Table of contents
How To Use This Book. 1
Calculus Information Sheet 3
Computers And Maple 7
COURSE SYLLABUS
Math 103 10
MAPLE MANUAL
Maple Introduction Session Instructions 17
Important gettingstarted information 23
Basic stuff assignments, arithmetic and functions 26
Maple syntax 33
Palettes 39
Expressions vs Functions vs Programs in Maple 42
solve 56
fsolve 64
plot (basic plotting) 69
subs (making substitutions) 81
limit and Limit 85
diff and Diff (including partial and implicit derivatives) 88
int and Int (including multiple integrals) 96
Illustrating Riemann sums (leftbox, leftsum, etc) 101
dsolve (solving ordinary differential equations) 104
DEtools (DEplot) 110
plot (parametric and polar plotting) 113
taylor 126
plot3d 116
implicitplot and implicitplot3d 123
Linear algebra 130
Probability and Statistics 133
MAPLE SOLUTIONS Of Selected Problems From Chapters 1 to 4
Preliminary Chapter 142
Chapter 1 149
Chapter 2 157
Chapter 3 164
Chapter 4 173
MAPLE SOLUTIONS of selected core problems for MATH 104
Chapter 5 181
Chapter 6 189
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Chapter 7 201
Chapter 8 204
Chapter 12 210
MAPLE SOLUTIONS of selected core problems for MATH 114
Chapter 9 212
Chapter 10 216
Chapter 12 221
Chapter 13 229
Appendix A 232
Chapter 16 (supplement) 233
MAPLE SOLUTIONS of selected core problems for MATH 115
Chapter 1 [P] 235
Chapter 2[P] 237
Chapter 3[P1 239
Chapter 4[P] 242
Chapter 5[P] 244
Finite Math solutions (and Section 2.4[P]) 247
SUPPLEMENTARY PROBLEMS
Basic Functions 255
Limit Problems 264
Derivative Problems 275
Exponential Function Problems 288
Integral Problems 293
Further Applications of Integration 301
Parametric Equations and Polar Coordinates 306
Sequences and Series 310
Taylor Series 314
Analytic Geometry 319
Partial derivatives and functions of several variables 323
Multiple integrals 330
More Differential equations 334
Probability 339
Probability Distributions 343
Approximations 346
Matrices 350
SAMPLE FINAL EXAMS (and answers)
Math 103 354
Math 104 363
Math 114 371
Math 115 379
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