Topic outline

  • Welcome to Calculus 1!

    Course staff

    Lectures: Milo Orlich <milo.orlich@aalto.fi>

    Head TA: Luis Brummet <luis.brummet@aalto.fi>


    How each week works

    • Two lectures: Monday 10:15-12:00 and Wednesday 10:15-12:00.
    • Two exercise sessions (with time depending on your selected group).
    • STACK problems on MyCourses, which the system will automatically check for you before you submit. The deadline will also be on the Friday of that week.
    • A separate problem sheet, containing two kinds of exercises: warm-up problems that you work on during the sessions, and homework, which you need to submit by the Sunday of that week. Only the homework will count towards your final score.


    How to complete the course

    The exam after the course ends is mandatory. The weekly homework is not mandatory in theory, but it is highly recommended! Your final score will be based 100% on the exam, or 50% exam and 50% weekly homework, depending on which is better for you. More details on the assessment can be found here.


    Zulip

    Zulip is a sort of forum where you can send public and private messages. You are highly encouraged to discuss the problems there! You can earn bonus points by being active and helping others! Please use your Aalto email to register, and please write your name there in the same way it is written on MyCourses.

    Zulip link: coming soon


    Contents of the course week by week

    The course will approximately follow the plan in the table below. The references to the sections of the textbook are given with respect to its 7th edition. Some of the book sections listed below contain much more than what is actually covered in the lectures! The table has to be updated

     Week   Topic   Textbook   Lecture notes 
     8.-12.1   Derivatives 
    		  2.1-6 and 4.3-6 
    		  Chap. 1 
     15.-19.1   Sequences and series 
    		  9.1-3 and 9.5   Chap. 2 
     22.-26.1   Taylor polynomials 
     and 
     Taylor series 
    		  4.10 

     9.6-7 
    		  Chap. 3 
     29.1-2.2   Big O 

     Intro to integrals 
    		  4.10 

     5.3 and 5.5     		  3.6 

     4.1 
     5.-9.2  Integrals 

     Intro to diff. 
     equations     		  2.10, 5.1-6, 
     6.1-2 and 6.5 

     7.9     		  4.2-4

     5.1 
     2.-16.2   More on 
     diff. eqs. 

     (Complex numbers) 
    		  7.9, 3.7 

     Appendices
     1 and 2     		  5.2-4