MAT 160 - Applied Calculus I
Designed for students in the Engineering Technologies only, this course covers the mechanics of calculus using application problems from technology fields. Topics include: equations of tangent lines; limits; differentiation and integration of algebraic, logarithmic, exponential, and trigonometric functions; product rule, quotient rule, and chain rule; implicit differentiation; related rates; maxima and minima; differentials; the definite integral and applications to finding area, center of gravity, volume of revolution and work done; numerical integration.
Prerequisite: MAT 130 Applied Algebra and Trigonometry or equivalent
4 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
- Determine limits and continutity of functions using computational and technological methods.
- Differentiate polynomial, rational, trigonometric, logarithmic, exponential functions using computational, intuitive and technological methods.
- Integrate polynomial, rational, trigonometric, logarithmic, exponential functions using computational, intuitive and technological methods.
- Solve applications of differentiation and integration.
This course prepares students to meet the Mathematics General Education requirement.
In the context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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