If you have some special needs, please, let us know.

This year

Consultations

Course completition requirements

To complete the course you need to solve some homeworks:

• 1st homework on inequotions = 6 points;
• 2nd homework on functions = 6 points;
• extra creative homework = 4 points;
  just choose Your way and let me know. For example:
  • You can choose anything, which helps the community - make some Math wiki page better (English or any other language), make subtitles for some Khan Academy Math video (arbitrary language), help some child with Math;
  • Or be creative: Make a short Math video for Your classmates, make a nice Math cheat sheet for Your classmates, write a song about some Math topic (which helps us learn some objects).
  • Anything else;

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

Trigonometric functions

• https://tutorial.math.lamar.edu/
  
• https://www.dm.unibo.it/~fioresi/2018/gen/lec4.pdf
  

Polynomials + rational functions

• http://www.opentextbookstore.com/
  

Factoring polynomials - rational roots test

• Chilimath - rational roots tests
  
• www.classzone.com
  

Long division - dividing polynomials

• Mathcentre
  
• Paul's Online Notes
  
• www.tamdistrict.org
  
• http://www.hunter.cuny.edu
  
• www.alamo.edu
  
• http://websites.rcc.edu/magana/files/2015/06/Section-4.3.pdf
  
• 
  

System of (nonlinear) equations

• P. Habala
  
• northeaster.edu - Multivariable optimization
  
• https://www.math.ubc.ca/~feldman/m105/maxmin.pdf
  
• https://tutorial.math.lamar.edu/problems/calciii/lagrangemultipliers.aspx
  
• LibreTExts - Calculus 3 - Lagrange multipliers
  

Absolute value + inequalities

• https://people.ucsc.edu/~miglior/
  
• wl.apsva.us
  
• http://msenux2.redwoods.edu/IntAlgText/chapter4/chapter4.pdf
  

Rational inequalities + quadratic inequalities

• Cuemath.com
  
• muncysd.org
  
• analyzemath.com
  

Rational inequalities

• http://www.phschool.com
  
• R. Porter
  
• Paul's Online Notes
  
• www.gvillepublicschooldistrict.com
  
• Applications examples