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 exam.

Tables and lists

Examples and Exercises

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

Applets

• List of mathematical analysis applets

Asymptotes

• Kuben - Differential Calculus
• Ignou university - Applicatons of differential calculus

Concavity + Convexity

• http://math.hws.edu/~mitchell/Math130F12/tufte-latex/Lecture32.pdf
• http://math.ucsd.edu/~ashenk/Math20A/Section_3_3.pdf

Extrema

• https://www.pearsonhighered.com/
• https://liavas.net/courses/calc1/files/Inc_dec_1st_der_test.pdf
• http://math.hws.edu/~mitchell/Math130F12/tufte-latex/Lecture31.pdf
• http://www.opentextbookstore.com/calc/3_5.pdf - Applications

L'Hospital rule

• https://web.auburn.edu/holmerr/1617/Textbook/lhopital-screen.pdf
• https://www.math.cuhk.edu.hk/course_builder/1415/math1010e/1010E%20Week%208.pdf
• http://math.cmu.edu/~bkell/lhopital.pdf - A lot of examples with answer (but no complet solution)
• http://math.hws.edu/~mitchell/Math131S13/tufte-latex/lhopital.pdf
• http://www.csun.edu/~hcmth031/mistakes.pdf - Common mistakes

Derivatives

• https://www.sbcc.edu/
• https://www.math.wisc.edu/~angenent/Free-Lecture-Notes/free221.pdf
• https://intl.siyavula.com/
• math.stackexchange.com - find mistakes in computing with derivative definition

Function limits

• 59957_CH02_CalcCONFIRMING.pdf
• Limits and an Introductionto Calculus
• http://www.csun.edu/~ama5348/calculus/presentations/math150a_2_8video.pdf
• Paul Online
• math.dartmouth.edu/
• http://www2.gcc.edu/
• http://samples.jbpub.com

Functions

• https://math.usu.edu/rheal/online1050/Precalculus/Section_2.6.pdf
• Stewart Calculus
• https://www.superprof.co.uk/ - One sided derivatives
• https://www.math.cuhk.edu.hk/
• http://www.ijrerd.com/ - Theorems on derivatives applying
• https://math.libretexts.org/

Introduction

• Discrete Mathematics - O. Levin
• Mathematical Logic
• Sets - Tomastik, Epstein
• Mathematical logic exercises - C. Ghidini, L. Serafini
• Logic - propositional equivalences
• Logic - A. Mostafazadeh
• teachoo.com - image of de Morgan laws