Part of the expanding PassProfessor catalog: This program is in the works — a chapter-simulation program covering the full scope of a discrete mathematics course, organized chapter by chapter. Join the notify list and we will email you the day it launches.
This program is part of the expanding PassProfessor catalog — join the notify list and we’ll email you when enrollment opens.
PassProfessor’s Discrete Mathematics program is a chapter-simulation program for students taking a discrete mathematics course. You pick the course, then pick the textbook and edition your class uses, and the program builds chapter-based simulation exams optimized for that book’s chapter order — so the practice you do this week matches the chapter your instructor is teaching this week. The program is organized across 14 chapters plus in-depth proof sets, an applied-structures set, and an integrative synthesis set, covering propositional logic, predicates and quantifiers, rules of inference and proof methods, sets and set proofs, relations, functions, induction and recursion, counting principles, permutations and combinations, discrete probability in outline, graphs in outline, trees in outline, and number theory in outline. There is no licensing exam at the end of a discrete mathematics course — there is your instructor’s exam, chapter by chapter — and this program is built to rehearse exactly that.
PassProfessor’s Discrete Mathematics program is a chapter-simulation program for the undergraduate discrete mathematics course: original practice questions organized chapter by chapter — logic and proofs, sets, relations and functions, combinatorics and counting, and graph theory, trees, recursion, and number theory in outline — matched by textbook and edition so chapter drills and timed simulation exams follow the chapter your instructor is teaching. It rehearses your instructor’s chapter tests and finals — there is no licensing exam for a college course — with results reported by chapter.
What this program is — and what it is not
It is a simulation of your course, not a licensing product. Licensing-exam prep rehearses one fixed, official exam. A college course works differently: your instructor chooses the textbook, sets the chapter order, and writes the exams. This program is designed around that reality. The textbook-and-edition selector aligns the simulations to the chapter sequence of the book your course actually uses, and chapter drills let you practice one chapter at a time, at the point in the semester when you need it.
It is not published, sponsored, or endorsed by any textbook publisher or author. PassProfessor is an independent study provider. The program is never branded or titled under a textbook’s name, and nothing in it reproduces textbook text, textbook figures, or a publisher’s test bank. Selecting your textbook only tells the program which chapter order to organize your practice around.
Every question is original. The bank was built from the published structure of a discrete mathematics course — the standard chapter sequence and topic scope the discipline itself uses — and every stem, scenario, and answer option was written from scratch and checked against verified disciplinary facts. Sources supplied facts and course structure only; the questions are ours.
What’s included
Practice organized the way your course is organized. The bank follows a 14-chapter structure that mirrors the standard discrete mathematics course, from propositional logic through number theory in outline, plus in-depth proof sets, an applied-structures set, and an integrative synthesis set. The full chapter-by-chapter breakdown is in the coverage table below.
Chapter drills. Practice a single chapter — only that chapter — until the misses stop repeating. Finished the induction lectures? Drill that chapter until the base-and-step skeleton feels automatic. Counting test in ten days? Work the permutations and combinations chapter in sequence, the way your course presents it.
Chapter-based simulation exams. When a chapter test or a unit exam approaches, sit a timed simulation built from the chapters it covers, in the proportions your selected textbook’s organization suggests. Simulations draw questions you have not seen first, so a second or third run at the same chapter is a fresh test, not a memory exercise.
A textbook-and-edition selector. Different textbooks divide the same material into chapters differently — one book’s single chapter is another book’s two. When you select the textbook and edition your course uses, the program maps its bank onto that book’s chapter organization, so the chapter number in your practice means the same chapter in your syllabus.
Results broken down by chapter and topic. Your practice results report by chapter, so a weak area — say, induction proofs, or counting setups — shows up in your data while there is still time to fix it, not for the first time on a graded exam.
A note on editions and course versions. Instructors adopt different textbooks and different editions of the same textbook, and departments periodically revise the course itself. The bank’s organization follows the discipline’s standard chapter structure — the sequence the field itself teaches — and the selector maps that structure onto your edition’s numbering, so a chapter that your book splits in two, or merges into one, still lines up with the practice built for it. Where an instructor reorders chapters, chapter drills can be assembled in your course’s order; the practice follows the syllabus, not the other way around.
The course at a glance
Discrete Mathematics has no single official exam, so there is no official exam-facts table to publish — your instructor’s syllabus is the authority for your course’s test dates, formats, and grading. What is standard is the scope of the discipline itself, summarized here as course background. For the full picture of what a discrete mathematics course covers and how to study it, see our Discrete Mathematics study guide.
| Undergraduate discrete mathematics — the course this program simulates | |
|---|---|
| Course type | Undergraduate college course (the standard discrete structures course for mathematics and computing programs; typically three to four credits) |
| Standard scope | Propositional logic — connectives, equivalence, and truth tables; predicates, quantifiers, and rules of inference; proof methods — direct, contrapositive, contradiction, cases, and counterexamples; sets, set operations, and set proofs; relations — properties, equivalence relations, and partial orders; functions — types, inverses, composition, and growth in outline; mathematical induction and strong induction; recursion and recurrence ideas in outline; counting principles — sum, product, inclusion-exclusion, and the pigeonhole principle; permutations and combinations; discrete probability in outline; sequences and summations in outline; graph theory in outline — models, paths, and connectivity; trees in outline; number theory in outline — divisibility and modular arithmetic |
| How the course is assessed | Instructor-set chapter tests, unit exams, and a final — formats and weights vary by instructor and institution |
| This program’s bank | Chapter-based practice across 14 chapters + in-depth, applied, and synthesis sets |
| Program format | Chapter drills and chapter-based simulation exams, organized by your selected textbook/edition |
How the practice maps to the course
The program follows the standard chapter organization of the course, below. Chapter drills draw only from the chapter you select, and simulation exams can be built over any set of chapters.
