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May 10, 2024
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2022-2023 Catalog [ARCHIVED CATALOG]
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MATH 222 - Calculus for Technology II
PREREQUISITES: MATH 221 - Calculus for Technology I or MATH 211 - Calculus I
CREDIT HOURS MIN: 3
LECTURE HOURS MIN: 3
DATE OF LAST REVISION: Fall, 2020
Second course in a two-semester sequence in the techniques of calculus, with an emphasis on how they are applied to technology. Topics include the calculus of transcendental functions, techniques of integration, differential equations, infinite series, and applications of these concepts.
MAJOR COURSE LEARNING OBJECTIVES: Upon successful completion of this course the student will be expected to:
- Review trigonometric functions and their derivatives.
- Find and use derivatives of exponential and logarithmic functions.
- Use exponential and logarithmic functions in applications.
- Find integrals involving exponential and logarithmic forms.
- Find integrals involving trigonometric functions.
- Find integrals using integration by parts.
- Find integrals of rational functions by partial fraction decomposition.
- Examine infinite series for convergence, and find sums of sequences and series.
- Find Maclaurin series expansions of various functions.
- Do numerical computations with Maclaurin and Taylor series.
- Work with Fourier series.
- Solve first-order separable or linear differential equations.
- Solve higher-order differential equations, including homogeneous and nonhomogeneous equations.
- Use differential equations in applications.
- Find Laplace and inverse Laplace transforms, and use Laplace transforms to solve differential equations.
COURSE CONTENT: Topical areas of study include -
- Derivatives and integrals of exponential and logarithmic functions
- Advanced topics in integration
- Differential equations
- Infinite series
GRADING POLICY
| A |
90-100 |
| B |
80-89 |
| C |
70-79 |
| D |
60-69 |
| F |
0-59 |
Course Addendum - Syllabus (Click to expand)
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