Calculus III
Summer 2010:
| Reference # | Class | Days | Time | Room |
| 0329 | Math 263 | M T ThF | 7:00 - 10:25 | G8-115 |
Brief Description:
This is the third course in Calculus sequence. It covers vectors, geometry of space, operations with vectors such as dot product, cross product, equations of lines and planes in space. Study of vector functions, and space curves, derivative, integration of vector functions with study of arc length and curvature. Functions of several variables, limits and continuity of such functions, partial derivatives, study of chain rules, directional derivatives, gradient vectors, with in depth study of maximum and minimum values of functions of several variables with use of LaGrange multiplier's method. Applications of double and triple integrals and use of polar, cylindrical, and spherical coordinates in addition to change of variables method. Study of vector fields, line and surface integral. In depth study of curl, divergence in addition to Green's theorem, Stokes' theorem, and Divergence theorem.
| Prerequisite: | Satisfactory completion of Math 262. | |
| Required Materials: | 1) Textbook: Calculus ,5th edition By Stewart
2) Graphing Calculator |
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| Course Syllabus: | Syllabus | |
| Office Hours: | M T Th F | 10:30AM- 11:30AM ( E3-101B) |
| Wednesdays | By Appointments Only | |
| Required Homework: | HWS#1 , HWS#2 , HWS#3 , Homework Sheet#4 | |
| Lecture Notes: | Chapter 13 , Chapter 14 , Chapter 15 Part I , Chapter 15 Part II , Chapter 15 Part III , Chapter 16 Part I | |
| Chapter Handouts: | Various Handouts available for each chapter, Check regularly and ask for specific topics if you need one. | |
| Formula Sheet: | Formula Sheet#1 | |
| Maple Instructions |
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Instruction I , Instruction II , Instruction III , Instruction IV, Taylor Polynomail, Vector Operations, Plots in Maple, |
Maple Project#2
Open the following three documents, and do something similar, be creative and make sure to challenge yourself.