MATH114 Integration and Differentiation Robin Hillier 2016-2017 Contents: 1 Integration 1.1 Continuous functions 1.2 Integration of continuous functions 1.3 Basic properties and estimates 2 Series 2.1 Series versus sequence 2.2 Some important examples of series 2.3 Convergence tests 3 Differentiation 3.1 Difference quotients and limits 3.2 Basic properties of differentiable functions 3.3 The mean-value theorem and applications 3.4 Fundamental theorem of calculus and applications