Department of Mathematics Tennessee Technological University

• Discrete Mathematics:
• logic1.mws  - introduction to the 'logic' package with some examples of DNF and CNF
• comb1.mws  - introduction to the 'combinatorial' package with some examples of combinations, permutations, and verifying properties of binomial coefficients

 
• Calculus 1:
• lab1.mws - sample Laboratory 1 (intro to basic Maple, plots, related rates problems, animations)
• lab2.mws - some help for Laboratory 2 (piece-wise continous functions, domain and range, compositions)
• lab3.mws - some help for Laboratory 3 (concept of limit, numerical and graphical explorations)
• lab4.mws - some help for Laboratory 4 (tangent lines, derivatives of higher orders, implicit differentiation)
• lab5.mws - some help for Laboratory 5 (related-rates problems, maxima and minima of functions)

 
• Calculus 2:
• lab1.mws - Laboratory 1 (intro to 'student' package, intergration, trig substitutions, integration by parts)
• seq2.mws - Laboratory 2 (convergence of sequences)
• series1.mws - Laboratory 3 (convergence of series: using various tests, telescoping series, alternating series)
• series2.mws - Laboratory 4 (convergence of series: using various tests)
• LoranC Navigational System - Laboratory 5 (inspiration due to hyperbolas)

 
• Calculus3:
• lab1.mws - Laboratory 1 (partial derivatives, higher order partials, graphs of functions of two variables)
• lab2.mws - Laboratory 2 (plane and space curves, {T,N,B} frame, curvature, torsion, helix)
• lab3.mws - Laboratory 3 (contour plots, max and min values of functions, directional derivative)

 
• Linear Algebra:
• asvd.mws - singular value decomposition
• aexp.mws -   real 4 x 4 matrix exponentiation done with the Clifford algebra Cl(3,1)
• aexp2.mws - complex 2 x 2 matrix exponentiation done with the Clifford algebra Cl(3,0)
• aexp3.mws - quaternionic 2 x 2 matrix exponentiation done with the Clifford algebra Cl(1,3)

 
• Matrix Algebra:
• Handout1.mws - three simple applications (interpolating polynomial, temperature distribution, network)
• Handout2.mws - a brief introduction to Maple's 'linalg' package and balancing chemical reactions
• Handout3.mws - condition number of a matrix 

 
• Differential Equations/Advanced Engineering Mathematics:
• num1.mws - Euler method and improved Euler method with examples
• num2.mws - Runge-Kutta method of order 4 with examples
• num3.mws - Dynamical systems, phase portraits, Poincare plane.
• forced.mws - Forced underdamped vibrations and resonance curves

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