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Add more math courses.
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ashayathalye committed Jul 5, 2024
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3 changes: 2 additions & 1 deletion docs/courses/mit/course-18.md
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Expand Up @@ -14,14 +14,15 @@ Fall/Spring classes:
- ✅ 18.01 [Calculus](/courses/mit/course-18/18-01/) (Fall 2006 - Fall 2010)
- ✅ 18.02 [Multivariable Calculus](/courses/mit/course-18/18-02/) (Fall 2007 - Fall 2021)
- ✅ 18.03 [Differential Equations](/courses/mit/course-18/18-03/) (Spring 2006 - Spring 2020)
- ✅ 18.04 [Complex Variables with Applications](/courses/mit/course-18/18-04/) (Fall 2023)
- ✅ 18.05: [Introduction to Probability and Statistics](/courses/mit/course-18/18-05/) (Fall 2022)
- ✅ 18.06: [Linear Algebra](https://web.mit.edu/18.06/www/) (Fall 2004 - Fall 2023)
- 🔄 18.700 [Linear Algebra](/courses/mit/course-18/18-700/) (Fall 2022), <span style="color:red">no solutions/exams</span>
- 🔄 18.701 [Algebra I](/courses/mit/course-18/18-701/) (Fall 2021), <span style="color:red">no exams</span>
- 🔄 18.702 [Algebra II](/courses/mit/course-18/18-702/) (Spring 2022), <span style="color:red">no solutions</span>
- ✅ 18.100A/B [Real Analysis](/courses/mit/course-18/18-100/) (Fall 2002 - Fall 2024)

- ✅ 18.901 [Introduction to Topology](https://math.mit.edu/~jhirsh/topology.html) (Spring 2016)

- ✅ 18.783: [Elliptic Curves](https://math.mit.edu/classes/18.783/2023/) (Fall 2023)
- 🔄 18.405 [Advanced Complexity Theory](/courses/mit/course-18/18-405/) (Spring 2024), <span style="color:red">no solutions</span>
- 🔄 18.435 [Quantum Computation](/courses/mit/course-18/18-435/) (Fall 2023), <span style="color:red">no recent homeworks/exams</span>
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1 change: 1 addition & 0 deletions docs/courses/mit/course-18/18-03.md
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Expand Up @@ -14,6 +14,7 @@ Also see the math department's [subject overview](https://math.mit.edu/academics
- Spring 2020 [class website](https://math.mit.edu/~dyatlov/18.03/#lectures) (homework, solutions, recitations)
- Spring 2018 [lecture notes](https://math.mit.edu/~poonen/notes03.pdf)
- In recent years the 18.03 curriculum has been modernized, in particular to incorporate more linear algebra.
- Fall 2018 [lecture notes](https://math.mit.edu/~dunkel/Teach/18.03/2018_CourseNotes.pdf)
- Fall 2011 [OCW](https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/) (homework, solutions, exams, [lecture videos](https://www.youtube.com/watch?v=76WdBlGpxVw&list=PL64BDFBDA2AF24F7E))
- Fall 2010 [OCW](https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/) (homework, solutions, exams)
- Fall 2009 (18.034) [OCW](https://ocw.mit.edu/courses/18-034-honors-differential-equations-spring-2009/) (homework, solutions, lecture notes)
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16 changes: 16 additions & 0 deletions docs/courses/mit/course-18/18-04.md
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---
layout: page
title: 18.04 Complex Variables with Applications
permalink: /courses/mit/course-18/18-04/
---

**Catalog description:**
\\
Complex algebra and functions; analyticity; contour integration, Cauchy's theorem; singularities, Taylor and Laurent series; residues, evaluation of integrals; multivalued functions, potential theory in two dimensions; Fourier analysis, Laplace transforms, and partial differential equations.

Also see the math department's [subject overview](https://math.mit.edu/academics/undergrad/subjects/180x.html) for introductory math courses.

### Resources:
- Fall 2023 [class website](https://math.mit.edu/classes/18.04/2023fa/index.html) (some homework, some solutions)
- Spring 2019 [lecture notes](https://math.mit.edu/~dunkel/Teach/18.04_2019S/notes/1804_Main.pdf)
- Spring 2018 [OCW](https://ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/) (homework, solutions, exams, lecture notes, recitation notes)
2 changes: 1 addition & 1 deletion docs/courses/mit/course-18/18-05.md
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**Catalog description:**
\\
Study of differential equations, including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series. Matrices, eigenvalues, eigenvectors, diagonalization. First order linear systems: normal modes, matrix exponentials, variation of parameters. Heat equation, wave equation. Nonlinear autonomous systems: critical point analysis, phase plane diagrams.
Elementary introduction with applications. Basic probability models. Combinatorics. Random variables. Discrete and continuous probability distributions. Statistical estimation and testing. Confidence intervals. Introduction to linear regression.

Also see the math department's [subject overview](https://math.mit.edu/academics/undergrad/subjects/180x.html) for introductory math courses.

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