Matthew Leingang, profile picture
Uploaded byMatthew Leingang
PDF, PPTX1,457 views

Lesson 18: Geometric Representations of Functions

This document provides an outline for a lesson on geometric representations of functions of several variables. It includes examples of graphing linear functions, paraboloids, hyperbolic paraboloids, and Cobb-Douglas functions. It also discusses contour plots, intersecting cones to get circles, and indifference curves as level curves of utility functions where all points have the same utility value.

Embed presentation

Download as PDF, PPTX
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions
Lesson 18: Geometric Representations of Functions

More Related Content

PDF
Image Compression, Introduction Data Compression/ Data compression, modelling...
bySmt. Indira Gandhi College of Engineering, Navi Mumbai, Mumbai
 
PPT
Linear Algebra and Matrix
byitutor
 
PPTX
Singular Value Decomposition Image Compression
byAishwarya K. M.
 
PPT
Matrices - Mathematics
byDrishti Bhalla
 
PPTX
symmetry in solid state physics rotation
byseema918664
 
PPT
Jumlah dan hasil kali akar akar pers kuadrat
byEngineering Drawings of Buildings 2
 
PDF
Soal osn 2012 smp dengan solusi
bySalman58
 
DOC
Geometri Sahcceri Pada Geometri Eulid
byNailul Hasibuan
 
Image Compression, Introduction Data Compression/ Data compression, modelling...
bySmt. Indira Gandhi College of Engineering, Navi Mumbai, Mumbai
 
Linear Algebra and Matrix
byitutor
 
Singular Value Decomposition Image Compression
byAishwarya K. M.
 
Matrices - Mathematics
byDrishti Bhalla
 
symmetry in solid state physics rotation
byseema918664
 
Jumlah dan hasil kali akar akar pers kuadrat
byEngineering Drawings of Buildings 2
 
Soal osn 2012 smp dengan solusi
bySalman58
 
Geometri Sahcceri Pada Geometri Eulid
byNailul Hasibuan
 

What's hot

PPTX
MAGNETOSTATICS
byKarthik Kathan
 
PPT
Discrete cosine Transform and Digital Image compression.ppt
bykanimozhirajasekaren
 
PDF
Solution of matlab chapter 1
byAhsanIrshad8
 
PPTX
4.3 Determinants and Cramer's Rule
byhisema01
 
PDF
Lesson 5: Matrix Algebra (slides)
byMatthew Leingang
 
PDF
Lecture 14 Properties of Fourier Transform for 2D Signal
byVARUN KUMAR
 
PPTX
Matrix inverse
bymstf mstf
 
PPTX
Gradient , Directional Derivative , Divergence , Curl
byVishalVishwakarma59
 
PPTX
Differential Equations
byKrupaSuthar3
 
PPTX
Bisection method
bykishor pokar
 
PPTX
Pertidaksamaan linear satu variabel
byjoymamuaja
 
PPTX
Perkalian matrik elementer
byTulus Setyawan
 
PDF
Integrals by Trigonometric Substitution
byPablo Antuna
 
PPTX
Aljabar Vektor
byIrvanDzaki
 
PDF
Soal dan pembahasan olimpiade matematika vektor nasional 2013 smp (omvn 2013)...
bySosuke Aizen
 
PDF
Soal matematika sma kelas x semester i
byRiani Anindita
 
PPT
Saccheri 1
bypramithasari27
 
DOCX
Contoh Soal Grafik Fungsi Trigonometri Berserta Jawabannya
byFajar Sahrudin
 
PDF
Contoh Soal UAN - Suku Banyak
byNaufal Irsyad Arzada
 
DOC
221 bat dang thuc
byongdongheo
 
MAGNETOSTATICS
byKarthik Kathan
 
Discrete cosine Transform and Digital Image compression.ppt
bykanimozhirajasekaren
 
Solution of matlab chapter 1
byAhsanIrshad8
 
4.3 Determinants and Cramer's Rule
byhisema01
 
Lesson 5: Matrix Algebra (slides)
byMatthew Leingang
 
Lecture 14 Properties of Fourier Transform for 2D Signal
byVARUN KUMAR
 
Matrix inverse
bymstf mstf
 
Gradient , Directional Derivative , Divergence , Curl
byVishalVishwakarma59
 
Differential Equations
byKrupaSuthar3
 
Bisection method
bykishor pokar
 
Pertidaksamaan linear satu variabel
byjoymamuaja
 
Perkalian matrik elementer
byTulus Setyawan
 
Integrals by Trigonometric Substitution
byPablo Antuna
 
Aljabar Vektor
byIrvanDzaki
 
Soal dan pembahasan olimpiade matematika vektor nasional 2013 smp (omvn 2013)...
bySosuke Aizen
 
