Engineering Calculations and Their Programming: PTC®MathCAD Prime®3.0
1 Getting Started 9
1.1 Differences between Prime and Express 11
1.1.1 Math . 12
1.1.2 Input / Output . 13
1.1.3 Functions. 13
1.1.4 Plots 13
1.2 Workspace 13
1.2.1 Ribbon . 15
1.2.2 Worksheets and Re gions 19
1.2.3 Customizing Worksheet 20
1.3 Mathematical expressions 21
1.3.1 Grouping . 21
1.3.2 Formatting results 22
1.4 Inserting text and image . 22
1.4.1 Formatting text regions 23
1.4.2 Regions location . 23
1.5 Areas . 24
1.6 Help . 25
1.7 Exercises 25
2 Symbolic calculations 27
2.1 Keywords and modifiers . 29
2.2 Simplifying and rewriting expressions 30
2.2.1 Rewriting expressions . 30
2.2.2 Simplifying expressions . 30
2.2.3 Combining expressions . 31
2.2.4 Collecting terms 31
2.3 Expanding and factoring expressions 31
2.3.1 Expanding expressions 31
2.3.2 Factoring expressions . 32
2.4 Polynomials – coefficients and partial fractions . 33
2.4.1 Finding coefficients of a polynomial . 33
2.4.2 Expanding a quotient of polynomial s into partial fractions 34
2.5 Substituting variables 35
2.6 Expanding to series . 36
2.7 Solving equations and inequalities . 36
2.8 Exercises 37
3 Numerical calculations 41
3.1 Identifiers and labels . 41
3.2 Defining variables . 43
3.3 Defining functions . 44
3.4 Units 44
3.5 Range variables . 46
3.6 Elements of calculus . 47
3.7 Logical expressions . 48
3.8 2D Plots . 49
3.8.1 Parametric plots . 52
3.8.2 Roots of functions . 53
3.9 Exercises 54
4 Vectors, matrices and tables 57
4.1 Inserting and editing matrices and tables . 58
4.2 Matrix operations . 62
4.3 Solution of sets of linear equations 66
4.4 Chosen matrix functions . 67
4.4.1 Sizes of vectors a nd matrices 67
4.4.2 Generation of vectors and matrices . 67
4.4.3 Looking for elements in matrices and vectors 68
4.4.4 Operations on parts of matrices . 69
4.4.5 Eigenvalues and eigenvectors . 70
4.4.6 Sorting functions . 71
4.5 Exercises 72
5 Plots and input / output 75
5.1 Polar plots . 76
5.2 Contour plots 78
5.3 3D plots . 81
5.4 Reading and writing files . 83
5.4.1 WRITEFILE and READFILE 84
5.4.2 WRITEPRN, READPRN and APPEDNPRN . 85
5.5 Integrating with Microsoft Excel . 85
5.6 Exercises 88
6 Problem solving 89
6.1 Approximation 89
6.1.1 Linear approximation . 90
6.1.2 Exponential approximation. 91
156 pages, Paperback
