Topics, reading and homework assignments are given below. Beyond a week or two out the schedule is tentative (or non-existent). Hence I will update this page very often. It is your responsibility to check it frequently to see what's going on in class. In particular, you will find all new homework assignments here, and soon after you turn in an assignment, I will post solutions for you to look at.
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Dates |
Topics |
Reading |
Homework |
Miscellaney |
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8/27-8/29 |
Vectors in Rn |
1.1-1.2 |
Note that the location for our tutorial changed (on 8/27) to DBRT 125. The Putnam exam is the US's foremost college math competition. Prof Galvin runs a 1 credit problem-solving course for students who'd like to prepare for the Putnam. Consider signing up—no prior experience needed! |
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9/1-9/5 |
Subspaces Linear transformations and matrices |
1.3 1.4 |
The two graders for this course have both decided to hold office hours for you in the partitioned off space in the math library: Jack Burkhart from 9-10 PM Mondays (except 9/1), and Austin Rodgers from 5-7 PM Tuesdays. |
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9/8-9/12 |
More matrices Functions and topology |
2.1-2.2 |
I put two more books on reserve in the math library: Linear Algebra: a Geometric Approach by (our) Shifrin and Adams, and Mathematical Thinking: Problem Solving and Proofs by D'Angelo and West. Mathematica notebooks concerning curves and graphs/contourplots of scalar-valued functions. |
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9/15-9/19 |
Limits and continuity |
2.3 |
From now on, I will hold Wed office hours in the partitioned off space in the math library. Math club will hold it's inaugural meeting Thursday 9/18 at 9 PM in Hayes-Healy 127. All the really cool people will be there. Unless you decide not to attend yourself. But that's purely hypothetical. |
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9/22-9/26 |
Limits (continued) Partial and directional derivatives |
A note to supplement the 9/24 lecture 3.1 |
Bounty notice: I will give 1 extra hwk point to the first person who points out each substantial typo in a homework assignment; I'll give ½ extra point for pointing out mistakes in my solutions. Greg Greif pointed me to a point and click java applet for plotting in 3D. It's fairly intuitive—easier than Mathematica, though it does require you to enable java in your browser (a security issue). |
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9/29-10/3 |
Differentiation |
3.2 |
Review sheet for midterm 1 |
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10/6-10/10 |
The chain rule |
3.3 |
1st midterm, Monday October 6 Math for Everyone this Thursday at 5 PM in 105 Jordan Hall: Computer proofs, are they rigorous? by Joshua Cooper (University of South Carolina). Food for thought followed by actual food. |
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10/13-10/17 |
Derivatives of scalar-valued functions and of curves Higher order derivatives |
3.4, 3.5 (I won't discuss Kepler's laws right now) 3.6 |
Jack Burkhart will not hold office hours Monday 10/13. Mathematica notebook concerning gradients, level sets, etc. Mathematica notebook concerning tangents, normals, etc for curves. My version of the proof of equality for mixed partial derivatives |
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10/27-10/31 |
Linear systems Inverting matrices |
4.1 4.2 |
Brief Mathematica notebook concerning linear systems. |
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11/3-11/7 |
Bases and dimension Four fundamental subspaces |
4.3 4.4 |
11/9/14: I changed the last problem on hwk 10 and reposted it. |
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11/10-11/14 |
Extreme Value Theorem Max/Min Problems |
5.1 5.2, 5.4 |
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Math Club will be hold an Undergraduate Advising Night in the partitioned off area of the Math Library this Tuesday, November 11th, from 8:30-9:30 PM. Math Jeopardy, this Wed 5-6 PM in Hayes-Healy 127, featuring Profs Gekhtman, Ledrappier and Nicolaescu as panelists. Math for Everyone this Thursday at 5 PM in 105 Jordan Hall: Who's Number One? From Ranking to Bracketology by Timothy Chartier (Davidson College). Food for thought followed by actual food. |
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11/17-11/21 |
Lagrange multipliers Least squares, orthogonal bases |
5.4 5.5 |
Review sheet for midterm 2 Mathematica notebook concerning orthogonal projections and least squares solutions of linear systems. |
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11/24 |
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2nd midterm, Monday Nov 24 |
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12/1-12/5 |
Non-linear systems of equations and Newton's method |
4.5 6.1,6.2 (I'm not staying very close to Shifrin here) |
Math for Everyone panel discussion What to do Mathematically over the Summer this Thursday at 5 PM in 117 Hayes-Healy (note different location). I want to be at this one, so (to make more time for hwk questions) there'll be no quiz on Thursday, and I'll be available in my office to answer questions the hour 2:30-3:30 before Thursday's class. Mathematica notebook concerning Newton's method |
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12/8-12/11 |
Implicit function theorem and manifolds |
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I will use Wed rather than Thurs as tutorial this week. After class on Thursday, I will discuss summer math possibilities with anyone interested enough to hang around. Review sheet for the final exam. Also, for reference sake, here are exam 1 and exam 2 Final exam Thurs 12/18 from 4:15-6:15 in DBRT 317 |