**APSC 172**

**Calculus II**

**Units: 3.30**

This course continues calculus concepts from APSC 171, including space curves, speed, and velocity. Functions of several variables, partial derivatives, differentials, error estimates, gradient, maxima and minima. Double and triple integrals, polar and cylindrical coordinates; applications to mass, center of mass, moment. Series, power series; Taylor polynomial approximations, error analysis.

(Lec: 2.8, Lab: 0, Tut: 0.5)

(Lec: 2.8, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: APSC 171 Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

Mathematics 40

Natural Sciences 0

Complementary Studies 0

Engineering Science 0

Engineering Design 0

**Offering Faculty:**Smith Engineering

**Course Learning Outcomes:**

- Use an appropriate derivative-related method in two or three dimensions to solve a mathematical problem that arises from modeling a real-world problem.
- Construct and use power-series representations as alternative function representations and as function approximations.
- Use an appropriate integral-related method in two or three dimensions to solve a mathematical problem that arises from modeling a real-world problem.