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Disclaimer: Much of the original content was created by Dr. Joe Brennan or in collaboration with him. Professor Jeremy Martin has contributed to the slides in Fall 2019. Many of our wonderful graduate students and professors have contributed to the course by proofreading and giving feedback; I appreciate all of them. You will see some the names in the notes but I like to mention Brett Ehrman for his contribution in proofreading in Spring 2023.
The original idea for the template of schedules came from Dr. Sefika Kuzgun. If you are using any of this content, please give credit to the persons it belonged to.
If you are an instructor and wish to use the solutions, rubrics and TA instructions of the worksheets, feel free to contact me.
Syllabus and Schedule
Syllabus and Schedule
Math127-Syllabus.pdfMath127-Schedule.pdfWorksheets Handouts
Worksheets Handouts
WS1.pdfWS2.pdfWS3.pdfWS4.pdfWS5.pdfWS6.pdfWS7.pdfWS8.pdfWS9.pdfWS10.pdfWS11.pdfWS12.pdfWS13.pdfWS14.pdfWS15.pdfWS16.pdfWS17.pdfWS18.pdfWS19.pdfWS20.pdfWS21.pdfWS22.pdfWS23.pdfLecture Notes
Lecture Notes
Pre and Post Lectures: https://www.youtube.com/playlist?list=PLdAr7Wo2nI-04vGhXcrkDgomK0ioU3U8Q
Chapter 12: Review:Vector Operation, Equations of Lines and planes in 3D, 12.6.Quadric Equations, 12.7.Cylindrcial and Spherical Coordinates
Chapter 12: Review:Vector Operation, Equations of Lines and planes in 3D, 12.6.Quadric Equations, 12.7.Cylindrcial and Spherical Coordinates
Math 126 Review Videos:
https://www.youtube.com/playlist?list=PLdAr7Wo2nI-0G-1V_mYtxJ5TGYygTDApa
https://www.youtube.com/playlist?list=PLdAr7Wo2nI-39PgZOAOYrna8cQ2EvCxfe
https://www.youtube.com/playlist?list=PLdAr7Wo2nI-30n43SYXrY33fn66ykrBi_
https://www.youtube.com/playlist?list=PLdAr7Wo2nI-0iIb3hftVAIKrbduzaLhwX
Vector Review Videos:
https://www.youtube.com/playlist?list=PLdAr7Wo2nI-1121C2KI8fAVSE2uScSqe0
https://www.youtube.com/playlist?list=PLdAr7Wo2nI-1sPwY0Z2iPTROAEMANlfEn
Math_127_Introduction.pdfMath_127_Vector ReviewPre.pdfMath_127_Vector Review.pdfMath_127_Section 12.6Pre.pdfMath_127_Section 12.6.pdfMath_127_Section 12.7Pre.pdfMath_127_Section 12.7.pdfChapter 13: 13.1.Vector Values Functions, 13.2.Calculus of Vector Values Functions,13.3. Arc Length, Speed
Chapter 13: 13.1.Vector Values Functions, 13.2.Calculus of Vector Values Functions,13.3. Arc Length, Speed
Math_127_Section 13.1.pdfMath_127_Section 13.1-13.2Pre.pdfMath_127_Section 13.3Pre.pdfMath_127_Section 13.3.pdfChapter 14: 14.1.Functions of 2 or more Variables, 14.2.Limit and Continuity in Several Variables, 14.3.Partial Derivatives, 14.4.Differentiability and Tangant Plane, 14.5.Directional Deribvative and Gradients, 14.6.The Chain Rule, 14.7.Optimization, 14.8. Lagrange Multiplier
Chapter 14: 14.1.Functions of 2 or more Variables, 14.2.Limit and Continuity in Several Variables, 14.3.Partial Derivatives, 14.4.Differentiability and Tangant Plane, 14.5.Directional Deribvative and Gradients, 14.6.The Chain Rule, 14.7.Optimization, 14.8. Lagrange Multiplier
