Professor: Maria Terrell, Tuesdays 9-11am in Malott 225
TA: Daniel Miller, Fridays 3-4:30pm in Malott 218
Lectures: Tue/Thu 2:55-4:10pm, Malott 207
Recitations: Fri 9:05-9:55am, Rockefeller 110
Textbook: Calculus with Applications, to appear. A digital copy is being distributed among students; if you haven't got one, email Dr. Terrell or Daniel Miller.
Syllabus and course information.
You are encouraged (but not required) to typeset your homeworks with LaTeX, a high-quality document typesetting system used by essentially all professional mathematicians. You can download LaTeX for Windows here. To aid you in the learning process, I will post the source-code for my solutions on GitHub. You are welcome to download them and use them as guidelines for writing your own homeworks. A fantastic place to learn more about using LaTeX is here. Note that at the end of the semester, you will have to hand in a homework portfolio which must be typeset with LaTeX. So, while you don't have to use LaTeX throughout the semester, it is worth starting to learn it right away.
First week. I've included a proof of the general AG-inequality.
Second week. Includes a proof of the convergence of $\sum_{n\geq 1} \frac{b^n}{n!}$. The source code for the sample TeX file I created can be found at my GitHub page.
Third week. Note that the example induction problems c) and d) ask you to prove something false. They serve as a warning to those who think induction means "try the first few cases."
Fourth week. Problems 1 and 2 ask you to prove something false. Hopefully they will convince you to not prove a general statement with a specific example.
First assignment. The source code is here. I used code found here to draw the number lines.