FA23: FINITE MATHEMATICS: 2242

FA23: FINITE MATHEMATICS: 2242

Course Modules

Introduction and Important Course Information

Introduction and Important Course Information
Module Completed Module In Progress Module Locked
Introduction and Important Course Information 4106742  
  • Context Module Sub Header

    The Edfinity link, in the left margin, will take you to your WeBWorK homework.

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  • Attachment
    FALL 2023 M118 - Departmental Syllabus FALL 2023 M118 - Departmental Syllabus
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  • Attachment
    2023 - Fall - Syllabus 2023 - Fall - Syllabus
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  • Attachment
    Study Guide Study Guide
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  • Page
    The Finite Show The Finite Show
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  • Page
    Practice Exams Practice Exams
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  • Attachment
    Grade Calculation and Exploration.xlsx Grade Calculation and Exploration.xlsx
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Aug 21 - Aug 25, Sets, Partitions, Venn Diagrams

Aug 21 - Aug 25, Sets, Partitions, Venn Diagrams
Module Completed Module In Progress Module Locked
Aug 21 - Aug 25, Sets, Partitions, Venn Diagrams 4106743  
  • Attachment
    Lecture problems for sections 1.1 to 1.3 Lecture problems for sections 1.1 to 1.3
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  • Attachment
    Ex 2, from the above notes, presented here to correct for an arithmetic error made during the 9:10am lecture on Wed Ex 2, from the above notes, presented here to correct for an arithmetic error made during the 9:10am lecture on Wed
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Aug 28 - Sept 1, Tree Diagrams, Multiplication Principle, Permutations, Combinations

Aug 28 - Sept 1, Tree Diagrams, Multiplication Principle, Permutations, Combinations
Module Completed Module In Progress Module Locked
Aug 28 - Sept 1, Tree Diagrams, Multiplication Principle, Permutations, Combinations 4110758  
  • Attachment
    Lecture problems for section 1.4 Lecture problems for section 1.4
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for section 2.2 Lecture problems for section 2.2
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  • Attachment
    Lecture problems for section 2.3 Lecture problems for section 2.3
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Sept 4 - Sept 8, Introduction to Probability

Sept 4 - Sept 8, Introduction to Probability
Module Completed Module In Progress Module Locked
Sept 4 - Sept 8, Introduction to Probability 4106744  
  • Context Module Sub Header

    Monday is Labor Day. Our class will not meet on Monday Sept 4

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for section 2.1 Lecture problems for section 2.1
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  • Attachment
    Probability - Tossing Dice Probability - Tossing Dice
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  • Attachment
    Probability - Standard Deck of Cards Probability - Standard Deck of Cards
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  • Attachment
    Lecture problems for section 2.4 Lecture problems for section 2.4
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Sept 11 - Sept 15, Continue with the topic of Probability

Sept 11 - Sept 15, Continue with the topic of Probability
Module Completed Module In Progress Module Locked
Sept 11 - Sept 15, Continue with the topic of Probability 4110720  
  • Page
    Practice Exams Practice Exams
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Context Module Sub Header

    Wednesday: Exam 1 (First Attempt) given at usual class time.

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for section 3.1 Lecture problems for section 3.1
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Sept 18 - Sept 22, Continue with the topic of Probability

Sept 18 - Sept 22, Continue with the topic of Probability
Module Completed Module In Progress Module Locked
Sept 18 - Sept 22, Continue with the topic of Probability 4110690  
  • Attachment
    Lecture problems for section 3.2 Lecture problems for section 3.2
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Context Module Sub Header

    Wednesday: Exam 1 (Second Attempt) given at usual class time.

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for sections 3.3 Lecture problems for sections 3.3
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Sept 25 - Sept 29, Stochastic Processes, Random Variables, Density Functions

Sept 25 - Sept 29, Stochastic Processes, Random Variables, Density Functions
Module Completed Module In Progress Module Locked
Sept 25 - Sept 29, Stochastic Processes, Random Variables, Density Functions 4106745  
  • Attachment
    Lecture problems for sections 3.4 Lecture problems for sections 3.4
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for section 4.1 Lecture problems for section 4.1
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Oct 2 - Oct 6 (plus Sat Oct 7), Bernoulli Processes and Exam Review

Oct 2 - Oct 6 (plus Sat Oct 7), Bernoulli Processes and Exam Review
Module Completed Module In Progress Module Locked
Oct 2 - Oct 6 (plus Sat Oct 7), Bernoulli Processes and Exam Review 4110686  
  • Page
    Practice Exams Practice Exams
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Context Module Sub Header

    Exam 2 is our Midterm Exam and will be given as an IN-PERSON exam on Saturday, October 7 from 8:00 - 9:30 AM. Exam location will be published a few days prior to the exam.

