Section numbers are from the textbook Calculus Adams & Essex Edition 9.
Lecture 1 (16.02.2026 - Mon): Introduction to the course, Syllabus
Lecture 2 (18.02.2026 - Wed): Sequences (9.1), Terminology: bounded above/below, positive/negative, increasing/decreasing, monotonic, alternating sequences, ultimate versions
Lecture 3 (23.02.2026 - Mon): Convergence of sequences, Series (9.2), Geometric series, Harmonic series, Convergence and divergence of series
Lecture 4 (25.02.2026 - Wed): Convergence tests for positive series (9.3), Integral test, p-series, Direct comparison test
Lecture 5 (02.03.2026 - Mon): Limit comparison test, Ratio test, Root test, Absolute and conditional convergence (9.4), Alternating series test
Lecture 6 (04.03.2026 - Wed): Power series (9.5), Radius of convergence via ratio test, Interval of convergence, Cauchy product of series, Derivatives and integrals of power series, Power series representation of functions
Lecture 7 (09.03.2026 - Mon): Abel's theorem, Taylor and Maclaurin series (9.6), Analytic and non-analytic functions, Taylor theorem, Taylor polynomials, Lagrange remainder error terms