This course is a proof-oriented version of one- and several-variable Calculus.
The course meets 7 hours a week: 11:15am-12:05pm TuThF, and 10:10am-12:05pm MW (break: 11:00-11:15), in MechE 108.
The TEXT is Basic Elements of Real Analysis, by Murray H. Protter.
Office Hours: 10:10 - 11 TuThF; "on demand": just after class. Otherwise, by appointment -- or call 5-3855 to see if I'm in and available.
Links, if any, to other Web pages pages related to this course will go here. Announcements, hints, "news" will also be here.
Gradelines for Test 1: A 62, B 52, C 42, D 30.
Gradelines for Test 2: A 63, B 53, C 43, D 31.
Gradelines for Test 3: A 66, B 54, C 44, D 32.
NEW! Gradelines Special Problems: "Possible" 95, A 62, B 52, C 43, D 33.
NEW! Gradelines Homework: Possible: 340, A 272, B 204, C 136, D 102.
NEW! WEIGHTS: Best 2 Tests, 30%; HW 20%; Special Problems 20%; Best of Finals 30%.
NEW! Gradelines Final, part 1: "Possible" 120, A 96, B 72, C 48, D 36.
There will be 3 Tests, with the worst one dropped. Test 2: July 18; Test 3, July 27.
The Final Exam will occupy August 3 and August 4. If you're satisfied with your grade on August 3, that will be your grade for the Final. Otherwise, you can try to improve on August 4, and the better one will yield your grade for the Final.
Quizzes (such a Quiz 1, below) will appear regularly (about 1 per week). The questions that appear on quizzes may be used, or may be changed slightly and used on Tests!
CHALLENGE PROBLEM 3 is available on the "Assignment" link. Note that Challenge Problems have to be well and neatly written!! "Suitable for Publication" is a good guide...
EXTRA CLASS MEETINGS: July 20, 21, 28 and August 1, all at 10:10 in the usual place: ME 108.
PDF files (you need Adobe Acrobat Reader to view them):
partial Quiz answers, June 22.
Add'l text: Existence of Square root of y \ge 0.
Add'l text: Intermediate Value Theorem.
A solution for Special Problem 2.
Axioms and basic properties of the Real Numbers.
Below: background material from an earlier version of this course
Sets, variables and quantifiers
A CHALLENGE problem
Either prove (using ONLY A1 - M6) that x0=0 for all
real x, OR prove that this CAN'T be proved using only A1 - M6.