Course Modules: MATH-253-OLH-Calcu/Analytic Geometry III-CRN 44563

Start Here

Start Here Start Here

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Course Overview and Welcome Page Course Overview and Welcome Page 1

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Preliminaries

Preliminaries Preliminaries

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Mathematical notations and symbols Mathematical notations and symbols 1

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Introductory Videos Introductory Videos 2

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Zoom considerations Zoom considerations 3

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Pronto Social Engagement Tool Pronto Social Engagement Tool 4

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Resources

Resources Resources

Context Module Sub Header

Text Book 1

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Attachment

Multivariable_Calculus_Shimamoto.pdf Multivariable_Calculus_Shimamoto.pdf 2

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Math 253 Youtube Videos and Playlists

Math 253 Youtube Videos and Playlists Math 253 Youtube Videos and Playlists

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Dr. Trefor Bazett's Multivariable & Vector Calculus Playlists Dr. Trefor Bazett's Multivariable & Vector Calculus Playlists 1

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Week 1: 1/13 to 1/17

Week 1: 1/13 to 1/17 Week 1: 1/13 to 1/17

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Read This First! Read This First! 1

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Week 1 Overview Week 1 Overview 2

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Attachment

Introduction to Vector Spaces. Introduction to Vector Spaces. 3

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Context Module Sub Header

Videos and Notes 4

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Vectors: Introduction and Basic Operations Vectors: Introduction and Basic Operations 5

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Section 1.1: Vectors and Vector Arithmetic (012021) Section 1.1: Vectors and Vector Arithmetic (012021) 6

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Solutions to Some Problems in Section 1.1; Vector Spaces and the Formal Definiton of a Vector. (012121) Solutions to Some Problems in Section 1.1; Vector Spaces and the Formal Definiton of a Vector. (012121) 7

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Examples of Vector Spaces; Standard Basis Vectors in \(\mathbb{R}^n\) (012221) Examples of Vector Spaces; Standard Basis Vectors in \(\mathbb{R}^n\) (012221) 8

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Context Module Sub Header

Homework Problems 9

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Assignment

WebWork: Orientation (MUST be competed by January 15 if you wish to remain in the class!) WebWork: Orientation (MUST be competed by January 15 if you wish to remain in the class!) 100 10

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Section 1.1: Vectors Section 1.1: Vectors 11

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Assignment

Webwork: Vectors Webwork: Vectors 100 12

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Week 2: 1/20 to 1/24

Week 2: 1/20 to 1/24 Week 2: 1/20 to 1/24

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Week 2 Overview Week 2 Overview 1

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Context Module Sub Header

Videos and Notes 2

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Representing a Linear Transformation as a Matrix-vector Product (012521) Representing a Linear Transformation as a Matrix-vector Product (012521) 3

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Examples: Linear Transformations as Matrix-vector Products (012621) Examples: Linear Transformations as Matrix-vector Products (012621) 4

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Composition of Linear Transformations; Dot Product of two Vectors; Matrix Transpose; Two Views of Matrix-vector Product (012721) Composition of Linear Transformations; Dot Product of two Vectors; Matrix Transpose; Two Views of Matrix-vector Product (012721) 5

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The Dot Product of Two Vectors The Dot Product of Two Vectors 6

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Matrix Notation; Definition of the Product of two Matrices; Examples (012821) Matrix Notation; Definition of the Product of two Matrices; Examples (012821) 7

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Context Module Sub Header

Homework Problems 8

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Section 1.2: Linear Transformations Section 1.2: Linear Transformations 9

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Section 1.3: The Matrix of a Linear Transformation Section 1.3: The Matrix of a Linear Transformation 10

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Section 1.4: Matrix Multiplication Section 1.4: Matrix Multiplication 11

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Section 1.5: Geometry of the Dot Product Section 1.5: Geometry of the Dot Product 13

