Mathematics (BS): Applied and Computational Mathematics Emphasis

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MathematicsBachelorsBS

Program Information

Minimum Credit Hours

Maximum Credit Hours

Major Academic Plan

Learning Outcomes

Title

Effective Reasoning and Communication

Learning Outcome

Explain and criticize mathematical reasoning through speaking and writing in a precise and articulate manner.

Title

Mathematics Fundamentals

Learning Outcome

Demonstrate basic mathematical understanding and computational skills in calculus, linear algebra, and differential equations, and advanced calculus.

Title

Statistics

Learning Outcome

Demonstrate a knowledge of inference, estimation, regression, multivariable statistics, Bayesian statistics, time-series analysis, and state-space modeling.

Title

Advanced Applied Mathematics

Learning Outcome

Demonstrate understanding of linear and nonlinear analysis, the analysis of algorithms, combinatorics, asymptotic methods, approximation theory, transform theory, optimization, dynamic programming, probability theory, stochastic processes, differential equations, dynamical systems and optimal control theory.

Title

Computing

Learning Outcome

Demonstrate facility in computer programming, data processing, databases, numerical simulation, scientific visualization, and virtual experimentation. Write, compile and execute numerical algorithms in a low-level language, such as C/C++, as well as develop I/O wrappers for standard numerical libraries in a common scripting language, such as Python. Demonstrate the ability to use the technologies for parallel and distributed computing.

Program Requirements

Requirement 1 — Complete 9 Courses

Complete the following pre-core requirements before junior year:

course - Intro to Computer Science 3.0

course - Calculus 1 4.0

course - Calculus 2 4.0

course - Elementary Linear Algebra 2.0

course - Computational Linear Algebra 1.0

course - Fundamentals of Mathematics 3.0

course - Calculus of Several Variables 3.0

course - Ordinary Differential Equation 3.0

course - Theory of Analysis 1 3.0

Requirement 2 — Complete 4 Courses

Complete the following core requirements first semester of junior year:

course - Algorithm Design & Opt 1 3.0

course - Algorithm Design & Opt 1 Lab 1.0

course - Mathematical Analysis 1 3.0

course - Mathematical Analysis 1 Lab 1.0

Requirement 3 — Complete 4 Courses

Complete the following core requirements second semester of junior year:

course - Algorithm Design & Opt 2 3.0

course - Algorithm Design & Opt 2 Lab 1.0

course - Mathematical Analysis 2 3.0

course - Mathematical Analysis 2 Lab 1.0

Requirement 4 — Complete 4 Courses

Complete the following core requirements first semester of senior year:

course - Model Uncertainty & Data 1 3.0

course - Model Uncertainty & Data 1 Lab 1.0

course - Model Dynamics & Control 1 3.0

course - Model Dynamics & Control 1 Lab 1.0

Completion of an internship in the summer term between the junior and senior years is strongly recommended.

Requirement 5 — Complete 4 Courses

Complete the following core requirements second semester of senior year:

course - Model Uncertainty & Data 2 3.0

course - Model Uncertainty & Data 2 Lab 1.0

course - Model Dynamics & Control 2 3.0

course - Model Dynamics & Control 2 Lab 1.0

Requirement 6 — Obtain confirmation from your advisement center that you have completed the following:

Students are required to complete a concentration (at least 12 credit hours) in an area to which the mathematical and computational tools that they are learning can be applied. The list of the Approved Concentrations is found at https://acme.byu.edu/concentrations-in-acme

Requirement 7 — Obtain confirmation from your advisement center that you have completed the following:

Students are required to take either the GRE Mathematics Subject Test or the Mathematics Major Field Test the last semester before they graduate. The results of these tests do not appear on the transcript or affect the GPA. For more information contact the math department.