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

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Presentation transcript:

Dr. Larry K. Norris MA 242.003 www.math.ncsu.edu/~lkn Fall Semester, 2016 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.

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 0 - 59

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

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

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

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

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

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

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

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

Chapter 3: Differential multivariable calculus

Chapter 3

Chapter 3

Chapter 3: Partial Derivatives

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

Chapter 4: Integral Multivariable Calculus

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

Chapter 4 Integral Multivariable Calculus Double Integrals in Polar coordinates

Chapter 4: Integral Multivariable Calculus Triple Integrals in Cartesian coordinates

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

Chapters 5 & 6: Vector Calculus Vector fields in space

Chapters 5 & 6:Vector Calculus

Chapters 5 & 6: Vector Calculus Curl and Divergence

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

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