الرياضياتدورة مكتوبة
Single Variable Calculus (MIT 18.01)
Differentiation, integration and infinite series, from first principles
Taught by YouLearn Open Libraryلا مسجّلينحُدّثت في 24 غشت 2026
Single Variable Calculus (MIT 18.01)عن هذه الدورة
Differentiation and integration of functions of one variable, closing with a look at infinite series. The emphasis throughout is on applying the machinery — to physics, to engineering, to economics — rather than on manipulating symbols for their own sake. Organised as five units, each with its own problem sets and exams on MIT OpenCourseWare.
محتوى الدورة
5 أقسام · 13 درساً
1.Differentiation
درسان- Part A — Definition and Basic RulesSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010معاينة
- Part B — Implicit Differentiation and Inverse FunctionsSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
2.Applications of Differentiation
3 دروس- Part A — Approximation and Curve SketchingSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part B — Optimization, Related Rates and Newton's MethodSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part C — Mean Value Theorem, Antiderivatives and Differential EquationsSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
3.The Definite Integral and its Applications
3 دروس- Part A — Definition and the First Fundamental TheoremSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part B — Second Fundamental Theorem, Areas and VolumesSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part C — Average Value, Probability and Numerical IntegrationSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
4.Techniques of Integration
3 دروس- Part A — Trigonometric Powers and SubstitutionSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part B — Partial Fractions, Integration by Parts and Arc LengthSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part C — Parametric Equations and Polar CoordinatesSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
5.Exploring the Infinite
درسان- Part A — L'Hospital's Rule and Improper IntegralsSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
- Part B — Taylor SeriesSource: MIT OpenCourseWare — 18.01SC Single Variable Calculus, Fall 2010
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