MATH 2J Infinite Series and Basic Linear Algebra (2014-2015)

MATH 2J Infinite Series and Basic Linear Algebra

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

MATH 2J Infinite Series and Basic Linear Algebra (Credit Units: 4) Systems of linear equations: matrix operations; determinants; eigenvalues, and eigenvectors. Infinite sequences and series. Complex numbers. Prerequisite: MATH 2A and MATH 2B. (Design units: 0)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0136009290.

Recommended Textbook:
None
References:

Additional required text: "Calculus or Multivariable Calculus" by James Stewart, 6th edition, UCI custom edition, ISBN 978-1111023096.

Coordinator:
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic
Lecture Topics:
  • Systems of Linear Equations
  • Row Echelon Form
  • Matrix Arithmetic
  • Matrix Algebra
  • Elementary Matrices
  • Determinant of a matrix
  • Properties of Determinants
  • Cramer’s Rule, Linear Independence
  • Eigenvalues & Eigenvectors
  • Diagonalization
  • Sequences
  • Series
  • Integral test
  • Comparison tests
  • Alternating series
  • Absolute convergence, Ratio and Root tests
  • Strategy for testing series
  • Power series
  • Representations of functions as power series
  • Taylor and MacLaurin series
  • Applications of Taylor polynomials
Class Schedule:

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

Computer Usage:
Laboratory Projects:
Professional Component

Contributes toward Mathematics and Basic Science.

Design Content Description
Approach:
Lectures: 0%
Laboratory Portion: 0%
Grading Criteria:
  • Homework and Quizzes: 40%
  • Midterm: 30%
  • Final: 30%
  • 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:
April 15, 2014
Senate Approved:
February 12, 2004
Approved Effective:
2004 Fall Qtr