MATH 18Linear Algebra
Matrix algebra, Gaussian elimination, determinants. Linear and affine subspaces, bases of Euclidean spaces. Eigenvalues and eigenvectors, quadratic forms, orthogonal matrices, diagonalization of symmetric matrices. Applications. Computing symbolic and graphical solutions using MATLAB. Students may not receive credit for both MATH 18 and 31AH.
Prerequisites
From the catalog: “Math Placement Exam qualifying score, or AP Calculus AB score of 3 (or equivalent AB subscore on BC exam), or MATH 4C, or MATH 10A, or MATH 20A. Students who have not completed listed prerequisites may enroll with consent of instructor.”
Where it sits in degree plans
Suggested plans most often put it in Year 2 · Fall (25 programs).
Required in (27)
- Aerospace Engineering (B.S.)
- Artificial Intelligence
- Astronomy and Astrophysics
- Astrophysical Sciences
- Bioengineering (B.S.)
- Bioengineering: BioSystems (B.S.)
- Bioengineering: Bioinformatics (B.S.)
- Bioengineering: Biotechnology (B.S.)
- Biology with a Specialization in Bioinformatics (B.S.)
- Chemistry (B.S.)
- Computer Engineering
- Computer Engineering (B.S.)
- and 15 more
One of the options in (5)
- Business Psychology (B.S.)
- Clinical Psychology (B.S.)
- Cognitive Science (B.A.)
- Interdisciplinary Computing and the Arts (VA29)
- Mathematics (Applied) (B.S.)
Courses that list MATH 18 as a prerequisite (76)
- ASTR 101 Astrophysical Dynamics
- BENG 100 Introduction to Probability and Statistics for Bioengineers
- BENG 110 Musculoskeletal Biomechanics
- BENG 123 Dynamic Simulation in Bioengineering
- BENG 133 Numerical Analysis and Computational Engineering
- BENG 134 Measurements, Statistics, and Probability
- CENG 114 Probability and Statistical Methods for Engineers
- COGS 109 Modeling and Data Analysis
- COGS 118A Supervised Machine Learning Algorithms
- COGS 118B Introduction to Machine Learning
- COGS 118C Neural Signal Processing
- COGS 118D Computational Modeling and Analysis of Human Behavior
- COGS 181 Neural Networks and Deep Learning
- COGS 182 Introduction to Reinforcement Learning
- CSE 106 Discrete and Continuous Optimization
- CSE 150A Introduction to Artificial Intelligence: Probabilistic Reasoning and Decision-Making
- CSE 151A Machine Learning: Learning Algorithms
- CSE 152A Introduction to Computer Vision I
- CSE 166 Image Processing
- CSE 55 Foundations of Artificial Intelligence and Machine Learning
- DSC 120 Signal Processing for Data Analysis
- DSC 123A Optimization Methods for Data Science I
- DSC 155 Hidden Data in Random Matrices
- DSC 40A Theoretical Foundations of Data Science I
- DSC 97 Internship in Data Science
- DSC 98 Directed Group Study in Data Science
- DSC 99 Independent Study in Data Science
- ECE 174 Introduction to Linear and Nonlinear Optimization with Applications
- ECE 176 Introduction to Deep Learning and Applications
- ECE 35 Introduction to Analog Design
- ECON 113 Mathematical Economics
- ECON 122 Econometric Theory
- ECON 172A Operations Research A
- ECON 173A Financial Markets
- MAE 107 Computational Methods in Engineering
- MAE 108 Probability and Statistical Methods for Engineering
- MAE 130 Advanced Vibrations
- MAE 143A Signals and Systems
- MAE 146 Introduction to Machine Learning Algorithms
- MAE 40 Linear Circuits
- MATH 102 Applied Linear Algebra
- MATH 109 Mathematical Reasoning
- MATH 110 Introduction to Partial Differential Equations
- MATH 111A Mathematical Modeling I
- MATH 112A Introduction to Mathematical Biology I
- MATH 130 Differential Equations and Dynamical Systems
- MATH 150A Differential Geometry
- MATH 152 Applicable Mathematics and Computing
- MATH 155A Geometric Computer Graphics
- MATH 157 Introduction to Mathematical Software
- MATH 168A Topics in Applied Mathematics—Computer Science
- MATH 170A Introduction to Numerical Analysis: Linear Algebra
- MATH 171A Introduction to Numerical Optimization: Linear Programming
- MATH 173A Optimization Methods for Data Science I
- MATH 180B Introduction to Stochastic Processes I
- MATH 181A Introduction to Mathematical Statistics I
- MATH 182 Hidden Data in Random Matrices
- MATH 185 Introduction to Computational Statistics
- MATH 187B Mathematics of Modern Cryptography
- MATH 188 Algebraic Combinatorics
- MATH 189 Exploratory Data Analysis and Inference
- MATH 194 The Mathematics of Finance
- MATH 20D Introduction to Differential Equations
- MATH 20E Vector Calculus
- MGT 151R Business Analytics
- MGT 153 Information Technology in Business Analytics
- MGT 160 Experiments in Firms
- NANO 106 Crystallography of Materials
- NANO 114 Probability and Statistical Methods for Engineers
- PHYS 100A Electromagnetism I
- PHYS 100B Electromagnetism II
- SE 101C Mechanics III: Vibrations
- SE 125 Statistics, Probability and Reliability
- SE 130B Structural Analysis II
- SIO 175 Analysis of Oceanic and Atmospheric Data
- SIO 178 Geophysical Fluid Dynamics