MTH 251 - Calculus 1 (Differential Calculus) |

Prerequisite: MTH 112 completed with a grade of “C-“ or better within the past five years or placement by the College's Math Placement Process. MTH 251 is a first-term calculus course that includes a selective review of precalculus followed by development of the derivative from the perspective of rates of change, slopes of tangent lines, and numerical and graphical limits of difference quotients. The limit of the difference quotient is used as a basis for formulating analytical methods that include the power, product, and quotient rules. The chain rule and the technique of implicit differentiation are developed. Procedures for differentiating polynomial, exponential, logarithmic, and trigonometric functions are formulated. Analytical, graphical, and numerical methods are used to support one another in developing the course material. Opportunities are provided for students to work in groups, verbalize concepts with one another, and explore concepts and applications using technology.
5.000 Credit hours 50.000 TO 60.000 Lecture hours Syllabus Available Levels: Credit Schedule Types: Lecture Mathematics Division Mathematics Department Course Attributes: Tuition, Science/Math/Computer Science |