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Assignment

Webwork: Sections 1.3 and 1.4 Webwork: Sections 1.3 and 1.4 100 14

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Assignment

Webwork Section 1.5: Dot Product Webwork Section 1.5: Dot Product 100 15

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Week 3: 1/27 to 1/31

Week 3: 1/27 to 1/31 Week 3: 1/27 to 1/31

Page

Week 3 Overview Week 3 Overview 1

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Assignment

Exam 1 Exam 1 132 2

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Context Module Sub Header

Visualizations 3

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Geogebra: Velocity in Projectile Motion Geogebra: Velocity in Projectile Motion 4

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Context Module Sub Header

Videos and Notes 6

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Solutions to Some Problems in the Text Book (012921) Solutions to Some Problems in the Text Book (012921) 7

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Properties of the Dot Product: Vector Length, Distance, Angle; Othogonality (020121) Properties of the Dot Product: Vector Length, Distance, Angle; Othogonality (020121) 8

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Solutions to Some Problems in Section 1.5; Introduction to Determinants (020221) Solutions to Some Problems in Section 1.5; Introduction to Determinants (020221) 9

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Properties of Determinants; Calculating the Determinant of a 3x3 Matrix; Introduction to Vector Valued Functions (Space Curves) (020321) Properties of Determinants; Calculating the Determinant of a 3x3 Matrix; Introduction to Vector Valued Functions (Space Curves) (020321) 10

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Examples of Vector Valued Functions; Lines in \(\mathbb{R}^n\) (020421) Examples of Vector Valued Functions; Lines in \(\mathbb{R}^n\) (020421) 11

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Solutions to Some Example Problems; Circular Helix; Velocity, Speed and Acceleration Along a Space Curve (020521) Solutions to Some Example Problems; Circular Helix; Velocity, Speed and Acceleration Along a Space Curve (020521) 12

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Context Module Sub Header

Homework Problems 13

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Section 1.6: Determinants Section 1.6: Determinants 14

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Section 2.1: Parametrizations (Curves in \(\mathbb{R}^n\)) Section 2.1: Parametrizations (Curves in \(\mathbb{R}^n\)) 15

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Assignment

Webwork Section 1.6: Determinants Webwork Section 1.6: Determinants 100 16

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Assignment

Webwork section 2.1 Webwork section 2.1 100 17

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Week 4: 2/3 to 2/7

Week 4: 2/3 to 2/7 Week 4: 2/3 to 2/7

Page

Week 4 Overview Week 4 Overview 1

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Context Module Sub Header

Videos and Notes 2

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Speed of an Object Moving Along a Parameterized Path (020921) Speed of an Object Moving Along a Parameterized Path (020921) 3

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Arclength of a Curve and the Arclength Function (021021) Arclength of a Curve and the Arclength Function (021021) 4

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Solution to a Problem; Integrals of Functions Defined on Curves (021121) Solution to a Problem; Integrals of Functions Defined on Curves (021121) 5

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Examples: Integrals of Functions along Curves (021621) Examples: Integrals of Functions along Curves (021621) 6

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Examples: Integrals with respect to arclength (021721) Examples: Integrals with respect to arclength (021721) 7

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Context Module Sub Header

Homework Problems 8

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Assignment

Webwork: Section 2.2 Webwork: Section 2.2 100 9

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Section 2.3: Integrals with respect to Arc Length Section 2.3: Integrals with respect to Arc Length 10

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Week 5: 2/10 to 2/14

Week 5: 2/10 to 2/14 Week 5: 2/10 to 2/14

Page

Week 5 Overview Week 5 Overview 1

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Context Module Sub Header

Videos and Notes 2

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Section 2.5: The vector (cross) product (021821) Section 2.5: The vector (cross) product (021821) 3

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Cross product properties (021921) Cross product properties (021921) 4

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Geometry of the Cross Product Vector; Triple Scalar Product; Frenet Vectors (022221) Geometry of the Cross Product Vector; Triple Scalar Product; Frenet Vectors (022221) 5

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The Unit Tangent, Normal and Binormal Vectors (022321) The Unit Tangent, Normal and Binormal Vectors (022321) 6

