MATH 409
Advanced Calculus I
Study Abroad France 2017
Instructor: Florent Baudier
Lectures: In College Station: MTWR 8:30-10:00 a.m. and 10:15-11:45 a.m. in BLOC 605AX
In Besançon: typically MTWRF 8:30-10:30 a.m. in room 309B
Course description: Axioms of the real number system; point set theory of the real number line; compactness, completeness and connectedness; continuity and uniform continuity; sequences, series; theory of Riemann integration. A main goal of the course, essential to mastering the indicated material, is to learn how to apply precise mathematical reasoning in reading, understanding, and writing proofs of theorems in analysis.
Textbook: Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner, Elementary Real Analysis, Second Edition (2008), Volume One. The course material is contained in Chapters 1, 2, 4, 5, 7, and 8 and is available for free download.
Lecture Notes: Lecture notes
Homeworks: Homework 1 Homework 2 Homework 3 Homework 4
Exams: Solution key Midterm
Quizzes: daily
Midterm: Tuesday June 6th, 8:30-10:30 a.m.
Final exam: Thursday June 22nd, 1:30-3:30 p.m.
Schedule:
Week 1
Monday, May 22nd Tuesday, May 23rd Wednesday, May 24th Thursday, May 25th Friday, May 26th
8:30-10:00 a.m.

10:15-11:45 a.m.
8:30-10:00 a.m.

10:15-11:45 a.m.
8:30-10:00 a.m.

10:15-11:45 a.m.
8:30-10:00 a.m.

10:15-11:45 a.m.
no class
Week 2
Monday, May 29th Tuesday, May 30th Wednesday, May 31st Thursday, June 1st Friday, June 2nd
no class 8:30-10:30 a.m. 8:30-10:30 a.m.
8:30-10:30 a.m.
8:30-10:30 a.m.
Week 3
Monday, June 5th Tuesday, June 6th Wednesday, June 7th Thursday, June 8th Friday, June 9th
reading day 8:30-10:30 a.m.
MATH 409 Midterm
8:30-10:30 a.m.
8:30-10:30 a.m.
8:30-10:30 a.m.
Week 4
Monday, June 12th Tuesday, June 13th Wednesday, June 14th Thursday, June 15th Friday, June 16th
8:30-10:30 a.m.
8:30-10:30 a.m.
8:30-10:30 a.m.
8:30-10:30 a.m.
8:30-10:30 a.m.
Week 5
Monday, June 19th Tuesday, June 20th Wednesday, June 21st Thursday, June 22nd Friday, June 23th
8:30-10:30 a.m.
8:30-10:30 a.m.
MATH 409
final review

reading day
1:30-3:30 p.m.
MATH 409 FINAL
no class