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

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

Laboratory
Date Topics Reading
Th 09/06
Lab 0
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

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

Laboratory
Date Topics Reading
Th 09/13
Lab 1
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.

Lectures
Topics Reading
M 09/17
Lect. 6
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
F 09/19
Lect. 7
Linear algebra: solutions to linear systems of equations, determinants, matrix inverses, linear transformations and vector spaces Kreyszig 7.7, 7.8, 7.9
F 09/21 Student Holiday, No Lectures

Laboratory
Date Topics Reading
Th 09/20
Lab 2
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

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
W 09/26
Lect. 9
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
F 09/28
Lect. 10
Hermitian forms, similar matrices, eigenvalue basis, diagonal forms Kreyszig 8.4, 8.5

Laboratory
Date Topics Reading
Th 09/27
Lab 3
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

Lectures
Topics Reading
M 10/08 Columbus Day, No Lectures
W 10/10
Lect. 11
Vector calculus: vector algebra, inner products, cross products, determinants as triple products, derivatives of vectors Kreyszig 9.1, 9.2, 9.3, 9.4
F 10/12
Lect. 12
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

Laboratory
Date Topics Reading
Th 10/11
Lab 4
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

Lectures
Topics Reading
M 10/15
Lect. 13
Vector differential operations: divergence and its interpretation, curl and its interpretation Kreyszig 9.8, 9.9
W 10/17
Lect. 14
Path integration: integral over a curve, change of variables, multidimensional integrals Kreyszig 10.1, 10.2, 10.3
F 10/19
Lect. 15
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

Laboratory
Date Topics Reading
Th 10/18
Lab 5
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

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

Laboratory
Date Topics Reading
Th 11/01
Lab 6
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

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

Laboratory
Date Topics Reading
Th 11/08
Lab 7
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

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

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

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

Week of 26-30 Novmeber

Lectures
Topics Reading
M 11/26
Lect. 23
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
F 11/30
Lect. 25
Linear differential equations: phase plane analysis and visualization Kreyszig 4.3, 4.4

Laboratory
Date Topics Reading
Th 11/29
Lab 8
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

Lectures
Topics Reading
M 12/5
Lect. 26
PDEs, separation of variables. Kreyszig 12.1--12.6
W 12/7
Lect. 27
TBA
F 12/09 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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