Syllabus

## Room Information for the Final Exam

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Homework:
The date below indicates the date the homework was assigned. Unless otherwise specified, it was assigned on a Thursday and is due the following Wednesday in your discussion section.
Sept 3 -- p. 16: 1, 2, 3, 7, 8, 9, 11, 12, 14
Sept 10 -- p. 16: 6, 10, 13, 15; p. 31: 1, 4, 5, 6, 7
Sept 17 -- p. 46: 1, 2, 3, 4, 5, 7 a-f, 10, 11 a,c,e, 12; there is a typo in 7, instead of reading "Which functions..." it should say, "For each of the given functions of two variables, do the following:"
Sept 24 -- p. 51: 1, 2, 3, 4, 5, 6; p. 61: 1, 2, 3, 5, 6
Oct 1 -- Study for the midterm on October 8 (in class)!
Tuesday, Oct 6 (due Wednesday, Oct 14 in your discussion section) -- p. 62: 7, 8, 9, 10; p. 72: 1, 2, 3, 4, 5, 6, 7
Oct 15 (due Oct 21) -- p. 75: 1, 2, 3, 4, 7; p. 81: 12, 13, 14, 16*; p. 91: 1a-f, 3, 5a, 7a,b (p.81:16 has a * because you are meant to think about this problem but you don't need to turn it in)
Oct 22 (posted Oct 15, due Oct 28) -- p. 99: 2, 5a-k, 7, 8, 9, 10; p. 104: 1, 2, 3, 4, 6, 7, 10, 11
Oct 29 -- p. 120: 1a,b,c, 2, 3a,b, 5a-e, 6a-c, 7, 10
Nov 5 (posted Nov 2) -- Study for the midterm on Nov 12 (in class)!
Nov 10 (due Nov 18) -- p. 133: 1, 2, 7, 12, 13, 14, 15, 18, 19; p. 142: 4
Nov 17 (due Nov 25) -- p. 142: 1, 2, 3; p. 151: 1, 2, 3, 4
Nov 24 (due Dec 2) -- p. 159: 1, 2, 3, 5 a-e,h,i
Dec 3 -- Homework
Dec 10 (posted Dec 7) -- Study for the last exam on Dec 21

Material Covered
After each lecture, a brief description of the material covered will appear here. This is not an exhaustive list of topics covered, and reading these topics from the book is not a substitute for attending lecture. However, if you miss one or two lectures, reading these topics would be a good place to start.
Sept 3 -- Defined vectors, vector addition, scalar multiplication, dot product, and began talking about the cross product.
Sept 8 -- Finished talking about vectors and cross products. Defined limits and derivatives of vectors and their basic properties and rules.
Sept 10 -- Talked about curvature, and the vectors T, N, B, with several examples. Explained what it meant for these things to be independent of the parameterization.
Sept 15 -- Introduced functions of many variables, and talked about domain, range, graphs, level sets, etc.
Sept 17 -- Talked about quadratic forms and polar coordinates. Also introduced the limit of a function of two variables, but will return to this next time.
Sept 22 -- Finished talking about limits. Introduced continuity and used it to compute limits. Defined the partial derivative and computed various examples. Discussed what this means geometrically.
Sept 24 -- Introduced tangent planes, linear approximations, the defintion of differentiable, and discussed the chain rule.
Sept 29 -- More on Chain Rule
Oct 1 -- Reviewed for the exam
Oct 6 -- Implicit functions, coordiante transformations, and applications of chain rule
Oct 8 -- Exam
Oct 13 -- When is a vector valued function the gradient of a scalar valued function? How to find it. Local max, min, etc, and critical points.
Oct 15, 20 -- Second derivative test, with examples, and Lagrange multipliers.
Oct 22 -- Introduced the double integral
Oct 27 -- Learned how to compute double integrals with several examples. Fubini's theorem.