This course is an introduction to integral calculus and applications of the integral. It will cover real numbers, limits and continuity for functions of a single real variable, and differentiability and applications of the derivative.
Prerequisites
MAT 181 or higher with a grade of “C” or higher or math placement as established by District policy
Student Learning Outcomes
- Demonstrate and use limit notation.
- Calculate from first principles elementary limits.
- Demonstrate the idea of continuity of a function of a single real variable.
- Define the derivative of a function of a single real variable.
- Compute the derivatives of elementary functions from the definition.
- Use the rules of the differential calculus of a function of a single real variable.
- Apply the differential calculus to the solution of nontrivial problems in Mathematics, the Arts, and Science.
- Demonstrate the relationship between an indefinite integral and an anti- derivative.
- Demonstrate the definite integral as a process of summation.
- Demonstrate an ability to use the fundamental properties of the integral to evaluate elementary integrals.
- Demonstrate an ability to solve nontrivial problems in Mathematics, Science, the Arts, and Engineering.