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01:640:151 - Calculus I for the Mathematical and Physical Sciences

Math 151–152 is the introductory year course in the calculus sequence in New Brunswick for majors in the mathematical sciences, the physical sciences, and engineering.

  • The first semester, Math 151 or 153, presents the differential calculus of the elementary functions of a single real variable: the rational, trigonometric and exponential functions and their inverses; various applications via the Mean Value Theorem; and an introduction to the integral calculus.
  • The second semester, Math 152, continues the study of the integral calculus, with applications, and covers the theory of infinite series and power series, touching on differential equations and a few other topics as well.


Transitioning from Math 135 to Math 152:

Students who intend to go directly from Math 135 to Math 152 will need to fill in some gaps through self-study. Details are in the document: "Transferring From 135 to 152".


Jon Rogawski & Colin Adams, Calculus, Early Transcendentals, 3rd edition, plus WebAssign

Purchase options:

  • Hardcover custom 3rd edition and WebAssign premium access code (for the duration of the 3rd edition). 
    ISBN 978-1-319-04853-2 
    NJ Books: \(125.00.
  • E-book custom 3rd edition and WebAssign premium access code (for the duration of the 3rd edition) 
    ISBN 978-1-319-04911-9 
    NJ Books: \)107.50

The 3rd edition is purchased with a WebAssign access code which will be used throughout the sequence 151-152-251. The publisher is unable to replace this code if it is lost, so be careful to retain it. (The third edition was introduced beginning in Fall 2015.)

Course Materials

Math 153

Math 153 is an intensive form of Math 151 with an extra meeting time, covering the same syllabus. Most of the information given here for Math 151 applies to Math 153 as well.

Math 135

The calculus sequence for most business, economics, and life science majors is 135 followed by 136 or 138. Any students planning to continue the study of mathematics beyond two semesters will need the sequence beginning with 151 and 152.

Math 151-152 in Summer Session

Math 151 and Math 152 have the same content and essentially the same format during summer session as during the fall or spring semesters. Workshops are part of these courses at any time of year, though during the summer there is no TA or peer mentor.

The summer versions of Math 151 and Math 152 do not have a common final exam, and instead each section has a final written by its own instructor. The links below to materials from previous semesters may be helpful in preparing for these exams.

SAS Core Curriculum Learning Goals

QQ: Formulate, evaluate and communicate conclusions and inferences from quantitative information.

QR: Apply effective and efficient mathematical or other formal processes to reason and to solve problems.

Learning Goals

Course Learning Goals for Math 151:

To acquire the ability to compute limits, derivatives and integrals of certain algebraic, trigonometric, exponential and logarithmic functions. To achieve understanding of the notions of continuity and differentiabitily. To develop the ability to use first and second derivatives to determine the shape of the graph of a function. To acquire practice solving optimization problems using calculus.

Course Learning Goals for Math 152:

To acquire practice using the method of disks, washers and cylindrical shells to compute volumes of solids of revolution. To develop the ability to use integration by parts, trigonometric substitution, partial fractions and other techniques to evaluate many indefinite integrals. To acquire practice using the integral test, comparison tests, the Leibniz test and the ratio test to determine convergence or divergence of a series. To acquire practice solving problems involving parametric equations and polar coordinates.

Student Wellness Services

Just in Case Web App Access helpful mental health information and resources for yourself or a friend in a mental health crisis on your smartphone or tablet and easily contact CAPS or RUPD.

Counseling, ADAP and Psychiatric Services (CAPS) (848) 932-7884 / 17 Senior Street, New Brunswick, NJ 08901 / CAPS is a University mental health support service that includes counseling, alcohol and other drug assistance, and psychiatric services staffed by a team of professional within Rutgers Health services to support the efforts of students to succeed at Rutgers University. CAPS offers a variety of services that include: individual therapy, group therapy and workshops, crisis intervention, referral to specialists in the community and consultation and collaboration with campus partners.

Violence Prevention and Victim Assistance (VPVA) (848) 932-1181 / 3 Bartlett Street, New Brunswick, NJ 08901 / The Office for Violence Prevention and Victim Assistance provides confidential crisis intervention, counseling and advocacy for victims of sexual and relationship violence and stalking to students, staff and faculty. To reach staff during office hours when the university is open or to reach an advocate after hours, call 848-932-1181.

Disability Services (848) 445-6800 / Lucy Stone Hall, Suite A145, Livingston Campus, 54 Joyce Kilmer Avenue, Piscataway, NJ 08854 / Rutgers University welcomes students with disabilities into all of the University's educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact the appropriate disability services office at the campus where you are officially enrolled, participate in an intake interview, and provide documentation: If the documentation supports your request for reasonable accommodations, the disability services office in your campus will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, please complete the Registration form on the ODS web site at:

Scarlet Listeners (732) 247-5555 Free and confidential peer counseling and referral hotline, providing a comforting and supportive safe space.

Detailed Schedule of Classes

Course Schedule by sections: instructors, lectures and recitations.

Sections Taught This Semester:

For more information on instructors and sections for this course, please see our Teaching Schedule Page

Disclaimer: Posted for informational purposes only

This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

Contact Us

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530