MATH 100: Calculus I is a course designed to provide students with the background in calculus needed for further studies. This course includes a review of functions and graphs; limits; the derivative of algebraic, trigonometric, exponential and logarithmic functions; applications of the derivative including related rates, maxima, minima, velocity and acceleration; the definite integral; an introduction to elementary differential equations; and applications of integration including velocity, acceleration, areas, and growth and decay problems.
Prerequisites: Pre-Calculus 12 with a C+ or better. Principles of Math 12/Math 110 or equivalent.
Accessibility Services Notice
standard statementCourse Details| Total number of weeks | 15 |
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| Total Credits | |
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| Total Hours | 75 |
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Typical hours per week breakdown| Lecture | 3 |
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| Lab (lab, field, computer) | 2 |
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Outcomes
Upon successful completion of this course, the learner will be able to:
- calculate limits algebraically, using tables of values and L’Hôpital’s rule;
- calculate derivatives and integrals using their definitions;
- apply the rules of derivatives (e.g. chain, product, quotient) to calculate more complicated derivatives;
- solve problems such as optimization, related rates, and linear approximations using calculus;
- create a graph of a function using derivatives;
- apply the Fundamental Theorem of Calculus and the substitution rule to solve integration problems;
- determine the inverse of a given function and calculate derivatives of inverse functions; and
- recognize and solve separable differential equations.
Grading Table
Academic and Career
See the Academic Calendar for General Information including how to withdraw from course(s) and other regulations.
Disclaimer
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