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Course outline
• Part 1: Elements of discrete mathematics
– Sets and logic
– Natural numbers and proof by induction
– Inductive data structures (lists and trees)
– Functions
• Part 2: Real analysis: functions of one variable
– Sequences
– Series
– Continuity
– Differentiability
– Applications of differentiability
– The indefinite integral
– The definite integral and its applications
Mathematics 2 outline
• Part 3: Complex numbers
• Part 4: Linear algebra
– Linear systems and matrices
– Vector spaces and linear transformations
– Determinants
– Eigenvalues and -vectors
– Applications
• Part 5: Real analysis: functions of several variables
– Differentiability in R
n
– Optimization
– Multiple integrals