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Example: Unit Tangent, Normal and Binormal vectors on a Helix (022421) Example: Unit Tangent, Normal and Binormal vectors on a Helix (022421) 7

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Context Module Sub Header

Homework Problems 8

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Section 2.4: The Geometry of Curves (Tangent and Normal Vectors) Section 2.4: The Geometry of Curves (Tangent and Normal Vectors) 9

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Section 2.5: The Cross Product Section 2.5: The Cross Product 10

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Section 2.6: Frenet Vectors Section 2.6: Frenet Vectors 11

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Assignment

Webwork: The Vector (Cross) Product Webwork: The Vector (Cross) Product 100 12

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Week 6: 2/17 to 2/21

Week 6: 2/17 to 2/21 Week 6: 2/17 to 2/21

Page

Week 6 Overview Week 6 Overview 1

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Context Module Sub Header

Problem Solutions 2

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Textbook Sections 2.4 and 2.6 Solutions Textbook Sections 2.4 and 2.6 Solutions 3

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Section 2.5 solutions Section 2.5 solutions 4

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Videos and Notes 5

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Introduction to Real Valued, Multi-variable Functions (022521) Introduction to Real Valued, Multi-variable Functions (022521) 6

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Examples of Mult-variable functions (022621) Examples of Mult-variable functions (022621) 7

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Graphs and Levels Sets in \(\mathbb{R}^3\) (030121) Graphs and Levels Sets in \(\mathbb{R}^3\) (030121) 8

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Spheres in \(\mathbb{R}^n\), Planes in \(\mathbb{R}^3\) (030221) Spheres in \(\mathbb{R}^n\), Planes in \(\mathbb{R}^3\) (030221) 9

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Context Module Sub Header

Homework Problems 10

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Section 3.1: Graphs and Level Sets Section 3.1: Graphs and Level Sets 11

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Section 3.2: More Surfaces in R^3 Section 3.2: More Surfaces in R^3 12

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Section 3.3: The Equation of a Plane Section 3.3: The Equation of a Plane 13

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Week 7: 2/24 to 2/28

Week 7: 2/24 to 2/28 Week 7: 2/24 to 2/28

Page

Week 7 Overview Week 7 Overview 1

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Context Module Sub Header

Videos and Notes 2

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Planes in \(\mathbb{R}^3\) cont'd; Open and Closed Sets in \(\mathbb{R}^n\) (030321) Planes in \(\mathbb{R}^3\) cont'd; Open and Closed Sets in \(\mathbb{R}^n\) (030321) 3

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Open and Closed Sets in \(\mathbb{R}^n\) cont'd, with Examples. (030421) Open and Closed Sets in \(\mathbb{R}^n\) cont'd, with Examples. (030421) 4

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Intersections of Open Sets in \(\mathbb{R}^n\) (030521) Intersections of Open Sets in \(\mathbb{R}^n\) (030521) 5

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Introduction to Continuity of Multivariable Functions (030821) Introduction to Continuity of Multivariable Functions (030821) 6

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Definition (with examples) of the Continuity of \(f: \mathbb{R}^n\to\mathbb{R}^m\) (030921) Definition (with examples) of the Continuity of \(f: \mathbb{R}^n\to\mathbb{R}^m\) (030921) 7

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Homework Problems 8

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Sections 3.4 -- 3.6 Sections 3.4 -- 3.6 9

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Week 8: 3/3 to 3/7

Week 8: 3/3 to 3/7 Week 8: 3/3 to 3/7

Context Module Sub Header

Problem Solutions 1

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Textbook sections 3.1 and 3.2 solutions Textbook sections 3.1 and 3.2 solutions 2

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Visualizations 3

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Partial Derivative Visualization Partial Derivative Visualization 4

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Videos and Notes 5

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Continuity Example with an Excursion into Polar Coordinates (031021) Continuity Example with an Excursion into Polar Coordinates (031021) 6

