MAT 329: Multivariate Calculus

• Syllabus
• Assignments
• Daily Agendas:

  Chapter 14: Day 1 Day 2: 14.1 Day 3: Mathematica Day 4: Limits Day 5: Limits/Continuity Day 6: Problems Day 7: Derivatives Day 8: Higher Derivatives Day 9: Discrete approximation Day 10: Differentiable Day 11: Chain Rule Day 12: Chain Rule examples Day 13: Directional derivatives Day 14: Maxes and Mins Day 15: Problems Day 16: Maxes and Mins; review Day 17: Exam 1 Day 18: Max/Min practice Day 19: Lagrange Multipliers

  Chapter 15: Day 20: More Lagrange Day 21: Lagrange practice Day 22: Integration (numerical) Day 23: Integration (analytic) Day 24: Integration practice Day 25: Integration, more general regions Day 26: and polar integrals Day 27: Exercises Day 28: More polar. Day 29: polar yet again. Day 30: Triple integrals. Day 31: More triple integrals. Day 32: Exam II Day 33: Cylindrical coordinates Day 34: Cylindrical coordinates Day 35: Spherical coordinates

  Chapter 16: Day 36: Vector Fields Day 37: Vector Fields and Line Integrals Day 38: Line Integrals Day 39: Line Integrals from vector fields Day 40: Fundamental Theorem Day 41: More Fundamental Theorem Day 42: Green's Theorem Day 43: More Green Day 44: Green, and the future: Div, Grad, Curl.... Day 45: Review

• Section worksheets (and summaries):

  Chapter 14: Section 14.1 (Summary, Mathematica file; Getting Started) Section 14.2 (Summary, Mathematica file) Section 14.3 (Summary) Section 14.4 (Summary) Section 14.5 (Summary) Section 14.6 (Summary) Section 14.7 (Summary) Section 14.8 (Summary)

  Chapter 15: Section 15.1 (Summary) Section 15.2 (Summary) Section 15.3 (Summary) Section 15.4 (Summary) Section 15.7 (Summary) Section 15.8 (Summary) Section 15.9 (Summary)

  Chapter 16: Section 16.1 (Summary) Section 16.2 (Summary) Section 16.3 (Summary) Section 16.4 (Summary) Section 16.5 (Summary)

• Mathematica files:

  Mathematica file	Featuring
  day02.nb	Plotting functions
  day03.nb	Functions and their contour plots
  14.slices.nb	Univariate slices of a surface
  tangent_plane.nb	A function and its tangent plane
  14.8.Discovery.nb	Multivariate Taylor Series
  14.f-partial-views.nb	Viewing f and its partials
  PeaksPitsLong.nb	(Generic) Quadratic behavior -- pits, peaks, valleys
  LinearRegress.nb	Linear Regression
  All files	A hodge-podge!
  Classify3D.nb RectangularCylindricalSphericaldV.nb	I got a few files sent to me by Bogdan Korolyuk, written by Jared Antrobus in the last year or two. Both are very interesting!

Notes:

• classroom agreement
• Taking tests in my classes
• Suggestions for the NKU Math/CS student
• A copy of both the Study Guide and the Student Solutions Manual that accompany the textbook are available in my office during regular office hours (see the syllabus for those) or by appointment.
• Free tutoring for NKU students is available from the the learning assistance center: call 5475 before problems arise!
• Women in Transition (WIT) supports non-traditional female students, juggling school, work, and family. Call the Women's Center at 572-6497 for more information.
• Feel free to email me with your questions.

Additional links:

• Gnuplot interface for plotting
• Mathematica files for multivariate calculus ( the source disappeared)
• Jim Cole may provided a few mathematica files for us:
  • Vector Fields
• Some nice web materials/labs/modules

• Understanding Mathematics
• A beautiful site on infinity (including the usual proofs such as that the reals are bigger than the natural numbers).
• A nice survey of the philosophy of math.