Suggested preparation: Calculus and introductory linear algebra.
Optional preparation: Linear Equations and Inequalities: Free Course.
About this course
Review complex variables together with differential equations and linear algebra. This multi-part lecture collection connects several mathematical tools used in science and engineering.
Topics and lesson examples
- Part I: Complex Variables, Lec 1: The Complex Numbers
- Part I: Complex Variables, Lec 5: Integrating Complex Functions
- Part II: Differential Equations, Lec 5: Variations of Parameters
- Part III: Linear Algebra, Lec 3: Constructing Bases
- Part III: Linear Algebra, Lec 8: Orthogonal Functions
Course at a glance
| Provider | MIT |
|---|---|
| Platform | YouTube · MIT OpenCourseWare |
| Access | Free Video |
| Level | Intermediate — WikiFree study-level assessment |
| Language | English |
| Available lessons | 20 |
| Video duration | 11h 28m · self-paced |
| Details checked | 10 October 2026 |
Preparation and study approach
Suggested preparation: Calculus and introductory linear algebra.
Follow the available videos in sequence, pausing to summarize the main argument or reconstruct a worked example. Keep a short list of assumptions, unfamiliar terms and questions to revisit. Additional reading, problem solving and practice will take time beyond the listed video duration.
Using this video classroom
Select a lesson from the list, or search for a topic. Previous and Next move through the sequence. You can mark lessons complete; progress is stored in this browser without a WikiFree account.
Free access and course scope
The public MIT OpenCourseWare videos in this classroom are free to watch. This listing provides the available playlist recordings, which may include selected lectures, recitations, demonstrations or supporting discussions rather than every component of the original campus course. Textbooks, equipment, software licenses, supervised labs, graded assignments and instructor feedback are not supplied by WikiFree. No purchase is required to watch the videos or use the note-based study approach above.
WikiFree independently organizes these resources for self-paced study. Watching does not award an MIT certificate, academic credit or admission to MIT.
Video provider and credit: MIT OpenCourseWare on YouTube. WikiFree titles, descriptions and cover artwork are independently prepared.
Related courses for your next step
- Review a lower-level optionLinear Equations and Inequalities: Free Course
Focus: Linear equations · Inequalities
Beginner - Explore a higher-level optionDifferential Equations: Free Course
Focus: Differential equations · First-order methods
Professional - Compare another approachDifferential Equations: AP Calculus AB: Free Course
Focus: Differential equations · Slope fields
Intermediate
Compare course focus, level and study time
| Course | Level | Focus | Study time |
|---|---|---|---|
| This course — Free MIT Course: Complex Variables, Differential Equations and Linear Algebra | Intermediate | Part I: Complex Variables, Lec 1: The Complex Numbers · Part I: Complex Variables, Lec 5: Integrating Complex Functions · Part II: Differential Equations, Lec 5: Variations of Parameters | 11h 28m of video; practice time is additional |
| Linear Equations and Inequalities: Free Course | Beginner | Linear equations · Inequalities · Proportions | 3h 14m of video; practice time is additional |
| Differential Equations: Free Course | Professional | Differential equations · First-order methods · Second-order equations | 8h 20m of video; practice time is additional |
| Differential Equations: AP Calculus AB: Free Course | Intermediate | Differential equations · Slope fields · Separation of variables | 1h 34m of video; practice time is additional |
Provider: MIT. Videos play from the MIT OpenCourseWare channel on YouTube.
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