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Cauchy-Schwarts and Triangle Inequalities; Continuity Theorems (031121) Cauchy-Schwarts and Triangle Inequalities; Continuity Theorems (031121) 7

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Continuity of Function Compositions; Limit Definition; Problem from Textbook (031221) Continuity of Function Compositions; Limit Definition; Problem from Textbook (031221) 8

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Definition of the derivative of a function \(f: \mathbb{R}^n\to\mathbb{R}\) (031521) Definition of the derivative of a function \(f: \mathbb{R}^n\to\mathbb{R}\) (031521) 9

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The matrix representation of the derivative of a function \(f: \mathbb{R}^n\to\mathbb{R}\); First order affine approximation of \(f\) (031621) The matrix representation of the derivative of a function \(f: \mathbb{R}^n\to\mathbb{R}\); First order affine approximation of \(f\) (031621) 10

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Context Module Sub Header

Homework Problems 11

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Assignment

Webwork: Shimamoto section 4.1 Webwork: Shimamoto section 4.1 100 12

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Week 9: 3/10 to 3/14

Week 9: 3/10 to 3/14 Week 9: 3/10 to 3/14

Context Module Sub Header

Exam 2

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Assignment

Shimamoto Ch2 and Ch3 Exam Shimamoto Ch2 and Ch3 Exam 63 3

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Problem Solutions 4

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Solutions to problems assigned in sections 3.4 to 3.8 Solutions to problems assigned in sections 3.4 to 3.8 5

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Documents 6

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External Tool

Area_Transformation_by_Linear_Mappings.pdf Area_Transformation_by_Linear_Mappings.pdf 7

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Context Module Sub Header

Visualizations 8

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WW Gradient #4 Visualization WW Gradient #4 Visualization 9

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Directional Derivative Interpretations Directional Derivative Interpretations 10

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Directional Derivative Visualization Directional Derivative Visualization 11

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Videos and Notes 12

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Definiton of differentiability of \(f\) at \(x = a\); Examples (031721) Definiton of differentiability of \(f\) at \(x = a\); Examples (031721) 14

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Differentiablilty example continued; Differentiability theorems (031821) Differentiablilty example continued; Differentiability theorems (031821) 15

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Example problem from the textbook; Geometric interpretation of partial derivatives for functions \(f: \mathbb{R}^2\to\mathbb{R}\) (031921) Example problem from the textbook; Geometric interpretation of partial derivatives for functions \(f: \mathbb{R}^2\to\mathbb{R}\) (031921) 16

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Section 4.5: The Little Chain Rule (032221) Section 4.5: The Little Chain Rule (032221) 17

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Section 4.6: The Directional Derivative (032321) Section 4.6: The Directional Derivative (032321) 18

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The Directional Derivative (cont'd); Examples; The Gradient and Maximum Rate of Change (032421) The Directional Derivative (cont'd); Examples; The Gradient and Maximum Rate of Change (032421) 19

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Context Module Sub Header

Homework Problems 20

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Section 4.5 Section 4.5 21

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Assignment

Webwork: The Derivative Webwork: The Derivative 100 22

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Assignment

Webwork: The Gradient Webwork: The Gradient 100 23

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Week 10: 3/17 to 3/21

Week 10: 3/17 to 3/21 Week 10: 3/17 to 3/21

Context Module Sub Header

Problem Solutions 1

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WW_Gradient_n4_solution WW_Gradient_n4_solution 2

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Text book solutions section 4.5 Text book solutions section 4.5 3

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Context Module Sub Header

Visualizations 4

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Double Integral Visualization Double Integral Visualization 5

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Context Module Sub Header

Videos and Notes 6

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Practice Problems; The Gradient as a Normal Vector (Section 4.7) (032521) Practice Problems; The Gradient as a Normal Vector (Section 4.7) (032521) 7

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Section 4.7 (cont'd); Examples; Using the gradient to get equations of tangent spaces. (032621) Section 4.7 (cont'd); Examples; Using the gradient to get equations of tangent spaces. (032621) 8

