Lecture and Laboratory Calendar

This calendar will be updated throughout the semester. Students should consult this calendar weekly to obtain the required reading assignments for the laboratory.

### Week of 3--7 September

M 09/03 W 09/05 F 09/07 Lect. 1 Lect. 2 Lectures Topics Reading Labor Day, No Lectures Course organization and introduction to Mathematica, Common Errors for Beginners Course Notes and Mathematica Notebook I Introduction to Mathematica, assignment and evaluation, rules and replacement, basic calculus and plotting, lists and matrices, getting help Course Notes and Mathematica Notebook II

 Date Th 09/06 Lab 0 Laboratory Topics Reading Discussion of Labotory and Expectations Start Reading, finding tutorials for Laboratory 0 as Soon as Possible.

 Homework Homework Set Out Due 1 5 Sept. 12 Sept. (10AM)

### Week of 10--14 September

 M 09/10 W 09/12 F 09/14 Lect. 3 Lect. 4 Lect. 5 Lectures Topics Reading Mathematica programming: functions and patterns, localized variables, logical switches, recursion; Graphics: plotting lists of data, examples Course Notes and Mathematica Notebook III Mathematica: symbolic and numerical operations, operations on expressions, solving equations, numerical solutions, file input and output, using packages Course Notes and Mathematica Notebook IV Mathematica: overview of graphics, animation, interaction, graphics primitives, complete worked examples Course Notes and Mathematica Notebook V

 Date Th 09/13 Lab 1 Laboratory Topics Reading Symbolic calculations, calculus and plotting Mathematica Help Browser ``First Five Minutes with Mathematica,'' ``tutorial/YourFirstMathematicaCalculations,'' ``tutorial/AlgebraicCalculationsOverview.'' ``tutorial/BasicEditingTechniquesOverview,'' ``tutorial/ListsOverview,'' ``tutorial/DefiningFunctions,'' ``tutorial/BasicPlotting,'' ``tutorial/Options'' http://www.wolfram.com/broadcast/#Tutorials-GS (``Hands-On Tutorials'') Functions: Integrate, Table, Simplify, NIntegrate, Plot, Plot3D, ContourPlot

 Homework Homework Set Out Due 1 5 Sept. 12 Sept. (10AM) 2 5 Sept. 19 Sept. (10AM)

### Week of 17--21 Sept.

 M 09/17 F 09/19 F 09/21 Lect. 6 Lect. 7 Lectures Topics Reading Linear algebra: matrix operations, interpretations of matrix operations, multiplication, transposes, index notation Kreyszig 4.0, 7.1, 7.2, 7.3, 7.4, 7.5 Linear algebra: solutions to linear systems of equations, determinants, matrix inverses, linear transformations and vector spaces Kreyszig 7.7, 7.8, 7.9 Student Holiday, No Lectures

 Date Th 09/20 Lab 2 Laboratory Topics Reading Solving linear systems of equations Mathematica Help Browser ``tutorial/ConstructingMatrices,'' ``tutorial/GettingAndSettingPiecesOfMatrices,'' ``tutorial/OperationsOnScalarsVectorsAndMatrices,'' ``tutorial/MultiplyingVectorsAndMatrices,'' ``tutorial/VectorOperations,'' ``tutorial/MatrixInversion,'' ``tutorial/BasicMatrixOperations,'' ``tutorial/SolvingLinearSystems,'' ``tutorial/EigenvaluesAndEigenvectors''; Functions: Solve, Inverse, Transpose, Eigensystem

 Homework Homework Set Out Due 2 5 Sept. 19 Sept. (10AM) 3 5 Sept. 26 Sept. (10AM)

### Week of 24--28 September

 W 09/26 F 09/28 Lect. 9 Lect. 10 Lectures Topics Reading M 09/24 Lect. 8 Complex numbers: complex plane, addition and multiplication, complex conjugates, polar form of complex numbers, powers and roots, exponentiation, hyperbolic and trigonometric forms Kreyszig 13.1, 13.2, 13.3, 13.4,13.6 Matrix eigenvalues: eigenvalue/eigenvector definitions, invariants, principal directions and values, symmetric, skew-symmetric, and orthogonal systems, orthogonal transformations Kreyszig 8.1, 8.2, 8.3, 8.4 Hermitian forms, similar matrices, eigenvalue basis, diagonal forms Kreyszig 8.4, 8.5

 Date Th 09/27 Lab 3 Laboratory Topics Reading File input/output, plotting data Mathematica Help Browser ``tutorial/ImportingAndExportingFiles,'' ``tutorial/ImportingAndExportingData,'' ``tutorial/lottingListsOfData,'' ``tutorial/ManipulatingNumericalData,'' ``tutorial/CurveFitting,'' ``guide/Statistics''; Functions: Dimensions, Append, AppendTo, Mean, StandardDeviation, ListPlot, Table, MultipleListPlot, Fit, FindFit

 Homework Homework Set Out Due 3 5 Sept. 26 Sept. (10AM) 4 (hard!) 17 Sept. 17 Oct. (10AM)

### Week of 1--5 October

3.014 Laboratory Week: 3.016 does not meet (However, homework 4--which is hard--is due 17 Oct.)

### Week of 08--12 October

 M 10/08 W 10/10 F 10/12 Lect. 11 Lect. 12 Lectures Topics Reading Columbus Day, No Lectures Vector calculus: vector algebra, inner products, cross products, determinants as triple products, derivatives of vectors Kreyszig 9.1, 9.2, 9.3, 9.4 Multi-variable calculus: curves and arc length, differentials of scalar functions of vector arguments, chain rules for several variables, change of variable and thermodynamic notation, gradients and directional derivatives Kreyszig 9.5, 9.6, 9.7

 Date Th 10/11 Lab 4 Laboratory Topics Reading Graphical representations in three and higher dimensions Mathematica Help Browser ``tutorial/BasicPlotting,'' ``tutorial/RedrawingAndCombiningPlots,'' ``tutorial/ThreeDimensionalSurfacePlots,'' ``tutorial/ParametricPlots,'' ``tutorial/SomeSpecialPlots,''
 Homework Homework Set Out Due 4 17 Sep. 17 Oct. 5 1 Oct. 24 Oct.

