Cornell Engineering Mathematics Placement

Choosing your first Math courseDetailed information and step by step instructions for selecting all of your courses, including math, will be available on the Engineering Advising First-Year Planning website in early July, prior to the start of fall course pre-enroll.

The (4) core mathematics courses for Engineering students are:MATH 1910, MATH 1920, (MATH 2930 *or* MATH 2940), and a fourth Math course chosen by the major.(A list of the topics covered in each course is located on the third page.)

***Students must enroll in one (and only one) math course for the fall term in order to be in good academic standing in the College of Engineering. -----------------------------------------------------------------------------------------------------------------------------------

Students are encouraged to consider the following when selecting the first math course during course pre-enroll in mid-July:

1. Any standardized advanced placement exams (AP, GCE, IB) and coursework completed at another accredited college (please see the College of Engineering AP and transfer credit information and the AP credit table for details concerning how Engineering awards advanced placement and transfer credit). ***Because your performance in the mathematics curriculum is critical to your academic success in Engineering, we encourage you to realistically assess your abilities and avoid creating a schedule that is overly ambitious or demanding your first semester. 2. There is an optional Cornell Advanced Standing Exam (CASE) for MATH 1910 and 1920 offered during Orientation as follows:

Date:

Sunday, August 24th Time:

10:15 a.m.

Location:Olin 155

You may wish to take this exam if:

you are unsure of which math course is the best match for your knowledge or skill level;

you do not have AP credit for math, but wish to try to earn credit for MATH 1910 and/or 1920; you are unsure whether or not to accept advanced placement or transfer credit, and wish to test your current knowledge in this subject against what the Cornell faculty will expect you to know if you were to complete the class.Note: You will not lose any math credits you have already earned via your scores on a standardized exam (AP, GCE, IB) or prior coursework as a result of your performance on this exam. 3. CASE exams are not offered for either MATH 2930 or MATH 2940.

4. You will be able to change your math enrollment during the Add/Drop period in August.Which math course should you enroll in for Fall?MATH 1910 (Calculus for Engineers): You should enroll in MATH 1910 (lecture and section), if:

(1) You do not have advanced placement or transfer credit for MATH 1910; or

(2) You have advanced placement or transfer credit for MATH 1910 but do not wish to accept it

MATH 1920 (Multivariable Calculus for Engineers): You should enroll in MATH 1920 (lecture and section), if:

(1) You earned a score of 4 or 5 on the College Board (CEEB) AP CALC BC exam (not the AB exam) and plan to accept this credit in place of MATH 1910; or

(2) You have a score of A, B, or C on the General Certificate of Education (GCE) Advanced (A-Level) exam in Math or Pure Math and plan to accept this credit in place of MATH 1910; or

(3) You have earned transfer credit for MATH 1910 at another institution (confirmed by the Engineering Advising Office); or

(4) You plan to complete MATH 1910 this summer at Cornell or an equivalent course at another institution (must be pre-approved)

MATH 2930 (Differential Equations for Engineers): You should enroll in MATH 2930 (lecture and section) only if: You have already earned credit for both MATH 1910 and 1920, through advanced placement, transfer credit, or a combination of the two (confirmed by the Engineering Advising Office).

MATH 2940 (Linear Algebra for Engineers): First-year students typically do not enroll in MATH 2940 in the first semester, unless they have already earned credit for MATH 1910, 1920 and 2930. If you feel there is a compelling reason why you should enroll in MATH 2940 for the fall semester, please contact Engineering Advising.

Which MATH course should I select if I dont yet know my advanced placement exam scores and/or plan to take the CASE?

If you have taken an advanced placement exam (AP, GCE A-Level) and do not yet know your final results, or you wish to take the CASE exam for math during Orientation, select your class in July based on your expected results or how confident you feel about the topics (see next page). Please remember, detailed information and step by step instructions for selecting all of your courses, including math, will be available on the Engineering Advising First-Year Planning website in early July, prior to the start of fall course pre-enroll. Additionally, you will have an opportunity to adjust your fall course enrollment during Add/Drop in late August, after you take any desired CASE exams and meet with your faculty advisor during Orientation.

Phone: (607) 255-7414; or Email: adv_engineering@cornell.eduENGINEERING MATH SEQUENCE

Math 1910 (Calculus for Engineers 1)

Fundamental theorem

Substitution in definite integrals

Numerical integration

Areas between curves

Volumes by slicing

Volumes of revolution

Cylindrical shells

Curve length/surface area

Inverse functions and derivatives

Natural logarithms

The exponential/other bases

Growth and Decay

Inverse trig functions

Hyperbolic functions

Basic integration formulae

Integration by parts

Trig substitutions

Improper integrals

Limits of sequences of numbers

Theorems for limits

Infinite series

Integral test

Comparison tests

Ratio tests

Absolute convergence

Power series

Taylor and Maclaurin series

Taylor series convergence

Applications of power series

Math 1920 (Calculus for Engineers II)Polar coordinates

Conic sections

Vectors in a plane

Cartesian coord/vectors in space

Dot products

Cross products

Lines and planes in space

Vector-valued functions

Arc length/unit tangent vector

Functions of several variables

Limits and continuity

Partial derivatives

Differentiability/linearization

The chain rule

Directional derivative

Extreme values/saddle points

Double integrals

Applications: mass/ center of mass/ average value

Integrals in polar coordinates

Triple integrals

Spherical, cylindrical coord

Line integral

Vector fields

Flux and circulation

Greens Theorem

Surface integrals

Stokes Theorem

Divergence theorem

Curl/potential functions

Change of variables

Parametrized and implicit surfaces

Tangent plane to a surface

Math 2930 (Engineering Math I-Diff. Eqs.)

First order differential equations

Initial value prob/existence thm

Separable equations

Linear equations

Exact equations

Math models

Qualitative methods

Numerical methods

Linear differential operators

Second order differential equations

Constant coefficients/ homogeny

Complex roots

Nonhomogeneous equations

Undetermined coefficients

Direction fields

Boundary value problems and eigenvalue problems

Introduction to PDE

Fourier series

Sine and cosine series

Separation of variables

Heat equation

Wave equation

Laplaces equation

Math 2940 (Engineering Math II-Lin. Alg.)

Introduction/linear systems

Row reduction

Vectors, linear combinations

Matrix equations

Solution sets of Ax=b

Linear transformations

Matrix of linear transformation

Matrix operations, inverse

Invertible matrices

Partitioned matrices

Determinants

Vector spaces

Null and column spaces

Linear independence

Dimension

Rank

Applications

Eigenvectors

Diagonalization

Linear transformations

Complex eigenvalues

Apps to differential eqns

Orthogonal sets

Inner products

Orthogonal projection

Gram-Schmidt process

Least squares problems

Inner product spaces

Diagonalization of sym matrices

Orthogonal matrix

Singular value decomposition

Revised 3/31/14