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Introduction to Integration; Iterated Integrals (040521) Introduction to Integration; Iterated Integrals (040521) 9

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Examples: Finding Volumes using Iterated Integrals (040621) Examples: Finding Volumes using Iterated Integrals (040621) 10

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Example of Evaluating an Iterated Integral; Definition of the Double Integral over Rectangular Regions (040721) Example of Evaluating an Iterated Integral; Definition of the Double Integral over Rectangular Regions (040721) 11

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Determining the Region of Integration of an Iterated Integral; Double Integrals over Non-Rectangular Regions; Evaluating Double Integrals using Iterated Integrals (040821) Determining the Region of Integration of an Iterated Integral; Double Integrals over Non-Rectangular Regions; Evaluating Double Integrals using Iterated Integrals (040821) 12

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Evaluating a Double Integral Example; Definition of Double Integrals over Non-Rectangular Regions; Uses of Double Integrals (040921) Evaluating a Double Integral Example; Definition of Double Integrals over Non-Rectangular Regions; Uses of Double Integrals (040921) 13

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More Uses of Double Integrals with Examples (041221) More Uses of Double Integrals with Examples (041221) 14

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Context Module Sub Header

Homework Problems 15

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Section 4.7 Section 4.7 16

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Assignment

Webwork: Iterated Integrals Webwork: Iterated Integrals 100 17

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Assignment

Webwork: Double Integrals Webwork: Double Integrals 100 18

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Week 11: 3/24 to 3/28

Week 11: 3/24 to 3/28 Week 11: 3/24 to 3/28

Page

Week 12 Overview Week 12 Overview 1

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Context Module Sub Header

Problem Solutions 6

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Text book solutions section 4.7 Text book solutions section 4.7 8

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Context Module Sub Header

Videos and Notes 9

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Parameterized Surfaces in Rectangular and non-Rectangular Coordinates; Polar Coordinates (041321) Parameterized Surfaces in Rectangular and non-Rectangular Coordinates; Polar Coordinates (041321) 10

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Review of Polar Coordinates; Cylindrical and Spherical Coordinates (041621) Review of Polar Coordinates; Cylindrical and Spherical Coordinates (041621) 12

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Spherical Coordinates (cont'd); Examples. (041921) Spherical Coordinates (cont'd); Examples. (041921) 13

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Review of Integrating Functions over Curves; Integrating Functions over Surfaces (042021) Review of Integrating Functions over Curves; Integrating Functions over Surfaces (042021) 14

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Integrating Functions over Surfaces Examples (042121) Integrating Functions over Surfaces Examples (042121) 15

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More Surface Integral Examples (042321) More Surface Integral Examples (042321) 16

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Context Module Sub Header

Homework Problems 17

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Assignment

Surface Integrals Surface Integrals 100 18

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Sections 5.1 and 5.3 Sections 5.1 and 5.3 20

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Sections 5.4 and 5.5 Sections 5.4 and 5.5 21

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Week 12: 3/31 to 4/4 (Spring Recess)

Week 12: 3/31 to 4/4 (Spring Recess) Week 12: 3/31 to 4/4 (Spring Recess)

Week 13: 4/7 to 4/11

Week 13: 4/7 to 4/11 Week 13: 4/7 to 4/11

Assignment

Shimamote Ch 4 Exam Shimamote Ch 4 Exam 58 2

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Context Module Sub Header

Problem Solutions 3

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Attachment

A_Tricky_Line_Integral.pdf A_Tricky_Line_Integral.pdf 4

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Page

Textbook solutions sections 5.3 and 5.4 Textbook solutions sections 5.3 and 5.4 5

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Textbook solutions sections 5.4 and 5.5 Textbook solutions sections 5.4 and 5.5 6

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Context Module Sub Header

Videos and Notes 7

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Polor Coordinates Integral Example; Introduction to Vector Fields (042621) Polor Coordinates Integral Example; Introduction to Vector Fields (042621) 8

