Course Modules

Start Here

Start Here Start Here

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Course Welcome Page Course Welcome Page 1

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Page

Syllabus Syllabus 2

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Chapter 0: Preliminaries

Chapter 0: Preliminaries Chapter 0: Preliminaries

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Mathematical notations and symbols Mathematical notations and symbols 1

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Attachment

How_to_write_mathematics.pdf How_to_write_mathematics.pdf 2

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Page

Introductory Videos Introductory Videos 3

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Assignment

WebWork - Orientation WebWork - Orientation 100 4

assignment 613295 1

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Chapter 1: Vectors

Chapter 1: Vectors Chapter 1: Vectors

Attachment

Introduction to Vector Spaces. Introduction to Vector Spaces. 1

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Assignment

Vectors Vectors 100 3

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Assignment

The Dot Product The Dot Product 100 5

assignment 613302 1

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Assignment

The Vector ("Cross") Product The Vector ("Cross") Product 100 6

assignment 613303 1

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Assignment

Exam 1 Review Exam 1 Review 0 8

assignment 613305 1

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Chapter 2: Differentiation in Several Variables

Chapter 2: Differentiation in Several Variables Chapter 2: Differentiation in Several Variables

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Cooling of a Hot Metal Plate Cooling of a Hot Metal Plate 1

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Page

Conic Sections Review Conic Sections Review 2

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Page

Quadric Surfaces Quadric Surfaces 3

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Page

Geogebra App Illustrating Partial Derivatives Geogebra App Illustrating Partial Derivatives 7

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External Url

The Directional Derivative The Directional Derivative 8

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Assignment

Tangent Planes and Differentials Tangent Planes and Differentials 100 10

assignment 613315 1

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Assignment

The chain rule The chain rule 100 11

assignment 613316 1

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Assignment

The directional derivative and gradient The directional derivative and gradient 100 12

assignment 613317 1

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Assignment

Extreme Value Problems Extreme Value Problems 100 13

assignment 613318 1

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Page

Lagrange Multiplier Videos Lagrange Multiplier Videos 14

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Assignment

Extreme Value Problems with Constraints: The Method of Lagrange Multipliers Extreme Value Problems with Constraints: The Method of Lagrange Multipliers 100 15

assignment 613319 1

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Assignment

Exam 3 Review Exam 3 Review 100 26

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Chapter 3: Vector-Valued Functions

Chapter 3: Vector-Valued Functions Chapter 3: Vector-Valued Functions

Assignment

Vector Valued Functions Vector Valued Functions 100 1

assignment 613330 1

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Assignment

Arclength Curvature TNB vectors Arclength Curvature TNB vectors 100 2

assignment 687656 1

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Attachment

exam2rev.pdf exam2rev.pdf 5

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Attachment

Exam 2 Review Answers Exam 2 Review Answers 6

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Chapter 5: Multiple Integration

Chapter 5: Multiple Integration Chapter 5: Multiple Integration

Page

Double Integral Visualization Double Integral Visualization 1

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Page

Double Integral Program in the Julia Language Double Integral Program in the Julia Language 2

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Assignment

Double Integrals Double Integrals 100 3

assignment 613343 1

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Assignment

Double Integrals in Polar Coordinates Double Integrals in Polar Coordinates 100 4

assignment 613344 1

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Assignment

Triple Integrals in Rectangular Coordinates Triple Integrals in Rectangular Coordinates 100 5

assignment 613345 1

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Assignment

Triple Integrals in Spherical and Cylindrical Coordinates Triple Integrals in Spherical and Cylindrical Coordinates 100 6

assignment 613346 1

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Assignment

Exam 4 Review Problems and Answers Exam 4 Review Problems and Answers 8

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Attachment

Exam4ReviewAns.pdf Exam4ReviewAns.pdf 9

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Assignment

Exam 4: Multiple Integration Exam 4: Multiple Integration 20 10

assignment 613350 1

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Assignment

Assignment 2 Assignment 2 18 11

assignment 702520 1

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Chapter 6: Scalar and Vector Line Integrals

Chapter 6: Scalar and Vector Line Integrals Chapter 6: Scalar and Vector Line Integrals

Page

Line Integral Visualization Line Integral Visualization 1

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Attachment

A_Tricky_Line_Integral.pdf A_Tricky_Line_Integral.pdf 2

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Vector Fields and Green's Theorem

Vector Fields and Green's Theorem Vector Fields and Green's Theorem

Assignment

Line Integrals of a Scalar Function Line Integrals of a Scalar Function 100 2

assignment 613352 1

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Assignment

Line Integrals over Vector Fields Line Integrals over Vector Fields 100 3

assignment 716455 1

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Assignment

Green's Theorem Green's Theorem 100 4

assignment 613353 1

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Page

Mathologer video about Green's Theorem Mathologer video about Green's Theorem 6

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Final Exam Review

Final Exam Review Final Exam Review

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Final Exam Details Final Exam Details 1

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Attachment

Math253S19_FXmReview.pdf Math253S19_FXmReview.pdf 5

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Page

Final Exam Review Answers Final Exam Review Answers 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete