Part-time Lecturer (at Universidad Técnica Federico Santa María)
Part-time Lecturer (at Universidad Técnica Federico Santa María)
2025-1: Algebra & Geometry (MATE10).
Lecture 1 , Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13, Lecture 14, Lecture 15, Lecture 16, Lectures 17-18-20 (Exercises), Lecture 19, Lecture 21, Lecture 22, Lecture 23, Lecture 24, Lectures 25-26 (Exercises), Lecture 27, Lecture 28, Lecture 29
2025-1: Complements of Calculus & Algebra (MATE08). (Rules)
Notes 1, Notes 2, Notes 3, Notes 4, Notes 5, Notes 7 (exercises), Notes 8, Notes 9, Notes 10, Notes 11, Notes 12, Notes 13, Notes 14, Notes 15, Notes 16, Notes 17, Notes 18, Notes 19, Notes 20, Notes 21, Notes 22, Notes 23, Notes 24, Notes 25, Notes 26, Notes 27, Notes 28, Notes 29, Notes 30, Notes 31, Notes 32, Notes 33, Notes 34, Notes 35, Notes 36, Notes 37
2024-2: Algebraic Geometry (MAT426). Professor: Roberto Villaflor. Information here.
Sheet 1 (Solutions), Sheet 2 (Solutions), Sheet 3 (Solutions), Sheet 4 (Solutions), Sheet 5 (Solutions), Sheet 6
(Solutions), Sheet 7 (Solutions), Sheet 8 (Solutions), Sheet 9 (Solutions), Sheet 10 (Solutions), Sheet 11 (Solutions)
2024-1: Algebraic Topology (MAT250). Professor: Pedro Montero. Information here.
Sheet 1 (Solutions), Sheet 2 (Solutions), Sheet 3 (Solutions), Sheet 4 (Solutions), Sheet 5 (Solutions),
Sheet 6 (Solutions), Sheet 7 (Solutions), Sheet 8 (Solutions), Sheet 9 (Solutions), Sheet 10 (Solutions),
Sheet 11 (Solutions), Sheet 12 (Solutions).
2023-1: Abstract Algebra (MAT214). Professor: Pedro Montero. Information here.
Sheet 1 (Solutions), Sheet 2 (Solutions), Sheet 3 (Solutions), Sheet 4 (Solutions), Sheet 5 (Solutions),
Sheet 6 (Solutions), Sheet 7 (Solutions), Sheet 8 (Solutions), Sheet 9 (Solutions), Sheet 10 (Solutions),
Sheet 11 (Solutions), Sheet 12 (Solutions), Sheet 13 (Solutions).
2022-2: Functional Analysis (MAT227). Professor: Michael Karkulik.
Sheet 1 (Solutions), Sheet 2 (Solutions), Sheet 3 (Solutions), Sheet 4 (Solutions), Sheet 5 (Solutions),
Sheet 6 (Solutions), Sheet 7 (Solutions), Sheet 8 (Solutions), Sheet 9 (Solutions), Sheet 10 (Solutions),
Sheet 11 (Solutions), Sheet 12 (Solutions), Sheet 13 (Solutions).
2022-2: Multivariable Calculus (MAT023).
2022-1: Linear Algebra (MAT210). Professor: Michael Karkulik.
Sheet 1 (Solutions), Sheet 2 (Solutions), Sheet 3 (Solutions), Sheet 4 (Solutions), Sheet 5 (Solutions),
Sheet 6 (Solutions), Sheet 7 (Solutions), Sheet 8 (Solutions), Sheet 9 (Solutions), Sheet 10 (Solutions),
Sheet 11 (Solutions), Sheet 12 (Solutions), Sheet 13 (Solutions), Sheet 14 (Solutions), Sheet 15 (Solutions).
2022-1: Introduction to Calculus (MAT021).
2021-2: Multivariable Calculus II (MAT024).
2021-2: Multivariable Calculus (MAT023).
2021-1: Multivariable Calculus II (MAT024).
2020-2: Differential & integral Calculus (MAT022).
2020-1: Algebra & Geometry (MAT060).