1. Dr. Larry K. Norris MA 242.003 www.math.ncsu.edu/~lkn Spring Semester, 2013 North Carolina State University

2. Grading 4 semester tests @ 15% = 60% Maple Homework @ 10% = 10% Final Exam @ 30%+ = 30%+ where + means that I will replace the lowest of the 4 tests with the final exam grade if it is higher.

3. Daily Schedule 1.Answer questions and work example problems from suggested homework (0-15 minutes) 2.Daily topics (35-50 minutes) --including example problems (you should study to prepare for tests).

4. 4 parts to the semester Chapters: 9 and 10: Review and curve analysis (Test #1) 11: Differential multivariable calculus (Test #2) 12: Integral multivariable calculus (Test #3) 13: Vector calculus (Test #4) Final Exam

5. Chapters 9: Review 3-D geometry Cartesian coordinates in 3 space

6. Chapters 9: Review 3-D geometry Vectors in 3 space The dot and cross products

7. Chapters 9: Review 3-D geometry Equations of lines and planes in space

8. Chapters 10: Curve analysis Vector-valued functions and parametric curves in 3-space

9. Chapters 10: Curve analysis Derivatives and integrals of vector-valued functions

10. Chapters 10: Curve analysis Curve analysis: curvature, unit tangent and unit normal, Theorem: the acceleration vector always lies in the osculating plane

11. Chapter 11: Differential multivariable calculus

12. Chapter 11

14. Chapter 11: Partial Derivatives

15. Application of partial derivatives Optimization Find the local and global maxima and minima of functions f(x,y) of 2 variables

16. Chapter 12: Integral Multivariable Calculus

17. Double Integrals in Cartesian coordinates Double Integrals in Polar coordinates

18. Chapter 12: Integral Multivariable Calculus Double Integrals in Polar coordinates

19. Chapter 12: Integral Multivariable Calculus Triple Integrals in Cartesian coordinates

20. Chapter 12: Integral Multivariable Calculus Triple Integrals in Cylindrical coordinates Triple Integrals in Spherical coordinates

21. Chapter 13: Vector Calculus Vector fields in space

22. Chapter 13:Vector Calculus

23. Curl and Divergence

24. Chapter 13: Vector Calculus Stokes’ Theorem The Divergence Theorem of Gauss