Calculus vs Statistics vs Discrete Math: Which Math for You?

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Math 165 · Statistics 101 · Math 2304, 3 and 4 creditsNCCRS recommended

Calculus vs Statistics vs Discrete Math: which math for your major

Calculus 1 is about change: limits, derivatives and integrals. Principles of Statistics is about data: probability, confidence intervals, hypothesis tests and regression; Discrete Mathematics is about logic and counting: proof, sets, probability, graphs and trees. Take the one your major names: none of the three syllabi lists a prerequisite.

Credit
4, 3 and 4 semester hours
ACE recommended
Statistics only
Prerequisites
None listed for any

What you learn

From the three syllabi. Statistics and Discrete Mathematics both teach probability; Calculus 1 does not.

Calculus 1

  • Limits and continuity
  • Derivatives
  • Optimization
  • Integrals
  • Fundamental Theorem of Calculus

Statistics

  • Data displays
  • Normal distribution
  • Confidence intervals
  • Hypothesis testing
  • Regression and ANOVA

Discrete Mathematics

  • Logic and proof
  • Sets and functions
  • Counting
  • Recurrence relations
  • Graphs and trees
  • Boolean algebra

Side by side

Calculus 1, Principles of Statistics and Discrete Mathematics, from the three syllabi
 Calculus 1StatisticsDiscrete Math
Course codeMath 165Statistics 101Math 230
Credit (NCCRS)4 semester hours3 semester hours4 semester hours
ACENo: NCCRS onlyYes: ACE ID UPIS-0003No: NCCRS only
Chapters8 chapters14 chapters13 chapters
Instructional hours49 hours67 hours46 hours
AboutChange: derivatives and integralsData: probability and testsLogic, counting, graphs
PrerequisitesNone listed
Final exam100 multiple-choice questions

All three are self-paced: quizzes and the assignment are open-book, the final is proctored, and 70 or higher passes.

Which one should you take?

Take the course your degree names.

Take Calculus 1 if

  • Your major lists Calculus I
  • You may go on to Calculus 2 and 3
  • You need derivatives and integrals

Take Statistics if

  • Your major lists Statistics
  • You want to work with data and tests
  • Your college takes ACE recommendations

Take Discrete Math if

  • Your major lists Discrete Mathematics
  • You want logic and proof
  • You need graphs, trees and counting

Questions, answered

Which math course should I take: calculus, statistics or discrete math?

Take the one your major names. If it lists Calculus I, take Calculus 1 (Math 165); if it lists statistics, take Principles of Statistics (Statistics 101); if it lists Discrete Mathematics, take Discrete Mathematics (Math 230). See also Discrete Math vs Discrete Structures. Your college decides which course meets each requirement.

Is discrete math harder than calculus?

They ask for different skills. Calculus 1 works with functions, limits and rates of change; Discrete Mathematics works with logic, proof, counting and graphs. By the syllabi, Calculus 1 has 49 instructional hours across 8 chapters and Discrete Mathematics has 46 across 13. You can try free Discrete Mathematics lessons first.

Which carries an ACE recommendation: Calculus 1, Principles of Statistics or Discrete Mathematics?

Principles of Statistics (Statistics 101): ACE recommends 3 semester hours, ACE ID UPIS-0003, and NCCRS recommends 3 as well. Calculus 1 and Discrete Mathematics are NCCRS only, each recommended for 4 semester hours.

What do Calculus 1, Principles of Statistics and Discrete Mathematics each cover?

Calculus 1 (Math 165) covers functions, limits and continuity, derivatives and their uses, and integration up to the Fundamental Theorem of Calculus. Principles of Statistics (Statistics 101) covers statistics for business: data and graphs, probability, distributions, confidence intervals, hypothesis tests and regression. Discrete Mathematics (Maths 230) covers logic and proof, sets and functions, counting and probability, recurrence relations, graphs and trees, matrices and Boolean algebra.

What are Calculus 1, Principles of Statistics and Discrete Mathematics worth in college credit?

Calculus 1: NCCRS recommends 4 semester hours, upper division, in Calculus among other subjects. Principles of Statistics: NCCRS recommends 3 semester hours, lower division, in Mathematics among other subjects; ACE recommends 3 (ACE ID UPIS-0003). Discrete Mathematics: NCCRS recommends 4 semester hours, lower or upper division, in Calculus among other subjects.

What subject areas do Calculus 1, Principles of Statistics and Discrete Mathematics count in?

Calculus 1: Calculus, Mathematics, Computer Science, Economics, or as a general education math elective. Principles of Statistics: Mathematics, Economics, International Business, Finance, Finance and Investment, Accounting, Management, Human Resources, Hospitality Management, Management Information Systems, Marketing, Education, or Health Services. Discrete Mathematics: Calculus or Mathematics. Your college decides which requirement each one fills.

How long are Calculus 1, Principles of Statistics and Discrete Mathematics?

Calculus 1: 8 chapters and 49 instructional hours. Principles of Statistics: 14 chapters and 67 instructional hours. Discrete Mathematics: 13 chapters and 46 instructional hours. All three are self-paced, so you finish as fast or as slow as you want.

What do I need before Calculus 1, Principles of Statistics and Discrete Mathematics?

None: no syllabus of the three lists one, so you can begin with Principles of Statistics or take them side by side.

What are the final exams like in Calculus 1, Principles of Statistics and Discrete Mathematics?

Calculus 1: 100 multiple-choice questions, 25% of the grade. Principles of Statistics: 100 multiple-choice questions, 50% of the grade. Discrete Mathematics: 100 multiple-choice questions, 25% of the grade.

Which textbooks do Calculus 1, Principles of Statistics and Discrete Mathematics use?

Calculus 1: Hoffman, Dale. Contemporary Calculus. Bellevue College, Washington State Colleges, with other references. Principles of Statistics: Illowsky, Barbara, and Susan Dean, editors. Introductory Statistics 2e. OpenStax, 2023, with other references. Discrete Mathematics: Rachel Zax and Harry Lewis. Essential Discrete Mathematics for Computer Science, Princeton University Press, 2019 (optional), with other references.

What should I take after Principles of Statistics?

Quantitative Analysis. In the “Business and data” order on the Math courses page, it follows Principles of Statistics. Your program may set its own order.

Is the Calculus 1 final exam open-book?

No. Open-book is fine for the Calculus 1 quizzes and assignment, but the final is proctored: lightly, with no camera, once you are at 70% or more, and fully otherwise.

Can I use a calculator in the Calculus 1 final?

Yes. Calculators are allowed in math finals, and most final questions are multiple choice, so nothing needs typing. Calculus 1 assignments can be typed or handwritten and photographed into one PDF.

Will my college accept Calculus 1, Principles of Statistics and Discrete Mathematics?

ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities. Search your school in Find My College and ask your registrar which courses Math 165, Statistics 101 and Math 230 would count as. It helps to name the subject: NCCRS recommends Calculus 1 in Calculus and Principles of Statistics in Mathematics.

Where these credits can go

ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities.

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  • Indiana Tech logo
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  • University of Management and Technology (UMT) logo
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  • Maestro University (formerly Bottega University) logo
  • Gracelyn University logo
  • EC-Council University logo

Plus many more partner colleges and ACE and NCCRS cooperating colleges.

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Check your college first

ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities.

Sources (4)

UPI Study facts are from our course catalog, syllabi and course rules.