Dr. Larry K. Norris
MA 242.003
www.math.ncsu.edu/~lkn
Spring Semester, 2013
North 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
Chapters 9: Review 3-D geometry
• Vectors in 3 space
• The dot and cross products
Chapters 9: Review 3-D geometry
• Equations of lines and planes in space
Chapters 10: Curve analysis
• Vector-valued functions and parametric
curves in 3-space
Chapters 10: Curve analysis
• Derivatives and integrals of vector-valued
functions
Chapters 10: Curve analysis
• 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
Chapter 11: Partial Derivatives
Application of partial derivatives
Optimization
Find the local and global maxima and minima of
functions f(x,y) of 2 variables
Chapter 12:
Integral Multivariable Calculus
Chapter 12:
Integral Multivariable Calculus
Double Integrals in Cartesian coordinates
Double Integrals in Polar coordinates
Chapter 12:
Integral Multivariable Calculus
Double Integrals in Polar coordinates
Chapter 12:
Integral Multivariable Calculus
Triple Integrals in Cartesian coordinates
Chapter 12:
Integral Multivariable Calculus
Triple Integrals in Cylindrical coordinates
Triple Integrals in Spherical coordinates
Chapter 13:
Vector Calculus
Vector fields in space
Chapter 13:Vector Calculus
Chapter 13: Vector Calculus
Curl and Divergence
Chapter 13:
Vector Calculus
• Stokes’ Theorem
• The Divergence Theorem of Gauss