# Placement Guide for Those Entering Emory College

Calculus

Advanced Math for Students with 6 Hours of AP Credit

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Advanced Math Placement Guide

Calculus Placement Guide

## Calculus

### Math 111: Calculus I

This course covers limits, differentiation, and the integration of single variable functions. Students will learn how to interpret and compute results in these topics, as well as to understand their application within the social and natural sciences. This is a 3 credit hour course.
**Prerequisites:**

None
**Intended Audience:**

Recommended for those with no prior Calculus experience, and for those majoring in Mathematics, Chemistry, Business, Computer Science, Physics, or Economics

### Math 111L: Calculus I with Lab

This course covers the same topics as Calculus I (Math 111), but with its expanded time frame, provides more examples, application, and practice through group and individual work in the labs. There will be more frequent assessment of, and support for, progress using a web- based set of exercises and quizzes. It also uses an electronic version of the Calculus textbook (eBook) with software that provides extensive additional materials. This is a 4 credit hour course.
Offered in Fall Only

**Prerequisites:**

None

**Intended Audience:**

Recommended for those with no prior Calculus experience, and for those majoring in Mathematics, Chemistry, Business, Computer Science, Physics, or Economics

### Math 112: Calculus II

This course is intended for those who have completed Math 111 at Emory or who have completed Calculus l at another university. It starts with techniques on integration and introduces topics as if it is the first time students have seen them. Offered in Fall, Spring, and Summer
**Prerequisites:**

• Math 111 or 111L at Emory, or

• Calculus I at another university.
**Intended Audience:**

Math 112 is the recommended route for students majoring in Math, Chemistry, Computer Science, Physics, or Economics.

### Math 112Z: Calculus II

This course begins with series and sequences. It recaps the techniques of integration, but at a quick pace.
Offered in Fall Only, Available to Freshmen only
**Prerequisites:**

To enter this course, you must have:

• A score of 4 or 5 on the Calculus AB Advanced Placement exam, or

• A score of 5,6, or 7 on the HL I.B. Math test.
**Intended Audience:**

Math 112 is the recommended route for students majoring in Math, Chemistry, Computer Science, Physics, or Economics.

### Math 116: Life Sciences Calculus II

This course introduces students to the application of differential equations and probability theory in the life sciences. The course begins with a quick review of some integration techniques, exponential growth, and decay. Students will be briefly introduced to the matrix and multivariable calculus topics needed to study systems of differential equations that model such phenomena as competition, predator/prey, and epidemics. There is an introduction to probability theory, followed by several applications to topics such as genetics. This is a 4 credit hour course.
Offered in Fall and Spring

**Prerequisites:**

Freshman who have:

• Completed Math 111, or

• Received a 4 or 5 on the Calculus AB Advanced
Placement exam, or

• Scored a 5,6, or 7 on the HL I.B. Math test.

**Intended Audience:**

Math 116 is required for students pursuing a BS in Biology.

It is not required for the Biology BA but is often recommended for Medical Schools.

Math 116 is not designed for students pursuing higher- level math and does not satisfy the prerequisite for any advanced math courses.

**If you wish to pursue 200-level math courses, you should take Math 112 or Math 112Z (for students with AP credit).**

## Advanced Math for Students with 6 Hours of AP Credit

### Math 221: Multivariable Calculus

This course extends the ideas of differentiation and integration to functions of more than one variable, focusing on computation and integration of the results. It also defines vector-valued functions and investigates the concepts of differentiation and integration in this setting. Applications include optimization of functions of more than one variable and computing the work done by a continuous force field.
Fall, Spring, and Summer
**Prerequisites:**

• Six hours of AP credit (a score of 4 or 5 on the AP BC exam)

or

• Math 112 or 112Z

**Intended Audience:**

This course is intended for students majoring in one of the following fields:

• Math

• Physics

• Economics

### Math 212: Differential Equations

This course begins by defining a differential equation with the main objective of the course being to find a solution or set of solutions to a given differential equation. Several families of differential equations are examined and solutions computed when possible. Differential equations are used to model dynamic systems. There will be several applications throughout the course demonstrating how to set up and solve such systems.
Fall and Spring
**Prerequisites:**

• Six hours of AP credit (a score of 4 or 5 on the AP BC exam)

or

• Math 112 or 112Z

**Intended Audience:**

Math 212 is required for students majoring in Applied Math, Applied Math & Stats, and Physics BS degrees.

### Math 221: Linear Algebra

This course begins with the definition of a matrix and some fundamental operations that can be performed on matrices, such as adding or multiplying two matrices together. Vector spaces are also introduced. A connection is then formed by modeling vector spaces using matrices. Advanced topics involving matrices, such as diagonalization and quadratic forms, eigenvalues and eigenvectors, orthogonalization, and the Gram-Schmidt process are examined.
Fall and Spring
**Prerequisites:**

• Six hours of AP BC credit, or

• Math 112 or 112Z
**Intended Audience:**

This course is required for students majoring in the Mathematics BA, Applied Math BS, and the Applied Math/Stats BS, as well as the Computer Science BA and BS.

Note: Other departments, such as Chemistry and Economics, highly recommend that students take one or more of the math classes described above if they plan to pursue graduate school. See your specific department’s website or advisors for more details.

### Math 275: Honors Linear Algebra

Math 275 and Math 276 provide ambitious math majors with an accelerated pathway into more advanced math courses. Students who complete the full-year sequence fulfill the major requirements for Linear Algebra (Math 221), Multivariable Calculus (Math 211,) and Foundations of Math (Math 250). Math 275 and 276 are more intense than regular versions of these courses, so math majors who elect this route should be ready for a serious challenge.

Note: If you complete Math 275 without completing Math 276, you will be given credit for Math 211. You must complete the sequence in order to get credit for all 3 courses listed above.

Math 275: Fall

Math 276: Spring
**Prerequisites:**

• A score of 5 on the AP Calculus BC exam, or

• A score of 7 on the HL IB exam, or

• Permission of the instructor, see below:

Students, including freshmen, who wish to enroll, must email math-apscores@listserv.cc.emory.edu. Include a screen shot showing your AP or IB text scores.
**Intended Audience:**

Math 275 and 276 are intended for ambitious math majors, including freshmen, who are serious about math and ready for the challenging material covered. When both courses are completed, students will have access into more advanced math courses.

### NOTES

Any requests for AP/IB credit and placement in a higher level course should should be emailed to math-apscores@listserv.cc.emory.edu. Include a screen shot showing your AP or IB text scores.