# MATH 2J Infinite Series and Basic Linear Algebra (2013-2014)

#### MATH 2J Infinite Series and Basic Linear Algebra

**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)

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

- 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

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

Contributes toward Mathematics and Basic Science.

- Homework and Quizzes: 40%
- Midterm: 30%
- Final: 30%
- 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