
Lecture meeting times: Lecture G on MW 2:00-2:50pm in Kendeda 152 and Lecture J on MW 3:30-4:20pm in Paper Tricentennial 109.
Instructor: Sal Barone
Office: Skiles 013 and https://gatech.zoom.us/my/sbarone7
Office hours: W 11:00am-1:00pm (and by appointment, email me) - all office hours are in-person.
email: sbarone at math.gatech.edu
Links
- Blank Lecture Notes
- Annotated Lecture Notes
- Week 1 - R^3, dot product, cross product
- Week 2 - lines and planes, curves and their tangents, vector-valued functions
- Week 3 - arc length of curves, arc length parameterization
- Week 4 - arc length parameter, curvature, unit tangent and unit normal vectors, level sets
- Week 5 - limits and continuity, Exam 1 review
- Week 6 - Exam 1, partial derivatives
- Week 7 - total derivative, differentiability, the chain rule <-- Updated 10/1
- Week 8
- Week 9
- Week 10
- Week 11
- Week 12
- Week 13
- Week 14
- Week 15
- Final review days
- Peer Assessment activities (PAs)
- Exam 1 HWHW Set covers §12.1-12.6, 13.1-13.4, 14.1-14.2
- Exam 2 HWHW Set covers §14.3-14.8, 15.1-15.4
- Exam 3 HWHW Set covers §15.5-15.8, 16.1-16.8
- Homework set full solutions
Studio Worksheets and Take-home Quizzes
Midterm Review Material from Math 2551 (still useful)
- Formula sheet for Exam 1
- Formula sheet for Exam 2
- Formula sheet for Exam 3
- Review worksheet for Exam 1
- Review worksheet for Exam 2
- Review worksheet for Exam 3
- Review worksheet for Final Exam
- Sample exams
- Annotated Lecture Notes from my Summer '25 Math 2551 class
- Week 1 - 3D coordinate systems, cross product, lines and planes, cylinders and quadratic surfaces, curves and tangents, integrals of vector functions, tangents
- Week 2 - arc length, curvature, normal vectors, functions of several variables, limits and continuity in higher dimensions
- Week 3 - Exam 1, partial derivatives, the chain rule
- Week 4 - directional derivatives, gradient vectors, tangent planes, extreme values and saddle points, Lagrange multipliers
- Week 5 and 6 - double and iterated integrals over rectangles, double integrals over general regions, area by double integrals, double integrals in polar form, Exam 2
- Week 7 - triple integrals in rectangular coordinates, applications, triple integrals in cylindrical and spherical coordinates, substitution in multiple integrals
- Week 8 - line integrals of scalar functions, vector fields, work, circulation, and flux, path independence, conservative fields, and potential functions
- Week 9 - Green's Theorem, surfaces and area, surface integrals, Stokes' Theorem
- Week 10 - The Divergence Theorem and a Unified Theory, Exam 3
- Final Exam in-class review days
Supplementary Material for Prerequisites
Important dates
- Aug 18 First day of classes
- Sep 1 Labor Day (No class)
- Sep 22 Exam 1
- Oct 6 Progress reports due
- Oct 6-7 Fall Break (No class
- Oct 24 Last day to withdraw with a W
- Nov 3 Exam 2
- Nov 26-28 Thanksgiving Break (No Class)
- Dec 1-2 Last day of lecture/studio
- Dec 5 FINAL EXAM Section G on Friday, Dec 5 from 2:40pm -- 5:30pm in TBD
- Dec 10 FINAL EXAM Section J on Wednesday, Dec 10 from 2:40pm -- 5:30pm in TBD
Studio Meeting Times
CRN |
COURSE |
Section |
Instructor(s) |
Days |
Time (start) |
Time (end) |
Building |
Room |
89681 |
2550 |
G |
Barone, Salvador |
MW |
1400 |
1450 |
Kendeda |
152 |
91529 |
2550 |
G01 |
Nwagwu, Chijindum |
F |
1100 |
1150 |
Skiles |
156 |
91530 |
2550 |
G02 |
Seabold, Jasper |
F |
1100 |
1150 |
Skiles |
257 |
91531 |
2550 |
G03 |
Dossani, Neha |
F |
1100 |
1150 |
Skiles |
168 |
91532 |
2550 |
G04 |
Smith, Armani |
F |
1100 |
1150 |
Skiles |
154 |
91533 |
2550 |
G05 |
Zhou, Keru |
F |
1100 |
1150 |
Skiles |
254 |
86845 |
2550 |
J |
Barone, Salvador |
MW |
1530 |
1645 |
Paper Tricent |
109 |
91535 |
2550 |
J01 |
Cascone, Francesco |
F |
1230 |
1320 |
Skiles |
169 |
91536 |
2550 |
J02 |
Zhou, Keru |
F |
1230 |
1320 |
Skiles |
171 |
91537 |
2550 |
J03 |
Seabold, Jasper |
F |
1230 |
1320 |
Skiles |
256 |
91538 |
2550 |
J04 |
Smith, Armani |
F |
1230 |
1320 |
Skiles |
371 |
91539 |
2550 |
J05 |
Dossani, Neha |
F |
1230 |
1320 |
Skiles |
170 |
Web links