This course explores Riemann sums, definite integrals, and indefinite integrals for real-valued functions of a single variable. These topics will be explored graphically, numerically, and symbolically in real-life applications. This course emphasizes abstraction, problem-solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of technology.
Course Outcomes
At the end of the course, students will be able to…
- Approximate definite integrals using Riemann sums and apply this to the concept of accumulation and the definition of the definite integral.
- Explain and use both parts of the Fundamental Theorem of Calculus.
- Choose and apply integration techniques including substitution, integration by parts, basic partial fraction decomposition, and numerical techniques to integrate combinations of power, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions.
- Use the integral to model and solve problems in mathematics involving area, volume, net change, average value, and improper integration.
- Apply integration techniques to solve a variety of problems, such as work, force, center of mass, or probability.
Prerequisites
Equivalent placement test scores also accepted.
Prerequisite Courses
Additional Information
This course fulfills the following GE requirements: Science, Math, Computer Science/AS, Science, Math, Computer Science/AAS, Science, Math, Computer Science/AGS, Science, Math, Computer Science/ASOT-B, Science, Math, Computer Science/AAOT.