Soal matematika sma kelas x semester i
byRiani Anindita
 
Saccheri 1
bypramithasari27
 
Contoh Soal Grafik Fungsi Trigonometri Berserta Jawabannya
byFajar Sahrudin
 
Contoh Soal UAN - Suku Banyak
byNaufal Irsyad Arzada
 
221 bat dang thuc
byongdongheo
 

Viewers also liked

PDF
Lesson 16: Implicit Differentiation
byMatthew Leingang
 
PDF
Lesson 7: Limits at Infinity
byMatthew Leingang
 
PDF
Lesson 13: Rank and Solutions to Systems of Linear Equations
byMatthew Leingang
 
PDF
Lesson 15: Diagonalization
byMatthew Leingang
 
PDF
Lesson 15: The Chain Rule
byMatthew Leingang
 
PDF
Lesson 12: Linear Independence
byMatthew Leingang
 
PDF
Lesson 6: Continuity II, Infinite Limits
byMatthew Leingang
 
PDF
Lesson 12: The Product and Quotient Rule
byMatthew Leingang
 
PDF
Lesson 16 The Spectral Theorem and Applications
byMatthew Leingang
 
PDF
Lesson14: Derivatives of Trigonometric Functions
byMatthew Leingang
 
PDF
Lesson 19: Related Rates
byMatthew Leingang
 
PDF
Lesson17: Functions Of Several Variables
byMatthew Leingang
 
PDF
Lesson 5: Continuity
byMatthew Leingang
 
PDF
Lesson 10: What does f' say about f?
byMatthew Leingang
 
PDF
Lesson05 Continuity Slides+Notes
byMatthew Leingang
 
PDF
Lesson05 Continuity Slides+Notes
byMatthew Leingang
 
PDF
Lesson 13: Rates of Change in Science
byMatthew Leingang
 
PDF
Lesson 9: The Derivative as a Function
byMatthew Leingang
 
PDF
Lesson 8: Tangents, Velocity, the Derivative
byMatthew Leingang
 
PDF
Lesson 10: Inverses
byMatthew Leingang
 
Lesson 16: Implicit Differentiation
byMatthew Leingang
 
Lesson 7: Limits at Infinity
byMatthew Leingang
 
Lesson 13: Rank and Solutions to Systems of Linear Equations
byMatthew Leingang
 
Lesson 15: Diagonalization
byMatthew Leingang
 
Lesson 15: The Chain Rule
byMatthew Leingang
 
Lesson 12: Linear Independence
byMatthew Leingang
 
Lesson 6: Continuity II, Infinite Limits
byMatthew Leingang
 
Lesson 12: The Product and Quotient Rule
byMatthew Leingang
 
Lesson 16 The Spectral Theorem and Applications
byMatthew Leingang
 
Lesson14: Derivatives of Trigonometric Functions
byMatthew Leingang
 
Lesson 19: Related Rates
byMatthew Leingang
 
Lesson17: Functions Of Several Variables
byMatthew Leingang
 
Lesson 5: Continuity
byMatthew Leingang
 
Lesson 10: What does f' say about f?
byMatthew Leingang
 
Lesson05 Continuity Slides+Notes
byMatthew Leingang
 
Lesson05 Continuity Slides+Notes
byMatthew Leingang
 
Lesson 13: Rates of Change in Science
byMatthew Leingang
 
Lesson 9: The Derivative as a Function
byMatthew Leingang
 
Lesson 8: Tangents, Velocity, the Derivative
byMatthew Leingang
 
Lesson 10: Inverses
byMatthew Leingang
 

Similar to Lesson 18: Geometric Representations of Functions

PPTX
Graphing a line
bycathyanns
 
PPT
Solving quadratics by graphing notes
byMichelle Barnhill
 
PPTX
Maximum and minimum
byshirleyaporter
 
PPT
Introduction to Functions of Several Variables
byNhan Nguyen
 
PDF
Chapter 5 Student Success Sheets
bykevinryanclark
 
PPTX
fundamentals of 2D and 3D graphs
byArjuna Senanayake
 
PPT
Graphs 1
byTerry Golden
 
PDF
Lesson 10: Functions and Level Sets
byMatthew Leingang
 
DOC
Y=mx+c card sort
byAngela Phillips
 
DOCX
Reciprocal functions
byChris Hunter
 
PPT
Graph functions
bydaisy_yani
 
PDF
Day 1 intro to functions
byErik Tjersland
 
PDF
Amth250 octave matlab some solutions (3)
byasghar123456
 
PPT