Math_127_Section 14.1.pdfMath_127_Section 14.1Pre.pdfMath_127_Section 14.2Pre.pdfMath_127_Section 14.2.pdfMath_127_Section 14.3Pre.pdfMath_127_Section 14.3.pdfMath_127_Section 14.4Pre.pdfMath_127_Section 14.4.pdfMath_127_Section 14.5Pre.pdfMath_127_Section 14.5.pdfMath_127_Section 14.6Pre.pdfMath_127_Section 14.6.pdfMath_127_Section 14.7Pre.pdfMath_127_Section 14.7Post.pdfMath_127_Section 14.8Pre.pdfMath_127_Section 14.8.pdfChapter 15: 15.1.Integration in 2 Variables, 15.2.Double Integral over General Region, 15.3.Triple Integral, 14.4.Integration in Polar, Spherical and Cylindrical Coordinates, 15.5. Application of Multiple Integrals, 15.6. Change of Variables
Chapter 15: 15.1.Integration in 2 Variables, 15.2.Double Integral over General Region, 15.3.Triple Integral, 14.4.Integration in Polar, Spherical and Cylindrical Coordinates, 15.5. Application of Multiple Integrals, 15.6. Change of Variables
Math_127_Section 15.1Pre.pdfMath_127_Section 15.1.pdfMath_127_Section 15.2Pre.pdfMath_127_Section 15.2.pdfMath_127_Section 15.3Pre.pdfMath_127_Section 15.3.pdfMath_127_Section 15.4Pre.pdfMath_127_Section 15.4.pdfMath_127_Section 15.5Pre.pdfMath_127_Section 15.5.pdfMath_127_Section 15.6Pre.pdfMath_127_Section 15.6.pdfChapter 16: 16.1.Vector fields, 16.2.Line Integrals, 16.3.Conservative Vector Fields, 16.4.Parametrized Surfaces and Surface Integrals, 16.5.Vector Surface Integrals
Chapter 16: 16.1.Vector fields, 16.2.Line Integrals, 16.3.Conservative Vector Fields, 16.4.Parametrized Surfaces and Surface Integrals, 16.5.Vector Surface Integrals
Math_127_Section 16.1Pre.pdfMath_127_Section 16.1.pdfMath_127_Section 16.2Pre.pdfMath_127_Section 16.2.pdfMath_127_Section 16.3Pre.pdfMath_127_Section 16.3.pdfMath_127_Section 16.4Pre.pdfMath_127_Section 16.4.pdfMath_127_Section 16.5Pre.pdfMath_127_Section 16.5.pdfChapter 17: 17.1.Green'S Theorem, 17.2.Stokes' Theorem, 17.3.Divergence Theorem
Chapter 17: 17.1.Green'S Theorem, 17.2.Stokes' Theorem, 17.3.Divergence Theorem
Math_127_Section 17.1Pre.pdfMath_127_Section 17.1.pdfMath_127_Section 17.2Pre.pdfMath_127_Section 17.2.pdfMath_127_Section 17.3Pre.pdfMath_127_Section 17.3.pdfExam review
Exam review
Midterm 1 Review, Practice and a Sample
Midterm 1 Review, Practice and a Sample
Review Videos: https://www.youtube.com/playlist?list=PLdAr7Wo2nI-0jOhj7H4Z1oa3HJ5xFqJvP
Practice Exam Videos: https://www.youtube.com/playlist?list=PLdAr7Wo2nI-1fexEX_5h0k22CjkvT-zq-
Math_127_Review 1.pdfMath_127_Review 1 Solution.pdfMath127_Practice 1.pdfMath127_Practice 1-Solution.pdfFall2022-Math127-Midterm 1.pdfFall2022-Math127-Midterm 1-Solution.pdfMidterm 2 Review, Practice and a Sample
Midterm 2 Review, Practice and a Sample
Review Videos: https://www.youtube.com/playlist?list=PLdAr7Wo2nI-15jOXGlhG0r-cDExI0pGJm
Practice Exam Videos: https://www.youtube.com/playlist?list=PLdAr7Wo2nI-2Ai0l6qQfGZ-Um9TUvpsuc
Midterm 2-Review.pdfMath_127_Review 2 Solution (2).pdfMath127_Practice Exam 2.pdfMath127_Practice Exam 2 Solution.pdfMath127_Fall 2022-Midterm 2 Solutions.pdfMath_127_Review 2 Slides.pdfFinal Review and Practice
Final Review and Practice
Math127-FinalExam-Review-Solution.pdfMath_127_final Review-Solution-Fall 23.pdfSTop Day Review.pdfMath127_Final Practice Solution (2).pdfPage updated
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