ECON4140 21V Mathematics 3: Differential equations, static and dynamic optimization

ECON4140 21V Mathematics 3: Differential equations, static and dynamic optimization

Course modules

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    Where to find teaching resources Where to find teaching resources
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  • External URL
    Teaching schedule at the semester page [not finalized; last updated Mar 5 with optimal control lecture videos] Teaching schedule at the semester page [not finalized; last updated Mar 5 with optimal control lecture videos]
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  • External URL
    2021 lectures: scanned notes & videos @ folk.universitetetioslo.no 2021 lectures: scanned notes & videos @ folk.universitetetioslo.no
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  • External URL
    2021 lectures: YouTube playlist (videos only) 2021 lectures: YouTube playlist (videos only)
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  • External URL
    2018 lecture notes folder 2018 lecture notes folder
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  • External URL
    More on phase diagrams: Indian Institute of Technology YouTube video 1 of 2 More on phase diagrams: Indian Institute of Technology YouTube video 1 of 2
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  • External URL
    More on phase diagrams: Indian Institute of Technology YouTube video 2 of 2 More on phase diagrams: Indian Institute of Technology YouTube video 2 of 2
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Seminar material

Seminar material
Module completed Module in progress Module locked
Seminar material 91809  
  • External URL
    Teaching material: compendium, old exams etc Teaching material: compendium, old exams etc
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    Seminar 1 Seminar 1
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    Seminar 1 video solutions Seminar 1 video solutions
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    Seminar 2 Seminar 2
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    Sem#2 solutions sketches Sem#2 solutions sketches
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    Seminar 3 Seminar 3
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    Sem#3 solutions Sem#3 solutions
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    Seminar 4 Seminar 4
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    Sem#4: Problem 6-01(b) walked through more closely (from 2020, with audio comments) Sem#4: Problem 6-01(b) walked through more closely (from 2020, with audio comments)
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    Sem#4: Problem 6-10 walkthrough from 2020 - with an applications note Sem#4: Problem 6-10 walkthrough from 2020 - with an applications note
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    Sem#4: Problem 7-01 (from 2020) Sem#4: Problem 7-01 (from 2020)
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    Sem#4: Problem 7-02 (from 2020) Sem#4: Problem 7-02 (from 2020)
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    Sem#4: video (from 2020) of Exam 2008 1(d) and the slope of the convergent path. Sem#4: video (from 2020) of Exam 2008 1(d) and the slope of the convergent path.
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    Sem#4: The linear algebra problem Sem#4: The linear algebra problem
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    Sem#4: The remaining Sem#4: The remaining
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    Seminar 5 Seminar 5
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    Sem#5: 7-05 with video (from 2020) Sem#5: 7-05 with video (from 2020)
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    Sem#5: 7-06 (from 2020) Sem#5: 7-06 (from 2020)
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    Sem#5: 8-01 (from 2020) Sem#5: 8-01 (from 2020)
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    Sem#5: 8-06 (from 2020 corrected 2021) Sem#5: 8-06 (from 2020 corrected 2021)
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    Seminar 6 Seminar 6
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    Sem#6: The phase diagrams Sem#6: The phase diagrams
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    Sem#6: The 8-0* -> optimal control problems. Sem#6: The 8-0* -> optimal control problems.
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    Sem#6: 9-01 Sem#6: 9-01
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    Sem#6: 9-05 Sem#6: 9-05
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    Sem#6: that text problem Sem#6: that text problem
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    Seminar 7 Seminar 7
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    Sem#7: 9-12 Sem#7: 9-12
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    Sem#7: 9-17 Sem#7: 9-17
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    Sem#7 more solutions [to be updated?] Sem#7 more solutions [to be updated?]
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    Seminar 8 Seminar 8
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    Sem#8 solutions Sem#8 solutions
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    Seminar 9 Seminar 9
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    Sem#9: Answers to the "Convexity/concavity" section Sem#9: Answers to the "Convexity/concavity" section
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  • Attachment
    Sem#9: Mihai's notes Sem#9: Mihai's notes
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    Seminar 10 Seminar 10
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    Sem#10: brief hints & a clarification Sem#10: brief hints & a clarification
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  • Attachment
    Sem#10: Mihai's notes Sem#10: Mihai's notes
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    Seminar 11 will be a pre-recorded extra [problems updated!] - and then a live Seminar 12 Seminar 11 will be a pre-recorded extra [problems updated!] - and then a live Seminar 12
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    Seminar 12 Seminar 12
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    Sem#12: The quasiconcavity/quasiconvexity problem Sem#12: The quasiconcavity/quasiconvexity problem
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    Sem#12: exam problems including the ones adapted from the ECON5150 exams (updated again May 14th) Sem#12: exam problems including the ones adapted from the ECON5150 exams (updated again May 14th)
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    Sem#12: Trying to clarify that discounting in the "5150" problem & related Sem#12: Trying to clarify that discounting in the "5150" problem & related
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    To do after seminars: "recommended" exam sets To do after seminars: "recommended" exam sets
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Pre-recorded lectures walkthrough

Pre-recorded lectures walkthrough
Module completed Module in progress Module locked
Pre-recorded lectures walkthrough 95700  
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    Calculus of variations & optimal control videos Calculus of variations & optimal control videos
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  • Page
    Convex sets, convex/concave functions: motivation Convex sets, convex/concave functions: motivation
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  • Page
    Convex sets, (quasi)-concave functions & friends: order & first lecture "19" [updated with extra pages] Convex sets, (quasi)-concave functions & friends: order & first lecture "19" [updated with extra pages]
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    Convexity/(quasi-)concavity second lecture "20": criteria for (quasi-)concavity Convexity/(quasi-)concavity second lecture "20": criteria for (quasi-)concavity
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    Convexity/(quasi-)concavity start of third lecture: C1 criteria and beyond Convexity/(quasi-)concavity start of third lecture: C1 criteria and beyond
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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    Convexity/(quasi-)concavity and nonlinear programming: the rest Convexity/(quasi-)concavity and nonlinear programming: the rest
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
  • Page
    Bernoulli diff.eq. & double integrals Bernoulli diff.eq. & double integrals
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
 
minimum score must view must submit must contribute