Calculus and Linear Algebra

Math 25B, Harvey Mudd College
Profs. Dagan Karp and Michael Orrison

Catalogue Description

Theory and techniques of differential and integral calculus of a single real or complex variable; infinite series, including Taylor series and convergence tests. Theory and applications of vectors and matrices, including systems of linear equations; linear transformations in Euclidean space; determinants, eigenvalues, eigenvectors, and diagonalization. An introduction to multivariable calculus, including partial derivatives, double and triple integrals. The topics covered in 25B are the same as those covered in 25G, but this course digs deeper into the theory and applications of the materials. Prerequisites: Mastery of single-variable calculus.


Dagan Karp (, Olin 1267.
Office Hours: Mon/Thu 3-4 and by appointment.

Michael Orrison (, Olin 1280.
Office Hours: by appointment.


Michael Earnest, Leverett Morgan, Liya Temin, Tim Yee.


Academic Excellence mathematics tutoring is available on Sundays, Tuesdays, and Thursday, from 8:00 to 10:00 PM, in the Riggs Room at the LAC.


Linear Algebra, 3rd ed. by David Poole.


There will be homework and three exams, each contributing 20% to you final grade. The remaining 20% of your grade will be based on class participation and the maximum of your homework and exam scores.


Written homework will be due twice a week at the beginning of class. You are encouraged to discuss the homework with your classmates, and it is appropriate to acknowledge the assistance of others. You will, however, be expected to write up your solutions on your own. The instructors reserve the right to refuse to accept late homework, and your lowest homework score will not be used to compute your homework average.


Students who need disability-related accommodations are encouraged to discuss this with the instructors as soon as possible.