For students in science: geared towards applications, with attention to underlying concepts. Functions: limits, continuity, derivatives, optimization,...

For students in science: additional techniques of integration, applications of definite integrals, differential equations, polar coordinates,...

Vector spaces given by solutions to linear systems. Linear independence, dimension. Determinants. Eigenvalues, eigenvectors and diagonalisation....

Inquiry into the ideas and methods of advanced mathematics. Material will include topics selected from algebra, calculus, discrete math, geometry and...

A first course in the techniques of the differential calculus including exponential, logarithmic and trigonometric functions. An introduction to...

Properties of polynomial, rational, exponential and logarithmic functions. Derivatives of functions with applications. Three lectures, one tutorial;...

Topics from differential and integral calculus, differential equations, discrete math, chosen for their relevance to the life sciences. Three...

Applications of integration, autonomous differential equations, sequences and series, parametrized curves and polar coordinates, functions of several...

Integral calculus of polynomial, rational, exponential and logarithmic functions. Optimization problems. Applications in the Social Sciences and...

For students with interest in mathematics/statistics: emphasis on geometric intuition, but also theoretical foundations. Functions: limits,...

For students in mathematics/statistics. Additional techniques of integration, applications of definite integrals, differential equations, polar...

Differential calculus, sequences and series, vectors and the geometry of space. Three lectures, one tutorial; one term Prerequisite(s): Registration...

The definite integral, techniques of integration, parametrized curves, polar coordinate, applications. Three lectures; one term Prerequisite(s): MATH...

Partial derivatives, multiple integrals, complex numbers, vector spaces, systems of linear equations, matrices, determinants, introduction to...

Functions of several variables, chain rule, Taylor's formula, extremal problems, Lagrange multipliers; multiple integrals, change of variables...

Ordinary differential equations, Laplace transforms, series solutions, partial differential equations, separation of variables, Fourier series. Three...

Introduction to computational modeling using software such as R or MATLAB. Analytical modeling using algebra and calculus. The development and...

Nominal and effective rates of interest and discount, forces of interest and discount, compound interest, annuities certain; amortization, sinking...

Selected topics from: linear programming, Markov chains, game theory, differential equations, and the calculus of several variables. Three lectures;...

Abstract vector spaces. Linear transformations. Inner product spaces. Spectral theorems. Orthogonal bases, other topics. Three lectures; one term ...