Calculus, Part II. (4h. 1 c.u.)
Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and analytic geometry, first and second order ordinary differential equations. Applications to physical sciences. 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 9 Parameterized Curves 9.4 – 3,6,9,19,36,45 9.5 – 2,5,9,17,18,24,33 9.6 – 6,22,23,29,31,37,60 9.8 – 13,37,39 9.9 – 3,15,21,25,30 Chapter 10 Vectors and Analytic Geometry 10.1 – 9,20,30 10.2 – 11,53 10.3 – 8,25,45,57 10.4 – 3,6,31,37 10.5 – 6,17,21,27,39 10.6 – 1-12,45,52,57,74 10.7 – 1-10,17,27,32,39,40,43,51 Chapter 12 Multivariable Functions 12.1 – 5,8,13,14,15,16,17,18,19,25,45 12.2 – 11,13,16,35 12.3 – 5,19,30,47,57,63,65 |
12.4 – 5,11,20,23,24,34a 12.5 – 3,8,17,40,41 12.7 – 2,3,17,18,27,31,43,55 12.8 – 6,11,17,29,36,39,42,53 12.9 – 5,14,21,23,32,46 Chapter 13 Multiple Integrals 13.1 – 5,8,15,21,23,26,29,33,45,53,54,68 13.3 – 6,12,13,19,35,37,44 13.6 – 39,40 Appendix A.3 Complex numbers A.3 – 1-14,23,24,27,30 Chapter 16 (supplement) Differential Eqns 16.2 – 5,13,20 16.3 – 1,3,10,11,19 16.4 – 1,6,11,13,18 16.5 – 1,7,9,14,20,43,58 |
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 114 have a COMMON FINAL EXAM