Announcements HW#6 was post and is due Friday, Oct. 20.
 HW#5 is due Monday, Oct. 16.
 Office Hours of the week of Oct. 9: Monday, 11amNoon and 4:30pm6:30pm, in 809 Van Vleck.
 Welcome to the class! The first lecture is at 12:05pm on Wednesday, Sep. 6, in B135 Van Vleck.
Lectures
Time: 12:05pm12:55pm, on Mondays, Wednesdays, and Fridays Location: B135 Van Vleck Hall
Instructor
Lu Wang Office: 809 Van Vleck Hall
Office Hours
Time: 11amNoon, on Mondays and Wednesdays Location: 809 Van Vleck Hall
Textbook
Title: Topology (2nd Edition) Author: James Munkres Publisher: PEARSON ISBN 13: 9780131816299
Syllabus Elementary Set Theory: sets, Cartesian products, equivalence relations, countability, the real line
 Basic Topology: metric spaces, topological spaces, basis, continuity, connectedness, compactness
Homework
There will be weekly homework assignments mostly selected from the textbook. Assignments are usually posted here on Fridays and due in the beginning of the lecture on the following Friday. No late homework will be accepted, but the lowest two scores will be dropped when calculating the course grade.  HW#1 (due Sep. 15): Section 1: #1, 2, 8, 10
 HW#2 (due Sep. 22): Section 2: #1, 4, 5; Section 3: #4, 9; Section 5: #1
 HW#3 (due Sep. 29): Section 6: #2, 3, 5, 6; Section 7: #1, 2, 3. For Honor Students: Section 6: #7
 HW#4 (due Oct. 6): Section 13: #1, 3, 4, 5. For Honor Students: Section 13: #7
 HW#5 (due Oct. 16): Section 16: #1, 3, 4, 6; Section 17: #6, 8(a)(b). For Honor Students: Section 16: #9, 10; Section 17: #8(c)
 HW#6 (due Oct. 20): Section 17: #9, 11, 12, 13. For Honor Students: Section 17: #19
 HW#7 (due Oct. 27): Section 18: #3, 4, 5, 6, 10, 11, 12
Exams
There will be two closebook (i.e., no textbook, notes, homework, etc. are allowed), inclass midterm exams and one takehome final. Makeup exams will be provided only with the instructor's consent, and only in case of illness, academic conflicts, or family emergency. The tentative exam times are listed here.  Midterm I: Oct. 11, in class (Chapter 1: Sections 17; Chapter 2: Sections 1215)
 Midterm II: Nov. 15, in class
 Final: due Dec. 19, takehome
Grading Homework: 20%
 Midterm I: 25%
 Midterm II: 25%
 Final: 30%
Letter grades for the course will be roughly assigned according to the following standard:  A: 90+
 AB: 86+
 B: 77+
 BC: 72+
 C: 60+
 D: 48+
 F: 0+
Lecture Schedule
The following lecture schedule will be updated during the semester.  Week of Sep. 6
 Introduction
 Logic and elementary set theory: Munkres 11
 Week of Sep. 11
 Functions, domain and range: 12
 Injective, surjective, bijective functions: 12
 Inverse image of sets in range of functions: 12
 Relations and equivalence relations: 13
 Order relations and dictionary relations: 13
 Week of Sep. 18
 Supremum and infimum: 13
 Real numbers, wellordering property and induction: 14
 Finite and countable Cartesian product: 15
 Finite sets: 16
 Proof that cardinality of a finite set is welldefined: 16
 Finite unions and finite cartesian products of finite sets are finite: 16
 Week of Sep. 25
 Infinite sets, countably infinite: 17
 Countable union of countable sets is countable
 Finite Cartesian product of countable sets is countable
 {0,1}^\omega is uncountable
 The set of real numbers is uncountable
 The power set of X cannot be in bijection with X
 Definition of a topology: 212
 Discrete and trivial topologies
 Week of Oct. 2
 Basis for a topology: 213
 Subbasis for a topology
 The Order Topology: 214
 The Product Topology: 215
 Week of Oct. 9
 The Subspace Topology: 216
 Midterm I on Oct. 11
 Closed sets: 217
 Closure and interior of a set
 Week of Oct. 16
 Limit points: 217
 Hausdorff spaces
 Continuous functions: 218
 Homeomorphisms and embeddings
 Week of Oct. 23
 Rules for continuous functions: 218
 Pasting together continuous functions
 Continuous maps into product spaces
 Arbitrary Cartesian products: 219
 Comparison of Box and Product Topologies
 Week of Oct. 30
 Week of Nov. 6
 Week of Nov. 13
 Week of Nov. 20
 No class on Nov. 24 due to thanksgiving recess
 Week of Nov. 27
 Week of Dec. 4
 Week of Dec. 11
