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…
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…
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…
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…
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
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.
Latex Workshop
If you bring your laptop you can try coding a few mathematical formulas. Click on the following archives (as soon as it opens in Overleaf, clone it so you can edit): Lesson 1 — the .zip archive Lesson 2 — the .zip archive Lesson 3 — the .zip archive Lesson 4 — the .zip archive…
Iván Cardona Torres, Ph.D. 