Skip to main content
MyCourses MyCourses
  • Schools
    School of Arts, Design, and Architecture (ARTS) School of Business (BIZ) School of Chemical Engineering (CHEM) –sGuides for students (CHEM) – Instructions for report writing (CHEM) School of Electrical Engineering (ELEC) School of Engineering (ENG) School of Science (SCI) Language Centre Open University Library Aalto university pedagogical training program UNI (exams) Sandbox
  • CORONAVIRUS INFO
    Koronavirus - tietoa opiskelijalle Coronavirus - information for students Coronavirus - information för studerande Corona help for teachers
  • Service Links
    MyCourses - Instructions for Teachers - Teacher book your online session with a specialist - Digital tools for teaching - Personal data protection instructions for teachers - Instructions for Students - Workspace for thesis supervision Sisu Into portal for students Courses.aalto.fi Library Services - Resourcesguides - Imagoa / Open science and images IT Services Campus maps - Search spaces and see opening hours Restaurants in Otaniemi ASU Aalto Student Union Aalto Marketplace
  • ALLWELL?
    Study Skills Support for Studying Starting Point of Wellbeing About AllWell? study well-being questionnaire
  •   ‎(en)‎
      ‎(en)‎   ‎(fi)‎   ‎(sv)‎
  • Toggle Search menu
  • Hi guest! (Log in)

close

Can not find the course?
try also:

  • Sisu
  • Courses.aalto.fi

MS-A0211 - Differential and Integral Calculus 2, 12.01.2021-22.02.2021

This course space end date is set to 22.02.2021 Search Courses: MS-A0211

  1. Home
  2. Courses
  3. School of Science
  4. department of...
  5. ms-a0211 - di...
 
Syllabus

General

  • General

    General

    • Welcome to Differential and Intergral Calculus 2


      Content: Functions of several variables and their derivatives, optimization of functions with several variables, double and triple integrals.

      Lecturer: David Radnell (david.radnell@aalto.fi)

      Course assistants: 

      • H01- Julian Weigt (julian.weigt@aalto.fi ) - Head Assistant
      • H02 - Afrin Hossain (afrin.hossain@aalto.fi)
      • H03 - Tuomas Pyhäranta (tuomas.pyharanta@aalto.fi)
      • H04 - Qingxin Yang (qing.yang@aalto.fi)

      Registration: oodi.aalto.fi. If the exercise groups are full, please email the lecturer.

      Resources: Please see the "Materials" for recommended textbooks (most of which are open access), some computer code, and a FIN-ENG-SWE math dictionary.

      Laskutupa: Free math tutoring center. Follow the link for a schedule and other details.

      Assignments: See "Assignments".

      Grading policy: The grade for the course will be determined by

      Max{H*35% + M*15% + F*50%  ,  H*35 + F*65  ,  M*15%+F*85%  ,  F*100%}

      where

      H = Homework, M = midterm exam/quizzes/participation, F = Final exam on 22.02.2021

      Retake exams: For the retake exams after period IV and V your exercise points will be counted as in the above formula H*35 + F*65.

      Attendance: While not compulsory, it can not be stressed strongly enough that attendance of lecture and exercise sessions is extremely important as there are many new concepts in this course.

    • Zulip Chat discussion forum


      • This forum will be used in an essential way during lectures, exercises, and for other disucssion.
      • https://ms-a0211.zulip.cs.aalto.fi  (log in with your Aalto credentials. Let me know immediately if you have access trouble)



    • Lectures


      • Live lectures will be given over zoom.  Recording of the lectures will be made available.
      • See the Lecture section for details.
      • The Zulip chat forum may be used simultaneously
      • A skeleton of the notes will be provided before each lecture and the completed notes will then be provided after the lecture.
      This at least is the plan. Things may naturally evolve as we go along.



    • Coures/Lecture Outline


      Here is the approximate schedule in weeks

      1. Parametric equation in R^2 and R^3, tangent vectors and arc length. Functions of 2 or 3 variables. Sketching surfaces. Level curves and level surfaces.
      2. Level curves, Limits and continuity is 2 variables. Partial derviatives. Chain rule. Tangent planes.
      3. Linear approximation and differentials. Differentiability. Directional derivatives. The gradient vector. The 2nd derivative test for classifying local extrema.
      4. Absolute extrema on closed bounded domains. The method of Lagrange multipliers. Jacobians. Newton's Method. Taylor polynomials.
      5. Double integrals. Change of variables. Polar coordinates. Applications (e.g. to center of mass).
      6. Triple integrals in cartesian, cylindrical, and spherical coordinates.

    • Laskutupa (math help center)


      Lasutupa is Aalto's math tutoring center that is run by the Department of Mathematics and Systems Analysis.
      Feel free to ask the tutors there for help any time. Since it's online you can post your questions any time.

      https://math.aalto.fi/en/studies/laskutupa

    • icon for activity ForumAnnouncements Forum
    • icon for activity ForumGeneral discussion Forum

Course home

Course home

Next section

Materials►
Skip Upcoming events
Upcoming events
Loading There are no upcoming events
Go to calendar...
  • MS-A0211 - Differential and Integral Calculus 2, 12.01.2021-22.02.2021
  • Sections
  • General
  • Materials
  • Lectures
  • Exercise sessions
  • Exam info
  • Exam (31.5.2021, 9:00 - 13:00)
  • Home
  • Calendar
  • Learner Metrics

Aalto logo

Tuki / Support
  • MyCourses help
  • mycourses(at)aalto.fi
Palvelusta
  • MyCourses rekisteriseloste
  • Tietosuojailmoitus
  • Palvelukuvaus
  • Saavutettavuusseloste
About service
  • MyCourses protection of privacy
  • Privacy notice
  • Service description
  • Accessibility summary
Service
  • MyCourses registerbeskrivining
  • Dataskyddsmeddelande
  • Beskrivining av tjänsten
  • Sammanfattning av tillgängligheten

Hi guest! (Log in)
  • Schools
    • School of Arts, Design, and Architecture (ARTS)
    • School of Business (BIZ)
    • School of Chemical Engineering (CHEM)
    • –sGuides for students (CHEM)
    • – Instructions for report writing (CHEM)
    • School of Electrical Engineering (ELEC)
    • School of Engineering (ENG)
    • School of Science (SCI)
    • Language Centre
    • Open University
    • Library
    • Aalto university pedagogical training program
    • UNI (exams)
    • Sandbox
  • CORONAVIRUS INFO
    • Koronavirus - tietoa opiskelijalle
    • Coronavirus - information for students
    • Coronavirus - information för studerande
    • Corona help for teachers
  • Service Links
    • MyCourses
    • - Instructions for Teachers
    • - Teacher book your online session with a specialist
    • - Digital tools for teaching
    • - Personal data protection instructions for teachers
    • - Instructions for Students
    • - Workspace for thesis supervision
    • Sisu
    • Into portal for students
    • Courses.aalto.fi
    • Library Services
    • - Resourcesguides
    • - Imagoa / Open science and images
    • IT Services
    • Campus maps
    • - Search spaces and see opening hours
    • Restaurants in Otaniemi
    • ASU Aalto Student Union
    • Aalto Marketplace
  • ALLWELL?
    • Study Skills
    • Support for Studying
    • Starting Point of Wellbeing
    • About AllWell? study well-being questionnaire
  •   ‎(en)‎
    •   ‎(en)‎
    •   ‎(fi)‎
    •   ‎(sv)‎