Limits At Infinity Part2 12.17.07
bychrismac47
 
PDF
Tut5
byManoj Ghorpade
 
PPTX
Alg2 lesson 7-2
byCarol Defreese
 
PPTX
December10
bykhyps13
 
PDF
Ch8
bysupoteta
 
PPT
17481 1235049029519454-2
byBarez rozhbayani
 
PPSX
Coordinate plane with voice
byrhafford
 
Graphing a line
bycathyanns
 
Solving quadratics by graphing notes
byMichelle Barnhill
 
Maximum and minimum
byshirleyaporter
 
Introduction to Functions of Several Variables
byNhan Nguyen
 
Chapter 5 Student Success Sheets
bykevinryanclark
 
fundamentals of 2D and 3D graphs
byArjuna Senanayake
 
Graphs 1
byTerry Golden
 
Lesson 10: Functions and Level Sets
byMatthew Leingang
 
Y=mx+c card sort
byAngela Phillips
 
Reciprocal functions
byChris Hunter
 
Graph functions
bydaisy_yani
 
Day 1 intro to functions
byErik Tjersland
 
Amth250 octave matlab some solutions (3)
byasghar123456
 
Limits At Infinity Part2 12.17.07
bychrismac47
 
Tut5
byManoj Ghorpade
 
Alg2 lesson 7-2
byCarol Defreese
 
December10
bykhyps13
 
Ch8
bysupoteta
 
17481 1235049029519454-2
byBarez rozhbayani
 
Coordinate plane with voice
byrhafford
 

More from Matthew Leingang

PDF
Lesson 25: Evaluating Definite Integrals (slides)
byMatthew Leingang
 
PDF
Lesson 26: The Fundamental Theorem of Calculus (slides)
byMatthew Leingang
 
PDF
Lesson 22: Optimization Problems (slides)
byMatthew Leingang
 
PDF
Lesson 21: Curve Sketching (slides)
byMatthew Leingang
 
PDF
Lesson 27: Integration by Substitution (slides)
byMatthew Leingang
 
PDF
Lesson 20: Derivatives and the Shapes of Curves (slides)
byMatthew Leingang
 
PDF
Lesson 24: Areas and Distances, The Definite Integral (slides)
byMatthew Leingang
 
PDF
Lesson 22: Optimization Problems (handout)
byMatthew Leingang
 
PDF
Lesson 23: Antiderivatives (slides)
byMatthew Leingang
 
PDF
Lesson 21: Curve Sketching (handout)
byMatthew Leingang
 
PPT
Streamlining assessment, feedback, and archival with auto-multiple-choice
byMatthew Leingang
 
PPT
Making Lesson Plans
byMatthew Leingang
 
PDF
Lesson 27: Integration by Substitution (handout)
byMatthew Leingang
 
PDF
Lesson 26: The Fundamental Theorem of Calculus (slides)
byMatthew Leingang
 
PDF
Lesson 24: Areas and Distances, The Definite Integral (handout)
byMatthew Leingang
 
PDF
Lesson 25: Evaluating Definite Integrals (handout)
byMatthew Leingang
 
PDF
Electronic Grading of Paper Assessments
byMatthew Leingang
 
PDF
Lesson 20: Derivatives and the Shapes of Curves (handout)
byMatthew Leingang
 
PDF
Lesson 26: The Fundamental Theorem of Calculus (handout)
byMatthew Leingang
 
PDF
Lesson 23: Antiderivatives (slides)
byMatthew Leingang
 
Lesson 25: Evaluating Definite Integrals (slides)
byMatthew Leingang
 
Lesson 26: The Fundamental Theorem of Calculus (slides)
byMatthew Leingang
 
Lesson 22: Optimization Problems (slides)
byMatthew Leingang
 
Lesson 21: Curve Sketching (slides)
byMatthew Leingang
 
Lesson 27: Integration by Substitution (slides)
byMatthew Leingang
 
Lesson 20: Derivatives and the Shapes of Curves (slides)
byMatthew Leingang
 
Lesson 24: Areas and Distances, The Definite Integral (slides)
byMatthew Leingang
 
Lesson 22: Optimization Problems (handout)
byMatthew Leingang
 
Lesson 23: Antiderivatives (slides)
byMatthew Leingang
 
Lesson 21: Curve Sketching (handout)
byMatthew Leingang
 
Streamlining assessment, feedback, and archival with auto-multiple-choice
byMatthew Leingang
 
