Difference between revisions of "MATH 1554"

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<nowiki>*</nowiki> Topic not covered in [[MATH 1553]]
 
<nowiki>*</nowiki> Topic not covered in [[MATH 1553]]
   
== Workload ==
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== Class Structure ==
Content in MATH 1554 is typically assessed through homework, quizzes, and exams. These tend to have a mix of questions on theory, often given as true/false questions, and computation. While the course requires no formal proofs, the theoretical nature of MATH 1554 can be challenging for first-year students. Homework may not be very time-consuming, but questions often involve a bit of thinking.
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MATH 1554 is a core math class with a focus on theory. However, MATH 1554 does ''not'' use formal proofs, and it still does have many computational problems. The theoretical nature of MATH 1554 can be challenging for first-year students who are used to more computation-heavy algebra and calculus courses.
 
== Prerequisite Knowledge==
 
== Prerequisite Knowledge==
 
Almost no prerequisite knowledge is required, apart from algebra and trigonometry.
 
Almost no prerequisite knowledge is required, apart from algebra and trigonometry.
  +
==Scheduling==
== Equivalent Courses ==
 
 
MATH 2551 is required for math and [[cs]] majors. Due to having almost no prerequisites, MATH 1554 is generally taken during freshmen year. Future calculus classes, such as [[Multivariable Calculus|multivariable calculus]] and [[Differential Equations|differential equations]] will use linear algebra concepts such as matrices, determinants, and eigenvalues. In addition, linear algebra is especially important for cs majors, who take many classes that require linear algebra, such as [[MATH 3012]] and [[CS 3510]].
  +
 
=== Equivalent Courses ===
 
*MATH 1553 is the introduction equivalent, which does not cover as many topics as MATH 1554.
 
*MATH 1553 is the introduction equivalent, which does not cover as many topics as MATH 1554.
 
*[[MATH 1564]] is the honors equivalent, which uses proofs and is more theoretical than MATH 1554.
 
*[[MATH 1564]] is the honors equivalent, which uses proofs and is more theoretical than MATH 1554.
==Future Outlook==
 
MATH 1554 is generally taken by freshmen due to it having almost no prerequisites. However, future calculus classes, such as [[MATH 2550]], [[MATH 2551]], and [[MATH 2552]] will use linear algebra concepts such as matrices, determinants, and eigenvalues. In addition, linear algebra is important for [[Computer Science|computer science]] majors, who have to take classes that require linear algebra, such as [[MATH 3012]] and [[CS 3510]].
 
== Registration ==
 
MATH 1554 is a [[Linked Course|linked course]] with a [[studio]].
 
 
 
== Resources ==
 
== Resources ==
 
* https://gatech.instructure.com/courses/114544 provides a set of videos and old exams for MATH 1554.
 
* https://gatech.instructure.com/courses/114544 provides a set of videos and old exams for MATH 1554.

Revision as of 14:16, 16 November 2021


MATH 1554 is a 4 credit core math class in linear algebra.

Topic List

  • Linear Systems and Transformations
    • Systems of Linear Equations
    • Row Reduction and Echelon Forms
    • Vector Equations
    • The Matrix Equation
    • Solution Sets of Linear Systems
    • Linear Independence
    • Linear Transforms
  • Matrices and the Matrix Inverse
    • Matrix Operations
    • Matrix Inverse
    • Invertible Matrix Theorem
    • Partitioned Matrices*
    • LU Factorization
    • Leontief Input-Output Model*
    • Computer Graphics*
    • Subspaces
    • Dimension and Rank
  • Determinants and Eigenvalues
    • Determinants
    • Volume and Linear Transforms*
    • Markov Chains*
    • Eigenvalues and Eigenvectors
    • Characteristic Equation
    • Diagonalization
    • Complex Eigenvalues*
    • Google PageRank*
  • Orthogonality
    • Inner Products
    • Orthogonal Sets
    • Orthogonal Projections
    • The Gram-Schmidt Process
    • Least-Squares
  • Symmetric Matrices, Quadratic Forms, and SVD
    • Symmetric Matrices
    • Quadratic Forms
    • Constrained Optimization*
    • Singular Value Decomposition (SVD)*

* Topic not covered in MATH 1553

Class Structure

MATH 1554 is a core math class with a focus on theory. However, MATH 1554 does not use formal proofs, and it still does have many computational problems. The theoretical nature of MATH 1554 can be challenging for first-year students who are used to more computation-heavy algebra and calculus courses.

Prerequisite Knowledge

Almost no prerequisite knowledge is required, apart from algebra and trigonometry.

Scheduling

MATH 2551 is required for math and cs majors. Due to having almost no prerequisites, MATH 1554 is generally taken during freshmen year. Future calculus classes, such as multivariable calculus and differential equations will use linear algebra concepts such as matrices, determinants, and eigenvalues. In addition, linear algebra is especially important for cs majors, who take many classes that require linear algebra, such as MATH 3012 and CS 3510.

Equivalent Courses

  • MATH 1553 is the introduction equivalent, which does not cover as many topics as MATH 1554.
  • MATH 1564 is the honors equivalent, which uses proofs and is more theoretical than MATH 1554.

Resources