Choosing Your First Math Class
The Math Requirement in Engineering
The core mathematics courses for Engineering students are:
- MATH 1910: Calculus for Engineers
- MATH 1920: Multivariable Calculus for Engineers
- MATH 2930: Differential Equations or MATH 2940: Linear Algebra
- A math course chosen by major
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. A list of the topics covered in each course is located at the bottom of this webpage. More information about good academic standing is available in the most recent Engineering Undergraduate Handbook.
Students are encouraged to consider the following when selecting their first math course during course pre-enrollment in July:
- Satisfactory performance on a standardized advanced placement exam (CEEB or GCE) and coursework completed at another accredited college may be used toward the math requirement if the student wishes to use the credit. Consult the Engineering Handbook 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.
- You will be able to change your math enrollment during the Add/Drop period in August, after you take any desired CASE exams and meet with your faculty advisor during Orientation.
Cornell Advanced Standing Exam (CASE) for MATH 1910 and 1920
You may wish to take this optional exam if:
- you are unsure of which math course is the best match for your knowledge or skill level;
- you have no advanced placement (AP) credit for math, but wish to try to earn credit for MATH 1910 and/or MATH 1920;
- you are unsure whether to accept your AP or transfer credit, and wish to test your knowledge against what Cornell faculty would expect you to know if you were to complete the class at Cornell.
You will not lose any math credits you already earned via your scores on a standardized exam (AP, GCE, IB) or prior coursework as a result of your performance on this exam.
CASE exams are not offered for MATH 2930 or MATH 2940.
Deciding on a First Math Course
MATH 1910 (Calculus for Engineers)
You should enroll in a lecture and discussion of MATH 1910 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 use it.
MATH 1920 (Multivariable Calculus for Engineers)
You should enroll in a lecture and discussion of MATH 1920 if:
(1) You have advanced placement credit — a score of 5 on the College Board (CEEB) AP Calculus BC exam (not the AB exam) or a score of A, B, or C on the General Certificate of Education (GCE) Advanced (A-Level) exam in Math or Pure Math (if taken in Singapore) — and plan to accept this credit in place of MATH 1910; or
(2) You have earned transfer credit for MATH 1910 from another institution (must be pre-approved); or
(3) 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) or MATH 2940 (Linear Algebra for Engineers)
You should enroll in a lecture and discussion of MATH 2930 or MATH 2940 only if you have already earned credit for both MATH 1910 and MATH 1920, through advanced placement, transfer credit, or a combination of the two (confirmed by the Engineering Advising Office).
Please remember: Detailed information and step by step instructions for selecting all of your courses, including math, will be available on the Engineering Advising New Students website in early July, prior to the start of fall course pre-enrollment. 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.
What if I don’t yet know my AP exam scores and/or I plan to take the CASE?
If you have taken an advanced placement exam (CEEB, GCE A-Level, or IB) but do not know your final results, or you wish to take the CASE exam for math during Orientation, select a class in July based on your expected results or how confident you feel about the topics.
Credit will be awarded for a math course taken at another institution only if the course is highly comparable in both content and rigor to MATH 1910, 1920, 2930, or 2940. The student must provide a syllabus that includes an outline of the topics covered in the course, as well as the final exam or sample exams. If the course was taken online, the student must also provide proof that the final exam was proctored on the university’s campus by the department running the program rather than by a proctor agreed upon by the student and the program.
Courses equivalent to MATH 1110 (Calculus I) are not evaluated for transfer credit in Engineering. Differential Equations courses may be transferrable if a substantial part of the course involves partial differential equations. Credit for MATH 2930 will not be awarded for courses that cover only ordinary differential equations.
Math 1910: Calculus for Engineers
|Math 1920: Multivariable Calculus For Engineers||Math 2930: Differential Equations for Engineers||Math 2940: Linear Algebra for Engineers|
|Prerequisite: Assumes student has successfully completed at least one course in differential and integral calculus.||Prerequisite: Math 1910||Prerequisite: Math 1910 and Math 1920||Prerequisite: Math 1910 and Math 1920|
Substitution in definite integrals
Areas between curves
Volumes by slicing
Volumes of revolution
Curve length/surface area
Inverse functions and derivatives
The exponential/other bases
Growth and Decay
Inverse trig functions
Basic integration formulae
Integration by parts
Limits of sequences of numbers
Theorems for limits
Taylor and Maclaurin series
Taylor series convergence
Applications of power series
Vectors in a plane
Cartesian coordinates/vectors in space
Lines and planes in space
Arc length/unit tangent vector
Functions of several variables
Limits and continuity
The chain rule
Extreme values/saddle points
Applications: mass/ center of mass/ average value
Integrals in polar coordinates
Spherical, cylindrical coordinates
Flux and circulation
Change of variables
Parametrized and implicit surfaces
Tangent plane to a surface
Joint probability distribution
First order differential equations
Initial value problem/existence theorem
Linear differential operators
Second order differential equations
Constant coefficients/ homogeny
Boundary value problems and eigenvalue problems
Introduction to PDE
Sine and cosine series
Separation of variables
Partial differential equations
Vectors, linear combinations
Solution sets of Ax=b
Matrix of linear transformation
Matrix operations, inverse
Null and column spaces
Apps to differential equations
Least squares problems
Inner product spaces
Diagonalization of symmetric matrices
Singular value decomposition