Syllabus Information |
Summer 2022
Dec 21,2024 |
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| MTH 252 - Calculus 2 (Integral Calculus) |
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Associated Term:
Summer 2022
Learning Objectives: Upon successful completion of this course, the student should 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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