Difference between revisions of "MATH 1554"

From Georgia Tech Student Wiki
(→‎Equivalent Courses: MATH 1553 is not an equivalent course)
(Added topic list and prereq list.)
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[https://math.gatech.edu/courses/math/1554 Course page]
  
[https://math.gatech.edu/courses/math/1554 Course page]
   
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'''Topic List'''
⚫
MATH 1554 is basically just [[MATH 1553 - Introduction to Linear Algebra|MATH 1553]] but with an extra couple chapters.
  
  +
  ⚫
MATH 1554 is basically just [[MATH 1553 - Introduction to Linear Algebra|MATH 1553]] but with an extra set of chapters (denoted with a *).
  +
  +
# Systems of Linear Equations
  +
# Vectors in Rn
  +
# Linear Independence and Transformations
  +
# Matrix Algebra
  +
# Subspaces in Rn
  +
# Determinants
  +
# Markov Chains (*)
  +
# Eigenvalues and Eigenvectors
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# Complex Eigenvalues (*)
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# PageRank (*)
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# Orthogonality
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# Symmetric Matrices
  +
# Quadratic Forms (*)
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# Singular Value Decomposition (*)
   
 
==== How it fits in the curriculum ====
  
==== How it fits in the curriculum ====
−
Linear Algebra doesn't use any calculus, making it different from intro courses such as MATH 1551 and MATH 1552.
+
Linear Algebra doesn't use any calculus, making it different from intro courses such as MATH 1551 and MATH 1552. This does mean that you can take MATH 1554 without any calculus credit.
   
−
However, future calculus classes like Multivariable Calculus (MATH 2550/2551) and Differential Equations (MATH 2552) will use Linear Algebra concepts such as matrices, determinants, characteristic equations, etc. Additionally, Linear Algebra is important for CS math classes such as Applied Combinatorics (MATH 3012) and Algorithms (CS 3510)
 +
However, future calculus classes like Multivariable Calculus (MATH 2550/2551) and Differential Equations (MATH 2552) will use Linear Algebra concepts such as matrices, determinants, eigenvalues, characteristic equations, etc. Additionally, Linear Algebra is important for math classes required for CS such as Applied Combinatorics (MATH 3012) and Algorithms (CS 3510)
   
 
== Current Registration Info ==
  
== Current Registration Info ==
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This is a [[linked course]]. You must register for a lecture section ''and'' a corresponding studio section with the same letter.
 +
This is a [[linked course]]. You must register for a lecture section (e.g. A, B, C) ''and'' a corresponding studio section with the same letter (e.g. lecture section A will have studio section A01, A02, etc.).
   
 
For the lecture sections, notice how they all include one time-block very late in the day. This is likely the [[test period]], which will only meet a few times per semester. [TODO some1 confirm]
  
For the lecture sections, notice how they all include one time-block very late in the day. This is likely the [[test period]], which will only meet a few times per semester. [TODO some1 confirm]
   
−
If you enjoy math theory and proofs, consider MATH 1564
+
If you enjoy theoretical math and proofs a lot, and consider yourself very good at math, consider MATH 1564.
   
 
=== Prerequisites ===
  
=== Prerequisites ===
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At least one of the following:
−
MATH 1552
  
  +
  +
* D or higher in MATH 1113 (Precalculus).
  +
* D or higher in MATH 1552 (Integral Calculus) or equivalent.
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* 620 or higher on the Math section of the SAT
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* 26 or higher on the Math section of the ACT.
   
 
=== Equivalent Courses ===
  
=== Equivalent Courses ===
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=== Majors That Require This Class ===
  
=== Majors That Require This Class ===
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⚫
Computer Science
  
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* Applied Physics
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* Computational Media
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* Computer Engineering
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* Computer Science
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* Earth and Atmospheric Sciences
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* Electrical Engineering
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* Mathematics
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* Physics
   
 
== Resources ==
  
== Resources ==
 
[https://textbooks.math.gatech.edu/ila/1553/ <nowiki>Interactive Linear Algebra [1553]</nowiki>]
  
[https://textbooks.math.gatech.edu/ila/1553/ <nowiki>Interactive Linear Algebra [1553]</nowiki>]
   
−
A free online, interactive textbook made by Georgia Tech professors. It's for MATH 1553, but it covers most of the concepts for MATH 1554
 +
A free online, interactive textbook made by Georgia Tech professors. It's for MATH 1553, but it covers most of the concepts for MATH 1554.
   
 
[https://www.3blue1brown.com/essence-of-linear-algebra-page 3blue1brown Essence of Linear Algebra Video Series]
  
[https://www.3blue1brown.com/essence-of-linear-algebra-page 3blue1brown Essence of Linear Algebra Video Series]

Revision as of 15:26, 19 May 2021

Overview

Course page

Topic List

MATH 1554 is basically just MATH 1553 but with an extra set of chapters (denoted with a *).

  1. Systems of Linear Equations
  2. Vectors in Rn
  3. Linear Independence and Transformations
  4. Matrix Algebra
  5. Subspaces in Rn
  6. Determinants
  7. Markov Chains (*)
  8. Eigenvalues and Eigenvectors
  9. Complex Eigenvalues (*)
  10. PageRank (*)
  11. Orthogonality
  12. Symmetric Matrices
  13. Quadratic Forms (*)
  14. Singular Value Decomposition (*)

How it fits in the curriculum

Linear Algebra doesn't use any calculus, making it different from intro courses such as MATH 1551 and MATH 1552. This does mean that you can take MATH 1554 without any calculus credit.

However, future calculus classes like Multivariable Calculus (MATH 2550/2551) and Differential Equations (MATH 2552) will use Linear Algebra concepts such as matrices, determinants, eigenvalues, characteristic equations, etc. Additionally, Linear Algebra is important for math classes required for CS such as Applied Combinatorics (MATH 3012) and Algorithms (CS 3510)

Current Registration Info

This is a linked course. You must register for a lecture section (e.g. A, B, C) and a corresponding studio section with the same letter (e.g. lecture section A will have studio section A01, A02, etc.).

For the lecture sections, notice how they all include one time-block very late in the day. This is likely the test period, which will only meet a few times per semester. [TODO some1 confirm]

If you enjoy theoretical math and proofs a lot, and consider yourself very good at math, consider MATH 1564.

Prerequisites

At least one of the following:

  • D or higher in MATH 1113 (Precalculus).
  • D or higher in MATH 1552 (Integral Calculus) or equivalent.
  • 620 or higher on the Math section of the SAT
  • 26 or higher on the Math section of the ACT.

Equivalent Courses

MATH 1564

Majors That Require This Class

  • Applied Physics
  • Computational Media
  • Computer Engineering
  • Computer Science
  • Earth and Atmospheric Sciences
  • Electrical Engineering
  • Mathematics
  • Physics

Resources

Interactive Linear Algebra [1553]

A free online, interactive textbook made by Georgia Tech professors. It's for MATH 1553, but it covers most of the concepts for MATH 1554.

3blue1brown Essence of Linear Algebra Video Series

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