued (rest of slides): more examples; derivative matrix
  • 2.4 Introduction to paths and curves
Week 5
M: Feb. 4 Midterm 1
W: Feb. 6
Th: Feb. 7 HW 4 due on WebAssign
F: Feb. 8
Week 6
M: Feb. 11
W: Feb. 13
Th: Feb. 14 HW 5 due on WebAssign
F: Feb. 15
  • 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.
Week 7
M: Feb. 18 President's Day
W: Feb. 20
  • 3.3 continued
Th: Feb. 21 HW 6 due on WebAssign
F: Feb. 22
  • 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 8
M: Feb. 25 Midterm 2
W: Feb. 27
  • 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
Th: Feb. 28 HW 7 due on WebAssign
F: Mar. 1
  • 4.1-4.2 continued
    See graphical demos for 4.1.

Week 9
M: Mar. 4 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

W: Mar. 6
  • 5.3 Double integrals over more general regions
Th: Mar. 7 HW 8 due on WebAssign
F: Mar. 8
  • 5.4 Changing the order of integration
  • 5.5 Triple integrals
Week 10
M: Mar. 11
  • 5.5 Triple integrals, continued
W: Mar. 13
  • 5.5 Triple integrals, continued
  • 6.2, 1.4 Integrals in polar and cylindrical coordinates.
    We may or may not have time for spherical coordinates, and we will not be covering general change of variables; those will be covered in Math 20E.
Th: Mar. 14 HW 9 due on WebAssign
F: Mar. 15
  • 6.2, 1.4 continued
Week 11
M: Mar. 18 Final exam, 8:00-10:59a.m.