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 / Basic Concepts – section 11.1
Session 26 / Events Involving “Not” and “Or” – Section 11.2
Section 27 / Conditional Probability; Events Involving “And” – section 11.3
Session 28 / Expected Value – section 11.5
Session 29 / Optional selection –See choices below
Session 30 / Optional selection –See choices below
Session 31 / Visual Displays of Data – section 12.1
Session 32 / 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 quizzesmust not be the only forms of assessmentfor this course, so the instructor is required to select a topic for investigation, a group project, an individual project, etc.

  1. *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

  1. **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

  1. ***Time for in-class collaborative student work, in-class student board work, student presentations, chapter summaries/reviews, and/or additional exams.