Discrete Mathematics I
MTH 231
Summer 2010
Sets, logic and proof methods including weak and strong induction. Functions, relations, recurrence relations, and analysis of algorithms.
Differential Calculus
MTH 251
Summer 2009; Spring 2010 – 2015; 2016/2017 academic year.
Covering limits, derivatives, and applications of derivatives such as related rates, optimization, linear approximation, and l’Hôpital’s Rule.
Integral Calculus
MTH 252
Winter 2017.
Riemann integration, including Riemann sums. Integration techniques including substitution, trigonometric substitution, integration by parts, and partial fractions. Applications to physics: force and work done.
Vector Calculus I
MTH 254
Summer 2013, 2014, Spring 2017
Differentiation and integration in multiple dimensions, covering vector-valued functions of a real variable, and real-valued functions of two or three variables. Applications to physics: velocity, acceleration, curvature of motion in space. Multivariable optimization and Lagrange multipliers. Integration in polar, cylindrical, and spherical coordinates. Fubini’s Theorem.