Background and Goals
MATH 295-296-395-396 is the most theoretical and demanding Honors calculus sequence. The emphasis is on concepts, problem solving, as well as the underlying theory and proofs of important results. It provides an excellent background for advanced courses in mathematics. The expected background is high school trigonometry and algebra (previous calculus not required, but helpful). This sequence is not restricted to students enrolled in the LSA Honors program. MATH 295-296 may be substituted for any MATH 451 requirement. MATH 296 and 395 may be substituted for any MATH 420 requirement.
Content
Axioms of the real numbers, completeness and connectedness in the
real line. Functions of a real variable, limits and continuity, uniform
continuity, extreme and intermediate value theorems, differentiation,
integration, the fundamental theorem of calculus, Taylor's theorem
with remainder.
Alternatives
MATH 156 (Applied Honors Calc II), MATH 175 (Combinatorics and Calculus) and MATH 185 (Honors Anal. Geom. and Calc. I) are alternative Honors courses.
Subsequent Courses
MATH 296 (Honors Mathematics II).
Course Requirements:
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Class Format:
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