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What you'll be able to do (official learning outcomes)
describe the definite integral and construct antiderivatives using the fundamental theorem of Calculus
derive antiderivatives of polynomials, exponential maps, selected trigonometric functions and linear combinations of these functions
evaluate indefinite and definite integrals using techniques of integration and method of substitution
apply integration by parts to evaluate integrals
evaluate integrals by inverse substitution; and
Course contents
Definition, properties of integration. Definite integral. Method of integration. Method of substitution. Integration of rational functions. Substitutions before resolving into partial fraction. Reduction formulae and applications. Advanced look at the existence of the Proper Riemann Integral.
Source: the Nigerian Universities Commission (NUC) Core Curriculum and Minimum Academic Standards (CCMAS). StudyOps loads this syllabus automatically when you study ACS 202.