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Course Schedule – MATH 1010 There are 41 one-hour sessions in a MWF regular semester course. For Math 1010, the following is a possible schedule using the text Mathematical Ideas by Miller, Heeren, & Hornsby, 12th Edition. Sequence and amount of time per topic may vary. Topics Chapter 1 Problem Solving and Chapter 2 Set Theory Session 1 Orientation; Problem Solving Session 2 Solving Problems by Inductive Reasoning - section 1.1 Session 3 An Application of Inductive Reasoning: Number Patterns – section 1.2 Session 4 Strategies for Problem Solving – section 1.3 Session 5 Optional selection –See choices below Session 6 Basic Concepts of Set Theory – Symbols and Terminology - section 2.1 Session 7 Venn Diagrams and Subsets – section 2.2 Session 8 Set Operations and Cartesian Products – section 2.3 Session 9 Optional selection –See choices below Session 10 Optional selection –See choices below Session 11 Test 1 Chapter 3 Logic and Chapter 10 Counting Session 12 Statements and Quantifiers – section 3.1 Session 13 Truth Tables and Equivalent Statements – section 3.2 Session 14 The Conditional, Converse, Inverse and Contrapositive – section 3.3 and 3.4 Section 15 Analyzing Arguments with Euler Diagrams – section 3.5 Section 16 Optional selection –See choices below Session 17 Optional selection –See choices below Section 18 Counting by Systematic Listing – section 10.1 Session 19 Using the Fundamental Counting Principle – section 10.2 Session 20 Using Permutations and Combinations – section 10.3 Session 21 Counting Problems Involving “Not” and “Or” – section 10.5 Session 22 Optional selection –See choices below Session 23 Optional selection –See choices below Session 24 Test 2 Chapter 11 Probability and Chapter 12 Statistics Session 25 Session 26 Section 27 Session 28 Session 29 Session 30 Session 31 Session 32 Basic Concepts – section 11.1 Events Involving “Not” and “Or” – Section 11.2 Conditional Probability; Events Involving “And” – section 11.3 Expected Value – section 11.5 Optional selection –See choices below Optional selection –See choices below Visual Displays of Data – section 12.1 Measures of Central Tendency – section 12.2 Session 33 Measures of Dispersion – section 12.3 Session 34 Measures of Position – section 12.4 Session 35 Optional selection –See choices below Session 36 Optional selection –See choices below Session 37 Test 3 Chapter 13 Mathematics of Finance Session 38 Time Value of Money – section 13.1 Session 39 Truth in Lending – Section 13.3 Session 40 Home Ownership – Amortization of Loans – section 13.4 Session 41 Financial Investments – section 13.5 Session 40 Optional selection –See choices below Session 41 Test 4 NOTE: The sections listed above will constitute the sections from which a departmental final exam will be generated. NOTE: Optional selections are made at the instructor’s discretion from I, II, or III. NOTE: Exams and quizzes must not be the only forms of assessment for this course, so the instructor is required to select a topic for investigation, a group project, an individual project, etc. I. *Collaborative Investigations. *Collaborative Investigation: Discovering Patterns in Pascal’s Triangle *Collaborative Investigation: Surveying the Members of Your Class *Collaborative Investigation: Logic Puzzles *Collaborative Investigation: Solving a Traveling Salesman Problem *Collaborative Investigation: Finding Empirical Values of Pi *Other Investigations or projects II. **Optional Topics or Sections to Cover. **Using Pascal’s Triangle – section 10.4 **Binomial Probability – section 11.4 **Extension: Estimating Probabilities by Simulation – Chapter 11 **Extension: Regression and Correlation – Chapter 11 **Select topics from Graph Theory – Chapter 15 **Select topics from Voting and Apportionment – Chapter 16 III. ***Time for in-class collaborative student work, in-class student board work, student presentations, chapter summaries/reviews, and/or additional exams.