Topics

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

Schedule

Week 1 (Function Approximation)

Mon Aug 21

LEC 1Intro & Logistics

Setup env; Git & GitHub (opt)

Wed Aug 23

LEC 2Vector Spaces

Fri Aug 25

LEC 3Approximation Error

HW 1: Python Refresher

Quiz 1 AssignedHW 1 Assigned

Week 2

Mon Aug 28

LEC 4Basis Functions

Quiz 1 Due

Wed Aug 30

LEC 5Lagrange Basis

Quiz 2 Assigned

Fri Sep 1

LabHW 2: Monomial and Lagrange Interpolation

HW 2 ASSIGNEDHW 1 dueQuiz 2 Due

Week 3

Mon Sep 4

No Class (Labor Day)

Wed Sep 6

LEC 6Cubic Splines

Fri Sep 8

LEC 7Trignometric Interpolation

Quiz 3 Assigned

Week 4

Mon Sep 11

LabHW 3: Spline and Trignometric Interpolation

HW 3 ASSIGNEDHW 2 dueQuiz 3 Due

Wed Sep 13

LEC 8Least Squares (1)

Fri Sep 15

LEC 9Least Squares (2)

Quiz 4 Assigned

Week 5 (Initial Value Problem)

Mon Sep 18

LabHW 4: Least Squares Approximation

HW 4 AssignedHW 3 DueQuiz 4 Due

Wed Sep 20

LEC 10Initial Value Problem

IVP Supplementary Notes

Fri Sep 22

LEC 11Multi-step Methods

Multi-step Supplementary Notes

Quiz 5 Assigned

Week 6

Mon Sep 25

LabHW 5: Initial Value Problem

HW 5 AssignedHW 4 DueQuiz 5 Due

Wed Sep 27

LEC 12Error in IVPs

Error in IVPs Supplementary Notes

Fri Sep 29

LEC 13Stiff IVPs

Stiff IVPs Supplementary Notes

Quiz 6 Assigned

Week 7 (Boundary Value Problems)

Mon Oct 2

LEC 13Stiff IVPs

HW 5 DueQuiz 6 Due

Wed Oct 4

LabProject 1 (Individual)

Project 1 (Individual) Assigned

Fri Oct 6

LEC 14Boundary Value Problems (FD)

BVPs Supplementary Notes

Week 8

Mon Oct 9

Lec 15Error in BVPs (FD)

Error in BVPs Supplementary Notes; Project 1 - Team Survey

Project 1 Team Survey AssignedQuiz 7 Assigned

Wed Oct 11

LabProject 1 (Group)

Project 1 (Group) AssignedQuiz 7 Due

Fri Oct 13

LabProject 1 (Group)

Week 9

Mon Oct 16

Lec 16BVP (Spectral 1)

BVP (Spectral 1) Supplementary Notes

Lec 17BVP (Spectral 2)

BVP (Spectral 2) Supplementary Notes

Project 1 (Individual) Due

Wed Oct 18

LabProject 1 (Group)

Fri Oct 20

LabProject 1 (Group)

Quiz 8 Assigned

Week 10

Mon Oct 23

LabHW 6: Boundary Value Problem

HW 6 AssignedQuiz 8 Due

Wed Oct 25

Lec 18BVP (FEM 1)

FEM 1 Supplementary Notes

Project 1 (Group) Due

Fri Oct 27

Lec 19BVP (FEM 2)

Quiz 9 Assigned

Week 11 (Initial Boundary Value Problems)

Mon Oct 30

LabHW 7: Finite Element Methods

Project 1 - Peer Review

Project 1 Peer Review AssignedHW 7 AssignedHW 6 DueQuiz 9 Due

Wed Nov 1

Lec 20IBVP (FD 1)

IBVP (FD) Supplementary Notes

Fri Nov 3

Lec 21IBVP (FD 2)

Quiz 10 AssignedProject 1 Peer Review Due

Week 12

Mon Nov 6

LabProject 2 (Individual)

Project 2 (Individual) AssignedHW 7 DueQuiz 10 Due

Wed Nov 8

Lec 22IBVP (FEM)

Fri Nov 10

Lec 22IBVP (FEM)

Quiz 11 Assigned

Week 13

Mon Nov 13

LabProject 2 (Individual)

Quiz 11 Due

Wed Nov 15

LabProject 2 (Group)

Project 2 (Group) AssignedCATME Survey Assigned

Fri Nov 17

LabProject 2 (Group)

Project 2 (Individual) Due

Week 14 (Fall Break)

Mon Nov 20

No Class (Fall Break)

Wed Nov 22

No Class (Fall Break)

Fri Nov 24

No Class (Fall Break)

Week 15

Mon Nov 27

LabProject 2 (Group)

Wed Nov 29

LabProject 2 (Group)

Fri Dec 1

LabProject 2 (Group)

Week 16

Mon Dec 4

LabProject 2 (Group)

Wed Dec 6

LabProject 2 (Group)

Project 2 (Group) DueProject 2 (Group) Peer Review Due