Dr. Larry K. Norris MA 242.003 lkn

Dr. Larry K. NorrisMA 242.003

www.math.ncsu.edu/~lkn

Spring Semester, 2013North Carolina State University

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.

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 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

Chapters 9: Review 3-D geometry

• Cartesian coordinates in 3 space


• Vectors in 3 space

• The dot and cross products


• Equations of lines and planes in space

Chapters 10: Curve analysis

• Vector-valued functions and parametric curves in 3-space


• Derivatives and integrals of vector-valued functions


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

Chapter 11: Differential multivariable calculus

Chapter 11

Chapter 11: Partial Derivatives

Application of partial derivatives

OptimizationFind the local and global maxima and minima of

functions f(x,y) of 2 variables

Chapter 12:Integral Multivariable Calculus


Double Integrals in Cartesian coordinates

Double Integrals in Polar coordinates


Double Integrals in Polar coordinates


Triple Integrals in Cartesian coordinates


Triple Integrals in Cylindrical coordinates

Triple Integrals in Spherical coordinates

Chapter 13:Vector Calculus

Vector fields in space

Chapter 13: Vector Calculus

Curl and Divergence


• Stokes’ Theorem

• The Divergence Theorem of Gauss

Dr. Larry K. Norris MA 242.003 lkn

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