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Examples of Vector Fields; The Gradient Field (042721) Examples of Vector Fields; The Gradient Field (042721) 9

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Videos and app on vector fields Videos and app on vector fields 10

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Visualizing Vector Fields; Line Integrals in a Vector Field (Work Integral) (042821) Visualizing Vector Fields; Line Integrals in a Vector Field (Work Integral) (042821) 11

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Component Form of a Line Integral in a Vector Field; Examples; Two Facts about Line Integrals (042921) Component Form of a Line Integral in a Vector Field; Examples; Two Facts about Line Integrals (042921) 12

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Page

Work Done Around a Closed Path Example; Path Dependent and Independent Integrals; Conservative and Non-conservative Vector Fields (043021) Work Done Around a Closed Path Example; Path Dependent and Independent Integrals; Conservative and Non-conservative Vector Fields (043021) 13

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Context Module Sub Header

Homework Problems 14

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Shimamoto: Sections 9.1 and 9.3 Shimamoto: Sections 9.1 and 9.3 15

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Assignment

Webwork: Shimamoto sec 9.1 and 9.3 Webwork: Shimamoto sec 9.1 and 9.3 100 16

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Week 14: 4/14 to 4/18

Week 14: 4/14 to 4/18 Week 14: 4/14 to 4/18

Context Module Sub Header

Videos and Notes 2

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Conservative Vector Fields = Gradient Vector Fields; How to Determine if a Vector Field is Conservative (050321) Conservative Vector Fields = Gradient Vector Fields; How to Determine if a Vector Field is Conservative (050321) 3

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Page

Examples of Conservative and Non-Conservative Vector Fields; Finding the Potential Function of a Conservative Field; Simply Connected Domains (050421) Examples of Conservative and Non-Conservative Vector Fields; Finding the Potential Function of a Conservative Field; Simply Connected Domains (050421) 4

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Page

A Procedural Method for Finding a Potential Function; Integral Around a Closed Loop in a Conservative Field is 0; Introduction to Greene's Theorem (050521) A Procedural Method for Finding a Potential Function; Integral Around a Closed Loop in a Conservative Field is 0; Introduction to Greene's Theorem (050521) 5

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Finding a potential function for a conservative vector field Finding a potential function for a conservative vector field 6

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Greene's Theorem with Examples (050621) Greene's Theorem with Examples (050621) 7

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Page

Greene's Theorem Example; Greene's Theorem in Non-Simply Connected Domains (050721) Greene's Theorem Example; Greene's Theorem in Non-Simply Connected Domains (050721) 8

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Page

Mathologer video about Green's Theorem Mathologer video about Green's Theorem 9

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Context Module Sub Header

Homework Problems 10

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Assignment

Line Integrals over Conservative Vector Fields Line Integrals over Conservative Vector Fields 100 11

assignment 4515954 1

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Assignment

Green's Theorem Green's Theorem 100 12

assignment 4515955 1

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Week 15: 4/21 to 4/25

Week 15: 4/21 to 4/25 Week 15: 4/21 to 4/25

Context Module Sub Header

Problem Solutions 2

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Page

Line Integrals in Vector Fields Solutions Line Integrals in Vector Fields Solutions 4

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Context Module Sub Header

Videos and Notes 5

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Page

Integrals of Vector Fields over Surfaces, Flux, Oriented Surfaces, and Examples (051021) Integrals of Vector Fields over Surfaces, Flux, Oriented Surfaces, and Examples (051021) 6

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Page

More Surface Integral Examples; Surface Integrals over Parameterized Surfaces. (051121) More Surface Integral Examples; Surface Integrals over Parameterized Surfaces. (051121) 7

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Page

Surface Integrals over Parameterized Surface Examples (051221) Surface Integrals over Parameterized Surface Examples (051221) 8

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Page

Green's Theorem Problem Solution; Introduction to Stoke's Theorem with Example (051321) Green's Theorem Problem Solution; Introduction to Stoke's Theorem with Example (051321) 9

