# MATH 140H: Honors Calculus I

The final exam for MATH 140H is Tuesday, December 13, 2:30-4:20 PM, in 100 Thomas.

I am Stephen G. Simpson, a Professor of Mathematics at Penn State University. In Fall 2011 I am teaching MATH 140H, Honors Calculus I.

Here are the homework assignments for MATH 140H.

• Homework #1, due Wednesday August 31: Section 1.4 Exercises 4, 6, and Section 1.5 Exercises 2, 6, 12, 20, 26, 30, 34, 40, and Section 1.6 Exercises 8, 10, 18, 30, 36, 46, 54, 58.
• Homework #2, due Friday September 9: Section 1.8 Exercises 6, 10, 14, 24, 30, 38, 40, 46, 50, 66, and Section 2.1 Exercises 4, 10, 12, 14, 18, 30, 32, 34, 46, 54.
• Homework #3, due Monday September 19: Section 2.2 Exercises 2, 14, 16, 22, 24, 38, 42, 49, 54, and Section 2.3 Exercises 2, 18, 24, 32, 44, 50, 52, 62, 70, 76, 80, 86, 96, 100, 104.
• Homework #4, due Monday September 26: Section 2.4 Exercises 16, 24, 34, 40, 42, 46, 48, 54, and Section 2.5 Exercises 2, 18, 30, 52, 54, 62, 66, 70, 86, 90, and Section 2.6 Exercises 10, 14, 22, 30, 40, 44, 50, 62.
• Homework #5, due Wednesday October 12: Section 2.7 Exercises 10, 18, 30, and Section 2.8 Exercises 10, 18, 38, 46, and Section 2.9 Exercises 2, 4, 18, 24, 28, 30, 34, 42.
• Homework #6, due Friday October 21: Section 3.1 Exercises 18, 28, 36, 38, 40, 42, 52, 54, 64, 68, and Section 3.2 Exercises 2, 4, 6, 12, 14, 16, 22, 26, 28, and Section 3.3 Exercises 4, 10, 12, 14, 16, 22, 32, 36, 38, 52, 54, 57, 60, 62, 70.
• Homework #7, due Wednesday October 26: Section 3.4 Exercises 4, 8, 14, 30, 34, 38, 42, 46, 50, 62, and Section 3.5 Exercises 12, 14, 16, 24, 32, 50, 54, 56, 58, and Section 3.7 Exercises 6, 10, 14, 16, 20, 30, 38.
• Homework #8, due Friday November 11: Section 3.9 Exercises 12, 16, 24, 36, 40, 42, 66, and Section 4.1 Exercises 4, 8, 18, 22, 30, and Section 4.2 Exercises 4, 8, 12, 20, 24, 28, 38, 48, 56, 68, 72.
• Homework #9, due Friday November 18: Section 4.3 Exercises 4, 6, 12, 16, 24, 32, 42, 48, 58, 62, and Section 4.4 Exercises 12, 14, 16, 30, 40, 46, 50, 52, 54, 60, and Section 4.5 Exercises 2, 6, 8, 12, 18, 28, 36, 44, 56, 64.
• Homework #10, due Friday December 2: Section 5.1 Exercises 4, 10, 12, 18, 28, 44, 52, and Section 5.2 Exercises 8, 30, 32, 61, 64, and Section 5.3 Exercises 6, 14, 20, 30, 42, 48.
Solutions for some of the MATH 140H homework problems are available.

Students in MATH 140H will take the same midterm exams and final exam and do the same kind of homework as students in the standard MATH 140, Calculus I. But in addition, MATH 140H will include supplementary material on the foundations of calculus. This will involve extra homework and a term paper. Here are some readings on the foundations of calculus.

• Richard Dedekind, Essays on the Theory of Numbers, Dover, 1963, III + 115 pages. Downloadable version.
• Solomon Feferman, The Number Systems: Foundations of Algebra and Analysis, Chelsea, 1989, XII + 418 pages.
• Elliott Mendelson, Number Systems and the Foundations of Analysis, Academic Press, 1973, XII + 358 pages.
• Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, Springer, 1980, X + 351 pages.
My lecture notes for this part of the course are available. The homework for this part of the course is as follows:
• Supplementary Homework #1, due Wednesday October 19: Exercises 1, 2, 3 in the lecture notes.
• Term paper proposal, due Friday November 18.
• Term paper, due Friday December 9.

Here are links to some standard course materials for MATH 140.

Additional course materials for MATH 140, including the Student Solutions Manual, are available on ANGEL.

Here are my Fall 2011 office hours.

• Wednesdays, 3:35-4:25 PM, 216 McAllister (for all MATH 140 students).
• Wednesdays, 4:40-5:30 PM, 305 McAllister (for my students only).
• Thursdays, 9:30-11:00 AM, 305 McAllister (for my students only).

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simpson@math.psu.edu   /   9 December 2011
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