# Schedule and Exams

Exams are scheduled for the following dates:

Material Covered in Lectures

 Date Topics Covered Reading/Ref. Relevant Homework 1/16 Problem solving, linear systems, course overview + skills test (test.pdf), Matrix Algebra basics - notation Kreyszig 6.1 Hmwk 1 1/18 Matrix algebra basics - manipulations, Gauss elimination Kreyszig 6.2 - 6.3 Hmwk 1 1/23 Linear independence and rank Setting up a problem Kreyszig 6.4 Hmwk 1 & 2 1/25 Determinants, inverse of a matrix Kreyszig 6.6-6.7 Hmwk 2 1/30 Eigenvalues and eigenvectors (jan30_note.pdf) Kreyszig 7.1-7.2 Hmwk 2 2/1 Numerical Aspects of Linear Algebra Differential Equations Kreyszig 18.1 Kreyszig 1.1, 1.3 Hmwk 3 2/6 First Order Differential Equations, Separable ODEs Problem Solving and Development Kreyszig 1.5 Hmwk 3 End Coverage for Exam 1 2/8 Exact FODE, Integrating Factors Kreyszig 1.5 Hmwk 4 2/15 Linear FODE Kreyszig 1.6 Hmwk 4 2/20 Linear FODE - examples and applications Numerical Methods for solving FODE Kreyszig 1.6 Kreyszig 19.1 Hmwk 4 & 5 2/22 Linear FODE - effect of forcing functions on linear FODEs (feb22_note.mcd) Energy Balances Kreyszig 1.6 Felder&Rousseau Ch 7 or Sandler Ch 2 Hmwk 4 & 5 2/27 Second order Differential Equations Linear Second order equations - constant coefficients Kreyszig 2.1 Kreyszig 2.2 - 2.3 Hmwk 5 3/1 Linear Second order equations - constant coefficients Nonhomogeneous Second order equations - Undetermined Coefficients Kreyszig 2.2 - 2.3 Kreyszig 2.8 - 2.9 Hmwk 5/6 3/6 Nonhomogeneous Second order equations - Undetermined Coefficients Nonhomogeneous Second order equations - Variation of Parameters Kreyszig 2.9 Kreyszig 2.10 Hmwk 5/6 3/13 Second order systems - applications Kreyszig 2.5, 2.11 End of coverage for Exam II 3/15 Coupled Systems of Differential Equations - real eigenvalues Kreyszig 3.0 - 3.3 Hmwk 7 3/20 Coupled Systems of Differential Equations - complex eigenvalues Nonhomogeneous Systems Kreyszig 3.0 - 3.3 Kreyszig 3.6 Hmwk 7 & 8 4/3 Class cancelled 4/5 Nonhomogeneous Coupled Systems -Method of Undetermined Coefficients Numerical Methods for Coupled Systems Kreyszig 3.6 Kreyszig 19.3 Hmwk 8 4/10 Shell Balances - axial coordinates and Fourier's Law Laplace Transforms - basics Kreyszig 5.1-5.3 Hmwk 9 4/12 Shell Balances - cylindrical coordinates, Fick's Law Laplace Transforms - ODEs, Partial Fractions Kreyszig 5.6 Hmwk 9 4/17 Laplace Transforms - ODEs, t-shfting, s-shifting (unit step function) Kreyszig 5.1-5.3 Hmwk 9 4/19 Laplace Transforms - Coupled systems of ODEs Kreyszig 5.7 Hmwk 9 4/24 Laplace Transforms - Different forcing functions - tank draining Hmwk 9 End of coverage for Exam III 5/1 Regression Analysis - Simple Linear Regression (from 4/24) Kreyszig 23.9 Hmwk 10 5/3 Regression Analysis - Dealing with nonlinear functions handout Hmwk 10

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