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

This year

Consultations

Course completition requirements

1. All lectures will be given online. The invitation to Zoom is sent by mail. You may also record the lectures if you want.
2. On Sebastian's webpage you find the slides of the beamer presentation.
3. Each week you will be given some exercises that we will correct for you. The points of the exercises will be a part of the exam.
4. The final exam contains of 30 Points for exercises and 20 points from the mid-term exam and 50 Points of the final exam.
5. You pass the exam if you have more than 50 points AND a minimum of 25 points in the final exam. For an 1 you need 80 points, for a 2 you need 65 points.
6. Both mid-term and final exam are oral exams. Midterm 15 minutes final exam 30 minutes.

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

Sequences

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

Links

• Lecturer Sebastian Schwarzacher