Week Date Subject Material Reference
37 Mon 7.9.
Wed 9.9.
Sequences, limits, functions
Derivative
Adams: 1 Limits and Continuity
Adams: 2.2 Derivative
38 Mon 14.9.
Wed 16.9.
Optimisation, differentiation techniques
Taylor polynomials, pointwise approximation
Adams: 2 Differentiation
Adams: 3 Trancendental Functions
Adams: 4 More Applications of Differentiation
Adams: 4.10 Taylor Polynomials
39 Mon 21.9.
Wed 23.9.
Definition of the definite integral as a limit
Numerical quadratures
Adams: 5.3 The Definite Integral
Adams: 6.6 The Trapezoid Rule and Midpoint Rules
40 Mon 28.9.
Wed 30.9.
Integration techniques
Integration by parts
Adams: 5.6 The Method of Substitution
Adams: 6.1 Integration by Parts
41 Mon 5.10.
Wed 7.10.
Ordinary differential equations
Solution techniques, Euler's method

Adams: 7.9 First-Order Differential Equations
Adams: 18.3 Numerical Methods
42 Mon 12.10.
Wed 14.10.
Harmonic oscillator
Revision
Adams: 3.7 Second-Order Linear DEs with Constant Coefficients
Adams: Appendix I Complex Numbers
Last modified: Monday, 21 September 2020, 8:43 AM