MS-A0111 - Differential and Integral Calculus 1, Lecture, 13.9.2021-27.10.2021
This course space end date is set to 27.10.2021 Search Courses: MS-A0111
Topic outline
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More material will be added here as the course proceeds. The videos do not cover all the course material; they only contain the main definitions and some examples.
Short videos (with varying length):
- Sequences (25:01)
- Series (35:43; please skip blackboard cleaning from 10:00 to 13:45 :)
- Continuity (33:09)
- Derivative (30:11)
- Taylor polynomials and series Part 1: Taylor (35:50), Part 2: Power series (23:24)
- Elementary functions Part 1: Inverse (18:49); Part 2: Inverse trig. (18:58); Part 3: exp and ln (21:34)
- The concept of area in the plane (14:22)
- Integral Part 1: Definition (32:06); Part 2: Applications (13:12); Part 3: Improper integrals (10:58); Part 4: Methods of integration (41:51)
- ODE of the 1st order Part 1: Separable (24:55); Part 2: Linear (14:24)
- ODE of the 2nd order Part 1: General theory (14:46); Part 2: Homogeneous case (18:46); Part 3: Non-homogeneous case (21:25)
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Examples shown during the lectures.
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Lecture notes, including copies of the lecture transcripts.
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Recorded lectures.
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Sequences, limits, functions. Not part of the continuous assessment, this is for activation only.
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Derivative
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Exponential, logarithms, trigonometric functions and their inverses.
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Taylor polynomials.
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The definite integral.
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Numerical quadrature rules.
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Techniques for integration: Method of substitution.
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Integration by parts.
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Ordinary differential equations.
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Differential equations, including numerical methods.
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2nd order ODE with constant coefficients.
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Lecture notes, including copies of the lecture transcripts.
- Sequences (25:01)