Tentative calendar
This calendar is subject to changes as announced in class. It shall serve only as a rough guide
by when we want to have completed which part of the syllabus. Homework assignments
will be posted here regularly, but announcements made in class have priority.
Last updates:
Apr 25: Final homework assignments (chapter 12).
Apr 13: Homework assignments for sections 11.4 - 11.6.
Apr 11: Homework assignments for sections 11.2 - 11.3.
Apr 6: Homework assignments for sections 9.2 and 9.3.
Apr 5 - 6: Date for test 3 confirmed.
"due date1 (date2)" means that the problems should be worked and be ready for presentation on date1,
but neatly (re)written solutions will only be collected on date2. The time in between is to allow
for extra questions, and touching up some details ...
Week 1 Jan 17   Martin Luther King Holiday Observed
Jan 18 Overview of class. Diagnostic test. due Th 1/20: Rework the diagnostic test. Prepare sections 0.1 and 1.2.
Jan 20 Discuss diagnostic test and prerequisites.
Ch. 1: The real numbers: Field and order axioms 		due (and collect) T 1/25: 1.2: 2, 3, 4, 6, 7.
due T 1/25 (collect Th 1/27) : 1.3: 1, 3ab, 4, 6, 7, 8, 10, 11.
Jan 21   Drop and add deadline: in person
Jan 23   Drop and add deadline: on-line
Week 2 Jan 25 1.3 Order axioms
1.4 Least upper bound axiom 		due Th 1/25 (1/30) : 1.4: 1, 2, 3, 4.
Jan 27
Week 3 Feb 1 more sup-axiom. Ch. 2: Distance and metric due Th 2/3 (2/3) : Ch. 2: 1, 2, 4ab, 5ab, 6.
Feb 3 Ch. 3: Open sets. Convergence of sequences. due T 2/8 (2/8) : 3.1: 1, 3, 4, 6, 8, 9.
Week 4 Feb 8 Ch. 3: Sequences in R, algebra of limits..
Excursion 6: limit superior and inferior. 		due T 2/8 (2/10) : 3.3: 1, 2, 4, 5a, 6.
due T 2/10 (2/17) : 3.4: 2, 3, 4, 6, 7, 8.       3.5: 1, 2, 4.
due T 2/15 (2/17) : Exc. 8.2.: 1, 2, 3, 4a, 6, 8.
Feb 10 Ch. 3: Limit points and closed sets
Week 5 Feb 15 Ch. 3: Closed sets and open sets due T 2/15 (2/17) : 3.6: 1, 2, 4, 7, 8, 9.       3.7: 1, 2, 4, 9, 10.
Feb 16 Test 1 in the testing center
Feb 17 3.5-3.7: Limits points, closures and closed sets.
4.2 Continuity. 		due 2/24 (3/3): 4.2: 1.
Week 6 Feb 22 4.3 Continuity
4.4 Uniform continuity 		due 2/24 (3/3): 4.3: 1, 2, 3, 4, 6, 7, 9.
Feb 24 due 2/24 (3/3): 4.4: 1, 2, 3, 4, 5, 7, 8.
Week 7 Mar 1 Ch. 5: Continuity and order
Ch. 5: Continuity and arithmetic 		due 3/3 (3/10) 5.1: 4, 5, 6.       5.2: 1, 2.
Mar 3 due 3/3 (3/10) 5.3: 1, 4, 5, 6, 7.
Week 8 Mar 8 Ch. 6: Cauchy sequences and completeness. due 3/8 (3/22) 6.1: 1, 3.
due 3/8 (3/22) 6.2: 2, 4.
Mar 9 Test 2 in the testing center
Mar 10 7.1: Compact sets due 3/10 (3/24) 7.1: 5, 6, 7, 11.
Mar 14-18   Spring break
Week 9 Mar 22 7.2: Compactness and continuity. due 3/21 (3/24) 7.2: 1, 6(=proof of thm 7.2.3).
Mar 24 Ch. 8: Connected sets due 3/24 (3/31) 8.2: 2, 3, 4, 6.
Week 10 Mar 29 Ch. 9: Differentiability versus continuity
Derivatives and monotonicity 		due 3/31 (4/7) 9.2: 3 - 10.
Mar 31 Ch. 9: Monotonicity and the Mean Value Theorem. due 4/5 (4/7) 9.4: 1 - 4, 7, 9, 10.
Apr 1   Withdrawal deadline: in person
Apr 3   Withdrawal deadline: on-line
Week 11 Apr 5 Ch. 9: L'Hopitals rule. Inverse function theorem. due 4/7 (4/14) 9.5: 1 - 4 (challenge 5, 6).   9.6: 2.
Apr 7 Ch. 11: The Riemann integral due 4/12 (4/19) 11.2: 1, 2, 3a, 4, 7, 8.
Week 12 Apr 12 Ch. 11: The Riemann integral due 4/14 (4/19) 11.3: 1, 2, 3a, 5, 6.
Apr 13 Test 3 in the testing center
Apr 14 Ch. 11: The Riemann integral due 4/19 (4/21) 11.4: 1, 2, 6.
Week 13 Apr 19 Ch. 11: Fundamental Theorem due 4/19 (4/21) 11.5: 1, 2, 4, 6a.     11.6: 1, 2.
Apr 21 Ch. 12 Sequences of functions 12.2: 1, 2, 4, 6, 8, 9, 10.
Week 14 Apr 26 Ch. 12: Uniform convergence 12.3: 1.
Apr 28 Ch. 12 Interchanging limits 12.4: 1, 2, 3, 4.
Week 15 May 3 Reflections and outlook
Last day of classes 		 
May 4   Reading day
May 5 First day of final exams
Friday May 6 10:00 - 11:50 a.m. MAT 371 Final Exam
Week 16 May 9 thru May 11 Final exams continue
May 12 Commencement