# Mathematics Examination

## Program Overview

Notre Dame's credit examinations in mathematics are intended for students who took calculus in high school and believe that they have sufficient mastery of the material to receive credit for the equivalent course(s) at Notre Dame.

Students who receive credit through the CEEB Advanced Placement Program or the International Baccalaureate Program for calculus should not request to take the examination.

Below you will find information and a practice examination for each of the exams offered. Please note that students find these exams to be quite difficult, especially after a summer away from the material. Also note that the practice exams represent a sample of questions that can be asked; these practice exams are not intended to be used as a comprehensive battery of all possible questions.

Calculators are not permitted for use on the credit by exam. This is also true for most mathematics courses here at Notre Dame.

## Examinations Offered

**Course: **MATH 10250: Elements of Calculus I

**Intents:** Arts & Letters, Business, Architecture

Topics include functions, limits, derivatives, and an introduction to the integral, with interesting real-life applications throughout.

Additional information from the course webpage

**Course:** MATH 10550: Calculus I

**Intents:** Science, Engineering

For students in science and engineering.

Topics include sets, functions, limits, continuity, derivatives, integrals, and applications such as plane areas and volumes of solids of revolution.

**Course:** MATH 10560: Calculus II

**Intents:** Science, Engineering

For students in science and engineering.

Topics include transcendental functions and their inverses, l’Hospital’s rule, integration techniques (integration by parts, trigonometric substitution, partial fractions), improper integrals, arc length, surface area, moments and centroids, differential equations, sequences and series, Taylor and Maclaurin series, parametric equations, and polar coordinates.

**Course:** MATH 20550: Calculus III

**Intents:** Science, Engineering

A comprehensive treatment of differential and integral calculus of several variables.

Topics include space curves, surfaces, functions of several variables, partial derivatives, multiple integrals, line integrals, surface integrals, Stokes theorem and applications.

**Course:** ACMS 10145: Stats for Business I

For students who plan to major in Business.

Descriptive statistics: graphical methods, measures of central tendency, spread, and association. Basic probability theory and probability models for random variables. Introduction to statistical inference: confidence intervals and hypothesis tests. Many examples will be based on real, current business and economic datasets. (Calculators are allowed.)