Numerical methods 2022-II

Dr. Isaac CAICEDO-CASTRO

Ph.D. (Univ. Grenoble Alpes), Ph.D. (Unal), M.Sc. (Uniandes), B.Sc. (UPB)

Professor at the University of Córdoba

Topics:

  • Introduction, approximations, and computer arithmetic

  • Solving nonlinear and linear equations

  • Interpolation

  • Numerical integration

  • Solving ordinary differential equations

  • Numerical optimization, data fitting, and dimensionality reduction

Announcement

  • Welcome to 411094, 2022-II

  • Click here to join the monthly virtual lecture through Google Meet

  • I kindly thank you in advance for taking the following survey by clicking here

  • (For Montería students) Submit the solution to the first exercise with the Bisection Method by clicking here

  • If you are part of the Lorica students' community, you ought to watch this video. Then you must take the following test. The deadline is due September 22th at 5:00 PM.

  • (For Montería students) Take the following test. Considering the strike is over and the academic calendar hasn't been updated, the hard deadline is due October 10th at midnight.

  • (For Montería students) You ought to watch the following videos: 1/2 and 2/2.

  • (For Montería students) Once you've watched all the previous videos, you must solve the following exam. The deadline is flexible because of the strikes at the University. Anyway, try to solve it before Sunday. Have fun!! Considering the strike is over and the academic calendar hasn't been updated, the hard deadline is due October 10th at midnight.

  • (For Lorica students) You ought to watch the following videos: 1/3, 2/3, and 3/3.

  • (For Lorica students) Once you've watched all the previous videos, you must solve the following exam. The deadline is flexible because of the strikes at the University. Anyway, try to solve it before Sunday. Have fun!! Considering the strike is over and the academic calendar hasn't been updated, the hard deadline is due October 10th at midnight.

  • (For Lorica students) Using all the numerical methods you've known so far, you must solve the following nonlinear equation presented in this form. Don't forget to share and submit the link to the notebook with the solution. Considering the strike is over and the academic calendar hasn't been updated, the hard deadline is due October 10th at midnight.

  • Considering the strike is over and the academic calendar hasn't been updated, the hard deadline for submitting all your assignments is due October 10th at midnight.

  • (For Lorica students) You must watch the following videos (1/2 and 2/2) because today (October 13th) there's no Internet service at the Lorica campus. You ought to take notes about doubts, which the Professor will clarify at the next meeting at the campus.

  • (For Lorica students) You can check out your grades corresponding to the first part of the course by clicking here.

  • (For Montería students) You must submit your notebook to solve equation systems through Gauss-Seidel method by clicking here.

  • (For Montería students) You must submit your notebook to solve equation systems through Jacobi method by clicking here.

  • (For Montería students) You must submit your notebook to solve the following exam.

  • (For Lorica students) You must submit your notebook to solve the following exam.

  • (For Montería students) You must submit your notebook where you maximize a function using the False Position method by clicking here.

  • (For Montería students) You can check out your grades corresponding to the first part of the course by clicking here.

  • (For Montería students) You must submit your notebook where you minimize a function using the bisection method by clicking here.

  • (For Montería students) You must submit your notebook where you minimize the function given in class by using the bisection method by clicking here.

  • (For Montería students) You must submit your notebook to solve the equation system given in class by clicking here.

  • (For Montería students) You must submit your notebook to solve the assignment through Lagrange Interpolation method by clicking here.

  • (For Montería students) You must submit your notebook to solve the assignment through Newton interpolation method by clicking here.

  • (For Lorica students) you must submit your notebook to find the best angle to maximize the cannonball distance by clicking here.

  • (For Montería students) You must submit your notebook to define the function sine and cosine by adopting Taylor polynomial interpolation. Click here to submit your notebook.

  • (For Lorica students) You must submit your notebook where you compute sine and cosine by using Taylor polynomial interpolation. Click here to submit your notebook. The deadline is due December 2nd at midnight.

  • (For Montería students) You must submit your notebook where you maximize the shoot cannonball distance by choosing the best angle through the Newton method (this is the numerical method, the solution can be found through the analytical approach, though). Click here to submit your notebook. The deadline is due December 7th at noon (keeping our deal 😉).

  • (For Lorica students) You can check out your grades corresponding to the second part of the course by clicking here.

  • (For Montería students) you can check out your grades corresponding to the second part of the course by clicking here.

  • You all must watch the following lectures before the next one: 1/3 , 2/3 , and 3/3

  • For the next class, taking into account the previous three videos, you folks must solve the exercises in the following document (mandatory). You must explain the solutions in the next class.


Office hours

Fridays, 3:00 PM - 5:00 PM, Telecommunications and Systems Department bureau. You must request an appointment in advance by email, in the message you ought to describe your doubt in detail. If you don't live in Montería, I'll reply with a Google Meet link. In the subject, you must indicate the course name, your group, and the subject itself, otherwise, I might ignore the message.

Evaluation

  • The course is split into three parts, in everyone, each coursework weighs the same.

  • The coursework might be assignments or exams

  • Late coursework won't be accepted

Resources