| Section | Title | Version date |
| Section 1 | Introduction:Thinking and communicating about mathematics | 9-4-16 |
| Section 2 | What do Mathematicians Study? | 10-1-16 |
| Section 3 | Universal Principles in Mathematics: An introduction | 9-22-16 |
| Section 4 | Communicating Mathematics I: Assertions | 9-26-16(7PM) |
| Section 5 | Mathematical Scenarios | 9-26-16(7PM) |
| Section 6 | Tools from Logic | 9-26-16(7PM) |
| Section 7 | First Proofs: Elementary Set Theory | 10-1-16 |
| Section 8 | Proof Mechanics: Simplifying the Goal | 10-1-16 |
| Section 9 | Using and abusing variables | 10-11-16 |
| Section 10 | Binary Relationships and Binary Relations | 10-20-16 |
| Section 11 | Introduction to Mathematical Induction | 11-3-16 |
| Section 12 | A glimpse of number theory | 11-10-16 |
| Section 13 | Basic proofs involving real numbers | 12-13-16 |
| Section 14 | Cardinality:Comparing the sizes of sets | 12-13-16 |