Universidad Técnica Federico Santa María

Civil Mathematical Engineering


The Civil Mathematical Engineer of the USM is a professional with a general and comprehensive training, with extensive knowledge in mathematics, engineering and basic sciences, which allow him/her to successfully face, under a systemic approach, the resolution of engineering and mathematical problems that require analytical skills and logical thinking. His/her training enables him/her to develop innovative applications and solutions in his specialty and related areas.

  • Professional Degree: I Civil Mathematical Engineer
  • Academic Degree: Bachelor of Science in Engineering Sciences and Bachelor of Science in Mathematical Engineering
  • Duration: 6 years (12 academic semesters)
  • Study regime: Daytime
  • Location: Main Campus, Valparaiso and San Joaquin Campus
  • Visit the website of the Mathematics Department


1st Semester
  • Introduction to Engineering
  • Programming
  • Introduction to Physics
  • Humanistic Course I
  • Mathematics I
  • Physical Education I
2nd Semester
  • General Physics I
  • Humanistic Course II
  • Mathematics II
  • Physical Education II
  • Chemistry and Society
  • English Language l
3rd Semester
  • General Physics II
  • Data Structure and Algorithms
  • Mathematics III
  • English Language II
  • Linear Algebra
4th Semester
  • General Physics III
  • Probabilities and Statistics
  • Mathematics IV
  • English Language III
  • Introduction to Advanced Mathematics
5th Semester
  • General Physics IV
  • Algebraic Structures
  • Analysis I
  • English Language IV
  • Numerical Analysis I
6th Semester
  • Analysis II
  • Fundamentals of Operations Research
  • Ordinary Differential Equations
  • Modeling Laboratory I
  • Complex Variables
7th Semester
  • Numerical Analysis II
  • Theory of Probabilities and Stochastic Processes
  • Engineering Elective Course I
  • Analysis III
  • Management Elective Course I
8th Semester
  • Applications of Mathematics in Engineering
  • Partial Differential Equations
  • Statistical Inference
  • Engineering Elective Course II
  • Non-Linear Optimization
9th Semester
  • Discrete Mathematics
  • Engineering Elective Course III
  •  Optimization and Control
  • Management Elective Course II
  • Numerical Analysis of Partial Differential Equations
10th Semester
  • Engineering Elective Course IV
  • Management Elective Course III
  • Engineering Elective Course V
  • Humanistic Course III
  • Engineering Project Elective Course
11th Semester
  • Engineering Elective Course VI
  • Management Elective Course IV
  • Modeling Laboratory II
  • Complementary Training Elective I
  • Degree Project
12th Semester
  • Complementary Training Elective II
  • Degree Project
  • In addition, the Department offers:

    • l. Master’s degree in Science, major in Mathematics
    • 2. Doctorate in Mathematics
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