24aug07 Syllabus [check for updates and revisions often] Math 348 F07 "Advanced Composition in Fundamental Mathematics" Text: Liebeck, A Concise Introduction to Pure Mathematics", 2nd ed. Instructor: George Francis, section C1, 10MTWR. See also http://new.math.uiuc.edu/math348/ for calendar, updates, notes and frequently asked questions (FAQ). Key: Day-Week labels. Text sections in [x.y]. Exercises in . Nota Bene Most of the class does not have a textbook yet. Until this is remedied, we will work from classnotes, which you will find in the Notes directory. In particular, the homework assignments reflect this situation. Due on M2 are Exercises 1-5 on the Truthtables sheet. Part I (3 weeks) Logic, Sets, Notation and Proofs. Chapters 1, 2, 3, 4. W1 Introductory Lecture and Course Outline. Lectures/homework/seminars/papers/LaTeX. R1 Lesson: Propositional Logic and Truth Tables F1 Special session: Workshop on propositional logic. M2 Lesson: Predicate Logic (Ch 1) Read Chapter 2 for Wednesday. Homework set M2 is due. T2 Seminar: Material Implication in Proofs. Computer Lab: Introduction to LaTeX. W2 Lesson: Irrational Numbers (Ch 2) Seminar-W3: Read and prepare Ch3 on Decimals. Homework set W2 is due. Part II (4 weeks) Integers, Number Theory, Public Key Codes Chapters 11, 12, 13, 14, 15, 16. Part III (6 weeks) Reals, Limits, Derivatives and Integrals. Chapters 10 and supplementary in class and on the web. Termpaper due F13 (before Turkey Vacation) Hourly II on T14 (after Turkey Vacation) Write up the solution to your seminar problem in LaTeX or very legibly (college rule, one side, skip line) by hand and submit M14. Tests: An hourly at the conclusion of each part. Papers: The advanced composition credit involves roughly 30 pages of corrected and rewritten text. For MA348 this includes selected homework assignments, seminar reports, expository essays, and one research paper. All papers will be written in LaTeX.