Math 114 schedule

Monday Wednesday Friday
Sept. 1

In Lecture:
  • No class
Sept. 3

In Lecture:
  • Differential equations and modeling
  • Separable equations
  • Models for population growth

Reading and Homework Problems:
  • Stewart, Chapters 10.1, 10.3, 10.4
Sept. 5

In Lecture:
  • Differential equations and modeling (continued)
  • Separable equations (continued)
  • Models for population growth (continued)
  • Direction fields and Euler's method

Reading and Homework Problems:
  • Stewart, Chapters 10.1, 10.2, 10.3, 10.4
Sept. 8

In Lecture:
  • Direction fields and Euler's method
  • Separable equations (continued)
  • Applications (growth equations, orthogonal trajectories, mixing problems, laws of cooling, etc.)

Reading and Homework Problems:
  • Stewart, Chapters 10.2, 10.3, 10.4
Sept. 10

In Lecture:
  • Applications (continued)
  • First order linear equations

Reading and Homework Problems:
  • Stewart, Chapter 10.5
Sept. 12

In Lecture:
  • Predator Prey systems
  • Review of Chapter 10

Reading and Homework Problems:
  • Stewart, Chapter 10.6
Sept. 15

In Lecture:
  • Review of chapter 10

Reading and Homework Problems:
  • Stewart, Chapters 10.1 - 10.6
Sept. 17

In Lecture:
  • Coordinates and Vectors

Reading and Homework Problems:
  • Stewart, Chapter 13.1, 13.2,
Sept. 19

In Lecture:
  • Dot Products

Reading and Homework Problems:
  • Stewart, Chapter 13.3, 13.4
Sept. 22

In Lecture:
  • Dot Products, continued
  • Position, velocity, acceleration, force and work

Reading and Homework Problems:
  • Stewart, Chapter 13.3
  • Stewart, Chapter 14.4 (pages 906-910 only, stop before tangential and normal components of acceleration)
Sept. 24

In Lecture:
  • Dot products and Cross products (continued)

Reading and Homework Problems:
  • Stewart, Chapters 13.4
Sept. 26

In Lecture:
  • Cross products (continued)

Reading and Homework Problems:
  • Stewart, Chapter 13.4
Sept. 29

In Lecture:
  • Equations of lines and planes

Reading and Homework Problems:
  • Stewart, Chapter 13.5
  • Stewart, Chapter 14.4 (pages 906-910 only, stop before tangential and normal components of acceleration)
Oct. 1

In Lecture:
  • Lines and planes (continued), Cylinders and quadric surfaces

Reading and Homework Problems:
  • Stewart, Chapters 13.5 and 13.6
Oct. 3

In Lecture:
  • Cylinders and quadric surfaces (continued), tangent lines, arc length

Reading and Homework Problems:
  • Stewart, Chapters 13.6, 14.1, 14.2, 14.3
Oct. 6

In Lecture:
  • Curvature, unit tangent vectors, unit normal vectors, binormal vectors
  • Tangential and normal components of acceleration

Reading and Homework Problems:
  • Stewart, Chapters 14.3 and 14.4
Oct. 8
  • First hour exam

To prepare for this exam, read this .pdf file of First Hour Exam Information
Oct. 10

In Lecture:
  • Level sets

Reading and Homework Problems:
  • Stewart, Chapter 15.1
Oct. 13

In Lecture:
  • No class, fall break
Oct. 15

In Lecture:
  • Limits and continuity

Reading and Homework Problems:
  • Stewart, Chapter 15.2. Review polar coordinates in Chapter 11.3.
Oct. 17

In Lecture:
  • Parial derivatives
  • Linear approximations

Reading and Homework Problems:
  • Stewart, Chapter 15.3
Oct. 20

In Lecture:
  • Linear approximations (continued)
  • Tangent planes
  • Partial differential equations
  • Higher partials

Reading and Homework Problems:
  • Stewart, Chapters 15.3, 15.4
Oct. 22

In Lecture:
  • Chain Rule
  • Gradients and Directional derivatives

Reading and Homework Problems:
  • Stewart, Chapter 15.5, 15.6
Oct. 24

In Lecture:
  • Chain rule, continued
  • Gradients and Directional derivatives, continued

Reading and Homework Problems:
Oct. 27

In Lecture:
  • Implicit differentiation
  • Significance of higher partials
  • Maxima and Minima

Reading and Homework Problems:
Oct. 29

In Lecture:
  • Maxima and minima (continued)

Reading and Homework Problems:
  • Stewart, Chapter 15.7.
Oct. 31

In Lecture:
  • Lagrange multipliers

Reading and Homework Problems:
  • Stewart, Chapter 15.8
Nov. 3

In Lecture:
  • Second Mid-Term
Nov. 5

In Lecture:
  • Lagrange multipliers (continued)
  • Double integrals over rectangles

Reading and Homework Problems:
  • Stewart, Chapter 15.8, 16.1
Nov. 7

In Lecture:
  • Iterated integrals

Reading and Homework Problems:
  • Stewart, Chapter 16.2
Nov. 10

In Lecture:
  • Double integrals over general regions and in polar coordinates

Reading and Homework Problems:
  • Stewart, Chapter 16.3, 16.4
Nov. 12

In Lecture:
  • Applications

Reading and Homework Problems:
  • Stewart, Chapter 16.5
Nov. 14

In Lecture:
  • Triple integrals

Reading and Homework Problems:
  • Stewart, Chapter 16.6
Nov. 17

In Lecture:
  • Triple integrals in cylindrical and spherical coordinates

Reading and Homework Problems:
  • Stewart, Chapters 11.3, 11.4, 16.7, 16.8
Nov. 19

In Lecture:
  • Change of variables in multiple integrals

Reading and Homework Problems:
  • Stewart, Chapter 16.9
Nov. 21

In Lecture:
  • Vector Fields

Reading and Homework Problems:
  • Stewart, Chapter 17.1
Nov. 24

In Lecture:
  • Line integrals

Reading and Homework Problems:
  • Stewart, Chapters 17.2
Nov. 26

In Lecture:
  • Fundamental theorem for line integrals

Reading and Homework Problems:
  • Stewart, Chapter 17.3
Nov. 28

In Lecture:
  • No class: Thanksgiving break!
Dec. 1

In Lecture:
  • Green's Theorem

Reading and Homework Problems:
  • Stewart, Chapter 17.4
Dec. 3

In Lecture:
  • Review

Reading and Homework Problems:
Dec. 5

In Lecture:
  • Mid-term #3
Last updated: 11/6/2008
Send e-mail comments to: ted@math.upenn.edu