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.