APTPUO - Fall 2024 - MAT 3320A

Description :Official course description: « Comparative study of the ideas, concepts and issues leading to an understanding of political phenomena and of their impact on the lives of individuals and societies. Reflection on power, citizenship and political participation. Introduction to research tasks (e.g. bibliographic research, writing a research...

Description :Official course description: « Comparative study of the ideas, concepts and issues leading to an understanding of political phenomena and of their impact on the lives of individuals and societies. Reflection on power, citizenship and political participation. Introduction to research tasks (e.g. bibliographic research, writing a research...

Description :Révision des fonctions élémentaires, introduction aux limites, séries géométriques, introduction au calcul différentiel et intégral de fonctions d'une variable, applications de la dérivée et de l'intégrale, approximation linéaire, applications aux problèmes d'optimisation. Les étudiant(e)s qui ont déja étudié la dérivée...

Description :Review of elementary functions. Introduction to Limits. Geometric series. Introduction to differential and integral calculus in one variable with applications. Linear approximations, applications to optimization. Students who have previously studied the derivative and differentiation rules should take MAT 1300 instead. This course is...

Description :Fonctions polynômiales et rationnelles: factorisation, le théorème du reste, familles de polynômes avec des zéros spécifiés, fonctions polynômiales paires et impaires. Logarithme et exponentiel de bases différentes, leurs lois. Fonctions trigonométriques: mesure en radian, valeurs des quotients trigonométriques principaux,...

Description :Review of elementary functions. Limits. Geometric series. Differential and integral calculus in one variable with applications. Functions of several variables. Partial derivatives. Posting limited to: Professeur à temps-partiel régulier / Regular Part-Time Professor Date Posted: May 01, 2024 Closing Date: May 31, 2024 Note :...

Description :Extrema of functions of several variables. Multiple integration and applications. Vector fields and their derivatives. Curves. Vector differential operators. Line integrals. Surfaces and surface integrals. Theorems of Stokes, Gauss, etc. Posting limited to: Professeur à temps partiel postdoctoral / Postdoctoral Part-Time Professor ...

Description :Révision des fonctions élémentaires. Limites. Séries géométriques. Calcul différentiel et intégral des fonctions d'une variable et applications. Fonctions de plusieurs variables. Dérivées partielles. Posting limited to: Professeur à temps partiel postdoctoral / Postdoctoral Part-Time Professor Date Posted: May 01, 2024 ...

Description :Probability axioms and their consequences. Conditional probability and independence. Random variables, distributions and densities, moments, sampling distributions. Weak law of large numbers, sums of independent random variables, moment generating functions, convergence concepts, the central limit theorem. Posting limited to: Professeur...

Description :General concepts. First order equations. Linear differential equations of higher order. Differential operators. Laplace transforms. Systems of differential equations. Series solutions about ordinary points. Numerical methods including error analysis; numerical differentiation, integration and solutions of differential equations. Posting...

Description :A concise survey of: combinatorial analysis; probability and random variables; discrete and continuous densities and distribution functions; expectation and variance; normal (Gaussian), binomial and Poisson distributions; statistical estimation and hypothesis testing; method of least squares, correlation and regression. The emphasis is on...

Description :Descriptive statistics using a software package. A concise survey of probability. The normal distribution. The central limit theorem and statistical estimation illustrated via simulation. Hypothesis testing, the design of experiments, paired sampling, categorical data and regression. Examples from the biosciences analyzed with statistical...

Description :Topics from descriptive statistics: histograms and boxplot; average and observed standard deviation; elementary probability; normal distribution; statistical estimation and hypothesis testing; correlation and regression. Examples analyzed with statistical software. Posting limited to: Professeur à temps-partiel étudiant / Student...

Description :Derivatives: product and quotient rules, chain rule, derivative of exponential, logarithm and basic trigonometric functions, higher derivatives, curve sketching. Applications of the derivative to life sciences. Discrete dynamical systems: equilibrium points, stability, cobwebbing. Integrals: indefinite and definite integrals, fundamental...

Description :Review of complex numbers. The fundamental theorem of algebra. Review of vector and scalar products, projections. Introduction to vector spaces, linear independence, bases; function spaces. Solution of systems of linear equations, matrix algebra, determinants, eigenvalues and eigenvectors. Gram Schmidt, orthogonal projections. Linear...

Description :Derivatives: product and quotient rules, chain rule, derivative of exponential, logarithm and basic trigonometric functions, higher derivatives, curve sketching. Applications of the derivative to life sciences. Discrete dynamical systems: equilibrium points, stability, cobwebbing. Integrals: indefinite and definite integrals, fundamental...

Description :Integrals: numerical integration; improper integrals. Introduction to differential equations: some techniques to solve simple differential equations, numerical solution of differential equations and models in the life sciences using differential equations. Introduction to linear algebra: matrices and matrix algebra, determinants,...

Description :Instantaneous rate of change and definition of limits; continuity. Derivatives of polynomials using limits, derivatives of sums, products, the chain rule, derivatives of rational, exponential, and radical functions. Derivatives of quotients, logarithms. Analysis of functions via the first and the second derivatives. Applications to finding...

Description :Instantaneous rate of change and definition of limits; continuity. Derivatives of polynomials using limits, product and quotient rules, chain rule, derivative of exponential, logarithm and basic trigonometric functions, higher derivatives, curve sketching. Applications of the derivative to life sciences. Discrete dynamical systems:...

Description :Intuitive definition of limits; continuity, statement of intermediate value theorem. Quick review of basic derivative formulas: products, chain rule, exponentials, and trigonometric functions. Derivatives of quotients, logarithms, inverse trigonometric functions. Finite difference approximations of derivatives. Analysis of functions via...