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Math 20C  —  Calculus  —  Fall 2018  —  Lecture C (Tesler)
Calendar

Updated 12/3/18

Note: This calendar is approximate and is subject to revision during the term.

Week 0
Sep. 28
  • 1.1 Vectors in 2D and 3D
Week 1
Oct. 1
  • 1.1 continued
  • WebAssign demo
Oct. 3
  • 1.1 continued: formulas of lines, intersecting lines
  • 1.2 Dot product (inner product)
Oct. 5
  • 1.2 continued: dot product, properties of dot product, length, distance, angles
Week 2
Oct. 8
  • 1.2 continued: components, projections
  • 1.3 Matrices, determinants, the cross product
Oct. 10
  • 1.3 Geometric interpretation of cross product; planes
Oct. 12
  • 1.3 Volume of a parallelepiped
  • 2.1 The geometry of real-valued functions
    See graphical demos for 2.1.
Week 3
Oct. 15
  • 2.1 continued: Level curves
  • 2.2 Limits and continuity
Oct. 17
  • 2.2 continued
  • 2.3 Partial derivatives: how to compute them
Oct. 19
  • 2.3 continued: technical definition of partial derivatives; tangent plane; linear approximation (slides 1-26) [slides revised]
Week 4
Oct. 22
  • 2.3 continued (rest of slides): more examples; derivative matrix
  • 2.4 Introduction to paths and curves
Oct. 24 Midterm 1
Oct. 26
  • 2.4 continued
    See graphical demos for 2.4.
  • 2.5 Chain rule for multiple variables (slides 1-14)
Week 5
Oct. 29
  • 2.5 continued (rest of slides)
  • 2.6 Gradients and directional derivatives (slides 1-11) [slides revised]
Oct. 31
Nov. 2
  • Graphical demos for 2.4.

  • 3.1 Iterated partial derivatives (slides) [slides revised]
Week 6
Nov. 5
  • 3.3-3.4 (slides 1-17)
  • 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.
Nov. 7
  • 3.3 continued (review + slides 18-28)
Nov. 9
  • 3.4 Constrained extrema and Lagrange multipliers (slides 32-46)
    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
Nov. 12 Veterans Day
Nov. 14
  • 3.4 continued (slides 47-)

  • 4.1 Velocity and acceleration
    Skip “Kepler's Law” on the bottom of page 221 through page 226.
  • 4.2 Arc length
Nov. 16 Midterm 2
Week 8
Nov. 19
  • 4.1-4.2 continued
    See graphical demos for 4.1.

Nov. 21 Chapter 5: Integrals with multiple variables
  • 5.1 Introduction to double and triple integrals (slides) [slides revised]
  • Partial integration
  • Iterated integrals in 2D (5.1) and 3D (5.5)
  • 5.2 Double integrals over rectangles
  • Mean Value Theorem

Nov. 23 Thanksgiving Break
Week 9
Nov. 26
  • 5.3 Double integrals over more general regions
Nov. 28
  • 5.4 Changing the order of integration
  • 5.5 Triple integrals
Nov. 30
  • 5.5 Triple integrals, continued
Week 10
Dec. 3
  • 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.
Dec. 5
  • 6.2, 1.4 continued
Dec. 7
  • 6.2, 1.4 continued
Week 11
Thu. Dec. 13 Final exam, 11:30-2:30