**APSC 171**

**Calculus I**

**Units: 3.30**

Graphs and derivatives of vector-valued functions; related applications. Implicit derivatives and related rate applications. Fundamental Theorem of Calculus, Riemann integral; applications to problems involving areas, volumes, mass, charge, work, etc. Integration by substitution, by parts, and partial fractions. Introduction to second-order differential equations and complex numbers.

K3.3(Lec: Yes, Lab: No, Tut: Yes)

K3.3(Lec: Yes, Lab: No, Tut: Yes)

**Offering Term:**F

**CEAB Units:**

Mathematics 40

Natural Sciences 0

Complementary Studies 0

Engineering Science 0

Engineering Design 0

**Offering Faculty:**Smith Engineering

**Course Learning Outcomes:**

- Constructs mathematical descriptions or expressions to model a real-world problem.
- Uses an appropriate derivative-related tool to solve a mathematical problem that arises from modeling a real-world problem.
- Uses an appropriate integral-related tool to solve a mathematical problem that arises from modeling a real-world problem.
- Uses an appropriate differential equation solution technique or numerical method to solve a mathematical problem that arises from modeling a real-world problem.
- Selects and describes appropriate numerical methods to solve mathematical problems that arise from modeling a real-world problem.
- Uses solution to mathematical problems to inform the real-world problem that gave rise to it.