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MTH 252 - Calculus 2 (Integral Calculus) |
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Associated Term:
Spring 2023
Learning Objectives: Upon successful completion of this course, the student will be able to: 1. Estimate & calculate totals given information about rates of change 2. Understand the definite integral as a limit of Riemann sums 3. Interpret the meaning of and use correct notation for a definite integral 4. Compute definite integrals using the first fundamental theorem of calculus 5. Understand how the definite integral and the average value of a function are related 6. Use properties and theorems pertaining to integrals 7. Graphically and numerically construct antiderivatives 8. Work with elementary differential equations 9. Work with functions defined in terms of definite integrals with a variable limit(s) of integration and apply the second fundamental theorem of calculus to the analysis of these functions 10. Understand that the indefinite integral represents a family of antiderivative functions 11. Find definite & indefinite integrals using basic rules, the substitution method, integration by parts, and trigonometric substitution 12. Use the midpoint, trapezoid, and Simpson's rule to approximate definite integrals 13. Identify improper integrals that converge or diverge and compute their values where possible 14. Use the methods & techniques of integral calculus to solve a variety of application problems 15. Use a programmable graphing calculator as an effective tool in confirming analytical work and obtaining numerical and graphical results related to integral calculus Required Materials: Technical Requirements: |

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