Course Details
Course Details

Course Details

Richard Bland College

MATH251: Calculus I

Topics include analytic geometry, limits and continuity of functions, derivatives and applications, anti-derivatives, applications of integration, transcendental functions, techniques of integration, elementary differential equations, improper integrals, sequences and series, power series, Taylor series, parametric equations, and polar coordinates. (Credit will not be given for both MATH 251 and MATH 200.)

Overview
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UCGS
UCGS Block V-Mathematics
The Uniform Certificate of General Studies (UCGS) is a 30-credit hour program where all courses shall be transf...see moreThe Uniform Certificate of General Studies (UCGS) is a 30-credit hour program where all courses shall be transferable and satisfy a lower-division general education requirement at any public institution of higher education. UCGS courses may satisfy a general education requirement without having a specific course equivalent at the receiving institution.
Passport
Passport Block V-Mathematics
The Passport is a 16-credit hour two-year college program in which all courses are transferable and shall satis...see moreThe Passport is a 16-credit hour two-year college program in which all courses are transferable and shall satisfy a lower-division general education requirement at any public institution of higher education. Passport courses may satisfy a general education requirement without having a specific course equivalent at the receiving institution.
Delivery Method
Online
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Delivery Method
Campus
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Delivery Method
Hybrid
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Credits
4.0
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Department
Natural Science and Mathematics
Course Notes
Continuous course. Four hours lecture. UCGS and Passport approved course, 2021.
Learning Objectives and Outcomes
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  • Find limits of functions, including using L’Hopital’s Rule for indeterminate forms and determine a function’s continuity.
  • Find the derivatives of basic functions using the definition of derivative, the derivatives of various functions (including polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic) using the rules of differentiation, and use
  • Find the equation of a line tangent to a curve at a given point and find linearizations and differentials of a function at a given point.
  • Solve applications of differentiation, including velocity and acceleration, related rates, maxima/minima problems (area, volume, cost, revenue, and profit), uninhibited growth and decay, absolute extrema of a function on a closed interval, relative extrema
  • Approximate the area under a graph using rectangles, evaluate Riemann sums to determine area under a curve, and evaluate indefinite and definite integrals using integration formulas and the substitution principle.
  • Use integration to find the area between two curves and solve problems of displacement, velocity, and acceleration.


Dual Enrollment
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Type
Transfer
Offered
High School
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Offered
College Campus
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Offered
Online
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Offered
Hybrid
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Starting Academic Year
2023
Where Will This Course Transfer?
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