| |
May 03, 2026
|
|
|
|
|
Undergraduate Catalog 2026-2027
|
MAT 161 Calculus I Credits: (4)
This is a first course in calculus for students in mathematics, science, computer science and engineering. Topics include basic analytic geometry, functions, limits and continuity, derivatives of algebraic and trigonometric functions, chain rule, implicit differentiation, antiderivatives, definite integrals, Fundamental Theorem, applications of derivatives and integrals. Graphing calculator use is required. Prerequisite(s): Four years of college-preparatory mathematics (including trigonometry) or a C or better in Precalculus with Trigonometry (MAT 143 ) or Mathematics for Technical Disciplines II (MAT 120 ) or permission of instructor.
SUNY Gen Ed Area(s): Mathematics
Designation(s): Liberal Arts
Learning Outcomes
- Apply the properties of limits to evaluating limits, determining vertical and horizontal asymptotes, and limits at infinity.
- State the definition of continuity and determine the values of the domain at which a function is discontinuous.
- State the Intermediate Value Theorem, Extreme Value Theorem, Rolle’s Theorem and the Mean Value Theorem, and demonstrate understanding of each by solving simple problems.
- Relate both implicit and explicit differentiation to a variety of application problems.
- Apply integration techniques including substitution, definite, and indefinite integrals to a variety of application problems.
|
|
