Calendar · Lecture Notes
MIT OpenCourseWare
Advanced Analytic Methods in Science and Engineering
- Instructor
- Prof. Hung Cheng
- Term
- Fall 2004
- Level
- Graduate
- What's inside
- 1 lecture note · 25 other files · 4 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 18.305 Advanced Analytic Methods in Science and Engineering, Fall 2004, Prof. Hung Cheng — 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.
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
- A lecture sequence of 12 items is confirmed. Assignment and exam materials exist too, but MIT's own order for them could not be verified, so they're shown as materials below rather than a sequence.
Not included here
1 item from the source could not be safely included:
- 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
15 files
- The Differential Operator Download
- Complex Analysis Download
- First-Order Partial Differential Equations Download
- Second-Order Partial Differential Equations Download
- Separation of Variables Download
- Singular Points of Ordinary Differential Equations Download
- Regular Singular Points of Ordinary Differential Equations Download
- Irregular Singular Points of Ordinary Differential Equations Download
- The WKB Approximation Download
- Turning Point Download
- The Laplace Method Download
- Method of Stationary Phase Download
- Asymptotic Expansions of Integrals Download
- Boundary Layers and Singular Perturbation Download
- Interior Turning Points Download
Assignments
8 problem sets
Exams
Course outline
Calendar · Lecture Notes
Lecture 2: Complex Analysis
Calendar · Lecture Notes
Lecture 3: First Order Partial Differential Equations
Calendar · Lecture Notes
Lecture 4: Second Order Partial Differential Equations
Calendar · Lecture Notes
Lecture 5: Separation of Variables
Calendar · Lecture Notes
Lecture 6: Singular Points of Ordinary Differential Equations
Calendar · Lecture Notes
Lecture 7: Regular Singular Points of Ordinary Differential Equations
Calendar · Lecture Notes
Lecture 8: Irregular Singular Points of Ordinary Differential Equations
Calendar · Lecture Notes
Lecture 11: Turning Point
Calendar · Lecture Notes
Lecture 12: The Laplace Method
Calendar · Lecture Notes
Lecture 13: Method of Stationary Phase
Calendar · Lecture Notes
Lecture 18: Interior Turning Points
MIT OpenCourseWare, Prof. Hung Cheng, 18.305 Advanced Analytic Methods in Science and Engineering, Fall 2004.
License: CC BY-NC-SA 4.0 · Edition: Fall 2004 · Open the original course on OCW ↗
Organized by RedLectern, independent of MIT and not endorsed by MIT.
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