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

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.

The aim is to get more than 50 points and get a nice grade. Especially:

• 91-100 -- A (excellent);
• 81-90 -- B;
• 71-80 -- C;
• 61-70 -- D;
• 51-60 -- E (passed);
• 0-50 -- F (did not pass).

The homeworks you can find in Moodle.

Please, enjoy the sample exam.

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

Asymptotes

• Kuben - Differential Calculus
• P. Habala
• Ignou university - Applicatons of differential calculus

Concavity + Convexity

• https://www.math.iupui.edu/~momran/m119/notes/sec41.pdf
• 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://mysite.science.uottawa.ca/phofstra/MAT1300/lecture09.pdf
• https://liavas.net/courses/calc1/files/Inc_dec_1st_der_test.pdf
• http://cda.mrs.umn.edu/~mcquarrb/teachingarchive/SUFE/HW/4.3.pdf
• http://math.hws.edu/~mitchell/Math130F12/tufte-latex/Lecture31.pdf
• http://www.opentextbookstore.com/calc/3_5.pdf - Applications
• http://webpages.ursinus.edu/myahdi/105files/105optimization.pdf - Optimization problems

L'Hospital rule

• https://web.auburn.edu/holmerr/1617/Textbook/lhopital-screen.pdf
• http://people.okanagan.bc.ca/clee/math112f10/M112_ExamplesLHopitalBoth_Fall_2010.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

• http://www.math.utah.edu/~wilson/
• https://www.sbcc.edu/
• https://www.math.wisc.edu/~angenent/Free-Lecture-Notes/free221.pdf
• https://www.math24.net/tangent-normal-lines/
• 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
• https://www.kentschools.net/leyring/files/2017/04/11.2-new.pdf

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
• Advanced Problems in Mathematics - S. Siklos
• Mathematical Logic
• Sets - Tomastik, Epstein
• Mathematical logic exercises - C. Ghidini, L. Serafini
• Logical statements - Hildebrand
• Logic - propositional equivalences
• Logic - A. Mostafazadeh
• Nate Gallup - proof of de Morgan laws
• teachoo.com - image of de Morgan laws