1. Dr. Larry K. Norris MA 242.003 www.math.ncsu.edu/~lkn
Fall Semester, 2016
North Carolina State University

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

3. Grading
A+ 97 – 100 A 93 – 96.9 A- 90 – 92.9 B+, B, B- 80 – 89 C+, C, C- 70 – 79 D+, D, D- 60 – 69 F

4. Daily Schedule
Answer questions and work example problems from suggested homework (0-15 minutes)
Daily topics (35-50 minutes)
--including example problems (you should study to prepare for tests).
3. 5 days per week with problem session part of Wednesdays

5. 4 parts to the semester Chapters:
1 and 2: Review and curve analysis (Test #1)
3: Differential multivariable calculus (Test #2)
4: Integral multivariable calculus (Test #3)
5, 6: Vector calculus (Test #4)
Final Exam

6. Chapters 1: Review 3-D geometry
Cartesian coordinates in 3 space

7. Chapters 1: Review 3-D geometry
Vectors in 3 space
The dot and cross products

8. Chapters 1: Review 3-D geometry
Equations of lines and planes in space

9. Chapters 2: Curve analysis
Vector-valued functions and parametric curves in 3-space

10. Chapters 2: Curve analysis
Derivatives and integrals of vector-valued functions

11. Chapters 2: Curve analysis
Curve analysis: curvature, unit tangent and unit normal, Theorem: the acceleration vector always lies in the osculating plane

12. Chapter 3: Differential multivariable calculus

13. Chapter 3

14. Chapter 3

15. Chapter 3: Partial Derivatives

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

17. Chapter 4: Integral Multivariable Calculus

18. Chapter 4: Integral Multivariable Calculus
Double Integrals in Cartesian coordinates
Double Integrals in Polar coordinates

19. Chapter 4 Integral Multivariable Calculus
Double Integrals in Polar coordinates

20. Chapter 4: Integral Multivariable Calculus
Triple Integrals in Cartesian coordinates

21. Chapter 4: Integral Multivariable Calculus
Triple Integrals in Cylindrical coordinates
Triple Integrals in Spherical coordinates

22. Chapters 5 & 6: Vector Calculus
Vector fields in space

23. Chapters 5 & 6:Vector Calculus

24. Chapters 5 & 6: Vector Calculus
Curl and Divergence

25. Chapters 5 & 6: Vector Calculus
Stokes’ Theorem
The Divergence Theorem of Gauss