MATH 2B Single-Variable Calculus (2016-2017)

MATH 2B Single-Variable Calculus

(Required for AE, BME, BMEP, CE, CSE, ChE, CpE, EE, EnE, GE, ME and MSE.)
Catalog Data:

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)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0538497909.

Recommended Textbook:
None
References:

none

Coordinator:
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic

none

Lecture Topics:
  • 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
Class Schedule:

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

Computer Usage:

none

Laboratory Projects:
Professional Component

Contributes toward Mathematics and Basic Science.

Design Content Description
Approach:
Lectures: 0%
Laboratory Portion: 0%
Grading Criteria:
  • Homework: 10%
  • Quizzes: 10%
  • Midterms: 40% (20% each)
  • Final: 40%
  • Total: 100%
Estimated ABET Category Content:

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

Prepared:
July 12, 2016
Senate Approved:
May 19, 2013
Approved Effective:
2013 Winter Qtr