MATH 241, Spring 2009: Calculus III

News

• Final Exam Review: Wednesday, May 13, 3:30-5:00pm ARM0135
• Final Exam
  • Cheat sheet WILL be allowed on the final exam, see below.
  • The final exam will be on Thursday, May 14, 1:30-3:30pm at these locations.
  • There will be a common exam for all Math 241 students. Calculators are not allowed. You can use a letter size page with hand-written formulas, one-sided .
  • If you have another Math exam at the same time: You take the exam for the higher numbered course (e.g. MATH 246) at the official time, for the other course you take an alternate exam.
    I have sent a message with the alternate final time to all students who take the alternate final. If you did not get my message, contact me ASAP!
• Matlab project 1, due date extended to Tuesday, May 5 in the discussion session.
  • download the m-files from Matlab Instructions for Math 241
  • Matlab example for curve
    Note that the osculating circle should touch the curve at r(t₀), so that it has the same tangent vector.
  • How to find relative extrema with Matlab
  • Look at the Matlab solutions for the practice problems below
  • Read How to prepare Matlab Assignments
    Note that you can also label the graphs by hand.
  • Matlab Tutoring for MATH 241 is available
  Problem 2(a):: You should make two plots: One plot with the graph of f and the tangent plane, and a second plot with the level curves.
• Practice problems for exam 4 with solutions
  Matlab solutions of the practice problems: (with graphs for each problem)
  problem 1, problem 2, problem 3, problem 4, problem 5
  You first have to download m-files from Matlab Instructions for Math 241.
• Exam 4 was on April 27: average=66.5, median=66
  25% had score≥81, 50% had score≥66, 75% had score≥55
• Exam 3 was on Monday, April 6: average=67, median=65
  25% had score≥80, 50% had score≥65, 75% had score≥57
• Practice problems for exam 3 with solutions
  
• Exam 2 was on Monday, March 9: average=71, median=74
  25% had score≥84, 50% had score≥74, 75% had score≥60
• Review and example problems for curves
• Exam 1 was on Feb. 16: average=73.1, median=77
  25% had score≥83, 50% had score≥77, 75% had score≥64
• Tutoring schedule and Matlab Tutoring schedule are now up
• What I did in class: (05/11/09)
  • 11.1, 11.2: vectors, addition, multiplication by scalars
  • 11.3: dot product
  • 11.4: cross product, see also dot product, cross product, determinants
  • 11.5: lines in space
    please try out Matlab example for computing distance of point to line on a computer.
  • 11.6: planes in space
  • 12.1, 12.2, 12.3: Vector-valued functions, limits, continuity, derivatives, integrals, velocity, acceleration, Newton's law
  • 12.4: length of curves, arc length
  • 12.5: unit tangent vector, normal vector, tangential and normal component of acceleration
  • 12.6: curvature
  • 13.1, 13.2: functions of several variables, limits
  • 13.3: partial derivatives
  • 13.7: tangent plane and approximation
  • 13.4: chain rule
  • 13.5, 13.6: directional derivative, gradient
  • 13.8: extrema
  • 13.9: Lagrange multipliers
  • 14.1: double integrals
  • 14.2: double integrals in polar coordinates
  • 14.3: surface area
  • 14.4: triple integrals
  • 14.5: cylindrical coordinates
  • 14.6: spherical coordinates
  • 14.8: change of variables
  • 14.7: moments, center of mass
  • 14.9: parametrized surfaces and surface area
  • 15.1: vector fields
  • 15.2: line integrals
  • 15.3: fundamental theorem of line integrals
  • 15.4: Green's theorem
  • 15.5: surface integral
  • 15.6: flux surface integral
  • 15.7: Stokes theorem
  • 15.8: Divergence theorem
• For the Matlab homeworks you can work together in teams of up to three students. Teams of four or more students will receive zero points. All team member must have the same TA.