| Chapter | Coverage |
|---|---|
| Propositional Logic and Truth Tables | — |
| Predicates, Quantifiers, and Rules of Inference | — |
| Proof Methods: Direct, Contrapositive, Contradiction, and Cases | — |
| Sets, Set Operations, and Set Proofs | — |
| Relations: Properties, Equivalence, and Order | — |
| Functions: Types, Inverses, and Composition | — |
| Mathematical Induction and Strong Induction | — |
| Recursion and Recurrence Ideas in Outline | — |
| Counting Principles | — |
| Permutations and Combinations | — |
| Discrete Probability in Outline | — |
| Sequences, Summations, and Growth in Outline | — |
| Graph Theory in Outline: Models, Paths, and Connectivity | — |
| Trees and Number Theory in Outline | — |
The outline chapters deserve a note: graphs, trees, recursion, probability, and number theory are surveyed at orientation depth in most discrete mathematics courses, while logic, proof methods, induction, and counting carry the examination weight. The program’s textbook selector maps practice onto your book’s organization, so your drills carry the chapters — and the weights — your course actually assigns.
How to use it
- Join the notify list today. When the program opens, set up your course first: select Discrete Mathematics, then select the textbook and edition your syllabus names.
- Drill the chapter you are in. After each lecture block, drill that chapter while the material is current. Short, chapter-matched practice beats a single long session the night before the test.
- Watch your chapter breakdown. Your results show which chapters are costing you. Return to the weakest chapter’s drill before moving on — discrete mathematics builds language into proof and proof into structure — logic supplies the inference rules the proof chapters spend, induction powers the recursion material, and counting returns inside probability and graphs.
- Simulate before each graded test. In the days before a chapter test or unit exam, sit a timed simulation over exactly the chapters it covers. Practice the pacing and the question style, not just the facts.
- Use the integrated set before midterms and finals. The cross-chapter questions combine chapters the way cumulative exams do. They are the closest rehearsal for a final that reaches back to the start of the term.
Frequently asked questions
Is this a licensing exam prep program? No. Discrete mathematics is a college course, not a licensed credential, and there is no official discrete mathematics exam at the end of it. This is a chapter-simulation program: it rehearses the tests your own instructor gives, chapter by chapter, using original questions built to the standard scope of the undergraduate course.
Is this the same as finite mathematics? No — finite mathematics is a separate course, weighted toward matrices, linear programming, and business applications, with its own program. This program follows the discrete mathematics course: logic, proof, sets and relations, induction, counting, and discrete structures.
I have only taken calculus-track courses. Is the style different? Yes, and the difference is the course’s point: answers here are arguments. Problems ask for proofs, counterexamples, and justified counts more than for numerical results, and the program’s drills weight method selection and written justification accordingly.
Which textbook does the program follow? The program is organized around the standard chapter structure of the discrete mathematics course, and the textbook-and-edition selector maps practice onto your book’s chapter order when you set up your course. No textbook is named, branded, or reproduced — the selector only aligns chapter numbering.
Does the program include programming? No — the course is mathematics, not a programming course, though computing students take it as their theoretical foundation. Where topics touch computing — recursion, trees, growth in outline — the treatment stays mathematical, as the course itself does.
Can I practice just one chapter? Yes — that is the core of the design. Chapter drills draw only from the chapter you select, and simulation exams can be built over any set of chapters, so your practice can match a single chapter test, a unit exam over counting, or a cumulative final.
How deep does the graph theory go? In outline, the way the course teaches it: models, degree, paths and circuits, connectivity, and coloring in brief. A dedicated graph theory course develops the subject in full; this program matches the discrete course’s survey depth.
I can compute but my proofs are weak. Will drills help? Yes — proof writing is the most structured skill in the course. The drills isolate its moves: choosing a method, unpacking a definition, running an induction skeleton, negating a quantified claim. Structure practiced in pieces assembles into full proofs under exam conditions.
My course orders counting before sets. Will the practice still line up? In most cases, yes. Courses differ in block order more than in content. The textbook selector maps the program’s chapters onto your book’s organization, and drills can be assembled by topic when your sequence differs.
When can I start using the Discrete Mathematics program? The program is in the works. Join the notify list on this page and we will email you the day it opens.
Disclaimer
PassProfessor is an independent exam-preparation and study provider, based in Salt Lake City, UT and operating entirely online. This program is study preparation only: it is not affiliated with, endorsed by, or sponsored by any textbook publisher, textbook author, college, university, or instructor, and it reproduces no textbook content. Practice questions are original, written to the published structure and standard scope of a discrete mathematics course; they are not questions from any instructor’s exam or any publisher’s test bank. Your course syllabus is the authority for your course’s schedule, formats, and grading.