| Section | Title | Version date |
| Section 1 | Introduction:Thinking and communicating about mathematics | 2-2-2015 |
| Section 2 | What do mathematicians study and why? | 2-2-2015 |
| Section 3 | Communicating mathematics | 2-2-2015 |
| Section 4 | Mathematical Scenarios | 2-6-2015 |
| Section 5 | Tools from Logic | 2-8-2015 |
| Section 6 | First proofs: Elementary set theory | 2-11-2015 |
| Section 7 | Proof mechanics: Simplifying the goal | 2-11-2015 |
| Section 8 | Using and abusing variables | 2-18-2015 |
| Section 9 | Binary relations and binary relationships | 3-29-2015 |
| Section 10 | Basic Proofs involving real numbers | 4-3-2015 |
| Section 11 | Mathematical Induction | 4-10-2015 |