Lecture Record
MATH 2550
Here I'll try to keep an updated (more or less accurate)
record of the topics, sections of the book, etc. covered in
each lecture. There may be some other useful information entered
here from time to time.
Date Chapter/Topics or Page/Problems
M Aug 19 Lecture 1: Introduction to Introduction to Multivariable Calculus
Review of Calculus I and II
Space...and stuff in space
Vectors and the dot product (12.1-3)
approximate actual textbook coverage: 12.1
W 21 Lecture 2: Vectors and the dot product (12.1-3)
approximate actual textbook coverage: 12.2
F 23 Calculus Review, Chapter 12 preskills
M 26 Lecture 3: Vectors and the dot product (12.1-3)
The cross product; lines and planes (12.4-5)
approximate actual textbook coverage: 12.3-4
W 28 Lecture 4: The cross product; lines and planes (12.4-5)
approximate actual textbook coverage: 12.4-5
F 29 Homework 1 and Chapter 13 preskills
M Sept 2 Holiday (no class)
W 4 Lecture 5: Quadric surfaces (12.6)
approximate actual textbook coverage: 12.6
F 6 Homework 2
M 9 Lecture 6: Vector valued functions of one variable (curves)
Motion: velocity and position (13.1-3)
Diferentiation and integration (13.1-3)
approximate actual textbook coverage: 13.1-3
W 11 Lecture 7: Arclength parameterization (13.1-3)
Curvature and principal normal (13.4)
approximate actual textbook coverage: 13.4
F 13 Homework 3 and Homework 4
M 16 Lecture 8: Review
W 18 Exam 1 rework copy rework copy scores ironic scores
F 20 Chapter 14 preskills
M 23 Lecture 9: Functions of several variables (14.1-2)
approximate actual textbook coverage: 14.1-2
W 25 Lecture 10: Partial derivatives and the chain rule (14.3-4)
approximate actual textbook coverage: 14.3
F 27 Homework 5
M 30 Lecture 11: Directional derivatives and the gradient (14.5)
approximate actual textbook coverage: 14.4
W Oct 2 Lecture 12: Linear approximation; differentials (14.6)
approximate actual textbook coverage: 14.5
F 4 Homework 6 and Homework 7
M 7 Lecture 13: Optimization (14.7)
W 9 Lecture 14: Optimization with constraints (14.8)
F 11 Homework 8
M 14 Fall Break (no class)
W 16 Lecture 15: Taylor's formula (14.9)
Review
F 18 Exam 2 rework copy scores
M 21 Lecture 16: Double Integrals (15.1-2)
approximate actual textbook coverage: 15.1
W 23 Lecture 17: Volumes and areas (15.3)
F 25 Chapter 15 preskills
M 28 Lecture 18: Polar coordinates (15.4)
W 30 Lecture 19: Triple integrals (15.5)
F Nov 1 Homework 9
M 4 Lecture 20: Applications to physical quantites
Center of Mass (15.6)
W 6 Lecture 21: Cylindical and spherical coordinates (15.7)
F 8 Homework 10
M 11 Lecture 22: Substitutions (15.8)
W 13 Lecture 23: Review
F 15 Homework 11
M 18 Exam 3 scores
W 20 Lecture 24: Motion on a surface
F 22 Homeowork 12
M 25 Lecture 25: Integration on curves
Integration on surfaces
General scaling factors
Motion on a curve
W 27 Recess (no class)
F 29 Holiday (no studio)
M Dec 2 Lecture 26: Last lecture (Review)
M 9 Final Exam 2:40-5:30 scores
Monday December 9 Final Exam J Sections (2:40-5:30)