Math 13 Syllabus

Course Description Course Information Syllabus Homework Assignments

WeBWorK Maple Stuff ... Exam Related

Course Description	Course Information	Syllabus	Homework Assignments
WeBWorK	Maple Stuff	...	Exam Related

Syllabus

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

#1 Monday 1/6

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

#2 Wednesday 1/8

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

#3 Friday 1/10

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

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#4 Monday 1/13

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

#5 Wednesday 1/15

• Chapter 2, §4:
The Chain Rule

#6 Friday 1/17

• Chapter 2, §5:
Gradients, Directional Derivatives

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#7 Tuesday 1/21 (x-hour, 12:00-12:50 or 1:00-1:50; no class Monday 1/20, MLK Day)

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

#8 Wednesday 1/22

• Chapter 4, §2:
Arc length

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.

#9 Friday 1/24

• Chapter 4, §3:
Vector Fields

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#10 Monday 1/27

• Chapter 4, §4:
Divergence and Curl

#11 Wednesday 1/29

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

Note: The first Hour-Exam is today, 3:30-4:45, in 101 Bradley. It covers material through class #9.

#12 Friday 1/31

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

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#13 Monday 2/3

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

#14 Tuesday 2/4 (x-hour, 12:00-12:50 or 1:00-1:50; no class Friday 2/7, Winter Carnival)

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

#15 Wednesday 2/5

• Chapter 5, §4:
Triple Integrals

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#16 Monday 2/10

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

#17 Wednesday 2/12

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

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

#18 Friday 2/14

• Chapter 6, §1:
Line Integrals

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#19 Monday 2/17

• Chapter 6, §1:
Line Integrals

#20 Wednesday 2/19

• Chapter 6, §2:
Parametrized surfaces

Note: The second Hour-Exam is today, 3:30-4:45, in 101 Bradley. It covers material through class #18.

#21 Friday 2/21

• Chapter 6, §3:
Area of a surface

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#22 Monday 2/24

• Chapter 6, §4:
Surface Integrals

#23 Wednesday 2/26

• Chapter 7, §1:
Green's Theorem

#24 Friday 2/28

• Chapter 7, §§1, 2:
Stokes' Theorem

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#25 Monday 3/3

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

#26 Wednesday 3/5

• Chapter 7, §3:
Gauss' Theorem

#27 Friday 3/7

• Wrapup

Note: The Registrar has scheduled the final exam for Wednesday, March 12 at 10:30 a.m. in 28 Silsby.

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