Calendar · Lecture Notes
MIT OpenCourseWare
Computational Science and Engineering I
- Instructor
- Dr. Chengzhao (Richard) Zhang
- Term
- Summer 2020
- Level
- Undergraduate
- What's inside
- 7 problem sets · 2 exams · 8 solutions · 16 lecture notes · 13 other files · 6 web pages
- Materials open
- MIT OCW
Other versions of this course
- 18.085 · Summer 2020 · Study here (this version)
- 18.085 · Fall 2008 · Study here
About this course
Source: MIT OpenCourseWare 18.085 Computational Science and Engineering I, Summer 2020, Dr. Chengzhao (Richard) Zhang — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.
Not included here
5 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (4 items)
- Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence.
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
19 files
- Dynamical Systems and Traffic Control (Used with permission.) Download
- Wave Energy Generation (file 2 of 3) (Used with permission.) Download
- Signal Processing and FT Application (Used with permission.) Download
- 18.085 Summer 2020 Lecture Notes: Dynamical Systems and Traffic Control Download
- 18.085 Summer 2020 Lecture Notes: Finite Element Modeling of the Detachment of Soft Adhesives Download
- 18.085 Summer 2020 Lecture Notes: Numerical Differentiation and Thunderstorm Research Download
- 18.085 Summer 2020 Lecture Notes: Signal Processing & FT Application Download
- 18.085 Summer 2020 Lecture Notes: Solving Linear Equation Download
- 18.085 Summer 2020 Lecture Notes: Wave Energy Generation Download
- 18.085 Summer 2020 Lecture: Deep Learning/Double Descent Download
- 18.085 Summer 2020 Week 1 Lecture Notes Download
- 18.085 Summer 2020 Week 2 Lecture Notes Download
- 18.085 Summer 2020 Week 3 Lecture Notes Download
- 18.085 Summer 2020 Week 4 Lecture Notes Download
- 18.085 Summer 2020 Week 5 Lecture Notes Download
- 18.085 Summer 2020 Week 6 Lecture Notes Download
- 18.085 Summer 2020 Week 7 Lecture Notes Download
- 18.085 Summer 2020 Week 8 Lecture Notes Download
- 18.085 Summer 2020 Week 9 Lecture Notes Download
Assignments
20 files
- Problem Set 1 Solutions Code Download
- Problem Set 7 Problem 2 Coding Part Solutions This zip file contains 5 .m files. Download
- Problem 2 Coding This zip file contains 5 .m files. Download
- Problem Set 2 Solutions Code Download
- Problem 3 Coding This zip file contains 2 .m files. Download
- 18.085 Summer 2020 Problem Set 1 Download
- 18.085 Summer 2020 Problem Set 1 Solutions Download
- 18.085 Summer 2020 Problem Set 2 Download
- 18.085 Summer 2020 Problem Set 2 Solutions Download
- 18.085 Summer 2020 Problem Set 3 Download
- 18.085 Summer 2020 Problem Set 3 Solutions Download
- 18.085 Summer 2020 Problem Set 4 Download
- 18.085 Summer 2020 Problem Set 4 Solutions Download
- 18.085 Summer 2020 Problem Set 5 Download
- 18.085 Summer 2020 Problem Set 5 Solutions Download
- 18.085 Summer 2020 Problem Set 6 Download
- 18.085 Summer 2020 Problem Set 6 Solutions Download
- 18.085 Summer 2020 Problem Set 7 Download
- Dirichlet Code Demo Download
- Problem Set 3 Solutions Code Download
Exams
- 18.085 Summer 2020 Final Exam Download
- 18.085 Summer 2020 Final Exam Solutions Download
- 18.085 Summer 2020 Midterm Exam Download
- 18.085 Summer 2020 Midterm Exam Solutions Download
Related Resources
Other materials from this course
Course outline
Calendar · Lecture Notes
Lecture 2: Review of Linear Algebra (cont.)
Calendar · Lecture Notes
Lecture 3: Review of Linear Algebra (cont.)
Calendar · Lecture Notes
Lecture 4: Differences, Derivatives, and Boundary Conditions
Calendar · Lecture Notes
Lecture 5: Inverses and Delta Functions
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Lecture 6: Eigenvalues and Eigenvectors
Calendar · Lecture Notes
Lecture 7: Positive Definite Matrices and Least Squares
Calendar · Lecture Notes
Lecture 8: Numerical Linear Algebra: LU, QR, SVD
Calendar · Lecture Notes
Lecture 9: Equilibrium and the Stiffness Matrix
Calendar · Lecture Notes
Lecture 10: Oscillation by Newton’s Law I
Calendar · Lecture Notes
Lecture 11: Oscillation by Newton’s Law II
Calendar · Lecture Notes
Lecture 12: Graph Models and Kirchhoff’s Laws
Calendar · Lecture Notes
Lecture 13: Damped Harmonic Oscillators and the Laplace Transform I
Calendar · Lecture Notes
Lecture 14: Damped Harmonic Oscillators and the Laplace Transform II
Calendar · Lecture Notes
Lecture 15: Review of Vector Calculus I
Calendar · Lecture Notes
Lecture 16: Review of Vector Calculus II; Fourier Series
Calendar · Lecture Notes
Lecture 17: Fourier Series (cont.)
Calendar · Lecture Notes
Lecture 18: Polar Coordinates and Laplace’s Equation
Calendar · Lecture Notes
Lecture 19: Laplace’s Equation and Separation of Variables
Calendar · Lecture Notes
Lecture 20: Laplace’s Equation and Finite Difference
Calendar · Lecture Notes
Lecture 21: The Finite Element Method I
Calendar · Lecture Notes
Lecture 22: The Finite Element Method II
Calendar · Lecture Notes
Lecture 23: The Discrete Fourier Transform and the FFT I
Calendar · Lecture Notes
Lecture 24: The Discrete Fourier Transform and the FFT II
Calendar · Lecture Notes
Lecture 25: Convolution and Signal Processing
Calendar · Lecture Notes
Lecture 26: Fourier Integrals
Calendar · Lecture Notes
Lecture 27: Course Review
Calendar · Lecture Notes
Lecture 28: Guest Lectures
Calendar · Lecture Notes
Lecture 29: Special Topic: Deep Learning/Double Descent
MIT OpenCourseWare, Dr. Chengzhao (Richard) Zhang, 18.085 Computational Science and Engineering I, Summer 2020.
License: CC BY-NC-SA 4.0 · Edition: Summer 2020 · Open the original course on OCW ↗
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