This half-semester course gives an introduction to the theory of infinite
series, and continues the theory of integration beyond what is covered in Math 114.
Math 115 is roughly the equivalent of the second half of the second semester of a standard
BC calculus course.
Math 115 is targeted primarily at two audiences. First, it is appropriate for students who
enter Haverford with a substantial background in calculus, but not enough to place
directly into multivariable calculus Math 121 (e.g., a strong
performance in an AB calculus course in high school). Students in this category
naturally follow Math 115 by our half-semester post-calculus course
Math 116. Second, Math 115
may be taken as a follow-up to the half-semester integral calculus course
Math 114. Math 115 is a good follow-up to Math
114 for students interested in the more conceptual side of mathematics, including
infinite series, whereas Math 116 may appeal to those with more applied interests.
Prerequisites: Math 114 or placement
Who should take this course?
Students who fall into one of the two groups described above
Students with a good background in limits, derivatives, and integrals, but who have not
yet seen or mastered infinite series
Students considering a major in mathematics and not placing into
Math 121, and interested in continuing to further courses in mathematics
Topics covered:
Improper integrals
Sequences and infinite series
Taylor polynomials and Taylor series
Complex numbers
Introductory topics in differential equations
For detailed information about Math 115 this year, please consult the list of Fall Courses and Spring Courses linked to the Mathematics and Statistics Home Page.