Syllabus

Textbook: Basic Multivariable Calculus by Marsden, Tromba, Weinstein.

#1 Friday 1/4

• Chapter 1, §§1 - 5:
Vectors; dot and cross products; lines and planes

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#2 Monday 1/7

• Chapter 1, §6:
Curves in Euclidean space; tangent vectors and lines

#3 Wednesday 1/9

• Chapter 2, §§1, 2:
Graphs, level surfaces, partial derivatives and continuity

#4 Friday 1/11

• Chapter 2, §3:
Differentiability, the derivative matrix, tangent planes

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#5 Monday 1/14

• Chapter 2, §4:
The Chain Rule

#6 Wednesday 1/16

• Chapter 2, §5:

#7 Friday 1/18

• Chapter 2, §6; Chapter 4, §1:
Implicit Differentiation, Curves and acceleration

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#8 Tuesday 1/22 (x-hour, 12:00-12:50 or 1:00-1:50; no class Monday 1/21, MLK Day)

• Chapter 4, §2:
Arc length

#9 Wednesday 1/23

• Chapter 4, §3:
Vector Fields

Note: The first Hour-Exam is a week from today. Be sure to be up to date so that you have plenty of time for review.

#10 Friday 1/25

• Chapter 4, §4:
Divergence and Curl

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#11 Monday 1/28

• Chapter 4, §4; Chapter 5, §1:
Divergence and Curl / Volumes

#12 Wednesday 1/30

• Chapter 5, §2:
Double Integrals and Riemann sums

Note: The first Hour-Exam is today, 3:30-4:45, in 101 Bradley. It covers material through class #11.

#13 Friday 2/1

• Chapter 5, §§2, 3:
Double Integral over rectangle

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#14 Monday 2/4

• Chapter 5, §3:
Double integrals over other regions

#15 Tuesday 2/5 (x-hour, 12:00-12:50 or 1:00-1:50; no class Friday 2/8, Winter Carnival)

• Chapter 5, §4:
Triple Integrals

#16 Wednesday 2/6

• Chapter 5, §5:
Change of variables (cylindrical and spherical coordinates)

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#17 Monday 2/11

• Chapter 5, §5:
Change of variables (cylindrical and spherical coordinates)

#18 Wednesday 2/13

• Chapter 6, §1:
Line Integrals

Note: The second Hour-Exam is a week from today.

#19 Friday 2/15

• Chapter 6, §1:
Line Integrals

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#20 Monday 2/18

• Chapter 6, §2:
Parametrized surfaces

#21 Wednesday 2/20

• Chapter 6, §3:
Area of a surface

Note: The second Hour-Exam is today, 3:30-4:45, in 101 Bradley. It covers material through class #20.

#22 Friday 2/22

• Chapter 6, §4:
Surface Integrals

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#23 Monday 2/25

• Chapter 7, §1:
Green's Theorem

#24 Wednesday 2/27

• Chapter 7, §§1, 2:
Stokes' Theorem

#25 Friday 3/1

• Chapter7, Chapter 7, §2:
Stokes' Theorem

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#26 Monday 3/4

• Chapter 7, §3:
Gauss' Theorem

#27 Wednesday 3/6

• Wrapup

Note: We will notify you as soon as the Registrar schedules the final exam.

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