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 aminimum of 60%. Principles of Math 12/Math 110 or equivalent.
Corequisite: None
Crosslisted: None
Accessibility Services Notice
Students who would like an academic accommodation and who have a documented disability should contact Accessibility Services, if they have not already done so.Course Details| Total number of weeks | 15 |
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| Total Credits | 3.00 |
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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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Learning 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
| Percentage |
Letter Grade |
GPA |
| 90-100 |
A+ |
4.33 |
| 85-89 |
A |
4.00 |
| 80-84 |
A- |
3.67 |
| 76-79 |
B+ |
3.33 |
| 72-75 |
B |
3.00 |
| 68-71 |
B- |
2.67 |
| 64-67 |
C+ |
2.33 |
| 60-63 |
C |
2.00 |
| 55-59 |
C- |
1.67 |
| 50-54 |
P |
1.00 |
| 0-49 |
F |
0.00 |
| |
DNW |
0.00 |
See the Academic Calendar for General Information including how to withdraw from course(s) and other regulations.
Disclaimer
Information contained in this course outline is correct at the time of publication. Content of the course is revised on an ongoing basis to ensure relevance to changing educational, employment and market needs. The instructor will endeavor to provide notice of changes to students as soon as possible. The instructor reserves the right to add or delete material from courses.