### Week of 15--19 October

 M 10/15 W 10/17 F 10/19 Lect. 13 Lect. 14 Lect. 15 Lectures Topics Reading Vector differential operations: divergence and its interpretation, curl and its interpretation Kreyszig 9.8, 9.9 Path integration: integral over a curve, change of variables, multidimensional integrals Kreyszig 10.1, 10.2, 10.3 Multidimensional forms of the Fundamental theorem of calculus: Green's theorem in the plane, surface representations and integrals Kreyszig 10.4, 10.5, 10.6, 10.7, 10.8, 10.9

 Date Th 10/18 Lab 5 Laboratory Topics Reading Multivariable Calculus Mathematica Help Browser ``tutorial/Differentiation,'' ``VectorAnalysis/tutorial/VectorAnalysis,'' ``VectorAnalysis/guide/VectorAnalysisPackage,''

 Homework Homework Set Out Due 4 17 Sept. 17 Oct (10AM) 5 1 Oct. 24 Oct.

### Week of 22--26 October

3.014 Laboratory Week: 3.016 does not meet (However, homework 5 is due on Wednesday by 10AM).
 Homework Homework Set Out Due 5 1 Oct. 24 Oct. (10AM) 6 1 Oct. 6 Nov.

### Week of 29 October--2 November

 M 10/29 W 10/31 F 11/02 Lect 16 Lect. 17 Lect. 18 Lectures Topics Reading Multi-variable calculus: triple integrals and divergence theorem, applications and interpretation of the divergence theorem, Stokes' theorem. Kreyszig 10.7, 10.8, 10.9 Periodic functions: Fourier series, Interpretation of Fourier coefficients, convergence, odd and even expansions Kreyszig 11.1, 11.2, 11.3 Fourier theory: complex form of Fourier series, Fourier integrals, Fourier cosine and sine transforms, the Fourier transforms Kreyszig 11.4, 11.6, 11.7, 11.8

 Date Th 11/01 Lab 6 Laboratory Topics Reading Optimization Mathematica Help Browser ``tutorial/NumericalOptimization''; Functions: Minimize, Maximize, FindMinimum

 Homework Homework Set Out Due 6 15 Oct. 07 Nov. 7 (hard!) 15 Oct. 07 Dec.

### Week of 5--9 November

 M 11/05 W 11/07 F 11/09 Lect 19 Lect. 20 Lect. 21 Lectures Topics Reading Ordinary differential equations: physical interpretations, geometrical interpretations, separable equations Kreyszig 1.1, 1.2, 1.3 ODEs: derivations for simple models, exact equations and integrating factors, the Bernoulli equation Kreyszig 1.4, 1.5 Higher order differential equations: homogeneous second order, initial value problems, second order with constant coefficients, solution behavior Kreyszig 2.1, 2.2

 Date Th 11/08 Lab 7 Laboratory Topics Reading Solving Differential Equations Mathematica Help Browser ``tutorial/DifferentialEquations,'' ``tutorial/IntroductionToNumericalDifferentialEquations,'' ``tutorial/NumericalSolutionOfDifferentialEquations''

 Homework Homework Set Out Due 6 15 Oct. 7 Nov. (10AM) 7 (hard!) 1 Nov. 5 Dec. (10AM)

### Week of 12--16 November

3.014 Laboratory Week: 3.016 does not meet (However, homework 7 is difficult and due 5 Dec.).

### Week of 19--23 Novemeber

 M 11/19 W 11/21 F 11/25 Lect. 22 Lectures Topics Reading 3.014 lab continues, no lecture Differential operators, damped and forced harmonic oscillators, non-homogeneous equations Kreyszig 2.3,2.4, 2.7, 2.8, 2.9 Holiday, No Lectures

 Date Th 11/24 Holiday, No Laboratory Topics Reading Holiday, no laboratory

 Homework Homework Set Out Due 7 (Hard!) 1 Nov. 5 Dec

### Week of 26-30 Novmeber

 M 11/26 F 11/30 Lect. 23 Lect. 25 Lectures Topics Reading Resonance phenomena, higher order equations, beam theory Kreyszig 2.8, 2.9, 3.1, 3.2, 3.3 W 11/28 Lect. 24 Systems of differential equations, linearization, stable points, classification of stable points Kreyszig 4.1, 4.2 Linear differential equations: phase plane analysis and visualization Kreyszig 4.3, 4.4

 Date Th 11/29 Lab 8 Laboratory Topics Reading Solving Differential Equations Mathematica Help Browser ``tutorial/DifferentialEquations,'' ``tutorial/IntroductionToNumericalDifferentialEquations,'' ``tutorial/NumericalSolutionOfDifferentialEquations''

 Homework Homework Set Out Due 7 (Hard!) 01 Nov. 5 Dec

### Week of 3--7 December

 M 12/5 W 12/7 F 12/09 Lect. 26 Lect. 27 Lectures Topics Reading PDEs, separation of variables. Kreyszig 12.1--12.6 TBA 3.014 Laboratory, No Lecture

 No Laboratory

 Homework Homework Set Out Due 7 15 Oct. 5 Dec (10AM)

### Week of 10--14 December

3.014 Laboratory Week: 3.016 does not meet

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