Please, visit the Moodle
How to register into Moodle

This year

Plan of the lessons

Consultations

Just send me an e-mail. Short questions we can handle by mail, longer by Zoom or personally.

Course completition requirements

During the semestr students complete various activities - and collect points. The maximum total number is 100 points. In particular

• homeworks = 30 pts;
• midterm = 15 pts;
• final exam = 25 + 30 = 55 pts.

You need to

• succesfully finish the course with a grade. Especially:
  • 90 < A ≤ 100 (excellent);
  • 80 < B ≤ 90;
  • 70 < C ≤ 80;
  • 60 < D ≤ 70;
  • 50 < E ≤ 60 (passed);
  • 0 < F ≤ 50 (did not pass).

The homeworks can be found in Moodle

Please, enjoy the sample .

Tables and lists

Examples and Exercises

• Khan academy - a lot of videos with examples, methods and applications.

Applets

• List of mathematical analysis applets

Definite integral

• https://www.mathcentre.ac.uk/
• Applications of Definite Integrals
• Whitman College
• http://www.opentextbookstore.com/
• Clayton Shonkwiler
• Calculus for Scientists I

Functions of multiple variable

Local Extrema

• Evan Dummit
• Paul's Online Notes
• A. Herrero
• L. Battaia
• Sergei Shabanov

Lagrange multipliers

• Evan Dummit
• J. Feldman
• Paul's Online Notes
• University of Waterloo
• Monroe Community College

Implicit function

• A. Pilkington
• Calculus - Early Transcendentals (Stewart)
• Georgia State University

Chain rule

• Al Shenk
• Book: Calculus (OpenStax)
• Paul's Online Notes

Partial derivatives, hyperplanes

• www.uoanbar.edu.iq
• A. Havens
• Gilbert Strang & Edwin “Jed” Herman
• Scott Surgent
• Math Insight - partial derivatives by definition
• E A Skelton
• UCD Mat 21C: Multivariate Calculus
• Openstax
• Book: Calculus (Apex)

Limits and continuity

• Antony Foster

Properties of Rⁿ

• Al Shenk

Domain, Contours and graphs

• D. Velichová
• Paul's Online Notes
• P. Kreml (in Czech)
• sfu.ca
• Al Shenk

Linear Algebra

Definiteness

Rank, Linear dependency

• Yufei Taoi
• Peeyush Chandra
• Randall R Holmes
• Franz Lemmermeyer

Determinant

• L. Zalabová - jcu.cz
• R. S. D. Thomas
• math.uwaterloo.ca/~jmckinno/
• http://teachers.dadeschools.net/rvancol/

Inverse matrix

• L. Zalabová - jcu.cz
• Inverse matrices (C. Mundy) -- especially the deduction of Inverse algorithm can be found on npage 200
• Inverse matrices - bumatematikozelders.com
• Systems of LinearEquations and Matrices
• Inverse matrix -- Patrick Dylan Zwick.

Matrix operations

• L. Zalabová - jcu.cz
• pearsonhighered.com
• Matrix Algebra and Applications - Charles Mundy-Castle

Systems of linear equations

• Systems of linear equations and matrices - bumatematikozelders.com
• MAT 123 Finite Mathematics
• Foundational Mathematics
• Systems of LinearEquations and Matrices
• Systems of Linear Equations - Beifang Chen
• Systems of equations and Matrices www.pearsonhighered.com