Week Date Subject Material Reference
37 Mon 13.9.
Wed 15.9.
Sequences, limits, functions
Derivative
Sequences Continuity
Derivative
Adams: 1 Limits and Continuity
Adams: 2.2 Derivative
38 Mon 20.9.
Wed 22.9.
Optimisation, differentiation techniques
Taylor polynomials, pointwise approximation
Elementary Functions
Taylor Polynomial
Adams: 2 Differentiation
Adams: 3 Trancendental Functions
Adams: 4 More Applications of Differentiation
Adams: 4.10 Taylor Polynomials
39 Mon 27.9.
Wed 29.9.
Series
Definition of a definite integral as a limit and numerical quadratures
Series
Integral
Adams: 9 Series
Adams: 5.3 The Definite Integral, 6.6 The Trapezoid Rule and Midpoint Rules
40 Mon 4.10.
Wed 6.10.
Integration techniques
Integration by parts
Adams: 5.6 The Method of Substitution
Adams: 6.1 Integration by Parts
41 Mon 11.10.
Wed 13.10.
Ordinary differential equations
Solution techniques, Euler's method
Differential Equation
Adams: 7.9 First-Order Differential Equations
42 Mon 18.10.
Wed 20.10.
Harmonic oscillator
Revision
Adams: 3.7 Second-Order Linear DEs with Constant Coefficients
Adams: Appendix I Complex Numbers
Last modified: Thursday, 26 August 2021, 11:44 AM