Topics

• Function Approximation
• Initial Value Problem
• Boundary Value Problem
• Initital Boundary Value Problem

Schedule

Week 1 (Function Approximation)

Mon Aug 26

LEC 1Intro & Logistics

Setup env; Git & GitHub (opt)

Wed Aug 28

LEC 2Vector Spaces

Fri Aug 30

LEC 3Approximation Error

HW 1: Python Refresher

Quiz 1 AssignedHW 1 Assigned

Week 2

Mon Sep 2

No Class (Labor Day)

Wed Sep 4

LEC 4Basis Functions

Quiz 1 Due

Fri Sep 6

No Class

Quiz 2 Assigned

Week 3

Mon Sep 9

LEC 5Lagrange Basis

HW 1 due

Wed Sep 11

LabHW 2: Monomial and Lagrange Interpolation

HW 2 ASSIGNEDQuiz 2 Due

Fri Sep 13

LEC 6Trignometric Interpolation

Quiz 3 Assigned

Week 4

Mon Sep 16

LabHW 3: Trignometric Interpolation

HW 3 ASSIGNEDQuiz 3 Due

Wed Sep 18

LEC 7Least Squares (1)

HW 2 due

Fri Sep 20

LEC 8Least Squares (2)

Quiz 4 Assigned

Week 5 (Initial Value Problem)

Mon Sep 23

LabHW 4: Least Squares Approximation

HW 4 AssignedHW 3 DueQuiz 4 Due

Wed Sep 25

LEC 9Initial Value Problem

IVP Supplementary Notes

Fri Sep 27

LEC 10Multi-step Methods

Multi-step Supplementary Notes

Quiz 5 Assigned

Week 6

Mon Sep 30

LabHW 5: Initial Value Problem

HW 5 AssignedHW 4 DueQuiz 5 Due

Wed Oct 2

LEC 11Error in IVPs

Error in IVPs Supplementary Notes

Fri Oct 4

LEC 11Error in IVPs

Quiz 6 Assigned

Week 7 (Boundary Value Problems)

Mon Oct 7

LabProject 1 (Individual)

Project 1 (Individual) AssignedProject 1 Team Survey AssignedHW 5 DueQuiz 6 Due

Wed Oct 9

LEC 12Stiff IVPs

Stiff IVPs Supplementary Notes

Project 1 Team Survey Due

Fri Oct 11

LEC 13Boundary Value Problems (FD)

BVPs Supplementary Notes

Week 8

Mon Oct 14

LabProject 1 (Group)

Project 1 (Group) Assigned

Wed Oct 16

Lec 14Error in BVPs (FD)

Error in BVPs Supplementary Notes

Quiz 7 AssignedProject 1 (Individual) Due

Fri Oct 18

LabProject 1 (Group)

Quiz 7 Due

Week 9

Mon Oct 21

LabProject 1 (Group)

Wed Oct 23

Lec 15BVP (Spectral 1)

BVP (Spectral 1) Supplementary Notes

Lec 16BVP (Spectral 2)

BVP (Spectral 2) Supplementary Notes

Fri Oct 25

LabProject 1 (Group)

Quiz 8 Assigned

Week 10

Mon Oct 28

LabHW 6: Boundary Value Problem

HW 6 AssignedProject 1 (Group) DueQuiz 8 Due

Wed Oct 30

Lec 17BVP (FEM 1)

FEM 1 Supplementary Notes

Fri Nov 1

Lec 18BVP (FEM 2)

Project 1 Peer Review AssignedQuiz 9 Assigned

Week 11 (Initial Boundary Value Problems)

Mon Nov 4

LabHW 7: Finite Element Methods

HW 7 AssignedHW 6 DueQuiz 9 Due

Wed Nov 6

No Class

Fri Nov 8

Lec 19IBVP (FD 1)

IBVP (FD) Supplementary Notes

Quiz 10 AssignedProject 1 Peer Review Due

Week 12

Mon Nov 11

LabProject 2 (Individual)

Project 2 (Individual) AssignedProject 2 Team Survey AssignedHW 7 DueQuiz 10 Due

Wed Nov 13

Lec 20IBVP (FD 2)

Lec 21IBVP (FEM)

Fri Nov 15

Lec 21IBVP (FEM)

Quiz 11 AssignedProject 2 Team Survey Due

Week 13

Mon Nov 18

LabProject 2 (Group)

Project 2 (Group) AssignedQuiz 11 Due

Wed Nov 20

LabProject 2 (Group)

Project 2 (Individual) Due

Fri Nov 22

LabProject 2 (Group)

Week 14 (Fall Break)

Mon Nov 25

No Class (Fall Break)

Wed Nov 27

No Class (Fall Break)

Fri Nov 29

No Class (Fall Break)

Week 15

Mon Dec 2

LabProject 2 (Group)

Wed Dec 4

LabProject 2 (Group)

Fri Dec 6

LabProject 2 (Group)

Week 16

Mon Dec 9

LabProject 2 (Group) Presentations

Project 2 (Group) Due

Wed Dec 11

LabProject 2 (Group) Presentations

Project 2 Peer Review Assigned

Fri Dec 13

No Class

Project 2 Peer Review Due