Introduction to Calculus. (4h. 1 c.u.)
Introduction to concepts and methods of calculus for students with little or no previous Calculus experience. Polynomial and elementary transcendental functions and their applications; derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. Use of symbolic manipulation 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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Chapter P Prelininaries P.1 – 3,5,7,25,31,32,38,39,44 P.2 – 17-21,26,31,33,45 P.3 – 5-8, 27-32, 45 P.4 – 1,2,3,17,19,28,31,41,47,56,83 P.5 – 4,7,9,11,20,47-51 Chapter 1 Limits and Continuity 1.1 – 1,2,3,use maple(11,12,14,19),29,35 1.2 – 15,17,19,21,25,27,29,34,44,45,50,51 1.3 – 15,17,23 1.4 – 1,2,15,17,23,24,47,48,49 1.5 – 5,6,13,17,23,39,40,47,48,55 1.6 – 1-5,7,13,17,20,28,30,37 Chapter 2 Derivatives 2.1 – 3,9,27,28,29,30,42,51,60 2.2 – 7,9,15,17,24,31,43,49 2.3 – 11,13,21,23,26,30 2.4 – 1,6,27,33,35,43,45,53,54,62,63,64 2.5 – 9,14,17,19,27,33,42,47,64,73 2.6 – 25,28,42,43,45,46,59 2.7 – 1,2,10,13,20,21,23,30,32,37 |
Chapter 3 Applications of Derivatives 3.1 – 7,10,14,15,28 3.2 – 7,10,16,37,45,48 3.3 – 9,11,21,24,43 3.4 – 11,17,21,41,42,68,81 3.5 – 5,11,12,14,21,34,45,54,55,101 3.6 – 3,8,13,19,30,43,49,56 3.7 – 13,17,34,42,53 3.8 – 5,19,27 Chapter 4 Integration 4.1 – 5,7,14,30,41,49,51,55 4.3 – 3,6,10,14,19,26,45,52,57 4.5 – 5,10,20,29,49,52,83 4.6 – 9,18,19,30,42 4.7 – 5,12,21,30,35,47,56,65,85 4.8 – 6,12,27,36 4.9 – 7,8,21,27 Chapter 5 Applications of Integrals 5.1 – 11,15,16,25,31,53 5.3 – 7,9,17 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 |
SAMPLE 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 103 have a COMMON FINAL EXAM