The post Mathematics 4151 Advanced Calculus appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3231 **Description**: Topology of Rn. Continuity and differentiability of functions from Rn to Rm. Taylor’s Theorem for functions of n variables. Maxima and minima; positive definite and negative definite quadratic forms. The Inverse Function Theorem and the Implicit Function Theorem. Fubini’s Theorem. Change of variables in multiple integrals. **Offering:** 0-0; 3-0

The post Mathematics 4211 Reading and Research in Mathematics appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Honours year standing in Mathematics **Description**: Directed studies and research under the guidance of a faculty member in an area of mathematics. The student’s transcript shall contain a title descriptive of the work accomplished under the reading course, if possible. **SpecialTopic:** Y

The post Mathematics 4213 Reading and Research in Mathematics appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Honours year standing in Mathematics **Description**: Directed studies and research under the guidance of a faculty member in an area of mathematics. The student’s transcript shall contain a title descriptive of the work accomplished under the reading course, if possible. **SpecialTopic:** Y

The post Mathematics 4218 Point-Set Topology appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3233 or permission of the Chair of the Department **Description**: Topological spaces; neighbourhoods, bases, and sub-bases; product spaces and weak topologies; nets and filters; convergence; separation axioms, including Urysohn’s lemma and Tietze’s extension theorem; compact and locally compact spaces, including Tychonoff’s theorem and compactifications; metrizability; and connectedness. **Offering:** 3-0; or 3-0

The post Mathematics 4219 Introduction to Fourier Analysis appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3233 **Description**: Fourier analysis on the circle, Dirichlet kernel, Fejer’s theorem, convergence of Fourier series. **Offering:** 3-0; or 3-0

The post Mathematics 4301 Honours Seminar appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 1.0 **Prerequisite(s):** Honours year standing in Mathematics **Description**: Required of honours mathematics majors in their fourth year. Normally consists of seminars presented by the staff and students, who are asked to prepare and present a number of papers. **Offering:** 3-0; 3-0

The post Mathematics 4331 Stochastic Processes appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2331 and 2333 **Description**: Random walk and recurrent events; Markov chains; martingales; simple time continuous processes. **Offering:** 3-0; or 3-0

The post Mathematics 4375 Galois Theory appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2234 **Description**: An introduction to Galois Theory; field extensions; splitting fields; the Galois group; Fundamental Theorem of Galois Theory; insolvability of the quintic. **Offering:** 3-0; or 3-0

The post Mathematics 4111 Measure Theory appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3233 **Description**: Measure spaces, measurable functions, measures, the integral, integrable functions, the Lebesgue dominated convergence theorem, modes of convergence, Egoroff’s theorem, the Hahn and Jordan decomposition theorems, the Radon-Nikodym theorem, Lebesgue spaces, and the Reisz representation theorem for Lebesgue spaces. **Offering:** 3-0; or 3-0

The post Mathematics 4112 Introduction to Functional Analysis appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3233 **Description**: The course material covers normed vector spaces, bounded operators, Baire category, the Banach-Steinhaus theorem,the open mapping theorem, the closed graph theorem, the Hahn-Banach theorems, Hilbert spaces, the Riesz representation theorem, and compact operators. **Offering:** 3-0; or 3-0

The post Mathematics 3371 Computational Linear Algebra and Numerical Approximation I appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2255 and 2275 **Description**: An introduction to numerical methods for interpolation, least squares problems, real symmetric algebraic eigenproblems, matrix factorization and the solution of linear equations, including norms and error analysis. **Offering:** 3-0; 0-0

The post Mathematics 3373 Combinatorics and Graph Theory appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 1271 or permission of the Chair of the Department **Description**: Review of primes and basic number theory, binomial coefficients and other special number sequences, generating functions, graphs, trees, paths and connectivity, matchings, colourings, flows, and algorithms in combinatorics and graph theory. **Offering:** 3-0; or 3-0

The post Mathematics 3375 Theory of Cryptology appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 1271 or 3071 **Description**: A mathematical introduction to the theory of cryptography and cryptoanalysis. **Offering:** 3-0; or 3-0

The post * Mathematics 4030 Probability and Statistics appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2070 **Description**: Probability and relative frequency; joint probabilities of related and independent events; Bayes’ Theorem; statistical independence; random variables; cumulative distribution functions; probability density functions; parameters describing the central tendency and dispersion of distribution; probability distribution functions in engineering; law of large numbers; central limit theorem; testing hypotheses and goodness of fit; sampling theory; linear correlation and regression. **Offering:** 3-0; 0-0

The post Mathematics 3233 Introductory Analysis II appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3231 **Description**: Limits of functions, continuity, the derivative of a real function, the mean value theorems, l’Hospital’s rule, Taylor’s theorem, the Riemann integral, sequences and series of functions, uniform and pointwise convergence, and power series. **Offering:** 0-0; 3-0

The post Mathematics 3331 Linear Programming and Applications appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** One of Mathematics 1071, 2255 or 2070; or permission of the Chair of the Department **Description**: Linear programming including simplex methods, sensitivity analysis, the duality theorem, complementary slackness, and the dual simplex method. Integer programming. Selected topics from: interior point method, quadratic programming, network flows, transportation algorithms, and two-person zero-sum games. **Offering:** 3-0; 0-0

The post Mathematics 3332 Introduction to Mathematical Probability appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 1172 **Description**: A mathematical introduction to the theory and application of probability. Topics may include distributions and their properties, limit theorems, expectation and simulations. **Offering:** 3-1; 0-0 **Notes:** Students who have previous credit in Mathematics 2331 may not take Mathematics 3332 for credit.

The post Mathematics 3333 Operations Research appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2331 and 3331; or permission of the Chair of the Department **Description**: Topics selected from network algorithms, game theory, inventory models, sequencing and scheduling, dynamic programming, decision-making methods, queuing theory, and simulation. **Offering:** 0-0; 3-0

The post Mathematics 3334 Introduction to Mathematical Statistics appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2331 **Description**: A mathematical introduction to statistics, using the probability theory developed in Math. 2331. Topics include point and interval estimation, test of hypothesis, non-parametric methods, goodness of fit, experimental design, analysis of variance and covariance, regression and correlation. **Offering:** 0-0; 3-1 **Notes:** Students who have previous credit in Mathematics 2333 may not take Mathematics 3334 for credit.

The post Mathematics 3351 Applied Numerical Methods appeared first on Lakehead University - CourseGuru.

]]>**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 2111, or equivalent **Description**: An introduction to various numerical techniques for such tasks as approximating integrals, solving systems of equations, solving ordinary and partial differential equations, finding roots of equations in one variable and approximating functions. **Offering:** 3-1; or 3-1