Math 13 Daily ScheduleWinter 2001
Text: Basic Multivariable Calculusby Marsden, Tromba, Weinstein

#1

Friday1/5
• Vectors; dot and cross products; lines and planes (1.1 - 1.5)

#2

Monday1/8
• Curves in Euclidean space; tangent vectors and lines (1.6)

#3

Wednesday1/10
• Graphs, level surfaces, partial derivatives and continuity (2.1 - 2.2)

#4

Friday1/12
• Differentiability, the derivative matrix, tangent planes (2.3)

#5

Tuesday1/16 (x-hour; No class Monday 1/15, MLK Day)
• The Chain Rule (2.4)

#6

Wednesday1/17
• Gradients, Directional Derivatives (2.5)

#7

Friday1/19
• Implicit Differentiation, Curves and acceleration (2.6, 4.1)

#8

Monday1/22
• Arc length (4.2)

#9

Wednesday1/24
• Vector Fields (4.3)

#10

Friday1/26
• Divergence and Curl (4.4)

#11

Monday1/29
• Divergence and Curl / Volumes (4.4 – 5.1)

#12

Wednesday1/31
• Double Integrals and Riemann sums (5.2)

Wednesday, 3:30 p.m.–4:45 p.m., Hour Exam #1: through class #11

Hour Exam #1

#13

Friday2/2
• Double Integral over rectangle (5.2 – 5.3)

#14

Monday2/5
• Double integrals over other regions (5.3)

#15

Tuesday2/6 (x-hour; No class Friday 2/9, Winter Carnival)
• Triple Integrals (5.4)

#16

Wednesday2/7
• Change of variables (cylindrical and spherical coordinates) (5.5)

#17

Monday2/12
• Change of variables (cylindrical and spherical coordinates) (5.5)

#18

Wednesday2/14
• Line Integrals (6.1)

#19

Friday2/16
• Line Integrals (6.1)

#20

Monday2/19
• Parametrized surfaces (6.2)

#21

Wednesday2/21
• Area of a surface (6.3)