Please, visit the Course Moodle

This year

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

• 10 homeworks = 10x3 = 30 pts;
• midterm = 20 pts;
• final exam = 25 + 25 = 50 pts.

You need to

• get at least 18 homework points (and get credit from the subject)
• and 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 you can find in Course Moodle

Tables and lists

Examples and Exercises

• Khan academy - a lot of videos with examples, methods and applications.
• Analysis textbook by Hughes-Hallet et al.
• HELM Workbooks

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
• P. Habala
• A. Herrero
• L. Battaia

Lagrange multipliers

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

Local Extrema

• Evan Dummit
• P. Habala
• Sergei Shabanov
• Frederick Tsz-Ho Fong

Implicit function

• A. Pilkington
• Calculus - Early Transcendentals (Stewart)
• E. N. Reyes
• Newcastle University
• P. Habala
• J. Němcová
• Georgia State University

Chain rule

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

Partial derivatives, hyperplanes

• http://www2.gcc.edu/
• P. Habala - exercise sheet
• P. Habala - solution sheet
• 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)
• Gradient + directional derivatives

Limits and continuity

• https://opentextbc.ca/
• Houston County High
• Walter Schreiner
• Antony Foster

Properties of Rⁿ

• Al Shenk
• Distance in R3
• Distance in R2

Domain, Contours and graphs

• D. Velichová
• Paul's Online Notes
• P. Kreml (in Czech)
• Hughes Hallet
• Houston County High
• sfu.ca
• Al Shenk

Linear Algebra

Definiteness

• GILBERT STRANG

Rank, Linear dependency

• Yufei Taoi
• Peeyush Chandra
• J. M. Belk
• Randall R Holmes
• Steve Russ
• M. Belk
• Franz Lemmermeyer
• Heather Moon - fabulous examples of vector spaces and its applications

Determinant

• L. Zalabová - jcu.cz
• Scott Pike - mesacc.edu
• 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 ofLinear Equations
• Systems of Linear Equations - J. Belk
• Systems of equations and Matrices www.pearsonhighered.com