Mathematics 350 Advanced Calculus I ___________________________________________________________________ Text Book: "An Introduction to Analysis," Second Edition Author: James R. Kirkwood Publisher: Waveland Press, Inc. __________________________________________________________________ Syllabus: Chapters 1 through 6. A few sections from chapters 7 and 8 will be covered if time allows. ___________________________________________________________________ Course Coverage: Field Axioms; Sequences of Real Numbers; Bolzano- Weierstrass Theorem; Topology of the Real Numbers; Limits and Continuity; Monotone and Inverse Functions; Differen- tiation; Mean Value Theorems; The Riemann Integral; Riemann- Stieltjes Integral; Properties and Applications of Integration; Series of Real Numbers; Sequences and Series of Functions. ___________________________________________________________________ Grading (with tentative content of exams): Quests (chapters 1 (8%), 3 (8%), and 5 (8%)) 24% Quizzes 10% Exam 1 (chapters 1 and 2) 16% Exam 2 (chapters 3 and 4) 16% Homework 12% Final Exam (comprehensive) 22% +/- grading system will be used __________________________________________________________________ Resources: 1. "Principles of Mathematical Analysis," W. Rudin. 2. "Introductory Real Analysis," A.N. Kolmogorov and S.V. Fomin. 3. "Mathemaical Analysis," T.M. Apostol. 4. "Elementary Classical Analysis," J.E. Marsden and M.J. Hoffman ___________________________________________________________________ Remarks: 1. To pass this class (letter grade D) your total course score (computed according to the above percentages) must be at least 50. 2. No late homeworks will be accepted. 3. There are no make up exams. In case of an emergency please make sure to contact me as soon as possible to make appropriate arrangements for late homeworks and exams. 4. All exams will be closed books and closed notes. 6. There will be absolutely no makeup final exams. Make sure that you don't have any conflicts with the time and the day of the final exam for this class. ____________________________________________________________________ University Policy for Adds and Drops: Please make sure to read the new university policy for adds and drops. This new policy is significantly different and stricter than the old math dept add/drop policy. You can find a link to this new policy under the "Announcements" section of this web page. ____________________________________________________________________