Calculus, Part I. (4h. 1 c.u.)
Brief review of High School Calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, multivariable functions, partial derivatives. Use of symbolic manipulations and graphics software in Calculus.
Note: This course uses Maple
Texts:
Thomas/Finney, Calculus, 9th (or Alternate) Edition
Maple/Calculus Lab Manual for Math 103/104/114/115
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Review Chapters 1-4 See Math 103 core problems and sample exams. Chapter 5 Application of Integrals 5.1 – 9,19,26,31,52 5.2 – 5,10,12 5.3 – 6,23,38,41,45 5.4 – 1,4,15,26,37 5.5 – 10,11 5.6 – 11,15,29 5.7 – 7,26,29,31 Chapter 6 Transcendental Functions 6.1 – 13,15,24,31,34 6.2 – 1,2,3,7,18,35,47,49,51,57,82 6.3 – 1-10,13,14,15,20,37,48,63,77 6.4 – 1-10,16,27,39,40,51,85 6.5 – 1,5,,8,10,11,12,21,27 6.6 – 5,18,29,33,35,43,60,65 6.7 – 1,2,5,7,8 6.8 – 1-6,13,14,17,19,29,31,33,41,42,43,44 6.9 – 3,7,20,36,51,58 6.11 – 3,10,13,15,16,19,21,23,35,36,40,46,55 6.12 – 3,18 |
Chapter 7 Methods of integration 7.1 – 9,32,40,51,62,66,83 7.2 – 3,11,14,25,41,43 7.3 – 11,18,27,36,43,48 7.4 – 3,8,15,24,35,40 7.6 – 8,21,39,44,71,75 Chapter 8 Infinite Series 8.1 – 6,15,35,36,55 8.2 – 1,3,15,20,33,77 8.3 – 7,8,9,10,17,23,24,26,39,75 8.4 – 7,9,10,28,42 8.5 – 2,8,9,16,23 8.6 – 4,5,6,17,28,41,45 8.7 – 3,8,13,26,34 8.8 – 5,9,12,17,34,42 8.9 – 3,13,26,34 8.10 – 7,21,23,42,44 8.11 – 4,12,44 Chapter 12 Multivariable functions 12.1 – 5,8,13-19,25,45 12.2 – 11,16 12.3 – 5,19,30,47 |
OLD EXAM QUESTIONS also form a part of the core.
The core problems indicate the kind of basic problems you will need to be able to solve by hand. They also provide a guide to the basic level of difficulty to be expected on the final exam.
Note: All sections of Math 104 have a COMMON FINAL EXAM