MAT 271 Calculus I

Lecture: 3 Lab: 2 Clinic: 0 Credits: 4

This course is designed to develop the topics of differential and integral calculus. Emphasis is placed on limits, continuity, derivatives and integrals of algebraic and transcendental functions of one variable. Upon completion, students should be able to select and use appropriate models and techniques for finding solutions to derivative-related problems with and without technology.

This course has been approved for transfer under the CAA as a general education course in Mathematics. This is a Universal General Education Transfer Component (UGETC) course.

Pre-requisite(s): C or better in MAT 172 or MAT 175

A student may place directly into MAT 271 if the student has met at least one (1) of the following criteria within the past five (5) years:

A score of 2 or higher on the AP Calculus AB Exam.
A grade of C or higher in an AP Calculus course and an unweighted HS GPA of 3.0 or higher.
A score of 90 or higher on the ACCUPLACER College-Level Math (CLM) test.
A score of 46 or higher on the trigonometry section of the ACT Compass Math Placement Test.
A score of 580 or higher on the old (prior to March 2016) SAT Math and a grade of C or higher in the North Carolina Standard Course of Study Pre-Calculus course or an equivalent course from another state.
A score of 600 or higher on the new (March 2016 and beyond) SAT Math and a grade of C or higher in the North Carolina Standard Course of Study Pre-Calculus course or an equivalent course from another state.
A score of 27 or higher on the ACT Math and a grade of C or higher in the North Carolina Standard Course of Study Pre-Calculus course or an equivalent course from another state.
A score of 560 or higher on the SAT Subject Test in Mathematics Level 2.

Course is typically offered in Fall, Spring, and Summer.
Course has transfer restrictions - 20 years

Student Learning Outcomes (SLOs)
At the completion of the course, the students should be able to do the following:

Apply the definition of limit to evaluate limits by multiple methods and use it to derive the definition and rules for differentiation and integration.
Use derivatives to analyze and graph algebraic and transcendental functions.
Select and apply appropriate models and differentiation techniques to solve problems involving algebraic and transcendental functions; these problems will include but are not limited to applications involving optimization and related rates.
Apply the definition of indefinite integral to solve basic differential equations.
Apply the definition of definite integral to evaluate basic integrals.
Use the fundamental theorem of calculus to evaluate integrals involving algebraic and transcendental functions.