Math 114 schedule
Monday Wednesday Friday
Jan. 14

In Lecture:
  • No class
Jan. 16

In Lecture:
  • Introduction to the course, vectors

Reading and Homework Problems:
  • Stewart, Chapter 13.1, 13.2,
Jan. 18

In Lecture:
  • Dot Products and Cross Products

Reading and Homework Problems:
  • Stewart, Chapter 13.3, 13.4
Jan. 21

In Lecture:
  • No class, Martin Luther King Holiday
Jan. 23

In Lecture:
  • Position, velocity, acceleration, force and work

Reading and Homework Problems:
  • Stewart, Chapter 14.4 (pages 906-910 only, stop before tangential and normal components of acceleration)
  • Stewart, Chapter 13.3
Jan. 25

In Lecture:
  • Cross products and equations of lines and planes.

Reading and Homework Problems:
  • Stewart, Chapter 13.4, 13.5
Jan. 28

In Lecture:
  • Cross products and equations of lines and planes, continued.

Reading and Homework Problems:
  • Stewart, Chapter 13.4, 13.5
Jan. 30

In Lecture:
  • Cylinders and quadric surfaces

Reading and Homework Problems:
  • Stewart, Chapter 13.6. See pages A16 - A23 of the Appendix of the text for the two-variable case.
Feb. 1

In Lecture:
  • Cylinders and quadric surfaces, continued.
  • Note: We'll discuss chapter 13.7, about cylindrical and spherical coordinates, just before discussing multiple integrals in chapter 16

Reading and Homework Problems:
  • Stewart, Chapters 13.6. See pages A16 - A23 of the Appendix of the text for the two-variable case.
Feb. 4

In Lecture:
  • First hour exam

To prepare for this exam, read this .pdf file of First Hour Exam Information 		Feb. 6

In Lecture:
  • Vector functions, derivatives and integrals, tangent lines

Reading and Homework Problems:
  • Stewart, Chapter 14.1 and 14.2
Feb.8

In Lecture:
  • Arc length and curvature

Reading and Homework Problems:
  • Stewart, Chapter 14.3
Feb. 11

In Lecture:
  • tangential and normal components of acceleration

Reading and Homework Problems:
  • Stewart, Chapter 14.3 and 14.4
Feb. 13

In Lecture:
  • Curvature, unit tangent vectors, unit normal vectors, binormal vectors

Reading and Homework Problems:
  • Stewart, Chapter 14.3 and 14.4
Feb. 15

In Lecture:
  • Level sets

Reading and Homework Problems:
  • Stewart, Chapter 15.1
Feb. 18

In Lecture:
  • Limits and continuity

Reading and Homework Problems:
  • Stewart, Chapter 15.2. Review polar coordinates in section 11.3, and skip proble 39.
Feb. 20

In Lecture:
  • Parial derivatives
  • Tangent planes
  • Linear approximations

Reading and Homework Problems:
  • Stewart, Chapter 15.3 and 15.4
Feb. 22

In Lecture:
  • Second hour exam

Information about the exam
Feb. 25

In Lecture:
  • Partial differential equations
  • Higher partials

Reading and Homework Problems:
  • Stewart, Chapter 15.3
Feb. 27

In Lecture:
  • Tangent planes
  • Linear approximations
  • Chain Rule

Reading and Homework Problems:
  • Stewart, Chapter 15.4, 15.5
Feb. 29

In Lecture:
  • Chain Rule
  • Gradients and Directional derivatives

Reading and Homework Problems:
  • Stewart, Chapter 15.5, 15.6
Mar. 3

In Lecture:
  • Gradients and Directional derivatives, continued
  • Maxima and Minima, Lagrange multipliers

