Math 234 (Lecture 3) — Spring 2017
Calculus—Functions of Several Variables
Lecturer: Joe Miller
Email: ude.csiw.htam@rellimj
Office: 521 Van Vleck
Office Hours:
• Monday 1:00–2:00PM,
• Thursday 9:30–10:30AM.
Lecture: MWF 12:05–12:55PM in B102 Van Vleck

Textbook:
• Discussion: 20%
• Exam I: 25%
• Exam II: 25%
• Final exam: 30%
Discussion grades are based on quizzes. These grades will be adjusted at the end of the semester so that, even if your TA is a tough grader or gives hard quizzes, your course grade will not suffer. You should expect to have a quiz in discussion section (essentially) ever Thursday.

Make-up quizzes will not be offered, but we will drop the lowest quiz score.

Homework
Homework will not be collected.

 Assigned on Exercises January 20 Section 1.12: 1–15 January 29 Section 2.17: 2–6 February 6 Section 2.17: 1, 7 Section 3.Problems: 1–4, 10–12 February 13 Section 3.Problems: 5, 6, 7, 14 Section 4.3: 1(a), 2, 3, 4, 6 February 17 Section 4.7: 1–6, 8–10 Section 4.Problems (pages 72–73): 1–8, 10, 13 February 25 Section 4.Problems (pages 72–73): 9, 11, 14 Section 4.12: 1–6, 8, 10–12 March 4 Section 4.15: 2, 3, 7, 9, 12, 13 (find the function) Section 5.3: 1, 2, 3 Section 5.6: 1 (do a few parts), 2, 5, 6, 7 March 10 Section 5.10: 2 (a,c,e), 5 (do a few parts), 7 (a,c), 8, 9 Section 5.13: 1, 2, 3, 5, 10, 12, 13, 14 March 26 Section 6.3: 1, 2, 3, 5 (do a few, including k), 6 (do a few), 8, 9. Note the typo in 8: $a\leq c\leq b$ should be $a\leq x\leq b$ Don't forget that the PDF of the course packet has answers for all the problems marked with green dots.
Exams
There will be two evening exams and a final. Make-up exams are possible only in very specific circumstances. It is your responsibility to avoid unnecessary conflicts.

Exam Dates:
• Exam 1: Thursday, March 2 from 7:15–8:45PM (EVENING)
• Exam 2: Thursday, April 13 from 7:15–8:45PM (EVENING)
• Final: Monday, May 8 from 5:05–7:05PM (EVENING)
Tentative Syllabus
Note that this schedule is only an approximation!

 Week Topics 1 Vector Geometry in 3-D space: review of vectors, dot and cross products, determinants, lines and planes 2 Parametric curves and vector functions: vector functions, parametric equations, derivatives, velocity and acceleration 3 Parametric curves and vector functions: Arc length, tangent, normal and binormal vectors, curvature 4 Functions of several variables: functions of two variables, level sets, linear functions, quadratic forms, polar coordinates 5 Derivatives: interior points and continuous functions, partial derivatives, linear approximations, tangent plane 6 Derivatives: Chain Rule, gradients, functions of three variables, implicit functions, higher order partial derivatives 7 Maxima and minima: Local and global extrema, continuous functions on closed bdd sets, critical points, linear regression 8 Maxima and minima: second derivative test, optimization 9 Integrals: double and triple integrals 10 Integrals: triple integrals, cylindrical coordinates, spherical coordinates 11 Vector Calculus: vector fields, line integrals 12 Vector Calculus: Fundamental Theorem of Calculus, conservative vector fields 13 Vector Calculus: Flux integrals, Green's Theorem 14 Vector Calculus: Surfaces and surface integrals, Divergence Theorem 15 Vector Calculus: Stoke's Theorem