# MATH 2B Single-Variable Calculus (2017-2018)

#### MATH 2B Single-Variable Calculus

**MATH 2B Single-Variable Calculus (Credit Units: 4)** Definite integrals; the Fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations. Prerequisite: MATH 2A. School of Physical Sciences, School of Engineering, and School of Information and Computer Sciences majors have first consideration for enrollment. . (Design units: 0)

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- Antiderivatives Review
- Areas and Distances
- Definite Integral
- Fundamental Theorem of Calculus
- Indefinite Integral and The Net Change Theorem
- The Substitution Rule
- Area Between Two Curves
- Volumes
- Average Value of a Function
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitutions
- Integration by Partial Fractions
- Strategy for Integration
- Improper Integrals
- Arc Length, Review Integration Techniques
- Sequences
- Series
- Integral test and estimates of sums
- Comparison test, alternating series test
- Absolute convergence
- Ratio test, Root test
- Power Series
- Representing functions as Power series
- Taylor series and Maclaurin series

Meets for 3 hours of lecture and 2 hours of discussion each week for 10 weeks.

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Contributes toward Mathematics and Basic Science.

- Homework: 10%
- Quizzes: 10%
- Midterms: 40% (20% each)
- Final: 40%
- Total: 100%

Mathematics and Basic Science: 4.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units