Reading and Homework Problems: 		Mar. 5

In Lecture:
  • Maxima and Minima, Extreme value theorem

Reading and Homework Problems:
  • Stewart, Chapter 15.7, 15.8.
March 7

In Lecture:
  • Lagrange multipliers

Reading and Homework Problems:
  • Stewart, Chapter 15.7, 15.8.
Mar. 10

In Lecture:
  • No Class: Spring Break!
Mar. 12

In Lecture:
  • No Class: Spring Break!
March 14

In Lecture:
  • No Class: Spring Break!
Mar. 17

In Lecture:
  • Cylindrical and Spherical Coordinates
  • Start of multiple integrals

Reading and Homework Problems:
  • Stewart Chapters 13.7, 15.8, 16.1
Mar. 19

In Lecture:
  • Multiple integrals

Reading and Homework Problems:
  • Stewart, Chapters 16.1 and 16.2
March 21

In Lecture:
  • Iterated Integrals and Fubini's Theorem
  • Integrals over general regions
  • Integrals in Polar coordinates
  • Applications

Reading and Homework Problems:
  • Stewart, Chapters 16.1 - 16.5
Mar. 24

In Lecture:
  • Iterated Integrals and Fubini's Theorem
  • Integrals over general regions
  • Integrals in Polar coordinates
  • Applications

Reading and Homework Problems:
  • Stewart, Chapters 16.1 - 16.5
Mar. 26

In Lecture:
  • Surface Area
  • Triple integrals

Reading and Homework Problems:
  • Stewart, Chapters 16.6, 16.7
March 28

In Lecture:
  • Triple integrals in rectangular, cylindrical and polar coordinates

Reading and Homework Problems:
  • Stewart, Chapters 16.7, 16.8
Mar. 31

In Lecture: 		April 2

In Lecture:
  • Changes of variables in multiple integrals

Reading and Homework Problems:
  • Stewart, Chapter 16.9
April 4

In Lecture:
  • Differential equations and modeling
  • Direction fields and Euler's Method
  • Separable equations

Reading and Homework Problems:
  • Stewart, Chapters 10.1, 10.2, 10.3
April 7

In Lecture:
  • Direction fields and Euler's method (continued)
  • Separable equations (continued)

Reading and Homework Problems:
  • Stewart, Chapters 10.2 and 10.3
April 9

In Lecture:
  • Separable equations, continued
  • Applications (exponential growth, orthogonal trajectories, mixing problems, laws of cooling, etc.)

Reading and Homework Problems:
  • Stewart, Chapters 10.3 and 10.4
April 11

In Lecture:
  • Exponential growth (continued)
  • Forward and backward equilibria
  • The Logistic Equation

Reading and Homework Problems:
  • Stewart, Chapters 10.4 and 10.5
April 14

In Lecture:
  • First order linear equations

Reading and Homework Problems:
  • Stewart, Chapter 10.6
April 16

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

Reading and Homework Problems:
  • Stewart, Chapter 10.7
April 18

In Lecture:
  • Second order linear equations
  • Complex numbers

Reading and Homework Problems:
  • Stewart, Chapter 18.1 and Appendix G
April 21

In Lecture:
  • Nonhomogeneous linear equations

Reading and Homework Problems:
  • Stewart Chapter 18.2
April 23

In Lecture:
  • Applications of second order differential equations

Reading and Homework Problems:
  • Stewart, Chapter 18.3
April 25

In Lecture:
  • Series Solutions

Reading and Homework Problems:
  • Stewart, Chapter 18.4
April 28

Last day of class!

In Lecture:
  • Fourth hour exam
April 30

No Lecture, reading days
  • See the final exams at the end of the lab manual
May 2

No Lecture, reading days
  • See the final exams at the end of the lab manual
May 5

No lecture, reading days

In Lecture:
  • See the final exams at the end of the lab manual
May 7

No Lecture, reading days
  • See the final exams at the end of the lab manual
May 9

Common Final Exam for math 114
May 9, from 9 a.m. to 11 a.m.
The location of the exam will be announced earlier during lecture

Last updated: 4/4/2008
Send e-mail comments to: ted@math.upenn.edu