at the University of Washington is a rigorous 3-credit course that serves as the gateway to advanced mathematics. It is often considered one of the most challenging classes in the undergraduate curriculum because it shifts from calculation-based calculus to the formal theory of the real number system and proof-writing. Course Overview & Core Topics
by Patrick M. Fitzpatrick: Another common department-suggested textbook . 🛠️ Pro-Tips for Success math 327 uw
The course is cumulative. If you don't grasp the Archimedean Property in week 2, Cauchy sequences in week 5 will feel like a foreign language. at the University of Washington is a rigorous
(The "Baby Rudin") by Walter Rudin: The gold standard for rigor, known for its "elegant" but incredibly dense proofs. Fitzpatrick: Another common department-suggested textbook
: Typically involves three weekly lectures and emphasizes the construction of clear, logical mathematical proofs. Department of Mathematics | University of Washington +2 Required & Recommended Textbooks Instructors commonly use or reference the following texts available through the UW Math Department : Advanced Calculus (2nd Ed.) by Patrick M. Fitzpatrick. Principles of Mathematical Analysis (3rd Ed.) by Walter Rudin (often called "Baby Rudin"). Elementary Analysis (2nd Ed.) by Kenneth A. Ross. Department of Mathematics | University of Washington +1 Show more Student Resources & Tips 11 sites Math 327 Instructor Elena Pezzoli; pezzoli@math.washington.edu Late homework will not be accepted, but I will drop your worst HW score. A number of problems from each homework assignment will b... Department of Mathematics | University of Washington Math 327: Dept of Mathematics, University of Washington Textbooks. Advanced Calculus (Second Edition) by Patrick M. Fitzpatrick. Principles of Mathematical Analysis (Third Edition) by Wa... Department of Mathematics | University of Washington Math 327 | Department of Mathematics Math 327 - Introduction to Real Analysis * Advanced Calculus (Second Edition) by Patrick M. Fitzpatrick. * Principles of Mathemati... Department of Mathematics | University of Washington Show all Writing Tips
The course begins by dismantling the intuition you built in calculus. In calculus, you dealt with "continuous" functions as those you could draw without lifting a pencil. In Math 327, you learn that intuition is dangerous.
The first act of the story involves . You revisit the concepts of limits, continuity, and differentiation, but this time using the precise language of epsilon-delta definitions (formalized by Karl Weierstrass). You learn that the number line is weirder than you thought.