### 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.