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Lecture meeting times: Lecture J/HP on TTh 2:00-2:50pm in CoC 16
Instructor: Sal Barone
Office: Skiles 013 and https://gatech.zoom.us/my/sbarone7
Office hours: T 11:00am-1:00pm (and by appointment, email me) - all office hours are in-person.
email: sbarone at math.gatech.edu
Links
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- Week 13 and 14 BLANK <-- New!
- Week 15 BLANK
- Final review days
- 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
- Week 8 - tangent planes, optimization
- Week 9 - optimization (cont.), constrained optimization and Lagrange multipliers
- Week 10 - double integrals, iterated integrals, x-simple and y-simple
- Week 11 - area, average value, polar coordinates
- Week 12 - Exam 2, triple integrals
- Week 13 and 14 - triple integrals (day 2), spherical and cylindrical coordinates
- Week 15 - change of variables <-- Updated 11/24!
- Final review days
- Peer Assessment activities (PAs)
- PA Grader Guidelines
- PA #1A and key
- PA #1B and key
- PA #2A and key
- PA #2B and key
- PA #3A and key
- PA #3B and key
- PA #4A and key
- PA #4B and key
- PA #5A and key
- PA #5B and key
- PA #6A and key
- PA #6B and key
- PA #7A and key
- PA #7B and key
- 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
- Final HWHW Set covers §15.5-15.8
- Homework set full solutions
Studio Worksheets and Take-home Quizzes
Midterm Review Material from Math 2551
- Formula sheet for Exam 1
- Formula sheet for Exam 2
- Formula sheet for Final Exam
- 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
- Jan 12 First day of classes
- Jan 19 MLK Jr. Day (No class)
- Feb 5 Exam 1
- Mar 2 Progress reports due
- Mar 12 Exam 2
- Mar 18 Last day to withdraw with a W
- Mar 23-27 Spring Break (No Class)
- Apr 23 Exam 3
- Apr 27-28 Last day of lecture/studio
- Apr 30 FINAL EXAM Section J/HP on Thursday, Apr 30 from 2:40pm -- 5:30pm in TBD
Studio Meeting Times
| CRN |
COURSE |
Section |
Instructor(s) |
Days |
Time (start) |
Time (end) |
Building |
Room |
| 27159 |
2551 |
J |
Barone, Salvador |
TR |
1400 |
1515 |
College of Computing |
16 |
| 32868 |
2551 |
J01 |
Hande, Anand |
MW |
1400 |
1450 |
Skiles |
169 |
| 30206 |
2551 |
J02 |
Hande, Anand |
MW |
1500 |
1550 |
Skiles |
169 |
| 24592 |
2551 |
J03 |
Zhang, Shenduo |
MW |
1400 |
1450 |
Skiles |
256 |
| 26729 |
2551 |
J04 |
Zhang, Shenduo |
MW |
1500 |
1550 |
Skiles |
256 |
| 28661 |
2551 |
J05 |
Brunner, Seth |
MW |
1400 |
1450 |
Skiles |
170 |
Web links
