MAT 290 - Calculus I For Engineering and Science
Course Description: A review of functions including polynomial, rational, conic and trigonometric functions and their graphs; limits; continuity; derivatives of algebraic and transcendental functions, evaluating limits of indeterminate forms using L’Hopital’s Rule; implicit differentiation; related rates; the Mean Value Theorem; applications such as velocity and acceleration; curve sketching; optimization problems; and differentials; Newton’s Method and antiderivatives as time permits.
ISLOs: This course supports student development of Critical Thinking, Quantitative Literacy, and Personal and Professional Development.
Prerequisite(s): Placement above or completion of MAT 165 and MAT 195, both with a C or better.
General Education Elective(s): Math all programs
Note(s): A TI - 83+ or 84+ graphing calculator is required.
This course has been approved to meet the Core Curriculum General Education Requirement.
Course Student Learning Outcomes:
- Evaluate limits graphically, numerically, & analytically for a wide variety of functions.
- Evaluate derivatives analytically for the elementary functions, including inverse trigonometric functions and implicit functions.
- Apply derivatives to applications such as slope of a tangent line, velocity and acceleration, related rates, and optimization.
- Sketch and analyze functions and their graphs using the first and second derivative.
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