Welcome

Thanks for joining me! I hope you will find the information on this website useful and informative, and that it will give you an insight into the courses I am teaching. This is a personal page. The contents of this page and the links in it are being provided as a convenience and for informational…

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MATH 3040

Number systems. Divisibility. Common divisors and multiples. Euclid’s algorithm. Methods of Fermat, Euler and Brünn. Intoduction to the theory of prime numbers. Special functions of number theory. Linear dioaphantine equations. Congruences. Historical development of number theory. Syllabus Here Course calendar Here Text

MATH 3070

This course is designed for students who are currently in their second or third semester in the Mathematics Program. This seminar offers a general vision about the program in mathematics. It also offers information about graduate studies in mathematics and the different professions in the field. A central objective of the course is to help…

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MATH 3151

Limits and continuity of functions of a single variable. Differentiation and its applications to optimization. Antiderivatives. The mean value theorem and its corollaries. The definite integral and its applications. Definition and properties of logarithmic and exponential functions using calculus. Syllabus Here Course Calendar Here Topics Here Text Old Exams Old #1 Exams Old #2 Exams…

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MATH 3152

Transcendental functions, integration techniques, Euler’s method, first-order linear differential equations, conic sections, polar coordinates, parametric equations, sequences, indeterminate forms, improper integrals and infinite series. Syllabus Here Course Calendar Here Text

MATH 3153

Vectors. Vector calculus. Functions of several variables. Gradients. Extreme values. Differentials. Double and triple integrals. Line and surface integrals. Syllabus Here Course Calendar Here

MATH 3163

This course has been designed for Chemistry students. The purpose is to expose the student to a series of techniques and topics at an opportune moment in his or her academic training. The topics to be covered are the following: Integral Calculus: antiderivatives, indefinite and improper integrals. Integration methods, numerical integration. Probability distributions and mean…

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MATH 3172

Exponential functions, logarithmic functions, trigonometric functions, systems of equations, matrices, determinants, sequences and series. Syllabus Here Course Calendar Here Topics Here Text

MATH 6540

Topology of the line and of the plane. Abstract topological spaces. Subspaces, Relative topology Bases and sub-bases. Continuity. Topological equivalence. Metric spaces. Product topology. Quotient spaces. Separation axioms. Hausdorff spaces. Compact spaces Related spaces. Complete metric spaces. Function spaces. Syllabus Here Calendar Here Topics A B

MATH 6551

The study of topological problems with algebraic methods. Introduction to category theory and functors. Homology and homotopy theory. Syllabus Here. Course Calendar Here.