Making Lesson Plans
byMatthew Leingang
 
Lesson 27: Integration by Substitution (handout)
byMatthew Leingang
 
Lesson 26: The Fundamental Theorem of Calculus (slides)
byMatthew Leingang
 
Lesson 24: Areas and Distances, The Definite Integral (handout)
byMatthew Leingang
 
Lesson 25: Evaluating Definite Integrals (handout)
byMatthew Leingang
 
Electronic Grading of Paper Assessments
byMatthew Leingang
 
Lesson 20: Derivatives and the Shapes of Curves (handout)
byMatthew Leingang
 
Lesson 26: The Fundamental Theorem of Calculus (handout)
byMatthew Leingang
 
Lesson 23: Antiderivatives (slides)
byMatthew Leingang
 

Recently uploaded

PDF
Why B2B SaaS Firms Should Invest in Data Appending for Marketing List Upgrades
byAndrew Leo
 
PPTX
Explaining ourselves – people, computers and AI
byAlan Dix
 
PDF
Run Containers in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
PDF
Create or Remove files and directories - RHCE.pdf
byLinuxCert Guru
 
PDF
Digital Garage Certification - Google - Viktor Huszag - Online Marketing Fund...
byViktor Huszag
 
PDF
Open Source SecurityCon 2025 in Atlanta - Transparency Exchange API: Where To...
byPavel Shukhman
 
PPTX
Standardising and simplifying systems and data management - Esri UK Welsh Con...
byEsri UK
 
PDF
Manage Network Security (Firewall) in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
PPTX
Discover - Assemble - and Gain Insights into your Content with SharePoint Con...
byDrew Madelung
 
PPTX
AI and Linux in 2025 - Jay LaCroix, Learn Linux TV
byAll Things Open
 
PDF
AWS Cloud Technical Essentials - AWS Certificate
byVICTOR MAESTRE RAMIREZ
 
PDF
Access Network Attached Storage in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
PDF
The Future of Database Diagnostics is a Conversation with Oracle AHF Fleet In...
bySandesh Rao
 
PDF
Manage Basic Storage in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
PDF
Webinar: Introduction to LF Energy SEAPATH
byDanBrown980551
 
PDF
Reset RHEL Root User Password - RHCSA.pdf
byLinuxCert Guru
 
PDF
#MakeAIMatter for HR Professionals | AI Transformation Workshop by Tekdi Tech...
byParth Lawate
 
PDF
Upskill to Agentic Automation - Accelerating Your Job Search using AI
byDianaGray10
 
PPTX
Governance, Deployment & Methodologies for Agentic Automation [2/3]
bysuhanisingh58689
 
PDF
Case Study: How LKQ Corporation Improved Training Efficiency & Delivery
byRustici Software
 
Why B2B SaaS Firms Should Invest in Data Appending for Marketing List Upgrades
byAndrew Leo
 
Explaining ourselves – people, computers and AI
byAlan Dix
 
Run Containers in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
Create or Remove files and directories - RHCE.pdf
byLinuxCert Guru
 
Digital Garage Certification - Google - Viktor Huszag - Online Marketing Fund...
byViktor Huszag
 
Open Source SecurityCon 2025 in Atlanta - Transparency Exchange API: Where To...
byPavel Shukhman
 
Standardising and simplifying systems and data management - Esri UK Welsh Con...
byEsri UK
 
Manage Network Security (Firewall) in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
Discover - Assemble - and Gain Insights into your Content with SharePoint Con...
byDrew Madelung
 
AI and Linux in 2025 - Jay LaCroix, Learn Linux TV
byAll Things Open
 
AWS Cloud Technical Essentials - AWS Certificate
byVICTOR MAESTRE RAMIREZ
 
Access Network Attached Storage in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
The Future of Database Diagnostics is a Conversation with Oracle AHF Fleet In...
bySandesh Rao
 
Manage Basic Storage in RHEL - RHCSA (RH134).pdf
byLinuxCert Guru
 
Webinar: Introduction to LF Energy SEAPATH
byDanBrown980551
 
Reset RHEL Root User Password - RHCSA.pdf
byLinuxCert Guru
 
#MakeAIMatter for HR Professionals | AI Transformation Workshop by Tekdi Tech...
byParth Lawate
 
Upskill to Agentic Automation - Accelerating Your Job Search using AI
byDianaGray10
 
Governance, Deployment & Methodologies for Agentic Automation [2/3]
bysuhanisingh58689
 
Case Study: How LKQ Corporation Improved Training Efficiency & Delivery
byRustici Software