Calculus II –

mth320

(4 credits)

This course examines integral calculus topics. Students are presented with integration techniques for functions of one variable and more applications of definite integrals. Students explore numerical techniques of integration. Students also examine the area function, Riemann sums and indefinite integrals, and apply these to real-life problems. The course concludes with the fundamental theorem of calculus.

This undergraduate-level course is 7 weeks. To enroll, speak with an Enrollment Advisor.

Topics and Objectives

Integration
- Use partial fractions to simplify integration of rational functions.
- Use integral tables to solve problems.
- Estimate integrals with the Trapezoidal rule and Simpson’s rule.
- Solve improper integrals.
Integration and Application of Integrals
- Describe the relationship between derivatives and integrals (Fundamental Theorem of Calculus).
- Solve indefinite integrals.
- Use integral calculus to determine volumes, lengths of plane curves, and surface areas.
- Integrate to find work and fluid forces.
- Calculate moments and centers of mass using integration.
- Use substitution to evaluate definite integrals.
- Use definite integrals to find the area between two curves.
Transcendental Functions
- Use L’Hopital’s rule to differentiate indeterminant rational functions.
- Differentiate inverse trigonometric functions and hyperbolic functions.
- Integrate inverse trigonometric functions and hyperbolic functions.
- Solve exponential rates of growth problems.
Graphing and applications
- Simplify an integration problem using integration by parts.
- Apply product, quotient, and chain rules to compute integrals of various functions.
- Integrate trigonometric functions.
- Integrate using substitution with rational and trigonometric functions.
Calculus II Concept Review
- Apply the concepts presented in this course.

The University of Phoenix reserves the right to modify courses.
While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Advisor.
Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.

Calculus II –

mth320

Integration

Integration and Application of Integrals

Transcendental Functions

Graphing and applications

Calculus II Concept Review

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