Mathematical Methods For Engineers I (AM 10)


Course Description: AM 10 provides an introduction to linear algebra and its applications. In addition, students will learn to use computational software (MATLAB/OCTAVE) and the basics of numerical linear algebra.

Instructor: Prof. Daniele Venturi (

Teaching Assistants: 

  • Long Lu,
  • Joseph Moore,
  • Poonam Deshpande,
  • Shashank Gandhi,

Main Lectures: Tu/Th 9:50AM-11:25AM, (Remote instruction)  

Section: Wednesday 5:20PM-6:55PM Jack Baskin Auditorium (BE-101)



Group tutoring section: Friday 4:00PM-5:05PM (Remote instruction) held by Long Lu

Office Hours: 

  • Daniele Venturi (remote), Wednesday 11AM-12PM
  • Joseph Moore BE 312 C/D (in person), Friday 2PM-4PM
  • Poonam Deshpande, BE 312 C/D (in person), Thursday 3:30PM-5:30PM
  • Shashank Gandhi BE 312 C/D (in person), Monday 11:30AM-1:30PM

Homework Assignments, Grading Policy and Exams: See CANVAS course webpage. 


Course Syllabus:  

  • Week 1: Real numbers and introduction to complex numbers
  • Week 2: Complex numbers, algebraic and polar form, De Moivre formula, complex exponential function, nth root of a complex number, quadratic quations and polynomial equations in the complex plane.
  • Week 3:  Homogeneous linear equations, matrices, row operations and Gauss elimination, linear combination.
  • Week 4:  Matrix algebra, multiplication and addition, matrices associated with linear systems, LU factorization.
  • Week 5: Vector spaces, linear combinations, linear independendence, dimension, matrix rank.
  • Week 6: Linear Maps, kernel and image of a linear map, matrix associated with a linear map, change of bases.
  • Week 7: Scalar products, orthogonal bases, bilinear maps and matrices.
  • Week 8: Determinants, Cramer's rule, inverse of a matrix.
  • Week 9: Eigenvalues and eigenvectors, characteristic polynomial, geometric and algebraic multiplicity of eigenvalues.
  • Week 10: Similarity transformations, diagonalization.



  • Serge Lang, ``Introduction to linear algebra'', Springer  (free download from campus network) 


  • Thomas Shores, ``Applied Linear Algebra and Matrix Analysis'', Springer (free download from campus network)


  • Serge Lang, ``Llinear algebra'', Springer (free download from campus network)