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Stoke's Theorem Continued with another Example (051421) Stoke's Theorem Continued with another Example (051421) 10

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Context Module Sub Header

Homework Problems 11

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Page

Shimamoto Sec 9.4 Shimamoto Sec 9.4 12

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Assignment

Stokes' Theorem Stokes' Theorem 100 13

assignment 4515970 1

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Week 16: 4/28 to 5/2

Week 16: 4/28 to 5/2 Week 16: 4/28 to 5/2

Page

Week 16 Overview Week 16 Overview 1

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Context Module Sub Header

Videos and Notes 3

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Page

Green's Theorem: Circulation and Flux Green's Theorem: Circulation and Flux 4

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Page

Surfaces & Surface Area (Part 1) Surfaces & Surface Area (Part 1) 5

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Page

Surfaces & Surface Area (Part 2) Surfaces & Surface Area (Part 2) 6

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Flux Across a Surface Flux Across a Surface 7

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Context Module Sub Header

Homework Problems 13

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Assignment

Green's Theorem: Flux and Circulation Green's Theorem: Flux and Circulation 100 14

assignment 4515984 1

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Assignment

Flux Through Surfaces Flux Through Surfaces 100 15

assignment 4515985 1

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Week 17: 5/5 to 5/9

Week 17: 5/5 to 5/9 Week 17: 5/5 to 5/9

Context Module Sub Header

Videos and Notes 1

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Page

Stokes Theorem Stokes Theorem 2

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Page

The Divergence Theorem The Divergence Theorem 3

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Page

A Unified View A Unified View 4

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Context Module Sub Header

Homework Problems 5

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Assignment

The Divergence Theorem The Divergence Theorem 100 6

assignment 4515995 1

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Week 18: 5/12 to 5/16

Week 18: 5/12 to 5/16 Week 18: 5/12 to 5/16

Week 19: 5/19 to 5/23

Week 19: 5/19 to 5/23 Week 19: 5/19 to 5/23

Assignment

Final Exam Final Exam 96 1

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Course Modules

Start Here

Preliminaries

Resources

Text Book 1

Math 253 Youtube Videos and Playlists

Week 1: 1/13 to 1/17

Videos and Notes 4

Homework Problems 9

Week 2: 1/20 to 1/24

Videos and Notes 2

Homework Problems 8

Week 3: 1/27 to 1/31

Visualizations 3

Videos and Notes 6

Homework Problems 13

Week 4: 2/3 to 2/7

Videos and Notes 2

Homework Problems 8

Week 5: 2/10 to 2/14

Videos and Notes 2

Homework Problems 8

Week 6: 2/17 to 2/21

Problem Solutions 2

Videos and Notes 5

Homework Problems 10

Week 7: 2/24 to 2/28

Videos and Notes 2

Homework Problems 8

Week 8: 3/3 to 3/7

Problem Solutions 1

Visualizations 3

Videos and Notes 5

Homework Problems 11

Week 9: 3/10 to 3/14

Exam 2

Problem Solutions 4

Documents 6

Visualizations 8

Videos and Notes 12

Homework Problems 20

Week 10: 3/17 to 3/21

Problem Solutions 1

Visualizations 4

Videos and Notes 6

Homework Problems 15

Week 11: 3/24 to 3/28

Problem Solutions 6

Videos and Notes 9

Homework Problems 17

Week 12: 3/31 to 4/4 (Spring Recess)

Week 13: 4/7 to 4/11

Problem Solutions 3

Videos and Notes 7

Homework Problems 14

Week 14: 4/14 to 4/18

Videos and Notes 2

Homework Problems 10

Week 15: 4/21 to 4/25

Problem Solutions 2

Videos and Notes 5

Homework Problems 11

Week 16: 4/28 to 5/2

Videos and Notes 3

Homework Problems 13

Week 17: 5/5 to 5/9

Videos and Notes 1

Homework Problems 5

Week 18: 5/12 to 5/16

Week 19: 5/19 to 5/23