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Add 18.102 and 18.112.
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ashayathalye committed Jul 9, 2024
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8 changes: 5 additions & 3 deletions docs/courses/mit/course-18.md
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Expand Up @@ -12,18 +12,20 @@ IAP classes:

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)
- ✅ 18.02 [Multivariable Calculus](/courses/mit/course-18/18-02/) (Fall 2007 - Fall 2022)
- ✅ 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)
- 🔄 18.650: [Fundamentals of Statistics](/courses/mit/course-18/18-650/) (Fall 2016 - Fall 2018) <span style="color:red">no solutions/exams</span>
- 🔄 18.650: [Fundamentals of Statistics](/courses/mit/course-18/18-650/) (Fall 2016 - Fall 2018), <span style="color:red">no solutions/exams</span>
- 🔄 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)
- 🔄 18.102 [Introduction to Functional Analysis](/courses/mit/course-18/18-102/) (Spring 2009 - Spring 2021), <span style="color:red">no solutions</span>
- ✅ 18.112 [Functions of a Complex Variable](/courses/mit/course-18/18-112/) (Fall 2008 / Fall 2019), <span style="color:red">no recent homework/exams</span>
- ✅ 18.901 [Introduction to Topology](https://math.mit.edu/~jhirsh/topology.html) (Spring 2016)

- 🔄 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>
- 🔄 18.435 [Quantum Computation](/courses/mit/course-18/18-435/) (Fall 2023), <span style="color:red">no recent homework/exams</span>
- ✅ 18.783: [Elliptic Curves](https://math.mit.edu/classes/18.783/2023/) (Fall 2023)
1 change: 1 addition & 0 deletions docs/courses/mit/course-18/18-02.md
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Expand Up @@ -11,6 +11,7 @@ Calculus of several variables. Vector algebra in 3-space, determinants, matrices
Also see the math department's [subject overview](https://math.mit.edu/academics/undergrad/first/calculus.html) for courses on calculus.

### Resources:
- Fall 2022 [recitations](https://ktallen.github.io/teaching/1802sp22)
- Fall 2021 [lecture notes](https://math.mit.edu/~poonen/notes02.pdf)
- In recent years the 18.02 curriculum has been modernized, in particular to incorporate more linear algebra.
- Fall 2010 (18.022) [OCW](https://ocw.mit.edu/courses/18-022-calculus-of-several-variables-fall-2010/) (homework, solutions, exams, lecture notes)
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17 changes: 17 additions & 0 deletions docs/courses/mit/course-18/18-102.md
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---
layout: page
title: 18.102 Introduction to Functional Analysis
permalink: /courses/mit/course-18/18-102/
---

**Catalog description:**
\\
Normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators. Lebesgue measure, measurable functions, integrability, completeness of L-p spaces. Hilbert space. Compact, Hilbert-Schmidt and trace class operators. Spectral theorem.

Also see the math department's [subject overview](https://math.mit.edu/academics/undergrad/subjects/181x.html) for courses on analysis.

### Resources:
- 18.102 Spring 2021 [OCW](https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/) (homework, exams, lecture notes, [lecture videos](https://www.youtube.com/playlist?list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_))
- 18.102 Spring 2021 [in-class scribe lecture notes](https://web.stanford.edu/~lindrew/18.102.pdf)
- 18.102 Spring 2017 [class website](https://math.mit.edu/~rbm/18-102-S17/) (homework, exams, lecture notes)
- 18.102 Spring 2009 [OCW](https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2009/) (homework, solutions, exams, lecture notes)
15 changes: 15 additions & 0 deletions docs/courses/mit/course-18/18-112.md
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---
layout: page
title: 18.112 Functions of a Complex Variable
permalink: /courses/mit/course-18/18-112/
---

**Catalog description:**
\\
Studies the basic properties of analytic functions of one complex variable. Conformal mappings and the Poincare model of non-Euclidean geometry. Cauchy-Goursat theorem and Cauchy integral formula. Taylor and Laurent decompositions. Singularities, residues and computation of integrals. Harmonic functions and Dirichlet's problem for the Laplace equation. The partial fractions decomposition. Infinite series and infinite product expansions. The Gamma function. The Riemann mapping theorem. Elliptic functions.

Also see the math department's [subject overview](https://math.mit.edu/academics/undergrad/subjects/181x.html) for courses on analysis.

### Resources:
- 18.102 Fall 2019 [in-class scribe lecture notes](https://web.stanford.edu/~lindrew/18.112.pdf)
- 18.112 Fall 2008 [OCW](https://ocw.mit.edu/courses/18-112-functions-of-a-complex-variable-fall-2008/) (homework, solutions, exams, lecture notes)

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