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# ∞ Honors Sequences

Students need not be enrolled in the LSA Honors Program to enroll in any of the courses that form the Honors Sequences, but, with the exception of MATH 156, they must have the permission of an Honors Mathematics advisor to do so.

**Applied Honors Calculus Sequence**(MATH 156-285-286): Applied Honors Calculus II (MATH 156) is designed for engineering and science majors who received a score of 4 or 5 on the AP exam (AB or BC). MATH 156 is an alternative to MATH 116 with more emphasis on science applications and theory. The sequence continues with courses in multivariable calculus and differential equations (MATH 285-286), which are alternatives to MATH 215-216.**Honors Seminar Mathematics Sequence**(MATH 175-176-285-286): MATH 175 (Introduction to Cryptography) and MATH 176 (Explorations in Topology and Analysis) are taught in the Inquiry-Based Learning (IBL) style. The IBL method emphasizes discovery, analysis, and investigation to deepen understanding. These courses assume a knowledge of calculus roughly equivalent to MATH 115; they cover a substantial amount of basic number theory (MATH 175) and provide a good, high level understanding of calculus (MATH 176). The sequence concludes with Honors versions of multivariable calculus (MATH 285) and differential equations (MATH 286).**Honors Calculus Sequence**(MATH 185-186-285-286): Honors Calculus I and II (MATH 185 and 186) rigorously develop the concepts of calculus. These courses are intended for students who desire a complete understanding of the theoretical underpinnings of calculus, and they lay a solid foundation for future Mathematics courses. The sequence concludes with Honors versions of multivariable calculus (MATH 285) and differential equations (MATH 286). Most students who take MATH 185 have taken a high school calculus course, but it is not required.**Honors Mathematics Sequence**(MATH 295-296-395-396): The Honors Mathematics Sequence provides a rigorous introduction to theoretical mathematics. These courses require an extremely high level of interest and commitment and provide excellent preparation for mathematics at the advanced undergraduate and beginning graduate level. Most students electing MATH 295 have completed a thorough high school calculus course.