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• Real numbers
• Complex numbers
• Matrices
• Introduction
• Solution of linear equations
• Leslie matrices
• Markov chains
• Affine linear transformations
• Groups
• Structures and patterns
• Counting methods, permutations, combinations
• Linear recurrence relations (including arithmetic and geometric sequences)
• Sequences and proof
• Vectors
• Storage vectors
• Geometric vectors
• Probability
• Conditional probability
• Poisson distribution
• t-distribution, confidence intervals and hypothesis testing
• Conic sections
• Cartesian form
• Polar form
• Parametric form
• Complex form
• Integration
• Numerical methods
• Substitution method, integration by parts
• Volumes of revolution
• Numerical methods
• Solution of equations
• Small changes, Taylor polynomials
• Linear programming