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Oct 9 - Oct 13, Expected Value of a Random Variable

Oct 9 - Oct 13, Expected Value of a Random Variable
Module Completed Module In Progress Module Locked
Oct 9 - Oct 13, Expected Value of a Random Variable 4110684  
  • Attachment
    Lecture problems for sections 4.2 and 4.3 Lecture problems for sections 4.2 and 4.3
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  • Context Module Sub Header

    Friday is our Fall Break. Our class will not meet on Friday Oct 13

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Oct 16 - Oct 20, Systems of Linear Equations and Matrices

Oct 16 - Oct 20, Systems of Linear Equations and Matrices
Module Completed Module In Progress Module Locked
Oct 16 - Oct 20, Systems of Linear Equations and Matrices 4110683  
  • Attachment
    Lecture problems for section 5.1 Lecture problems for section 5.1
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 5.2 Lecture Problems for section 5.2
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 5.3 Set I Lecture Problems for section 5.3 Set I
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Oct 23 - Oct 27, Systems of Linear Equations and Matrices Continued

Oct 23 - Oct 27, Systems of Linear Equations and Matrices Continued
Module Completed Module In Progress Module Locked
Oct 23 - Oct 27, Systems of Linear Equations and Matrices Continued 4106746  
  • Attachment
    Lecture Problems for section 5.3 Set II Lecture Problems for section 5.3 Set II
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  • Attachment
    Lecture Problems for sections 6.1 and 6.2.pdf Lecture Problems for sections 6.1 and 6.2.pdf
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Oct 30 - Nov 3, Continue with the topic of Matrices

Oct 30 - Nov 3, Continue with the topic of Matrices
Module Completed Module In Progress Module Locked
Oct 30 - Nov 3, Continue with the topic of Matrices 4110682  
  • Attachment
    Lecture Problems for sections 6.1 and 6.2 Lecture Problems for sections 6.1 and 6.2
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 6.3 Lecture Problems for section 6.3
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Nov 6 - Nov 10, Introduction to Markov Chains

Nov 6 - Nov 10, Introduction to Markov Chains
Module Completed Module In Progress Module Locked
Nov 6 - Nov 10, Introduction to Markov Chains 4106747  
  • Page
    Practice Exams Practice Exams
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Context Module Sub Header

    Wednesday: Exam 3 (First Attempt) given at usual class time.

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 8.1 Lecture Problems for section 8.1
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Nov 13 - Nov 17, Continue with the topic of Markov Chains

Nov 13 - Nov 17, Continue with the topic of Markov Chains
Module Completed Module In Progress Module Locked
Nov 13 - Nov 17, Continue with the topic of Markov Chains 4106748  
  • Attachment
    Lecture Problems for section 8.1 Lecture Problems for section 8.1
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Context Module Sub Header

    Wednesday: Exam 3 (Second Attempt) given at usual class time.

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 8.2 Lecture Problems for section 8.2
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Context Module Sub Header

    Class will not meet on Nov 20 - Nov 24 for Thanksgiving Break

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Nov 27 - Dec 1, Continue with the topic of Markov Chains

Nov 27 - Dec 1, Continue with the topic of Markov Chains
Module Completed Module In Progress Module Locked
Nov 27 - Dec 1, Continue with the topic of Markov Chains 4110653  
  • Attachment
    Lecture Problems for section 8.2.pdf Lecture Problems for section 8.2.pdf
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 8.3 A.pdf Lecture Problems for section 8.3 A.pdf
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture Problems for section 8.3 B.pdf Lecture Problems for section 8.3 B.pdf
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for section 8.3 C.pdf Lecture problems for section 8.3 C.pdf
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
  • Attachment
    Lecture problems for section 8.3 D.pdf Lecture problems for section 8.3 D.pdf
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Dec 4 - Dec 8, Review for final exam

Dec 4 - Dec 8, Review for final exam
Module Completed Module In Progress Module Locked
Dec 4 - Dec 8, Review for final exam 4110651  
  • Page
    Practice Exams Practice Exams
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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

Dec 11 - Dec 15, Final Exam Week

Dec 11 - Dec 15, Final Exam Week
Module Completed Module In Progress Module Locked
Dec 11 - Dec 15, Final Exam Week 4110650  
  • Context Module Sub Header

    Exam 4 is our final exam will be given as an IN-PERSON exam on Thursday, December 14 from 3 to 5pm. Exam location will be published a few days prior to the exam.

    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   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 done Must mark this module item done in order to complete Marked done 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
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